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vladimir1956 [14]
3 years ago
14

A rectangular building has a perimeter of 208 meters. It’s area is 2415 square meters. What are the dimensions of the building?

Mathematics
1 answer:
Zepler [3.9K]3 years ago
7 0

Answer:

Step-by-step explanation:

Perimeter of rectangle = 208 m

2*(l + w) = 208  {divide both sides by 2}

l +w = 208/2

l +w = 104

l = 104 - w

Area of rectangle = 2415 square meters

l*w = 2415

Substitute l = 104 - w in the above equation,

(104 - w ) *w = 2415

104w - w² = 2415

0 = 2415 - 104w + w²

w² - 104w + 2415 = 0

Sum = -104

Product  = 2415

Factors = (-69) , (-35)

w² - 35w - 69w + (-69)*(-35) = 0

w(w - 35) - 69(w - 35) = 0

(w -35)(w -69)

w - 35 = 0    ; w  -69 = 0

w = 35    ; w = 69

The dimensions of the building: 35 , 69

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D. 172.5 inches cubed

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Find the inverse: f(x)=x+5/3x-1<br><br> f^-1x=
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We have f(x)=\dfrac{x+5}{3x-1}.

To find inverse function f^{-1}(x) we substitute x with f^{-1}(x) and vice-versa to get

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Now solve for f^{-1}(x). Note that I will use j instead.

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THE property of two rational numbers is -28/81. If one of them is -2/3, then find the other.
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4 0
3 years ago
Let m Z1=(3x)º, m 22=(5x-7)", m 23=(4x+15), and m ZAFD=128º. Find m44 and m ZBFD.​
olga55 [171]

Answer:

m<4 = 52°

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Step-by-step explanation:

m<1 = (3x)°

m<2 = (5x - 7)°

m<3 = (4x + 15)°

m<AFD = 128°

✔️Find m<4:

m<4 = 180° - m<AFD (angles on a straight line)

Substitute

m<4 = 180° - 128°

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✔️m<BFD = m<2 + m<3

Substitute

m<BFD = (5x - 7)° + (4x + 15)°

We need to find the value of x.

Create an equation to find x.

m<1 + m<2 + m<3 = m<AFD (angle addition postulate)

Substitute

3x + 5x - 7 + 4x + 15 = 128°

Add like terms and solve for x

12x + 8 = 128

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Plug in the value of x

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3 years ago
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