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3 years ago

A rectangular prism has a length of 6cm and a width of 4cm. If its surface area is 208cm squared, what is its height?

Mathematics

1 answer:

bogdanovich [222]3 years ago

6 0

Answer:

Step-by-step explanation:

h=A

2﹣lw

l+w=208

2﹣6·4

6+4=8

it does show the division so i know u won't know what i did

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Answer:

8.602325

Simplified: 8.6

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3 years ago

If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in cm/min) at which the diameter d

grin007 [14]

Answer:

The diameter decreases at a rate of 0.053 cm/min.

Step-by-step explanation:

Surface area of an snowball

The surface area of an snowball has the following equation:

$S_{a} = \pi d^2$

In which d is the diameter.

Implicit differentiation:

To solve this question, we differentiate the equation for the surface area implictly, in function of t. So

$\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}$

Surface area decreases at a rate of 3 cm2/min

This means that $\frac{dS_{a}}{dt} = -3$

Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.

This is $\frac{dd}{dt}$ when $d = 9$ . So

$\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}$

$-3 = 2*9\pi\frac{dd}{dt}$

$\frac{dd}{dt} = -\frac{3}{18\pi}$

$\frac{dd}{dt} = -0.053$

The diameter decreases at a rate of 0.053 cm/min.

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%7B12%7D%20%2B4%5Csqrt%7B25%7D%20-%5Csqrt%7B108%7D%20-%5Cfrac%7B1%7D%7B4%7D%20%5Csqrt%7

Eduardwww [97]

20−6√3

Step by step Explanation:

√12+4√25−√108−1/4 √192

2√3+4×5-√108-2√3

2√3+20-√108-2√3

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3 years ago

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3 years ago

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Korvikt [17]

Answer:

Longest side = 13 inches

Step-by-step explanation:

Perimeter of triangle = 30 inches

x + 4x - 8 + 2x +3 = 30

x + 4x + 2x - 8 + 3 = 30

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7x = 30 + 5

7x = 35

x = 35/7

x = 5

Longest side is the hypotenuse.

Longest side = 2x + 3 = 2*5 + 3 = 10 + 3 = 13 inches

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3 years ago

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