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iogann1982 [59]
3 years ago
5

a section in a stained glass window is shaped like a trapezoid. the top base is 4 centimeters and the bottom base is 2.5 centime

ters long. if the area of the section of glass is 3.9 square centimeters. how tall is the section
Mathematics
1 answer:
Lesechka [4]3 years ago
6 0
Hello, so the equation for the area of a trapezoid is                                      A = (a+b)*(h/2)             

In which, a is one of the bases, b is the other base, and h is the height. A is the Area. If you wanna solve for height, rearrange the equation to what h equals.

First divide (a+b) from both sides
<span>A/(a+b) = h/2  </span>

Now multiply 2 on both sides

2(A/(a+b)) = h

Now you have it rearranged equal to just h. Plug in the values now.

2(3.9/(4+2.5)) = h

2(3.9/(6.5)) = h

2(.6) = h

1.2 = h

<span>The section is 1.2 centimeters tall.your welcome</span>
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On a balanced scale are a 25-g mass, a 100-g mass, and five identical blocks marked X as shown. What is the mass of each block m
expeople1 [14]

Answer:

One block - 15

Two blocks - 30

Three blocks - 45

Four blocks - 60

Five blocks - 75

Equation: 25 + 5x = 100

Step-by-step explanation:

This is a pretty simple problem. The scale is balanced and from what we know, the 100 and 25 are on different sides. If we want the scale to be balanced, then we have to solve the equation:

25 + 5x = 100.

(We have the 5x because we have 5 blocks that are marked as x)

subtract 25 from both sides

25-25 + 5x = 100-25

5x = 75

the following step is to divide both sides by 5.

5x/5 = 75/5

x = 15

Now that the equation is solved, we know that ONE blocked marked as X equals 15-g.

(All five of them equal 75-g)

5 0
3 years ago
What's the sender to 9 and 12
lana [24]
#9
3/8 x 4/11 = 3/22

#12
9/20 x 4/5 = 9/25
8 0
3 years ago
Read 2 more answers
In the triangles below, DF is congruent to MN,DG is congruent to MP, angle d is congruent to angle p. Can you prove that triangl
olga nikolaevna [1]
<h2>Answer:</h2>

Definitely we can't prove that triangle DFG is congruent to MNP. The reason is because the angles that are congruent don't match the corresponding vertex, that is, the corresponding vertices of these triangles are as follows:

D is corresponding to M

F is corresponding to N

G is corresponding to P

But the angle we know in the first triangle lies on vertex D while on the second triangle the angle lies on vertex P but it should lies on vertex M, so we'd prove they are congruent by Side-Angle-Side Postulate (SAS).

4 0
3 years ago
Angles T and V are complementary.Angle T has a measure of (2x+10) Angle V has a measure of 48 what is the value of x
never [62]
The answer is x=16

complimentary means that when the measures of both angles are added together they equal 90 degrees. To get the answer you subtract 48 from 90 and get 42. Then you subtract 10 from 42 because it is added in the parentheses. Then you divide 32 by 2 and you get your answer which is 16.
3 0
3 years ago
A circular hedge surrounds a sculpture on a square base. The radius of the hedge is 6x. The side length of the square sculpture
andrey2020 [161]
Hi, thank you for posting your question here at Brainly.

Since the hedge is surrounding the square base, the area of the base can be determined by subtracting the area of the base from the hedge.

A = pi*r^2 - (4x)^2
A = pi*(6x)^2 - (4x)^2
A = 2x^2*(3pi - 2)

I hope I was able to answer your question. Have a good day.
6 0
3 years ago
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