Answer:
The slope of the line that passes through (7,-4) and (11 -4) is 0, since it is a horizontal line.
To find the slope when given two points, use the formula:
y2-y1/x2-x1=m(-4- -4)/(11-7)=0/4=0
So the slope is 0 because 0 is the numerator. If 0 is the denominator, the slope will be undefined.
Hope this helped!
Please help will get brainliest and 40 coins! <33
A. The height of the cuboid is 2.5 cm.
B. The suggested dimensions of the cuboid is 25 x 5 x 1.
What is the volume of a figure?The volume of a given three dimensional figure is the total quantity of matter that it can contained. Thus various figures has different methods of determining their volume.
volume of a cube = length x length x length
= (length)^3
volume of a cuboid = length x width x height
Considering the given question, since the volumes of the cube and cuboid are the same, then we have:
volume of a cube = volume of a cuboid
(length)^3 = length x width x height
5^3 = 10 x 5 x height
125 = 50 x height
height = 125/ 50
= 2.5
The height of the cuboid is 2.5 cm.
B. volume of the cuboid = length x width x height
= 10 x 5 x 2.5
= 125 cm^3
Thus possible dimensions for the cuboid 25 x 5 x 1.
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Use this table to answer the question. Round to the nearest percent.
Car Plane Train Total
Green 120 250 500 870
Blue 150 350 750 1250
Yellow 170 200 450 820
Red 200 300 300 800
Brown 220 450 320 990
Total 860 1550 2320 4730
What percent of the total is made up of Green Planes?
16% (percent) of the total planes is made up of Green Planes.
What is the percentage?The percentage refers to the ratio of one value or quantity compared to another.
The percentage can be computed as the quotient of the numerator and the denominator multiplied by 100.
Percentage values range from 0% to 100%.
Car Plane Train Total
Green 120 250 500 870
Blue 150 350 750 1250
Yellow 170 200 450 820
Red 200 300 300 800
Brown 220 450 320 990
Total 860 1550 2320 4730
Green Plane = 250 of 1,550 total planes = 16.13% (250/1,550 x 100)
Green Plane = 250 of 870 Vehicles = 28.74% (250/870 x 100)
Thus, we can conclude that of the 1,550 planes, green planes consist of 16%.
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a, b, c, and d are four different numbers and the proportion is true, which of the following is false?
If a, b, c, and d are four different numbers and the proportion a/b = c/d is true, then none of the statements is false.
What is proportion?
In general, the term "proportion" refers to a part, share, or amount that is compared to a whole. According to the definition of proportion, two ratios are in proportion when they are equal.
Since a/b = c/d, are proportional then can cross-multiply to get ad = bc.
Now, evaluate each statement -
A. b/a = d/c
Cross-multiplying, it is obtained that bc = ad, which is true based on the original proportion.
Therefore, this statement is true.
B. a/c = b/d
Cross-multiplying, it is obtained ad = bc, which is also true based on the original proportion.
Therefore, this statement is true.
C. b/a = c/d
This is equivalent to the original proportion, so it is true.
D. (a + b)/b = (c + d)/d
Simplify the equation -
d(a + b) = b(c + d)
da + db = bc + bd
da = bc
Cross-multiplying, it is obtained that da = bc, which is true based on the original proportion.
Therefore, this statement is true.
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given pseudo code, write the method in JAVA, pseudocode had different parameters PLEASE WRITE WITH ONLY INT[] ARR AS PARAMETER
public static Triple getMaxSubArray(int[] arr) This method returns a triple that represents the maximum subarray. The first element of the triple is the index in arr where the maximum subarray starts, the middle element of the triple is where the index in the arr where maximum subarray ends, and the last element of the triple is the maximum subarray sum
findMaxSubarry(arr,low,high)
if high==low return (low,high,arr[low])
else
mid = mid point of arr
(l-low,l-high,l-sum) = findMaxSubarray(arr,low,mid)
(r-low,r-high,r-sum) = findMaxSubarray(arr,mid+1,high)
c-low,c-high,c-sum) = findMaxCrossing(arr,low,mid,high)
if l-sum ≥ r-sum and l-sum ≥ c-sum
return (l-low,l-high,l-sum)
else if r-sum ≥l-sum and r-sum ≥ c-sum
return (r-low,r-high,r-sum)
else
return (c-low,c-high,c-sum)
findMaxCrossing(arr,low,mid,high)
l-sum = MIN
sum = 0
for i=mid downto low
sum = sum arr[i]
if sum > l-sum
l-sum = sum
max-left = i
r-sum = MIN
sum = 0
for j=mid+1 to high
sum = sum + arr[j]
if sum > r-sum
r-sum = sum
max-right = j
return (max-left,max-right,l-sum+r-sum);
The Pseudocode is discussed below.
What is JAVA?Java is a high-level, class-based, object-oriented programming language that is designed to have as few implementation dependencies as possible.
Given is to write a Pseudo code.
In computer science, pseudo - code is a plain language description of the steps in an algorithm or another system.Pseudo - code often uses structural conventions of a normal programming language, but is intended for human reading rather than machine reading.Pseudocode is an artificial and informal language that helps programmers develop algorithms. Pseudocode is a "text-based" detail (algorithmic) design tool is an artificial and informal language that helps programmers develop algorithms. Pseudocode is a "text-based" detail (algorithmic) design toolTherefore, the Pseudocode is discussed above.
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Grady lists three different expressions below. Determine which expression is not equivalent to the others.
The third expression i.e. a(b) + a(c) is not equivalent to the other expressions. The solution has been obtained by using the algebraic expressions.
What is an algebraic expression?
A mathematical phrase is said to as "algebraic" if it contains variables, constants, and algebraic operations (addition, subtraction, etc.).
We are given three expressions.
The first expression is a + b+ c which represents the sum of the three variables.
The second expression is c + b + a which also represents the sum of the three variables but just the order of adding is different.
The third expression is a(b) + a(c) which represents sum of two variables multiplied with the third variable.
Hence, the third expression i.e. a(b) + a(c) is not equivalent to the other expressions.
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Biking at 10 mph, it takes Kristen 1/4 hour to reach the train station to go to work. Kristen then takes the train to work, and it takes another 1/4 hour for her to get to work when the train travels 28 mph. How far does Kristen travel to work?
a- 37.5
b- 8.5
c- 19.5
d- 9.5
The requried Kristen travels 9.5 miles to work. Option D is correct.
What is speed?Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
Here,
We can use the formula distance = rate x time to solve this problem.
When Kristen is biking, her rate is 10 mph and her time is 1/4 hour. So her distance traveled is:
distance = rate x time
distance = 10 mph x 1/4 hour
distance = 2.5 miles
When Kristen is on the train, her rate is 28 mph and her time is another 1/4 hour. So her distance traveled on the train is:
distance = rate x time
distance = 28 mph x 1/4 hour
distance = 7 miles
Therefore, the total distance Kristen travels to work is the sum of the distances she traveled while biking and on the train:
total distance = distance biked + distance on train
total distance = 2.5 miles + 7 miles
total distance = 9.5 miles
So Kristen travels 9.5 miles to work.
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A triangular prism has height 8 units. The base of the prism is shown in the image. What is the volume of the prism? Round your answer to the nearest tenth.
Do not include units (cubic units) in your answer.
The volume of the triangular prism is 137.2 units cube.
How to find the volume of a triangular prism?The triangular prism has a height of 8 units. The base of the prism is shown in the image. The volume of the prism can be represented as follows:
volume of a triangular prism = BH
where
B = base areaH = heightTherefore, let's find the base area
B = 1 / 2 b h
let's find b
Hence,
tan 65 = b / 4
cross multiply
b = 4 tan 65
b = 8.57802768204
b = 8.58 units
Therefore,
B = 1 / 2 × 4 × 8.58
B = 17.1560553641
Therefore,
volume of a triangular prism = 17.156 × 8
volume of a triangular prism = 137.248442913
Hence,
volume of a triangular prism = 137.2 units cube
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A survey was conducted that asked 1002 people how many books they had read in the past year. Results indicated that x overbar equals 11. 3 books and sequals16. 6 books. Construct a 90% confidence interval for the mean number of books people read. Interpret the interval
The 90% confidence interval for the mean number of books people read is (-16, 38.6).
How to construct a 90% confidence interval for the mean number of books people read?To construct a 90% confidence interval for the mean number of books people read, we first need to find the critical value (z*) that corresponds to a 90% confidence level. This can be found using a z-table or calculator. The critical value for a 90% confidence level is 1.645.
Next, we need to calculate the margin of error (ME) using the formula ME = z* x SE, where SE is the standard error. In this case, SE = 16.6 books, so ME = 1.645 x 16.6 = 27.3 books.
Finally, we can construct the 90% confidence interval by adding and subtracting the margin of error from the sample mean (x overbar). The confidence interval is:
(x overbar - ME, x overbar + ME) = (11.3 - 27.3, 11.3 + 27.3) = (-16, 38.6)
This means that we are 90% confident that the true mean number of books people read is between -16 and 38.6 books.
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The 5th term of a geometric sequence is 729 and the 10th term
is 3. Find the 12th term. Round to the nearest thousandth if
necessary, or answer as a fraction in the form a/b.
Answer:
Step-by-step explanation:
Let the first term of the geometric sequence be 'a' and the common ratio be 'r'.
We know that the 5th term is 729, so:
a * r^4 = 729
10th term is 3, so:
a * r^9 = 3
r^5 = 3/729
r^5 = 1/243
r = (1/243)^(1/5)
r = 1/3
a * (1/3)^4 = 729
a = 3^7
Therefore, the sequence is:
3^7, 3^6, 3^5, 3^4, 3^3, ...
The 12th term is:
3^2 = 9
Calculus, I need help for these exercises
Value of limit expression
[tex]\lim_{\theta \to 0} \dfrac{10\theta}{3sin\theta}[/tex] [tex]=\dfrac{5}{9}[/tex]
Value of limit expression
[tex]\lim_{x \to 1} \dfrac{sin(x -1)}{x^{2} + 5x - 6}[/tex] [tex]= \dfrac{1}{7}[/tex]
What is limit?In mathematics, the limit is the value that the function approaches as the input approaches the value. Limits are essential in calculus and mathematical analysis and are used to define continuity, derivatives and integrals
Given
[tex]a) \lim_{\theta \to 0} \dfrac{10\theta}{3sin\theta}[/tex]
[tex]\dfrac{10}{3} \lim_{\theta \to 0} \dfrac{\theta}{sin6\theta}[/tex]
[tex]sin\theta = \theta - \dfrac{\theta^{3}}{3!} + \dfrac{\theta^{5}}{5!} + .......[/tex]
[tex]\dfrac{10}{3} \lim_{\theta \to 0} \dfrac{\theta}{6\theta - \dfrac{(6\theta)^{3} }{3!} +\dfrac{(6\theta)^{5} }{5!}- ......}[/tex]
[tex]\dfrac{10}{3} \lim_{\theta \to 0} \dfrac{\theta}{(6\theta)(1 - \dfrac{(6\theta)^{2} }{3!} +\dfrac{(6\theta)^{4} }{5!}- ......)}[/tex][tex]\dfrac{10}{3\times6} \lim_{\theta \to 0} \dfrac{\theta}{(\theta)(1 - \dfrac{(6\theta)^{2} }{3!} +\dfrac{(6\theta)^{4} }{5!}- ......)}[/tex][tex]\dfrac{10}{3\times6} \lim_{\theta \to 0} \dfrac{1}{(1 - \dfrac{(6\theta)^{2} }{3!} +\dfrac{(6\theta)^{4} }{5!}- ......)}[/tex]
[tex]\dfrac{10}{3\times6} \times \dfrac{1}{(1 - \dfrac{(0)^{2} }{3!} +\dfrac{(0)^{4} }{5!}- ......)}[/tex]
[tex]=\dfrac{5}{9}[/tex]
[tex]b)\lim_{x \to 1} \dfrac{sin(x -1)}{x^{2} + 5x - 6}[/tex]
[tex]\lim_{x \to 1} \dfrac{(x -1) - \dfrac{(x - 1)^{3}}{3!}-\dfrac{(x - 1)^{5}}{5!} - ......}{x^{2} + 6x - x -6}[/tex][tex]\lim_{x \to 1} \dfrac{(x -1) - \dfrac{(x - 1)^{3}}{3!}-\dfrac{(x - 1)^{5}}{5!} - ......}{x(x + 6) - 1(x +6)}[/tex][tex]\lim_{x \to 1} \dfrac{(x - 1)(1 - \dfrac{(x - 1)^{2}}{3!}-\dfrac{(x - 1)^{4}}{5!} - ......)}{(x- 1)(x +6)}[/tex]
[tex]\dfrac{(1 - \dfrac{(1 - 1)^{2}}{3!}-\dfrac{(1 - 1)^{4}}{5!} - ......)}{(1 +6)}[/tex]
[tex]=\dfrac{1}{7}[/tex]
Hence, [tex]\dfrac{5}{9}[/tex] is value of limit expression [tex]\lim_{\theta \to 0} \dfrac{10\theta}{3sin\theta}[/tex]
and [tex]\dfrac{1}{7}[/tex] is value of expression [tex]\lim_{x \to 1} \dfrac{sin(x -1)}{x^{2} + 5x - 6}[/tex]
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If a plank has a perimeter of 18 feet and an area of 14 square feet what mostly describes the length and the width of the plank
Answer:
length =7 breadth =2
Step-by-step explanation:
l x b = 14, so l= 14/b
2(l+b) =18 , l+b =9
14/b+b=9
[tex]b^ {2}[/tex] -9b+14=0
[tex]b^ {2}[/tex] -7b-2b+14=0
(b-7)(b-2) =0
b= 7 or 2
Write a program that takes three integers as input: low, high, and x. The program then outputs the number of multiples of x between low and high inclusive.
The program to find the divisible values gives the number of multiples of 2 between 3 and 8 inclusive is 3
To check if an integer is divisible by x, you could divide it by x and check if the remainder is 0.
If the remainder is 0, then the integer is divisible by x and therefore is a multiple of x.
We can use this concept to find the number of multiples of x between low and high inclusive.
If low is 3, high is 8, and x is 2, then we can check if each number between 3 and 8 is divisible by 2.
3 is not divisible by 2, so it is not a multiple of 2.
4, however, is divisible by 2, so it is a multiple of 2.
5 is not divisible by 2, so it is not a multiple of 2.
6, however, is divisible by 2, so it is a multiple of 2.
Then 7 is not divisible by 2, so it is not a multiple of 2. 8 is divisible by 2, so it is a multiple of 2.
Therefore, the number of multiples of 2 between 3 and 8 inclusive is 3 (4, 6, and 8).
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Stefany's salary at her company, Horizon Logistics starts at a base salary of $60,000. The table below shows her salary g(x) after x years. Write an explicit rule for the g(x).
An explicit rule for the g(x) will be g(x) = 60,000(1.1)ˣ.
What is the function?A function is a connection between a number of inputs and a single output. A function is, to put it simply, an association between inputs where each input is linked to exactly one output. For each function, a domain, codomain, or range exists. A function is often represented by the expression f(x), where x represents the input.
Given, Stefany's income at her company, Horizon Logistics begins off evolving at a base income of $60,000.
Since Stefany's salary at Horizon Logistics starts at a base salary of $60,000, we can write:
g(1) = 60,000
g(2) = 66,000 = 60,000 + 6000
g(2) = 60,000 + 60000(0.1)
g(2) = 60,000* (1.1)
g(3) = 72600 = 66,000 + 6600 +
g(2) = 66,000 + 66000(0.1)
g(2) = 66,000* (1.1) = 60,000 (1.1)²
And so on
thus, we can formulate the function for g(x)
such that
g(x) = 60,000(1.1)ˣ
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I'll give brainliest
Answer:
x=-15, y=26
Step-by-step explanation:
Two practic;4les are moving in straight lines. The displacement (in meters) of particle 1 is given by the function e^4cos(x) , where x is seconds. The displacement (in meters) of particle 2 is given by the function -x^3 / 3 -x^2 / 2 where x is seconds. Find the first positive time at which the particles have (approximately) the same velocity
A. x= 1.569
B. x= 0
C. x= 0.588
D. x= 1.011
E. x= 2.366
The first positive solution is approximately x = 1.011. Therefore, the answer is D. x= 1.011.
Describe Equation.An equation is a mathematical statement that expresses the equality between two mathematical expressions or values. It is a concise representation of a relationship between two or more variables, which can be represented using symbols or numbers. An equation usually consists of two sides separated by an equal sign, where each side represents a mathematical expression.
Equations are used in various branches of mathematics, science, engineering, and other fields to describe various phenomena and solve problems. They play a crucial role in understanding and describing real-world phenomena, from the laws of physics to the behavior of financial markets. Equations can help us predict outcomes, design solutions, and solve complex problems.
In mathematics, equations are used to solve problems that involve unknown variables. The unknown variables can be found by manipulating the equation to isolate the variable. Solving equations is a fundamental skill in mathematics, and it is often used in fields like physics, chemistry, and engineering.
Equations can be linear or nonlinear, depending on the degree of the variables involved. Linear equations involve variables raised to the first power only, while nonlinear equations involve variables raised to higher powers or are composed of a combination of functions.
In summary, equations are a fundamental tool in mathematics and other fields, which help us describe and understand the relationships between variables and solve problems involving unknown variables.
To find the first positive time at which the particles have approximately the same velocity, we need to find the derivative of the displacement function for each particle, set them equal to each other, and solve for x.
The derivative of the displacement function for particle 1 is:
f'(x) =[tex]-4e^(4[/tex]cos(x))sin(x)
The derivative of the displacement function for particle 2 is:
g'(x) =[tex]-x^2 - x[/tex]
Setting f'(x) equal to g'(x), we get:
[tex]-4e^(4[/tex]cos(x))sin(x) =[tex]-x^2 - x[/tex]
We can solve this equation numerically using a graphing calculator or computer software. The first positive solution is approximately x = 1.011. Therefore, the answer is D. x= 1.011.
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Which point on the number line best represents –1?
Answer:
R
Step-by-step explanation:
-1 is exactly between 0 and -2, meaning that the answer is R.
R is the right answer
Sunny earns
$
12
$12dollar sign, 12 per hour delivering cakes. She worked for
�
xx hours this week. Unfortunately, she was charged
$
15
$15dollar sign, 15 for a late delivery on Tuesday.
How much money did Sunny earn this week?
Therefore , the solution of the given problem of expression comes out to be Sunny earned $12x - 15 this week.
Expression : What is it?Mathematical operations like addition, multiply, and division are necessary. They result in the following when combined: An equation, some information, and a mathematical operator Values, parameters, and arithmetic calculations like additions, subtractions, multiplication and division, and divisions are all found in a statement of fact. Different sentences and words can be contrasted and compared.
Here,
If Sunny worked for x hours and earns $12 per hour, her earnings before the late delivery charge would be:
$12x$
However, since she was charged $15 for the late delivery on Tuesday, her earnings for the week would be:
$12x - 15$
Therefore, Sunny earned $12x - 15 this week.
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The complete question is "Sunny earns $12 per hour delivering cakes. She worked for x hours this week. Unfortunately, she was charged $15 for a late delivery on Tuesday. How much money did Sunny earn this week?"
work is due today i need help because its hard to finish on time
esta es la respuesta 8 B)
porque si lo restas y sumas da a 8
Answer:
Step-by-step explanation:
In a circle with a radius of 0.1, an arc length of 0.4 is intercepted by an angle. To find the angle in radians, we use the formula:
angle in radians = arc length / radius
Substituting the given values, we have:
angle in radians = 0.4 / 0.1 = 4
So the angle in radians is 4 radians, to the nearest tenth.
Multiple-choice questions each have 4 possible answers, one of which is correct. Assume that you guess the answers to 3 such questions. Use the multiplication rule to find the probability that the first two guesses are wrong and the third is correct. That is, find P ( W W C ) , where C denotes a correct answer and W denotes a wrong answer. (round answer to 4 decimal places) P ( W W C ) = What is the probability of getting exactly one correct answer when 3 guesses are made? (round answer to 4 decimal places) P(exactly one correct answer
a) The probability that the first two guesses are wrong and the third is correct is P ( WWC ) = 0.1406
b) The probability that exactly one correct answer when 3 guesses are made 3 P ( WWC ) = 0.4219
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
The number of possible answers = 4
Let the probability that the answer is correct P ( C ) = 1/4
Let the probability that the answer is wrong P ( W ) = 3/4
Now , probability that the first two guesses are wrong and the third is correct is P ( WWC ) = P ( W ) x P ( W ) x P ( C )
On simplifying , we get
The probability that the first two guesses are wrong and the third is correct is P ( WWC ) = ( 3/4 ) x ( 3/4 ) x ( 1/4 )
The probability that the first two guesses are wrong and the third is correct is P ( WWC ) = ( 9/64 ) = 0.1406
And ,
The probability that exactly one correct answer when 3 guesses are made is = P ( WWC ) + P ( WCW ) + P ( CWW )
The probability that exactly one correct answer when 3 guesses are made 3 P ( WWC ) = 3 x 0.140625
The probability that exactly one correct answer when 3 guesses are made 3 P ( WWC ) = 0.4219
Hence , the probabilities are solved
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To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining. Which equations could you use to find the price of one tire patch? Select all that apply. 4x – 1.9 = 22.2 4x – 22.2 = 1.9 4x + 1.9 = 22.2 4x + 22.2 = –1.9 22.2 – 4x = 1.9
Answer:
Step-by-step explanation:
4x-22.2=1.90
22.20-4x=1.90
4x + 1.90 = 22.20
One number exceeds another by 1. The sum of the numbers is 25. What are the numbers?
Let's call the smaller number "x". Since the larger number exceeds the smaller number by 1, we can call the larger number "x + 1".
The problem tells us that the sum of the numbers is 25, so we can set up an equation:
x + (x + 1) = 25
Simplifying and solving for x:
2x + 1 = 25
2x = 24
x = 12
So the smaller number is 12. To find the larger number, we can use x + 1:
x + 1 = 12 + 1 = 13
So the larger number is 13.
Therefore, the two numbers are 12 and 13.
if 2 apples can be bought in Rs 48 , how many apples can be bought in Rs 1098 ?
don't spam-
tysm! :)
Answer:
Rs 1098 can buy 45.75 apples (or approximately 45 apples, since we cannot buy a fractional part of an apple).
Step-by-step explanation:
We can use proportionality to solve this problem. Since the price of apples is directly proportional to the number of apples, we can set up a proportion:
2 apples / Rs 48 = x apples / Rs 1098
To solve for x, we can cross-multiply and simplify:
2 * Rs 1098 = 48 * x
Rs 2196 = 48x
x = Rs 2196 / 48
x = 45.75
Therefore, Rs 1098 can buy 45.75 apples (or approximately 45 apples, since we cannot buy a fractional part of an apple).
a square of side x inches is cut out of each corner of a 9 in by 12 in piece of cardboard and the sides are folded up to form an open topped box
write the volume V as a function of its side x
The volume of the open-topped box expressed as the function is V(x) = x(9 - 2x)(12 - 2x)
How to determine the volume as a functionFrom the question, we have the following parameters that can be used in our computation:
Length = 9
Width = 12
Cut out = x
The volume as a function of x is represented as
V(x) = (Length - 2x) * (Width - 2x) * x
Substitute the known values in the above equation, so, we have the following representation
V(x) = x(9 - 2x)(12 - 2x)
Hence, the function si V(x) = x(9 - 2x)(12 - 2x)
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HELP ASAP!I WILL GIVE YOU BRAINLIST IF YOU ANSWER!
The areas and the perimeters of the composite figures are listed below:
Case 1: A = 36 cm² (Right choice: A)
Case 2: p = 30 cm (Right choice: G)
Case 3: A = 46 cm² (Right choice: I)
Case 4: p = 38 cm (Right choice: H)
How to determine the perimeter and the area of a composite figure
In this problem we find two composite figures that are result of combining three rectangles, whose perimeters are the sum of all side lengths and whose areas are the sum of the areas of the rectangles. The formulae for the perimeter and the area of a rectangle are, respectively:
Perimeter
p = 2 · (w + l)
Where:
p - Perimeter, in centimeters.w - Width, in centimeters.l - Height, in centimeters.Area
A = w · l
Where A is the area, in square centimeters.
Now we proceed to determine the perimeters and areas according to the case:
Case 1
A = 2 · (3 cm) · (5 cm) + (2 cm) · (3 cm)
A = 30 cm² + 6 cm²
A = 36 cm² (Right choice: A)
Case 2
p = 2 · (3 cm) + 3 · (2 cm) + 2 · (5 cm) + 8 cm
p = 6 cm + 6 cm + 10 cm + 8 cm
p = 30 cm (Right choice: G)
Case 3
A = 2 · (5 cm) · (4 cm) + (2 cm) · (3 cm)
A = 40 cm² + 6 cm²
A = 46 cm² (Right choice: I)
Case 4
p = 2 · (4 cm) + 2 · (5 cm) + 2 · (2 cm) + 3 cm + 13 cm
p = 8 cm + 10 cm + 4 cm + 3 cm + 13 cm
p = 38 cm (Right choice: H)
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FILL IN THE BLANK question 1 options: two polygons are similar if and only if there is a correspondence among their angles and among their sides so that all corresponding angles are ___and all corresponding sides are proportional.
Two polygons are similar if and only if all corresponding angles are congruent and all corresponding sides are proportional. The solution has been obtained by using concept of similar quadrilaterals.
What are similar quadrilaterals?
Two quadrilaterals are considered to be similar when two adjacent sides have the same ratio and all three matching angles are equal (the fourth angle automatically becomes equal because the internal angle sum equals 360 degrees).
Two polygons are similar if and only if there is a correspondence among their angles and among their sides so that all corresponding angles are congruent and all corresponding sides are proportional.
Hence, the corresponding angles need to be congruent.
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Can someone solve this problem thank you
Answer:
[tex]\frac{3}{x+7}[/tex]
Step-by-step explanation:
[tex]\frac{3x-21}{x^{2} -49}[/tex]
We will start with factoring the numerator, by pulling a 3 out of each term:
3(x - 7)
We will then factor the denominator. As the denominator is a difference of perfect squares (in the form [tex]x^{2} -a^{2}[/tex]), we know that it can be factored in the form (x + a)(x - a), a being the square root of the number given. (In this case, a = 7, because the square root of 49 is 7.)
Our denominator is now:
(x + 7)(x - 7)
And our fraction is now:
[tex]\frac{3(x-7)}{(x-7)(x+7)}[/tex]
As both the numerator and denominator have the term (x-7), they will cancel, leaving us with the simplified expression:
[tex]\frac{3}{x+7}[/tex]
The variable y varies directly with the variable x.
A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 10, 14. Column 2 is labeled y with entries 3, 15, blank, where y is
If the value of x is 14, what is the value of y?
Now that we know k is 3/2, we can use the formula to find the value of y when x is 14:
y = (3/2)(14) = 21
Therefore, when x = 14, y = 21.
What is a variable defined as?A variable is a number in mathematics that can change depending on the issue. Several statements and equations in mathematics use the generic letters x, y, and z. Or to put it another way, a variable is a symbol that denotes an unknowable numerical value. Assume that x + 5 = 10. The term "x" is used here.
Since y varies directly with x, we know that the ratio of y to x is constant. Let's call this constant k. Then we can write:
y = kx
To find k, we can use the first two rows of the table:
When x = 2, y = 3, so:
3 = k(2)
k = 3/2
When x = 10, y = 15, so:
15 = k(10)
k = 3/2 (which matches the previous calculation)
Now we can use k to find y when x = 14:
y = (3/2)(14) = 21
Therefore, when x = 14, y = 21.
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answer please and make answers clear
h(-2) = 3
h(0) = 0
h(5) = 3/4
This can be solved by using the concept of function.
What is function?In arithmetic, a function from one set to another, X to Y, allocates precisely one element of Y to each element of X. Both of the set X and the set Y usually known as the function's domain and codomain, respectively. The basic conception of functions was the relationship between fluctuating quantities and other variables.
A function with the name f is defined by the formula y=f(x). This is understood to mean "y is a function of x." The input value, also known as an independent variable, is represented by the letter X. The outcome value, or dependent variable, is denoted by the letter y, or f(x).
This is a piece wise-defined function:
For h(-2):
h(-2) = 3
For h (0):
h(0) = (x + 1)²- 1
h(0) = (0 + 1)² - 1
h(0) = 1 - 1
h(0) = 0
For h(5):
h(5) = -1/4 x + 2
h(5) = -1/4(5) + 2
h(5) = 3/4
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PLEASE HURRY what is the volume of this cube
enter your answer as a decimal in the box
volume of a cube = x³
where x the length of the side of the cube
so, the volume = (4.2)³
= 74.088 in³
Please hurry class ends in 20 minutes
Answer:
33 inches
Step-by-step explanation:
Use triangle calculator online