Answer:
20π or 62.8
Step-by-step explanation:
Volume of a cone = 1/3πr²h
1/3(π)(2)²9
= 12π or 37.7
Volume of a hemisphere = 2πr²/3
2(π)(2)²
= 8π or 25.1
Total Volume = 20π or 62.8
Answer:
10(3)^x
Step-by-step explanation:
The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:
90=ab^2 and 810=ab^4
Solve each equation for a:
a=90/b^2 and a=810/b^4
Since a=a, set the other sides of the equations equal and solve for b.
90/b2=810/b4
Cross multiply, then divide and simplify as follows:
90b^4=810b^2
b^4/b^2=810/90
b^2=90
b^3
Now, use the value of b and the point (2,90) to find the value of a.
90=a(3^2)
a=10
So, substitute answers in original equation for a final answer of f(x)=10(3)^x.
The double angle formula for the sine is
The right hand side is exactly your expression, where 
So, rewriting the expression from right to left, we have
Example P: I do my homework
P: I get my allowance
Answer:
Mrs. Cook has to grade 63 tests.
Step-by-step explanation:
In order to find the answer, first you have to calculate 80% of the number of tests Ms. Morris has:
35*80%= 28
Then, you have to add the number that represents 80% to the number of tests Ms. Morris has to grade:
35+28=63
According to this, the answer is that Mrs. Cook has to grade 63 tests.
