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Sauron [17]
2 years ago
7

The length of a rectangular dining hall is 8 feet less than twice it’s width. The perimeter of the room will be 134 feet. What a

re the dimensions of the dining hall?
Please explain.
Mathematics
1 answer:
ddd [48]2 years ago
5 0

Answer:

Length = 42, Width = 25

Step-by-step explanation:

You write out the equation for the length, which is L=2w-8 (Length is L and width is W) You substitute in the length in the original equation, 2L + 2W = 134 ( I got this equation from knowing that 2 lengths plus 2 widths equals the perimeter, 134.) Substitute 2w-8 for L, you're left with 2(2w-8) + 2w = 134. Simplify further, you have 4w-16+2w=134. Once you're done, you have W=25. Plug that back into the original equation, then solve. L = 2(25)-8, L=42.

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antiseptic1488 [7]

Answer:

(-1.703, 2.396)

(1.37, 6.493)

Step-by-step explanation:

We can easily solve this question by using a plotting tool or any graphing calculator,

The solution to the system of equation is given by the intersection points between the graphs of

y1 = −x^2 + x + 7

y2 = x^2 + 3x + 7

Please, see attached picture below.

The solutions are:

(-1.703, 2.396)

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5 0
3 years ago
Find the value of X, rounded to the nearest tenth. <br> A. 31.8<br> B. 31.4<br> C. 10.3<br> D. 10.7
Alenkinab [10]

Answer:

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Step-by-step explanation:

To find x, the hypotenuse, we need to use sin because we have been given the <u>opposite</u> (the side opposite the angle 35°) and we need to work out the <u>hypotenuse</u> (the longest or <em>slanted</em> side):

SOH, CAH, TOA

sin(θ) = opposite ÷ hypotenuse

Sub in the values (we don't know the hypotenuse so i've called it x):

sin(35) = 18 ÷ x (multiply both sides by x)

x × sin(35) = 18 (divide both sides by sin(35))

x = 18 ÷ sin(35) = 31.38204...

x ≈ 31.4

Hope this helps!

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hjlf

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Step-by-step explanation:

x=g(h(a−4))

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