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TEA [102]
3 years ago
5

Dominic is building a bench with a seat in the shape of a trapezoid. One base is 5 feet. The other base is 4 feet. The perpendic

ular distance between the bases is 2.5 feet. what is the area of the seat
Mathematics
1 answer:
Vlad [161]3 years ago
8 0
By definition, the formula for finding the area of a trapezoid is
 A = [(b1 + b2) x h] / 2
 Where,
 b1: Base 1
 b2: Base 2
 h: height, or distance between bases.
 Substituting we have:
 A = ((5 + 4) * (2.5)) / 2
 A = 11.25 feet ^ 2

 Answer: 
 the area of the seat is:
 A = 11.25 feet ^ 2
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Liliana wants to determine the height of an enlarged photo that she plans to frame. The original photo was 11 inches wide by 14
inn [45]

Answer: 168 inches.

Explanation:

First thing you must always do when solving word problems is read closely, and take note of any number.

In this case, the first thing we must do is find the scale factor.

For this, we use one of the dimensions. We will use the width of the photo.

We have then:

k = 132/11

k = 12

Then, we look for the value of the height of the new photo. To do this, we multiply the scale factor by the original dimension.

We have then:

14k = 14 (12) = 168

Thus, 168 inches is your answer! :)

Hope this helps! :)

7 0
3 years ago
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Determine whether or not the two triangles are congruent. If they are state by what postulate.
avanturin [10]
Congruent
SSS (because of Pythagoras)
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The total cost of admission, A, to the circus for a group varies directly with the number of tickets purchased, t. If 3 tickets
Harman [31]
3t=105 and simplified is t=35
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3 years ago
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Mia plans to build a fence to divide her rectangular garden into two triangular areas. use the diagram to find the length of fen
Rasek [7]

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Mia will need a fence that is 9.22 meters long.

Step-by-step explanation:

5 0
2 years ago
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the graph shows the number of wimbledon championships of several countries. Write the ration that compares the championships won
arlik [135]

Answer:

The ratio that compares the championships won by Australia to the total number won by the United States is equal to \frac{2}{5}

Step-by-step explanation:

Observing the graph

we know that

The championships won by Australia are 6

The championships won by the United States are 15

To find out the ratio, divide the championships won by Australia by the total number won by the United States.

so

\frac{6}{15}

Simplify

Divide by 3 boths (numerator and denominator)

\frac{2}{5}

Convert to percentage

\frac{2}{5}=0.40*100=40\%

that means

For every 2 championships won by Australia the United States won 5

or

The championships won by Australia are 40% of the championships won by the United States

4 0
3 years ago
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