<h3>
Answer: 133</h3>
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Explanation:
The quickest way to get this answer is to add the angles given to get 87+46 = 133
This is through the use of the remote interior angle theorem.
Note how the angles 87 and 46 are interior, or inside the triangle. And also, they are not adjacent to the exterior angle we want to find. So that's where the "remote" portion comes in.
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The slightly longer method involves letting x be the measure of the missing interior angle of the triangle.
The three interior angles add to 180
87+46+x = 180
133+x = 180
x = 180 - 133
x = 47
The missing interior angle of the triangle is 47 degrees.
Angle 1 is adjacent and supplementary to this 47 degree angle, so,
(angle1)+(47) = 180
angle1 = 180-47
angle1 = 133 degrees
This example helps confirm that the remote interior angle theorem is correct.
yards, there are 3 feet per yard
Answer:
0.0221 feet per minute.
Step-by-step explanation:

If the Base Diameter = Height of the Cone
The radius of the Cone = h/2
Therefore,

Rate of Change of the Volume, 
Since gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. Therefore, the Volume of the cone is increasing at a rate of 10 cubic feet per minute.

We want to determine how fast is the height of the pile is increasing when the pile is 24 feet high.
We have:

When the pile is 24 feet high, the height of the pile is increasing at a rate of 0.0221 feet per minute.
Answer: 4/3, or 1.333333333333333
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation: