The length of each side of the octagon with area of 576 square centimeters and an apothem of 16 centimeters is 9 centimeters .
Area of an Octagon:Compared to lower sided shapes, an octagon's area is a little more complicated. A normal octagon's area is equal to 4 as. Where "s" stands for the octagonal side and "a" for the apothem, which runs straight from the pentagon's center to one of its sides.
The formula for the area of a regular octagon is:
A = 4 × apothem × side
Using this formula and the given values, we can solve for the length of each side of the octagon:
576 = 4 × 16 × side
Dividing both sides by 4 × 16, we get:
side = 576 ÷ (4 × 16)
Simplifying the right-hand side, we get:
side = 576 ÷ 64 = 9 cm.
Therefore, the length of each side of the octagon is 9 cm .
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Answer:
Step-by-step explanation:
which out of these 3 is ratios equivalent to 6:2
24:8 9:1 2:6
Answer:
24 : 8
Step-by-step explanation:
24/4 is equal to 6
8/4 is equal to 2
Answer:
24:8
Step-by-step explanation:
The easiest way to do these kinds of problems is by doing some simple division. Usually you only need to look at the first number, which in this case is 6, and see if any numbers can be divided by this number. The first ratio is 24:8, and since the other first number can't be divisible by 6, we know the answer is 24:8
What is derivative of cosx ?
The derivative of cosx is -sinx
Derivative defines the change in the dependent variable with respect to a small change in the independent variable
This means that if we have
y = cosx
where x is the independent variable and y is the independent variable, then the derivative of cosx i.e y will be the amount of change in y due to a small change in x.
i.e, dy/dx = -sinx
we also write this as
d/dx (cosx) = -sinx
This can be proved by the first principle where
[tex]f'(x) = \lim_{h \to 0} \frac{ [f(x + h) - f(x)] }{h}[/tex]
Hence we get
d/dx (cosx)
[tex]f'(x) = \lim_{h \to 0} \frac{ [cos(x + h) - cosx] }{h}[/tex]
[tex]= \lim_{h \to 0}\frac{[-2sin\frac{x+h+x}{2} sin\frac{x+h-x}{2}]}{h}[/tex]
[tex]= \lim_{h \to 0}\frac{ [-2sin\frac{2x+h}{2} sin\frac{h}{2} ]}{h}[/tex]
[tex]= \lim_{h \to 0}\frac{ [-sin\frac{2x+h}{2} sin\frac{h}{2} ]}{h/2}[/tex]
Now we know that [tex]\lim_{x \to0} \frac{sinx}{x} = 1[/tex]
Hence we get
-sinx
Therefore derivative of cosx = -sinx
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how long is 38 inches in feet
Answer:
3.16666667
Step-by-step explanation:
convert in a calculator online
inches to feet
what is 161cm in feet?
On converting the length 161cm to feet , we get that 161 cm is equivalent to 5.29 feet .
There are different units that are used to measure the length or distance ;
such as feet , centimeter , meter , kilometer .
We have to convert the length : 161 centimeter to feet ;
we know that ; 1 centimeter is approximately equal to 0.0328 feet ;
So , we multiply 161 centimeter with 0.0328 ,
On multiplication ,
we get ;
⇒ 161 centimeter = 161 × 0.0328 ;
⇒ 161 centimeter = 5.2822 feet .
Therefore , 161 cm is approximately equal to 5.29 feet .
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how to convert 1/8 to a percentage
Answer:
1/8 = 12.5%
first, you can convert your fraction into a decimal by 1 divided by 8, which is 0.125. To change a decimal to percent, I can use DP, so D meaning decimal, and P meaning percent so we are going from the decimalcto percent by moving two places to the right, starting at your point. So 0.125 is 12.5%
What is the missing numerator?
1. The population of Charlotte, North Carolina, can be approximated by an exponential function. The population in Charlotte was 396,000 in 1990 and 872,000 in 2018. Create a function that finds the population of Charlotte, C in thousands t years after 1990. (1 point)
A. C(t)=872(1.029)^t
B.C(t)=396(1.029)^t
C. C(t)=872(1.202)^t
D. C(t)=396(1.045)^t
Answer:
(B) C(t) = 396(1.029)^t.
Step-by-step explanation:
We can use the formula for exponential growth to find the function that models the population of Charlotte:
C(t) = C0 * r^t
where C0 is the initial population (in thousands), r is the annual growth rate, and t is the number of years after the initial population was recorded.
We are given that the population in Charlotte was 396,000 in 1990 and 872,000 in 2018. This means that the population grew by (872,000 / 396,000)^(1/28) per year on average (since there are 28 years between 1990 and 2018).
So the annual growth rate is approximately 1.029.
Therefore, the function that finds the population of Charlotte in thousands t years after 1990 is:
C(t) = 396 * 1.029^t
T/F. The correlation coefficient (r ) is a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables.
The statement that "The correlation coefficient (r ) is a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables" is true.
The correlation coefficient (r) is a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables. It ranges from -1 to +1, with a value of -1 indicating a perfect negative linear relationship, 0 indicating no linear relationship, and +1 indicating a perfect positive linear relationship. The sign of r indicates the direction of the relationship, with a negative sign indicating an inverse relationship and a positive sign indicating a direct relationship. Thus, the correlation coefficient provides a useful summary of the degree to which two variables are related in a linear fashion.
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what is subtracting fractions calculator online
The subtracting fractions calculator online is a free online calculator showing the difference between two fractions.
The fraction represents the components of the whole in mathematics. It is important to keep track of the fraction types while subtracting fractions, whether they are like or unlike fractions. Like fractions are fractions with the same denominators, and unlike fractions are fractions with distinct denominators. When a fraction is similar, the numerator value can simply be removed. The methods to subtract the fractions are listed below if the denominators are the opposite fractions.
Take the denominator's LCM.
Now multiply the numerator and denominator values by the same number to convert the denominator value to the LCM value.
Finally, subtract the values of the fractions.
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pls help probability
math
The given table is studied and the probability for each case of the question is found as given below.
What is meant by probability?
The probability of an occurrence is a figure that represents how likely it is that the event will take place. It is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.
1) Earning 10000 - 13000 per month and owning exactly 2 vehicles.
Number of families surveyed = 2400
Number of families earning 10000 - 13000 per month and owning exactly 2 vehicles = 29
Therefore required probability = 29/2400 = 0.0121
2) Earning 16000 or more per month and owning exactly 1 vehicle.
Number of families surveyed = 2400
Number of families earning 16000 or more per month and owning exactly 1 vehicle = 579
Therefore required probability = 579/2400 = 0.241
3) Earning less than 7000 per month and does not own any vehicle.
Number of families surveyed = 2400
Number of families earning less than 7000 per month and does not own any vehicle = 10
Therefore required probability = 10/2400 = 1/240
4) Earning 13000 - 16000 per month and owning more than 2 vehicles.
Number of families surveyed = 2400
Number of families earning 13000 - 16000 per month and owning more than 2 vehicles = 25
Therefore required probability = 25/2400
5) Number of families surveyed = 2400
Number of families owning not more than 1 vehicle = Number of families owning 0 vehicles + Number of families owning 1 vehicle
= (10+0+1+2+1)+(160+305+535+469+579)
= 2062
Therefore required probability = 2062/2400 = 0.86
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roman numerals 1-100
I
II
III
IV
V
VI
VII
VIII
IX
X
XI
XII
XIII
XIV
XV
XVI
XVII
XVIII
XIX
XX
XXI
XXII
XXIII
XXIV
XXV
XXVI
XXVII
XXVIII
XXIX
XXX
XXXI
XXXII
XXXIII
XXXIV
XXXV
XXXVI
XXXVII
XXXVIII
XXXIX
XL
XLI
XLII
XLIII
XLIV
XLV
XLVI
XLVII
XLVIII
XLIX
L
LI
LII
LIII
LIV
LV
LVI
LVII
LVIII
LIX
LX
LXI
LXII
LXIII
LXIV
LXV
LXVI
LXVII
LXVIII
LXIX
LXX
LXXI
LXXII
LXXIII
LXXIV
LXXV
LXXVI
LXXVII
LXXVIII
LXXIX
LXXX
LXXXI
LXXXII
LXXXIII
LXXXIV
LXXXV
LXXXVI
LXXXVII
LXXXVIII
LXXXIX
XC
XCI
XCII
XCIII
XCIV
XCV
XCVI
XCVII
XCVIII
XCIX
C
Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
The two equations that are true for x = –2 and x = 2 are:
x2 – 4 = 0 (true for x = –2) and 4x2 = 16 (true for x = –2 and x = 2)
What is Quadratic equation ?Quadratic equation can be defined as equation in which it is in the form of[tex]ax^2+bx+c = 0[/tex]
The options are:
x2 – 4 = 0
x2 = –4
3x2 + 12 = 0
4x2 = 16
2(x – 2)2 = 0
To check which equations are true for x = –2 and x = 2, we can substitute these values into each equation and see if it results in a true statement or not.
Substituting x = –2:
(-2)2 – 4 = 0 --> True
(-2)2 = –4 --> False
3(-2)2 + 12 = 0 --> True
4(-2)2 = 16 --> True
2((-2) – 2)2 = 0 --> False
Substituting x = 2:
22 – 4 = 0 --> False
22 = –4 --> False
3(2)2 + 12 = 0 --> False
4(2)2 = 16 --> True
2((2) – 2)2 = 0 --> True
Therefore, the two equations that are true for x = –2 and x = 2 are:
x2 – 4 = 0 (true for x = –2) and 4x2 = 16 (true for x = –2 and x = 2)
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the probability that a continuous random variable equals any of its values is
the probability that a continuous random variable equals any of its values is Zero.
This problem, we have been asked what is the probability of a continuous random variable being equal to any of its values, so the answer will be 0. The probability that a continuous random variable equals any of its values will be 0 point now.
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
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Complete Question
The probability that a continuous random variable equals any of its value is?
In ΔWXY, y = 7.3 inches,
�
m∠Y=141° and
�
m∠W=8°. Find the length of w, to the nearest 10th of an inch.
The length of w is 33.8 inches.
What is Sines law?
The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides. It is also known as the sine rule.
What are opposite angles ?
If two lines intersect and make an angle, say X=45°, then its opposite angle is also equal to 45°. And the angle adjacent to angle X will be equal to 180 – 45 = 135°. When two lines meet at a point in a plane, they are known as intersecting lines.
This is a law of sines problem since the triangle that contains side WY has all the angle measures & one of side measures.
a/sin a = b/sin b
7.3/sin 39 = YW/sin 8
YW = 7.3sin 8/sin 39 = 33.8
Hence , the length of w is 33.8 inches.
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Graph the line with slope 3/4 passing through the point (5,2).
pls help!!!
A graph of the line with slope 3/4 passing through the point (5, 2) is shown in the image attached below.
How to determine an equation of this line?In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.At data point (5, 2), a linear equation in standard form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 2 = 3/4(x - 5)
y - 2 = 3x/4 - 15/4
y = 3x/4 - 1.75
In conclusion, we would use an online graphing calculator to plot the above linear equation as shown in the graph attached below.
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Jamal drank two and one-sixth bottles of water in the morning and three and seven-eighths bottles in the afternoon. Estimate how much water Jamal drank in all.
5 bottles
five and one-half bottles
6 bottles
six and one-half bottles
Using the addition of the given fractions we know that Jamal drank a total (D) of six and one-half bottles of water.
One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division.
The entire amount or sum of the two whole numbers is obtained by adding them.
Mathematicians utilize addition as their main arithmetic operation to determine the sum of two or more numbers.
For instance, 7 + 7 equals 14.
So, the given fractions are:
2 1/6 and 3 7/8
Now, add them as follows:
2 1/6 + 3 7/8
13/6 + 31/8
52+93/24
145/24
6 1/24
Therefore, using the addition of the given fractions we know that Jamal drank a total (D) of six and one-half bottles of water.
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Complete question:
Jamal drank two and one-sixth bottles of water in the morning and three and seven-eighths bottles in the afternoon. Estimate how much water Jamal drank in all.
A. 5 bottles
B. five and one-half bottles
C. 6 bottles
D. six and one-half bottles
how do you defining a vector in matlab?
Answer:
Step-by-step explanation:
You can create a vector both by enclosing the elements in square brackets like v=[1 2 3 4 5] or using commas, like v=[1,2,3,4,5]. They mean the very same: a vector (matrix) of 1 row and 5 columns.
the nth term of a quadratic sequence can be written as an^2 + bn +c. Here are its first 4 terms. 3, 14, 29, 48. find the values of a, b and c.
The values of a , b and c in the given quadratic sequence are
a = 2, b = 5, c = -4
Quadratic Sequence:The ordered collections of numbers known as quadratic sequences are based on the rule n2 = 1, 4, 9, 16, 25. (the square numbers). Every quadratic sequence has a n2 term.
Now in the given question ,
For nth term we have,
an² + bn + c
n = 1:
a + b + c = 3 Eq. 1
n = 2:
4a + 2b + c = 14 Eq. 2
n = 3:
9a + 3b + c = 29 Eq. 3
Eq. 2 minus Eq. 1
3a + b = 11 Eq. 4
Eq. 3 minus Eq. 2
5a + b = 15 Eq. 5
Eq. 5 minus Eq. 4
2a = 4
a = 2
Plug in a = 2 into Eq. 4
3(2) + b = 11
b = 5
Plug in a = 2 and b = 5 into Eq. 1.
2+5 + c = 3
c = -4
The required values are , a = 2, b = 5, c = -4.
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Brandon reads a study that says the median usage for gaming apps is 94 minutes per week, with an interquartile range of 145 minutes. The study also says the median usage for social media apps is 117 minutes per week, with an interquartile range of 190 minutes.
What can vou conclude from these statistics? Complete the sentence.
While the median usage for both types of apps is relatively similar, the usage range for gaming apps is much narrower than that of social media apps
From these statistics, we can conclude that gaming apps have a much narrower usage range than social media apps. To understand this concept, let's look at the interquartile range for each type of app.
The interquartile range (IQR) is the range of values between the 25th percentile and the 75th percentile of a given data set.
In this case, the IQR for gaming apps is 145 minutes, while the IQR for social media apps is 190 minutes.
This indicates that gaming apps have a much narrower range of usage than social media apps.
The median usage for gaming apps is 94 minutes, while the median usage for social media apps is 117 minutes.
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Answer: less than and less than
Step-by-step explanation: got it wrong by listening to the other answer :\
1. A toy rocket is launched from a 4. 9 m high platform in such a way that its height, h (in meters), after t seconds is given by the equation h=−4. 9t2+33. 6t+4. 9. How long will it take for the rocket to hit the ground?
he toy rocket will hit the ground after approximately enter your response here seconds.
2. The length of a rectangle is 7 centimeters less than five times its width. Its area is 24 square centimeters. Find the dimensions of the rectangle.
The width is enter your response here cm.
Part 2
The length is enter your response here cm.
3. Jeff and Kirk can build a 75-ft retaining wall together in 10 hours. Because Jeff has more experience, he could build the wall by himself 1 hour quicker than Kirk. How long would it take Kirk (to the nearest minute) to build the wall by himself?
It will take Kirk approximately enter your response here hours enter your response here min to build the wall himself.
(Round to the nearest minute as needed. )
4. On the last three physics exams a student scored 87, 85, and 91. What score must the student earn on the next exam to have an average of at least 90?
The student must score at least enter your response here%
In the given question, the rocket will hit the ground in 7 seconds. The width of the rectangle is 3 cm. Kirk makes the wall in 5.5 hours. The student needs 97 marks.
The relation between the height and the time of the toy rocket has been given in the question as,
h = -4.9t²+33.6t + 4.9
where,
h= height of the rocket after getting launched
t= time after which the rocket has been launched
So, if we have to calculate how much time the rocket takes to reach the ground,
we have to take h=0 (at ground).
So, the equation becomes
0 = -4.9t²+33.6t + 4.9
Now, the roots of this equation will give the time at which the rocket will hit the ground.
So, after calculating we get
t = -0.1428 sec
or
t = 7 sec
since negative time is not possible,
the time at which the rocket will hit the ground is 7 seconds.
The length of the rectangle is = 5b-7 cm
Hence, the area is = b(5b-7) = 24
Hence, the width comes out to be = 3 cm
Kirk would be able to make the wall in 5.5 hours. This is because Jeff can make it one hour earlier than him i.e., K-1 hours. So, we get -
= (K-1) + K = 10
= 2K = 11
= K = 5.5 hours
The student already has 87 + 85 + 91 = 263 marks. He needs at least -
= (263 + x) / 4 = 90
= 97 marks
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what is 1000 mcg to mg?
One milligram(mg) is equal to 1000 micrograms(mcg).
One microgram is equivalent to one millionth of a gram since the word "micro" in micrograms refers to one millionth. The prefix "milli" in milligrams, on the other hand, denotes a thousandth, making 1 milligram equivalent to a thousandth of a gram.
Given that 1 milligram is equivalent to 1000 micrograms, it is simple to convert between micrograms and milligram. In several fields, notably medicine, where accurate quantities of medications and other chemicals are frequently measured in micrograms or milligram, this translation is crucial.
The conversion between various metric prefixes is a key feature of the metric system, which is often used to represent measurements of mass, length, and volume.
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Ten cards are randomly chosen from a deck of 52 cards. Each of the selected cards is put in one of 4 piles, depending on the suit of the card. What is the probability that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1?
The probability that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1 is approximately 0.012 or 1.2%.
To solve this problem, we need to count the number of ways to choose 10 cards from a deck of 52 cards and then divide by the total number of ways to put these cards into 4 piles.
Step 1: Count the total number of ways to choose 10 cards from a deck of 52 cards using the combination formula:
C(52, 10) = 52! / (10! × 42!) = 158,200,242,880 / (3,628,800 × 99,884,160) = 1,787,671
Step 2: Count the total number of ways to put 10 cards into 4 piles. We can think of each card as having 4 choices, one for each pile. Therefore, the total number of ways to put the cards into piles is:
[tex]4^{10}[/tex] = 1,048,576
Step 3: Count the number of ways to put 10 cards into 4 piles such that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1.
First, we need to choose 4 cards from the 10 cards to go into the largest pile. This can be done in C(10,4) ways:
C(10,4) = 10! / (4! × 6!) = 210
Then, we need to choose 3 cards from the remaining 6 cards to go into the next largest pile. This can be done in C(6,3) ways:
C(6,3) = 6! / (3! × 3!) = 20
Next, we need to choose 2 cards from the remaining 3 cards to go into the next largest pile. This can be done in C(3,2) ways:
C(3,2) = 3! / (2! × 1!) = 3
Finally, the remaining card goes into the smallest pile. Therefore, there is only one way to put the card into the smallest pile.
Therefore, the total number of ways to put 10 cards into 4 piles such that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1 is:
C(10,4) × C(6,3) × C(3,2) × 1 = 210 × 20 × 3 × 1 = 12,600
Step 4: Calculate the likelihood by dividing the number of ways in Step 3 by the number of ways in Step 2:
P = 12,600 / 1,048,576 = 0.012 or 1.2%.
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Caleb took 18 photos at the zoo. One sixth of his photos are of giraffes. How many of Caleb's photos are of giraffes?
The amount of photos that are giraffes is 3
1.) Caleb has 18 photos from going to the zoo.
2.) One sixth of them are giraffe pictures.
So basically, what you want to do is divide 18 by 6 = 3
The answer is : There are 3 giraffe photos out of the total 18 photos.
I need help with this please
Answer: 9. False
10. True
11. False
12. False, it is called an isosceles triangle
Step-by-step explanation:
Find the point on the curve y= x^2 - 3x + 5 where the normal is parallel to the tangent to the curve at the point (4, 9), and hence find the equation of this normal. Any help would be appreciated, Thanks in advance
The point on the curve y = x^2 - 3x + 5 where the normal is parallel to the tangent to the curve at the point (4, 9), we need to find the slope of the tangent at the point (4, 9) and then find the point on the curve where the slope of the normal is the same. The equation of the normal is y = -1/5x + 4.52.
First, find the derivative of the function y = x^2 - 3x + 5 to get the slope of the tangent:
dy/dx = 2x - 3
Next, plug in the x-value of the point (4, 9) to find the slope of the tangent at that point:
dy/dx = 2(4) - 3 = 5
The slope of the normal at any point on the curve will be the negative reciprocal of the slope of the tangent at that point. So, the slope of the normal at the point we are looking for will be -1/5.
To find the point on the curve where the slope of the normal is -1/5, set the derivative of the function equal to -1/5 and solve for x:
2x - 3 = -1/5
10x - 15 = -1
10x = 14
x = 1.4
Plug this x-value back into the original function to find the y-value:
y = (1.4)^2 - 3(1.4) + 5 = 4.24
So, the point on the curve where the normal is parallel to the tangent at the point (4, 9) is (1.4, 4.24).
Finally, to find the equation of the normal, use the point-slope form of a line:
y - y1 = m(x - x1)
y - 4.24 = -1/5(x - 1.4)
y = -1/5x + 4.52
So, the equation of the normal is y = -1/5x + 4.52.
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What are the measures of ∠ADC and ∠DCB in the figure?
please show how you got it and do not attach a file i can't open it du to some issuse
Therefore , the solution of the given problem of triangle comes out to be ∠ADC = 100 and ∠DCB = 39 Degree.
What does a triangle actually mean?Given that they have three quadrants or more, triangles are considered polygons. It has a straightforward geometric shape. The letters ABC form a right-angled triangle when put together. Euclidean geometry creates a new rectangle of square when the borders are incompatible. Given that they have three sides and three corners, triangles are categorised as polygons. The corners of a triangle are determined by where its three sides meet. The sum of the angles inside a triangle is 180 degrees.
Here,
Given :
A triangle ADC and Triangle DCB
To find the angle :∠ADC and ∠DCB in the figure
So,
Acc to triangle angle sum property:
43 + 3y + 7 + 2x + 17 = 180
Simplifying, we get:
2x + 3y + 67 = 180
Subtracting 67 from both sides, we get:
2x + 3y = 113
and
61 + 3y - 13 + 4x - 1 = 180
4x + 3y + 47 = 180
4x + 3y = 133
2x + 3y = 113
4x + 3y = 133
-4x - 6y = -226
Adding this to the second equation, we get:
-3y = -93
Dividing both sides by -3, we get:
y = 31
Substituting this value of y into either equation, we can solve for x:
2x + 3(31) = 113
2x + 93 = 113
2x = 20
x = 10
Therefore, the solution is x = 10, y = 31.
Thus,
∠ADC = 3(31) + 7 = 93 + 7 = 100
∠DCB = 4(10) -1 = 40 -1 =39
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40% of an amount is $4 find the full amount
The full amount is $10.
According to given information :Let x be the full amount.
We know that 40% of the amount is equal to $4, so we can set up the equation:
0.4x = 4
To solve for x, we can divide both sides by 0.4:
x = 4 ÷ 0.4
x = 10
Therefore, the full amount is $10.
What is expression ?In mathematics, an expression is a combination of numbers, variables, and operations that are grouped together. It can be a simple expression, like "2 + 3", or a more complex one, like "(x + 3) / (y - 2)".
Expressions can be evaluated to produce a result, but they are not necessarily equations, since they don't always include an equal sign. They can also be used as components in larger expressions or equations.
For example, the expression "2x + 3y" can be used as part of the equation "2x + 3y = 12" to represent a relationship between x and y, or it can be used as part of a larger expression, like "(2x + 3y) / 5".
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The area of the rectangle is 34.56cm squared. The diamtetr is 2.75cm. WHAT is the surface area.
The total surface area is 46.43 square centimeter.
What is surface area?The region that includes the base(s) and the curved portion is referred to as the total surface area. It is the overall area that the object's surface occupies. The total area of a shape with a curved base and surface is equal to the sum of the two areas.
Given that, the area of the rectangle is 34.56 cm².
Here, the diameter is 2.75 cm, so radius =2.75/2=1.375 cm
Cylinder is made up of 1 rectangle and 2 circles.
Now, area of 2 circles =2πr²
= 2×3.14×1.375²
= 11.87 cm²
So, total surface area = 34.56+11.87
= 46.43 cm²
Therefore, the total surface area is 46.43 square centimeter.
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A store buys 4 sweaters for $20 and sells them for $136. How much profit does the store make per sweater?
Answer:
The profit per sweater is 29 dollars.
Step-by-step explanation:
First find the total profit.
136 - 20
116 for all 4 sweaters
Now divide by 4 since there are 4 sweaters to find the profit per sweater.
116/4
29
The profit per sweater is 29 dollars.
-x+5-7y-3y-5+3 combining like terms
-x - 10y +3 after grouping related terms and adding their respective coefficients.
what is coefficients ?A polynomial, a set, or the quadratic coefficient of a specific term in an equation are almost all examples of coefficients in algebra. Usually numeric, but any phrase is acceptable. If the correlates are variables, them can also be referred to as "specifications" by themselves. A coefficient is calculated multiplied by a component. Examples of ratios include: In the expression 14c 14c 14c, the coefficient is 14. Word g has to have a coefficient of 1, which doubles the element by this figure. example A coefficient is 6 becuase "z" is a variable and the definition of the word is 6z. The square that x's coefficient is one.
given
-x+5-7y-3y-5+3
We add the coefficients of like phrases after combing them.
-x - 7y -3y +3
= -x - 10y +3
-x - 10y +3 after grouping related terms and adding their respective coefficients.
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