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3 years ago

The midpoint of \overline{\text{AB}}

1 answer:

8 0

The US stated that the intent was to remove "a regime that developed and used weapons of mass destruction, that harbored and supported terrorists, committed outrageous human rights abuses, and defied the just demands. yuhh

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A right circular cone is undergoing a transformation in such a way that the radius of the cone is increasing at a rate of 1/2 in

Ivenika [448]

Answer:

The volume is decreasing at the rate of 1.396 cubic inches per minute

Step-by-step explanation:

Given

Shape: Cone

$\frac{dr}{dt} =\frac{1}{2}$ --- rate of the radius

$\frac{dh}{dt} =-\frac{1}{3}$ --- rate of the height

$r = 2$

$h = \frac{1}{3}$

Required

Determine the rate of change of the cone volume

The volume of a cone is:

$V = \frac{\pi}{3}r^2h$

Differentiate with respect to time (t)

$\frac{dV}{dt} = \frac{\pi}{3}(2rh \frac{dr}{dt} + r^2 \frac{dh}{dt})$

Substitute values for the known variables

$\frac{dV}{dt} = \frac{\pi}{3}(2*2*\frac{1}{3}* \frac{1}{2} - 2^2 *\frac{1}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}* \frac{1}{2} - \frac{4}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}(\frac{1}{2} - 1))$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}*- 1)$

$\frac{dV}{dt} = -\frac{\pi}{3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{7*3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{21}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{88}{63}$

$\frac{dV}{dt} =-1.396in^3/min$

The volume is decreasing at the rate of 1.396 cubic inches per minute

3 0

3 years ago

Which is a good comparison of the estimated sum and the actual sum of 7 10/12+2 11/12

notka56 [123]

The answer will be 9 1/12 because if you add them up you get 11/12. So the mixed number would be 9 1/12

5 0

3 years ago

SOLVING QUADRATIC EQUATIONS BY SQUARE ROOT<br> 9p^2-6=642

Aleksandr [31]

9p^2 - 6 = 642; / + 6 ;
9p^2 = 648; / ÷9 ;
p^2 = 72 ;
p = + $\sqrt{72} or - \sqrt{72}$ ;
Finally, p = +6 $\sqrt{2}$ or p = -6 $\sqrt{2} .$

7 0

3 years ago

Read 2 more answers

Ruguru wants to rent a car for 3 days. The cost, C, in dollars, for the rental is shown in the box, where d

olga nikolaevna [1]

Answer:

A: $15

Step-by-step explanation:

35·3=105

105+25=135

135-115=15

Hoped this helps!

3 0

1 year ago

Read 2 more answers

A figure with parallel lines m and n is shown. What is the measure, in degrees, of angle b?

Radda [10]

Answer:

48°

Step-by-step explanation:

Not sure if you've learner this yet, but the two angles shown are called alternate exterior angles. To make it a little bit easier, 48° has to be the answer since it's the only other angle shown. But to explain it more..

There's corresponding and vertical angles which can be used to solve this equation. There are four spots that would equal 48°, including "b". Corresponding angles are in the same spot, but different sections. There's also vertical angles, which are right across from each other. If you apply vertical and corresponding angles b will be 48°.

Please let me know if you don't really understand what I attempted to explain. If you haven't gone into depths about what I talked about, just think about the first paragraph/section.

3 0

3 years ago