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VikaD [51]
3 years ago
10

2510. Fill in the blanks.a. 7+9_9+7c. 16x12=x 16​

Mathematics
1 answer:
Yakvenalex [24]3 years ago
5 0

Answer:

=

192

Step-by-step explanation:

idek what the last question is asking

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How do I do question 9 & 11? Please help thank you!
Novay_Z [31]
<h2>9.</h2><h3>Given</h3>
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<h3>Find</h3>
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<h3>Solution</h3>

The equation for volume of a sphere is

... V = (4/3)π·r³

Differentiating gives

... dV = 4π·r²·dr

Filling in the given numbers gives

... change in volume ≈ 4π·(15 cm)²·(0.4 cm)

... = 360π cm³ ≈ 1130.97 cm³ . . . . . . volume of layer 4mm thick

<h2>11.</h2><h3>Given</h3>
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  • rate of change of x is 0.01 cm/s
<h3>Find</h3>
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<h3>Solution</h3>

The area is that of two cubes of dimension x joined together. The area of each such cube is 6x², but the two joined faces don't count in the external surface area. Thus the area of the cuboid is 10x².

The volume of the cuboid is that of two cubes joined, so is 2x³. Then the rate of change of volume is

... dV/dt = (d/dt)(2x³) = 6x²·dx/dt

We know x² = A/10, where A is the area of the cuboid, so the rate of change of volume is ...

... dV/dt = (6/10)A·dx/dt = 0.6·(129.6 cm²)(0.01 cm/s)

... dV/dt = 0.7776 cm³/s

5 0
3 years ago
Two cyclists leave town at the same time on the same road going in  the same direction. Cyclist a is going 6 miles per hour fast
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3 years ago
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