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valentinak56 [21]
3 years ago
11

The two interior angles on one lateral face of a pyramid-shaped

Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer:

Option (B)

Step-by-step explanation:

From the property of a triangle,

Sum of all interior angles of the triangle is 180°

By applying this property in the given triangle IHK,

m∠HIK + m∠IKH + m∠KHI = 180°

m∠HIK + 35° + 35° = 180°

m∠HIK = 180° - 70°

            = 110°

Therefore, measure of the unknown angle of the given triangle is 110°.

Option (B) will be the answer.

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The radius of a right circular cone is increasing at a rate of 2 inches per second and its height is decreasing at a rate of 2 i
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Answer:

Rate of change of volume when the radius is 40 inches and the height is 20 inches = 0 inch³/s

Step-by-step explanation:

We have

         \texttt{Volume = }\frac{1}{3}\pi r^2h

Taking derivative with respect to time,

         V=\frac{1}{3}\pi r^2h\\\\\frac{dV}{dt}=\frac{1}{3}\pi \frac{d}{dt}\left (r^2h \right )\\\\\frac{dV}{dt}=\frac{1}{3}\pi \left ( 2r\frac{dr}{dt}\times h+r^2\frac{dh}{dt}\right)

Given that

          r = 40 inches

          h = 20 inches

         \frac{dr}{dt}=2inch/s\\\\\frac{dh}{dt}=-2inch/s

Substituting

        \frac{dV}{dt}=\frac{1}{3}\pi \left ( 2r\frac{dr}{dt}\times h+r^2\frac{dh}{dt}\right)\\\\\frac{dV}{dt}=\frac{1}{3}\pi \left ( 2\times 40\times 2\times 20+40^2\times (-2)\right)\\\\\frac{dV}{dt}=\frac{1}{3}\pi \left (3200-3200\right)=0inch^3/s

Rate of change of volume when the radius is 40 inches and the height is 20 inches = 0 inch³/s

4 0
3 years ago
Can someone help me do these it’s really hard
Elena L [17]

Answer:

40 cubes

Step-by-step explanation:

multiply side lengths or the prism by 2, then solve for volume

2.5 * 2 = 5

2 * 2 = 4

1 * 2 = 2

5 * 4 * 2 = 40

4 0
3 years ago
NOTE: Angles not necessarily drawn to scale.
Dafna11 [192]
Its 157, because 180-23= 157 degrees.
3 0
3 years ago
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