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Vedmedyk [2.9K]
3 years ago
7

The rectangular floor of a storage shed has an area of 580 square feet. The length of the floor is 9 feet more than its width (s

ee figure). Find the dimensions of the floor.
Length= ? Ft
Width= ? Ft
Mathematics
1 answer:
Marysya12 [62]3 years ago
8 0

9514 1404 393

Answer:

  • length: 29 ft
  • width: 20 ft

Step-by-step explanation:

Assuming the dimensions are integer numbers of feet, you're looking for factors of 580 that have a difference of 9.

 580 = 1×580 = 2×290 = 4×145 = 5×116 = 10×58 = 20×29

The last pair of factors differs by 9, so ...

  the length is 29 feet; the width is 20 feet.

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Use compound interest formula:
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6 0
3 years ago
Maria goes to Applebee's with her 2 friends. They each order an entrée, which costs $15 each, and a soda, which costs $3.50 each
Leona [35]

Answer:

Part A: The total is 57.58

Part B: 19.19 each

Step-by-step explanation:

Part A: 15(3) +3.50(3)=55.50

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Part B: 57.58 divided by 3 is $19.19 ( I do 3 because Maria and 2 more friends)

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6 0
3 years ago
Which points on the number line represent the quotients of these expressions?
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naturak no.

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6 0
3 years ago
An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con
natta225 [31]

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

L = 3w --- (1)volume = l \times w \times h \\ \\ 88 =  (3w)   \times w  \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\

The construction cost now is:

C = 4(l \times w) + 2 ( w  \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w  \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}

Now, to determine the minimum cost:

\dfrac{dC}{dw}= 0  \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}

w = \dfrac{88}{3(3)}^{1/3} \ feet

Now;

length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet

height = ( 88})^{1/3} (3)^{1/3} \ feet

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3 years ago
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Sin is equal to the same number, no matter how big or small you make the triangle because the sine of the angle is equal to the opposite side divided by the hypotenuse.

4 0
3 years ago
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