If you have no idea, don't answer please.
1 answer:
Answer:
1) A 2) B 3) C 4) C 5) A 6) B
Step-by-step explanation:
1) Slope is calculated by the change in y over the change in x thus (5-3)/(2-(-1)) = 2/3
2) Since there is no change in y, there is no slope.
3) The change in x is given which is 10-2 so the change in y is y2-3. For the slope to be 3/4 y must equal 6. Therefore y2 is 9.
4) Cosine is adjacent over hypotenuse and Tangent is opposite over adjacent. Given 3/5 as A/H you can construct a right triangle with the adjacent as 3 and hypotenuse as 5. The Pythagorean theorem says the adjacent squared plus the opposite squared is equal to the hypotenuse squared.
3^2 + O^2 = 5^2
O=4
Therefore TanP is 4/3
5) Pythagorean theorem again. Therefore your hypotenuse is equal to
6) Csc is the inverse of the Sin function. So it becomes 5/4.
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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.