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Katarina [22]
3 years ago
8

Need Help with this question

Mathematics
1 answer:
Fantom [35]3 years ago
3 0
82
The sum of the three angles is 180. One is given and the other we can figure out because it forms a straight line (180) with the angle to the left outside. The outside angle is 117, so 180-117 is 63.
So then add up the 3 angles in the triangle
63+35+y=180
y= 82
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A spherical balloon is being inflated at a rate of 3 cubic inches per second. Determine the change in the rate of the radius.How
Novay_Z [31]

Answer:

The rate rate of change of radius is \frac{1}{48\pi} inches per second when the diameter is 12 inches.

The radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Consider the provided information.

A spherical balloon is being inflated at a rate of 3 cubic inches per second.

The volume of sphere is V=\frac{4}{3}\pi r^3

Differentiate the above formula with respect to time.

\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}

Substitute the respective values in the above formula,

3=4\pi 6^2\frac{dr}{dt}

\frac{1}{48\pi}=\frac{dr}{dt}

The rate rate of change of radius is \frac{1}{48\pi} inches per second when the diameter is 12 inches.

When d=16

3=4\pi 8^2\frac{dr}{dt}

\frac{3}{256\pi}=\frac{dr}{dt}

Thus, the radius is changing more rapidly when the diameter is 12 inches.

5 0
3 years ago
On Monday, three hundred ninety - two students went on a trip to the zoo. All nine buses were filled and five students had to tr
Vikki [24]
The answer to your question is 43
5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B48x%7D%5E%7B4%7D%20" id="TexFormula1" title=" \sqrt[4]{48x}^{4} " alt=" \s
alex41 [277]

Answer:

48x

Step-by-step explanation:

(\sqrt[4]{48x} )^{4} = \sqrt[4]{(48x)^{4} } = 48x

7 0
3 years ago
A number n plus 8 is greater than 11.
Bumek [7]
N+8>11 is the answer you are looking for 

8 0
4 years ago
Pls help! will give brainlist!
igomit [66]
The answer is: A

A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144°
8 0
3 years ago
Read 2 more answers
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