100%/x%=60/18
<span>(100/x)*x=(60/18)*x </span>
<span>100=3.33333333333*x </span>(3.33333333333)
<span>100/3.33333333333=x </span>
<span>30=x </span>
x=30
<span>now we have: </span>
<span>18 is 30% of 60</span>
Answer:
c
Step-by-step explanation:
We are integrating f(x) = 9cos(9x) + 3x²: 
a) Apply the sum rule
b) Calculate each antiderivative
<u>First integral</u>
1. Take out the constant
2. Apply u-substitution, where u is 9x
3. Take out the constant (again)
4. Take the common integral of cos, which is sin
5. Substitute the original function back in for u and simplify
6. Always remember to add an arbitrary constant, C, at the end
<u>Second integral</u>
1. Take out the constant
2. Apply the power rule, 
, where <em>a</em> is your exponent
⇒ 
3. Add the arbitrary constant
c) Add the integrals
sin(9x) + C + x³ + C = sin(9x) + x³ + C
Notice the two arbitrary constants. Since we do not know what either constant is, we can combine them into one arbitrary constant.
<h3>
Answer:</h3>
F(x) = sin(9x) + x³ + C
Answer:
Below.
Step-by-step explanation:
a. Volume = area of triangular side * length
1/2 * 3 * 4 * 8
= 48 cm^3.
Surface area = 2 * area of the triangle + area of sloping side+ area of the base + area of the back side
= 2 * 1/2 * 3*4 + 5*8 + 3*8 + 4*8
= 12 + 40 + 24 + 32
= 108 cm^2.
b. Volume = area of the triangular side * length
= 1/2 * 5.0 * 5..0 * 8.2
= 12.5 * 8.2
= 102.5. cm^3.
Surface area = 2 * area of the triangle + 2 * area of a sloping side + area of the basee
= 2 * 1/2 * 5^2 + 2 * 5 * 8.2 + 8.2 * 7.1
= 25 + 82 + 58.22
= 165.22 cm^2.
Answer:
8 2/5 inches!
Step-by-step explanation:
The lighthouse is 120 feet, and 4 inches of height on the model equals 50 feet of height on the lighthouse. 100 divided by 50 = 2, and 4 multiplied by 2 is 8. 20 divided by 50 = 2/5, so the answer is 8 2/5 inches. :)
