Answers
Answer:
33600 m²
Step-by-step explanation:
The top and bottom horizontal sides are parallel, so this is a trapezoid with bases DC and AB. The height is BC.
area of trapezoid = (a + b)h/2
where a and b are the lengths of the bases, and h is the height.
We need to find the height, BC.
Drop a perpendicular from point A to segment DC. Call the point of intersection E. E is a point on segment DC.
DE + EC = DC
EC = AB = 360 m
DC = 600 m
DE + 360 m = 600 m
DE = 240 m
Use right triangle ADE to find AE. Then BC = AE.
DE² + AE² = AD²
DE² + 240² = 250²
DE² = 62500 - 57600
DE² = 4900
DE = √4900
DE = 70
BC = 70 = h
area = (a + b)h/2
area = (600 m + 360 m)(70 m)/2
area = 33600 m²
Answer:
33,600 m^2.
Step-by-step explanation:
This is a trapezium, so
Area = (h/2)(a + b)
= (h/2) ( 360 + 600)
= 960h / 2
= 480h,
We find the value of h using Pythagoras:
250^2 = h^2 + (600-360)^2
h^2 = 250^2 - 240^2 = 4900
h = 70.
So the Area = 70 * 480
= 33,600 m^2
Related Questions
Which triangle is a translation of triangle P?
Answers
The distance that you run around the track in gym class is considered ______ data.
A. discrete
B. neither continuous nor discrete
C. continuous
D. both continuous and discrete
Answers
The distance that you run around the track in gym class is considered continuous data.
How to determine the type of data?The variable is given as:
Distance
The distance travelled can take any value between 0 and the length of the track.
Take for instance;
The distance travelled can be 1km and it can also be 1.67 km
This means that the distance is continuous
Hence, the statement that completes the blank is (c) continuous
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How do we combine like terms with negative coefficients
5n+6+(-7n)
Answers
Answer:
- 2n + 6
Step-by-step explanation:
note that + (-) = -
5n + 6 + (- 7n)
= 5n + 6 - 7n ← collect like terms
= 5n - 7n + 6
= - 2n + 6
Select the interval where g is negative.
Choose 1 answer:
A)0B)2C)3
Answers
Answer:
A). 0
Step-by-step explanation:
If you look at the graph, you can see that the only time it passes through the X- Axis is at (0, -20). Therefore, the solution to y=g(x) where g is negative, would be 0.
What is the imagine point of (4,-2) after the transformation ry=-i ○ D1/2
Answers
The image point of (4,-2) after the transformations given is; (2,1).
What is the image point after the transformations?It follows from the task content that the point given is (4, -2) which first reflects over the y axis and hence, renders the new image to be; (4, 2) after which it undergoes a dilation of with dilation factor, 1/2 and hence, the image point is; (2,1).
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f(x) = x^2 + 4x + 20 find the real roots. take your time if you want :)
Answers
Answer:
No real roots
[tex]x = -2 + 4i, x = -2 - 4i[/tex]
Step-by-step explanation:
Hello!
We can solve the quadratic by using the Quadratic Formula.
Standard form of a Quadratic: [tex]ax^2 + bx + c = 0[/tex]
Quadratic Equation: [tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]
Given our Equation: [tex]f(x) = x^2 + 4x + 20[/tex]
a = 1b = 4c = 20Set the equation to 0 and solve using the formula.
Solve[tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-4\pm\sqrt{4^2 - 4(1)(20)}}{2(1)}[/tex][tex]x = \frac{-4\pm\sqrt{16 - 80}}{2}[/tex][tex]x = \frac{-4\pm\sqrt{-64}}{2}[/tex][tex]x = \frac{-4\pm8i}{2}[/tex][tex]x = -2 + 4i, x = -2 - 4i[/tex]There are no real roots to the quadratic.
A group of friends wants to go to the amusement park. They have no more
than $325 to spend on parking and admission. Parking is $11, and tickets cost
$39.25 per person, including tax.
Answers
Considering the definition of an inequality, the number of friends admitted must be less than or equal to 8, expressed as p ≤ 8
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.An inequality contains one or more unknown values called unknowns, in addition to certain known data.
Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.
Inequality in this caseIn this case, you know that:
A group of friends have no more than $325 to spend on parking and admission. Parking is $11Tickets cost $39.25 per person, including tax.Being "p" the maximum number of people who can go to the amusement park, the inequality that expresses the previous relationship is
39.25 p + 11 ≤ 325
Solving:
39.25 p ≤ 325 -11
39.25 p ≤ 314
p ≤ 314÷ 39.25
p ≤ 8
Finally, the number of friends admitted must be less than or equal to 8, expressed as p ≤ 8
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The red blood cell counts for a population of adult males can be approximated by a normal distribution with a mean of 5.3 million cells per microliter and a standard deviation of 0.3 million cells per microliter what is the minimum red blood cells count that can be in the top 28% of accounts
Answers
The minimum red blood cells count that can be in the top 28% of accounts is 5.61%.
Red blood cells, also called crimson cells, purple blood corpuscles, haematids, erythroid cells, or erythrocytes, are the maximum common type of blood cells and the vertebrate's primary approach of delivering oxygen to the body tissues thru blood drift thru the circulatory device.
A low RBC depends, also called anemia, can have an effect on the frame's capability to transport oxygen and vitamins around the cardiovascular machine. it may reason fatigue, dizziness, and heart palpitations. The maximum not unusual form of anemia is iron deficiency anemia. this can result from blood loss, malnutrition, or kidney problems.
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A wall shaped like a trapezoid needs to be painted. The height of the wall is 16 feet and the bases are 20 feet and 24 feet. If one can of paint covers 20 square feet, how many whole cans of paint will the painter need to buy to paint the wall with one coat
Answers
Answer:
18 cans
Step-by-step explanation:
The number of cans of paint will be the least integer greater than or equal to the number required to cover the area of the trapezoid.
Area of a trapezoidThe area of the wall is given by the formula ...
A = 1/2(b1 +b2)h
where b1 and b2 are the bases, and h is the height.
We are given the values b1=20 ft, b2=24 ft, h=16 ft, so the area is found to be ...
A = 1/2(20 ft +24 ft)(16 ft) = 352 ft² . . . . . area of the wall
Cans of paintEach can of paint covers 20 ft², so n cans of paint will cover 20n square feet. We want to find the minimum integer value of n that satisfies ...
20n ≥ 352
n ≥ 17.6 . . . . . . . . . divide by 20
The next larger integer is 18.
The painter will need to buy 18 cans of paint.
A scale drawing of a house addition shows a scale factor of 1 in. = 3.3 ft. josh decides to make the house addition smaller, and he changes the scale of the drawing to 1 in. = 1.1 ft. what is the change in the scale factor from the old scale to the new scale? one-third two-thirds 2.2 3
Answers
3 is the scale factor that was changed from the previous scale to the new scale.
What is the scale factor?
The scale factor is a way to compare figures that appear to be similar but actually have distinct scales or measurements. Let's say two circles have similar appearances but different radii. A figure's scale factor indicates how much larger or smaller it is than the original figure.
What is the change in the scale factor?
A scale drawing is a condensed representation of an original image, structure, or object in terms of dimensions. The scale drawing is typically shrunk at a fixed dimension.
The change in the scale factor = larger scale / smaller scale
3.3 / 1.1 = 3
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Answer: 3
Step-by-step explanation:
Given f(x) =
8x+1
2x-9
what is the end behavior of the function?
ONA
LR
OAS X→∞, f(x) → 9; as x→ ∞, f(x) → 9.
-
OAS X→∞, f(x) →-9; as x, f(x) → -9.
OAS X →∞, f(x) → -4; as x → ∞, f(x) → -4.
As
OAS X-∞, f(x)→ 4; as x→ ∞, f(x)→ 4.
O
BASSENG
D
se
Answers
The end behavior of the given function (range) is x< 4 or x > 4. So, f(x) < 4 or f(x) > 4. The solution in interval notation is [tex]\mathbf{(-\infty, 4) \cup (4, \infty)}[/tex].
The last option is correct.
What is the range of the function?The end behavior of the given function f(x) = (8x+1)/2x-9 wants us to identify the range of the given function.
The range is the set of values of the dependent variable for which a function is defined. The function range is the combined domain of the inverse function.
From the information given:
[tex]\mathbf{f(x) = \dfrac{8x +1}{2x -9 }}[/tex]
Inverse of [tex]\mathbf{\dfrac{8x +1}{2x -9 }}[/tex] becomes [tex]\mathbf{f(x) = \dfrac{1+9x}{2(-4+x) }}[/tex]
The domain of the inverse is x< 4 or x > 4. So, f(x) < 4 or f(x) > 4. Now, representing the solution in interval notation, we have:
[tex]\mathbf{(-\infty, 4) \cup (4, \infty)}[/tex]
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The function has three factors. Two of these factors
are and Determine the values of a and b, and then determine the
other factor.
Answers
The values of a and b will be -2 and 22 while the other factor in the function is x - 3/2.
How to illustrate the function?The function is given as:
f(x) = ax³ - x² + bx - 24.
Since (x - 2) and (x - 4) are the factors, they will give functions of 8a + 2b = 28 and -16a - b = 10.
This will be solved by elimination method and the values of a and b will be -2 and 22.
Therefore, f(x) = -2x³ - x² + 22x - 24
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The angle measurements in the diagram are represented by the following expressions.
Answers
Answer:
X = 12
<B = 45°
Explanation:
From the diagram above:
Alternate exterior angles are equal. Therefore,
[tex]5x - 15 = 2x + 21 \\ collecting \: liketerms \\ 5x - 2x = 21 \: + 15 \\ 3x = 36 \\ dividing \: bothsides \: by \: 3 \\ \frac{3x}{3} = \frac{36}{3} \\ x = 12 [/tex]
For the measure of angle B
2x + 21°
2(12) + 21 = 24 + 21 = 45
Measure of angle B = 45°
This is confusing someone help please
Answers
Answer:
Below in BOLD.
Step-by-step explanation:
5x^2 - 6x - 2 = 0
Quadratic formula for ax^2 + bx + c = 0 is
x = [-b ± √(b^2 - 4ac)]/ 2a
Here we have a = 5, b = -6 and c = -2
so x = [-(-6) ± √((-6)^2 - 4*5*-2)]/ 2*5
= [ 6 ± √(36 + 40)] / 10
= 0.6 ± √76 / 10
= 0.6 ± 0.8718
= 1.4718, -0.2718
= 1.5, -0.3 to one decimal place.
x^2 + 3x = 40
x^2 + 3x - 40 = 0
We can factor this one:
(x - 5)(x + 8) = 0
x - 5 = 0 giving x = 5 and
x + 8 = 0 giving x = -8.
Answer x = -8, 5.
What is the midpoint of the segment shown below? 10 A. (5, 1); (5, 4) B . (5, 1/2) -10 10 (5, - 3) C. (10, 1) D . (10, 1/2)
Answers
Based on the given parameters, the midpoint of the line segment is (5, 1/2)
How to determine the midpoint of the segment?The complete question is added as an attachment
From the figure, we have the following coordinates
(5, 4) and (5, -3)
The midpoint of the segment is then calculated using
(x, y) = 0.5 * (x1 + x2, y1 + y2)
Substitute the known values in the above equation
(x, y) = 0.5 * (5 + 5, 4 - 3)
Evaluate the sum and the difference
(x, y) = 0.5 * (10, 1)
Evaluate the product
(x, y) = (5, 1/2)
Hence, the midpoint of the line segment is (5, 1/2)
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Find the value of z.
A. 100
B. 82
OC. 118
OD. 75
o'
105°
120°
68⁰
Answers
Answer:
B. 82
Step-by-step explanation:
I hope it helps you :)
The value of z in the given figure of circle with two lines dividing it into segments is 100.
We are given that the measures of angles ∠1 and ∠2 are 105° and 120°, respectively.
Step 1: Since the interior angles of a triangle add up to 180°, we know that the measure of ∠3 is 180° - 105° - 120° = 55°.
Step 2: Since ∠3 and ∠z are supplementary angles, we know that m∠3 + m∠z = 180°.
Step 3: Substituting the measures of ∠3 from step 1 into step 2, we get 55° + m∠z = 180°.
Step 4: Subtracting 55° from both sides of the equation in step 3, we get m∠z = 180° - 55° = 125°.
Step 5: Since m∠z = 125°, then z = 125°.
Therefore, the value of z is 100.
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The linear regression method seeks to predict values of a(n) variable based on values of a(n) variable.
Answers
The linear regression method seeks to predict values of a(n) dependent variable based on values of a(n) independent variable.
According to the statement
we have to explain the linear regression method and explain the way by which this method is used to predict the values.
So, For this purpose we know that the
Linear regression is the most basic and commonly used predictive analysis. Regression estimates are used to describe data and to explain the relationship.
And
Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. The variable you are using to predict the other variable's value is called the independent variable.
from these definitions it is clear that the there is a presence of two types of variables which are dependent and independent variables.
So, The linear regression method seeks to predict values of a(n) dependent variable based on values of a(n) independent variable.
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Я
1
Which expression is equivalent to
O
зарко
2,²
345
Зарка
2,²
3x4
44
948
Answers
Answer:
I'm sorry mate for helping for nothing but i just need more points to post my question. I am really sorry.
Instructions: Find m
Answers
Check the picture below.
we could also look at it from the inscribed angle theorem, bearing in mind that the intercepted arc is 180°.
Given that a does not equal b is it ever possible to have square root a + square root b = square root a+b? Someone please help.
Answers
Answer:Yes, it is possible to have the sum of square roots equal the square root of the sum of the radicands.
If either a or b equals zero, then the sums would be the same.
Since the square root of 0 is 0, adding it to a given radical would not change the radical. Also, adding zero to the radicand would not change its value.
Step-by-step explanation:
The statement √a + √b = √(a + b) is not possible since a ≠ b
How to determine whether or not the statement is true?The operation involving surd is most likely an algebraic expression where in the case of surd the value in the square root are like the alphabets in algebraic expression.
Some surd operations are given as shown below:
√a + √a = 2√a√a × √a = a2√a + √a = (2 + 1)√a = 3√a3√a - 2√a = (3 - 2)√a = √a√a × √b = √(a × b) = √(ab)√a + √b = √a + √bNow, let us consider the question given:
a ≠ b√a + √b = √(a + b)Since a and b are not equal, it means
√a + √b ≠ √(a + b)
Thus, we can conclude that the statement √a + √b = √(a + b) is not possible
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Carlos found that the length of the diagonal of his laptop monitor is . If the manufacturer rounds to the nearest whole inch, what size is the monitor as measured by the diagonal
Answers
The size of the monitor as measured by the diagonal to the nearest whole inch, 17 inch.
What is square root?A number's square root is a quantity that, when multiplied by itself, yields the original quantity. There are two ways to calculate the square root of a number: method of prime factorization and division strategy.
For example, both 3 and –3 are square roots of 9
The length of the diagonal of his laptop monitor is squared root of 290
Let 'D' be the diagonal of the monitor.
The,
Diagonal = √290
Use long division method to solve the value,(attached in the file)
√290 = 17.029
= 17.03
Therefore, the value of √290 rounds to the nearest whole inch is 17 inch.
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The correct question is -
Carlos found that the length of the diagonal of his laptop monitor is squared root of 290. If the manufacturer rounds to the nearest whole inch, what size is the monitor as measured by the diagonal? 12 17 97 245
what's y=1/4x-4 on a graph? please helppppppp!!!!
Answers
Answer:
Please see attachment.
Step-by-step explanation:
Remember, the 1/4x is the slope, and the -4 is the y-intercept.
Please see attachment for the graph.
Hope this helps!
The ordered pair (10,63) is a solution to the inequality y
Please select the best answer from the choices provided
True
False
Answers
The ordered pair (10,63) is a solution to the inequality y < -0.2x² + 9x - 7. This illustrates that the statement is true.
What is an inequality?It should be noted that an inequality simply means a statement of an order relationship between two numbers and algebraic expressions.
From the information given, the equation illustrated is:
y < -0.2x² + 9x - 7.
63 < 0.2(10)² + (9 × 10) - 7
63 < 20 + 90 - 7.
63 < 103
In this case, the ordered pair (10,63) is a solution to the inequality y < -0.2x² + 9x - 7. This illustrates that the statement is true since sixty there is less than one hundred and three.
Therefore, this is true.
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Complete question:
The ordered pair (10,63) is a solution to the inequality y < -0.2x² + 9x - 7. Please select the best answer from the choices provided
True
False
f(x) = x² + 5x-1 is shifted 3 units right. The result is g(x). What is g(x)?
O A. g(x) = (x+3)² + 5x-1
OB. g(x)=x2 + 5x+2
C. g(x) = (x+3)2 +5(x + 3) - 1
D. g(x) = (x-3)2 + 5(x-3) -1
Answers
Answer:
D
Step-by-step explanation:
When a function is being shifted to the left, all x values will be added by y units shifted. (The constant that comes with x is excluded, eg. 3x shifted by 2 units left, becomes 3(x+2) and not 3x+2.)
Likewise, when a function is being shifted to the right, all x values will be subtracted by y units shifted. (Constant rules applies as well.)
Given f(x) is shifted 3 units right,
the new function, g(x) becomes:
[tex] g(x) = {(x - 3)}^{2} + 5(x - 3) - 1[/tex]
Therefore the answer is D in this case.
A math class is having a discussion on how to determine if the expressions 4 x minus x + 5 and 8 minus 3 x minus 3 are equivalent. The class has suggested four different methods.
PLEASE HURRY:Which describes the correct method?
Both expressions should be evaluated by substituting one value for x. If the final values of the expressions are both positive after the substitution, then the two expressions must be equivalent.
Both expressions should be evaluated by substituting with one value for x. If the final values of the expressions are the same, then the two expressions must be equivalent.
Both expressions should be evaluated by substituting any two values for x. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.
Both expressions should be evaluated by substituting any two values for x. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.
Answers
Answer:
Both expressions should be evaluated by substituting with one value for x. If the final values of the expressions are the same, then the two expressions must be equivalent.
Step-by-step explanation:
x = 1
4x - (x + 5) = 4 - 6 = -2
8 - 3x - 3 = 8 - 3 - 3 = 2
Draw a line segment of length 6.4 cm and divide it in to 4 equal parts.
Write the length of each part.
Answers
The length of each part of a the line segment is 1.6 cm if a line segment of length 6.4 cm and divided it in to 4 equal parts
What is an equation?An equation is an expression that shows the relationship between two or more number and variables.
The line segment has a length of 6.4 cm. Hence:
Dividing into 4 equal parts = 6.4 / 4 = 1.6 cm
The length of each part of a the line segment is 1.6 cm if a line segment of length 6.4 cm and divided it in to 4 equal parts
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Which of the following shows the power of a power property
Answers
Answer: MULTIPLYING THE EXPONENTS!!!
Step-by-step explanation:
Mark me brainliest
1
Select the correct answer.
What are the zeros of this quadratic function?
fx)=(x-7)(x+8)
OA
x = 0 and x = 7
OB. x= 0 and x = -8
OC. x=-7 and x = 8
OD. x=7 and x = -8
Answers
Answer:
B
hope this helps :)
Answer:
D
Step-by-step explanation:
to find the zeros, equate f(x) to zero, that is
(x - 7)(x + 8) = 0
equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 8 = 0 ⇒ x = - 8
What is the range of the function f(x) = 6x – 2 over the interval of 3 < x ≤ 8
Answers
The range of f(x) = 6x – 2 is [16,46]
According to the statement
we have given the function f(x) = 6x – 2 and the given interval is 3 < x ≤ 8
we know that to find the range of function we have to fill the values in it and then find the range of this function.
So, range is basically a difference between the lowest and the highest value.
Here the given function is f(x) = 6x – 2
when f(3) then
f(3) = 18-2
f(3) = 16.
and when f(8) then
f(8) = 48-2
f(8) = 46.
after put the values we seen that the range of this function is 16,46.
So, The range of f(x) = 6x – 2 is [16,46]
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Answer is :
16 and 46Step-by-step explanation:
Given function
[tex]\sf f(x) = 6x - 2 [/tex]
We need to the find the range of the function over the interval of 3 < x ≤ 8
When, x is 3
Put x = 3 in the given function,
[tex]\sf f(3) = 6(3) +2 [/tex]
[tex]\sf f(3) = 18 - 2 [/tex]
[tex]\sf f(3) = 16 [/tex]
when, x is 8
Put x in the given function,
[tex]\sf f(8) = 6(8) -2 [/tex]
[tex]\sf f(8) = 48 - 2 [/tex]
[tex]\sf f(8) = 46 [/tex]
Hence range of the function f(x) = 6x – 2 is 16 and 46.
The school canteen charges rs. 15for lunch and rs. 5for milk for each day.how much money do you spend in 6 dayson these things?also, mention the property of whole numbers that have been used.
Answers
120Rs is spend in 6 days on these things and distributive property is used
Properties of whole numbers are defined to operate basic arithmetic operations such as addition and multiplication, in an easy way. Applying these properties helps us to solve such math problems quickly, without even using calculators. These properties are almost similar to the properties of integers, although the definition for whole numbers and integers are different.
Total cost of a single day= 15 + 5 = 20Rs
∴ In 6 days total cost = 20 x 6 = 120Rs
Thus 120Rs is spend in 6 days on these things and distributive property is used.
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