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3 years ago

Find measure of angle 1.

Mathematics

1 answer:

alekssr [168]3 years ago

3 0

Answer:

angle 1=90-(180-90+33)

90-57

angle 1=33

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Twice the sum of Paloma's age and 15 is 106. How old is Paloma?

fredd [130]

Answer: 121

Step-by-step explanation:

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3 years ago

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Whats longer 3 hours or 175 minutes

avanturin [10]

3 hours is longer than 175 minutes. An hour is 60 minutes long, so just multiply that by 3 and compare your answer to 175.

60 x 3 = 180
180 > 175

Therefore, 3 hours is longer than 175 minutes.

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3 years ago

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The volume of a sphere is increasing at a constant rate of 141 cubic feet per minute. At the instant when the radius of the sphe

ch4aika [34]

Answer:

0.093 ft/min

Step-by-step explanation:

V = 4/3 π r³

Take derivative with respect to time:

dV/dt = 4π r² dr/dt

Plug in values:

141 = 4π (11)² dr/dt

dr/dt = 141 / (484π)

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The radius is increasing at 0.093 ft/min.

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4 years ago

Time (min)

Gala2k [10]

The only way I could ever do that is 3

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3 years ago

77. the volume of a cube is increasing at a rate of <img src="https://tex.z-dn.net/?f=10%20%5Cmathrm%7B~cm%7D%5E%7B3%7D%20%2F%20

Colt1911 [192]

Answer:

$\displaystyle \frac{4}{3}\text{cm}^2/\text{min}$

Step-by-step explanation:

Given

$\displaystyle \frac{dV}{dt}=10\:\text{cm}^3/\text{min}\\ \\V=s^3\\\\SA=6s^2\\\\\frac{d(SA)}{dt}=?}\:;s=30\text{cm}$

Solution

(1) Find the rate of the cube's edge length with respect to time at s=30:

$\displaystyle V=s^3\\\\\frac{dV}{dt}=3s^2\frac{ds}{dt}\\ \\10=3(30)^2\frac{ds}{dt}\\ \\10=3(900)\frac{ds}{dt}\\\\10=2700\frac{ds}{dt}\\\\\frac{10}{2700}=\frac{ds}{dt}\\\\\frac{ds}{dt}=\frac{1}{270}\text{cm}/\text{min}$

(2) Find the rate of the cube's surface area with respect to time at s=30:

$\displaystyle SA=6s^2\\\\\frac{d(SA)}{dt}=12s\frac{ds}{dt}\\ \\\frac{d(SA)}{dt}=12(30)\biggr(\frac{1}{270}\biggr)\\\\\frac{d(SA)}{dt}=\frac{360}{270}\biggr\\\\\frac{d(SA)}{dt}=\frac{4}{3}\text{cm}^2/\text{min}$

Therefore, the surface area increases when the length of an edge is 30 cm at a rate of $\displaystyle \frac{4}{3}\text{cm}^2/\text{min}$ .

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2 years ago

Find measure of angle 1. ​

Find measure of angle 1.