Answer: x=−5
Step-by-step explanation:
8x+32=5x−3−4x
8x+32=x−3
8x+32−x=−3
7x+32=−3
7x=−3−32
7x=−35
x=- 35/7
x=−5
Answer:
h = 10 m
Step-by-step explanation:
The formula for area of a trapezoid is
A = (1/2)(B + b)h where B is the bottom base, b is the top base, and h is the height.
We are given B = 16, b = 14, and A = 15, plug those values in and simplify
150 = (1/2)(16 + 14)(h)
150 = (1/2)(30)(h)
150 = (15)h (half of 30 is 15)
10 m = h (divide both sides by 15 to isolate h)
Combine like terms : 2 = p - 8
Add 8 on both sides : 10 = p
Hope this helps.
Based on the required width and height of the tent, the length of the cloth would have to be 14.4 ft.
<h3>How long should the length of the cloth be?</h3>
The opening of the tent would be an isosceles triangle but if it is divided in two from the top, a right-angled triangle will be formed and the hypotenuse will be the length of the cloth on one side.
That length - according to the Pythagoras theorem - would be:
= √(6² + (8 /2)²)
= √(36 + 16)
= 7.2 ft
As this is the length of one side of the cloth, the length of the entire cloth is:
= 7.2 x 2
= 14.4 ft
Find out more on the Pythagoras theorem at brainly.com/question/343682.
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