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SCORPION-xisa [38]
3 years ago
11

A metal cube contracts when it is cooled. if the edge of the cube is decreasing at a rate of 0.2 cm/hr, how fast is the volume c

hanging when the edge is 60 centimeters?
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
7 0

Answer:

2160 cm³/hour

Step-by-step explanation:

By default, we know that the volume of a cube is given as s³

Thus, the Volume function, V = s³

When we differentiate with respect to time we have

dV/dt = 3s² (ds/dt), where ds/dt = 0.2

Then we go ahead and substitute all the given parameters

dV/dt = 3 x 60 x 60 x 0.2

dV/dt = 10800 * 0.2

dV/dt = 2160 cm³/hour

This means that the volume decreases by a rate of 2160 cm³/hour at the instant its edge is 60 cm

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Answer:

She eats 14 ounces in one week and 60 ounces in 30 days.

Step-by-step explanation:

1 week = 7 days

2 × 7 = 14 ounces

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The rotation of the triangle ABC 360 degrees about the y-axis forms a cone

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Answer:

8.789120

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3 years ago
A view that shows half of an object as a sectional view and the other half of the object as a normal view is called a __________
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3 years ago
PLEASEE HEELLLP!!! I'LL GIVE BRAINLIEST!
Amanda [17]

Answer:

x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96

Step-by-step explanation:

The two angles above the horizontal line form a linear pair, so they are supplementary. Their measures add to 180 deg. That let's you find the value of x.

28x - 7 + 24x + 18 = 180

52x + 11 = 180

52x = 169

x = 169/52

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Now use the lower left angle and the upper right angle. They are vertical angles, so they are congruent. That allows you to solve for y.

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I don't know what the problem is asking for since you don't show.

x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96

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