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Rudiy27
3 years ago
11

To make his house more energy-efficient, Ernest is putting solar film on the large trapezoid-shaped window in his living room. T

he window has an area of 25 square feet. The top of the window is 3 feet long, and the bottom is 7 feet long. Which equation can you use to find how tall the window is, h? 25=h(3+7) 25= 1 2 h(3+7) How tall is the window? Write your answer as a whole number or decimal. Do not round.
Mathematics
1 answer:
disa [49]3 years ago
7 0

Answer:

25 = 1/2(3 + 7)h

5 feets

Step-by-step explanation:

Given that:

Window shaped in the form of a trapezium :

The length of its bases :

Top of window base = 3 feets

Bottom of window base = 7 feets long

Area of Windom = 25 feets²

Recall :

Area of a trapezium is given by :

Area, A = 1/2(a + b)h

a and b are the bases

h = height

Inputting the Given values into the equation :

25 = 1/2(3 + 7)h

Hence, the height of the window can be Obtian using the expression

25 = 1/2(3 + 7)h

25 = 1/2(10)h

25 = 5h

h = 25 /5

h = 5 feets

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Step-by-step explanation:

You can use the following formula to solve this kind of problems,

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log_{4}(300)  =  log_{4}(4 \times 5 \times 3 \times 5)  \\  =  log_{4}(4)  + log_{4}(5)  + log_{4}(3)  + log_{4}(5)  \\   = 1 + 1.1610 + 0.7925 + 1.1610 \\  = 4.1145

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