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3 years ago

If the length of a rectangle is 12 ft. and its area is 84 sq. ft., find the width of the rectangle.

Mathematics

1 answer:

Ket [755]3 years ago

7 0

Area = LxW
84 = 12 x x
84/12 = 7

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Answer:

triple the scale factor

Step-by-step explanation:

meaning the scale factor would have to be ³ (cubed) to become the volume ratio

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3 years ago

RS bisects QRT, mangleQRS = (3x + 8), and mangleSRT = (5x − 4).

Leya [2.2K]

Bisect typically means half but since we aren't given angle at the start so we can just have to solve for x.

(3x + 8) = (5x - 4)

3x = 5x - 12

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x = 6

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The answer would be 1

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find the volume of the smallest right circular cylinder that will hold a sphere whose radius is 4 meters. find the volune of the

Sonja [21]

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\quad 
\begin{cases}
r=radius\\
------\\
r=4
\end{cases}\implies V=\cfrac{4\pi 4^3}{3}\implies V=\cfrac{256\pi }{3}\\\\
-------------------------------\\\\
\cfrac{sphere}{cylinder}\qquad \cfrac{2}{3}\impliedby ratio~thus\implies \cfrac{2}{3}=\cfrac{\stackrel{sphere}{v}}{\stackrel{cylinder}{v}}
\implies 
\cfrac{2}{3}=\cfrac{\frac{256\pi }{3}}{v}
\\\\\\
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3 years ago

Select all the pairs that could be reasonable approximations for the diameter and circumference of a cirlce 5 meters and 22 mete

bazaltina [42]

Answer:

Option a) circle 5 meters and 22 meters

Step-by-step explanation:

We are given the following information in the question:

A pair of diameter and the circumference is given. We have to find a correct approximations for the diameter and circumference.

a) circle 5 meters and 22 meters

$\text{Diameter} = 5\text{ meters}\\\text{Circumference} = \pi d = 3.14\times 5 = 15.7\text{ meters}$

b) 19 inches and 50 inches

$\text{Diameter} = 19\text{ inches}\\\text{Circumference} = \pi d = 3.14\times 19 = 59.66\text{ inches}$

c) 33 centimeters and 80 centimeters

$\text{Diameter} = 33\text{ centimeters}\\\text{Circumference} = \pi d = 3.14\times 33 =103.62\text{ centimeters}$

Thus, no pair gives a reasonable approximation. Only the circle with diameter 5 and circumference 22 meters have closest approximation.

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3 years ago