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Bess [88]
2 years ago
13

Quadrilateral $abcd$ is a trapezoid with $ab$ parallel to $cd$. we know $ab = 20$ and $cd = 12$. what is the ratio of the area o

f triangle $acb$ to the area of the trapezoid $abcd$? express your answer as a common fraction.

Mathematics
1 answer:
alekssr [168]2 years ago
4 0
Draw a diagram to illustrate the problem as shown below.

The area of triangle acb is
A₁ = (1/2)*20*h = 10h

The area of trapezoid abcd is
A₂ = (1/2)*(20+12)*h = 16h

The ratio A₁/A₂ is
A₁/A₂ = (10h)/(16) = 5/8

Answer:
The ratio of triangle acb to the area of trapezoid abcd is 5/8.

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What is the value of the expression below when x=4x=4? 7x^2 +8x-7 7x 2 +8x−7
Vinil7 [7]

Answer: 137

Step-by-step explanation:

The given expression: 7x^2 +8x-7

We need to find the value of the expression when x=4.

So we just use the substitution property and substitute the value of x= 4 in the given expression , we get

7(4)^2+8(4)-7\\\\= 7(16)+32-7\\\\= 112+25\\\\=137

Hence, the value of the expression at x=4 is 137.

3 0
2 years ago
Maurice and three other volunteers work at the hospital every week. if the number of hours each volunteer works is always the sa
agasfer [191]
12 hours & 4 volunteers
5 0
2 years ago
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Find the equation of the line below if necessary use the slash (/) to indicate a division bar (2,6)(1,3)
777dan777 [17]
Given that the line passes through points:
(2,6), (1,3)
the equation will be given by:
m(x-x1)=y-y1
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m=(6-3)/(2-1)=3/1=3
thus the equation will be given by:
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7 0
2 years ago
Consider the three functions below. f(x) = Negative StartFraction 6 Over 11 EndFraction (eleven-halves) Superscript x g(x) = Sta
Setler79 [48]

Answer:

The correct option is;

The ranges of f(x) and h(x) are similar and different from the ranges of g(x)

Step-by-step explanation:

Here we have the functions given as follows;

f(x) = -6/11 (11/2)ˣ

g(x) = 6/11 (11/2)⁻ˣ

h(x) = -6/11 (11/2)⁻ˣ

from the above equations, it can be seen that f(x) and h(x) are always negative while g(x) is always positive

f(x) and h(x) are symmetric about the y axis while g(x) and h(x) are symmetric about the x axis

Also h(x) is the inverse of f(x) hence the ranges of f(x) and g(x) are similar and are different from the ranges of g(x).

9 0
2 years ago
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Below are summary statistics for the sizes (in acres) of some local vineyards. Using the summary statistics, complete parts (a)
rjkz [21]

Answer:

option B

Step-by-step explanation:

The symmetric distribution have close or approximate values of median and mean. In the given scenario mean is 48.5 and median is 33. We can see that the both values significantly differs. Also, given mean is greater than median(48.5>33) . Thus, the distribution is positively skewed and not symmetrical.

Hence, the distribution is skewed because mean and median significantly differ from each other.

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2 years ago
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