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Rudiy27
2 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]2 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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Answer: 5040 7-digit numbers

Step-by-step explanation:

Permutations:

1: 1 ==> 1 permutation ==> 1 ==> 1!

12: 12, 21 ==> 2 permutations ==> 1*2 ==> 2!

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7-digits: 7!=

1*2*3*4*5*6*7=5040 7-digit numbers

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2 years ago
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2 years ago
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The answer would be 11 gallons.

The tub starts with 32 gallons. Every minute it loses 3 gallons.

So after 1 minute it has lost 3 gallons. For example:
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Now you have to remember that the tub is draining for 7 minutes. So it is losing 3 gallons 7 times, because it loses 3 gallons each minute and there are 7 minutes.

We can use multiplication to find how many gallons the tub loses after 7 minutes. This sign “X” basically means “groups of”. We have 7 groups of 3, or
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This is the same as saying we have 3, 7 times. Written like this:

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Now we take the original number of gallons and take away what was lost:

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So there are 11 gallons left after 7 minutes.

Please let me know if you need any further explanation. Hope this helped.

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