Using the formula given for area:
Area = 1/2 (7 +5)4 = 1/2(12)4 = 24 square cm.
Now to find the volume multiply the area by the depth:
24 x 6 = 144 cubic cm.
Answer:
C = 5.
Step-by-step explanation:
First, you need to remember that:
For the function:
h(x) = Sinh(k*x)
We have:
h'(x) = k*Cosh(k*x)
and for the Cosh function:
g(x) = Cosh(k*x)
g'(x) = k*Cosh(k*x).
Now let's go to our problem:
We have f(x) = A*cosh(C*x) + B*Sinh(C*x)
We want to find the value of C such that:
f''(x) = 25*f(x)
So let's derive f(x):
f'(x) = A*C*Sinh(C*x) + B*C*Cosh(C*x)
and again:
f''(x) = A*C*C*Cosh(C*x) + B*C*C*Sinh(C*x)
f''(x) = C^2*(A*cosh(C*x) + B*Sinh(C*x)) = C^2*f(x)
And we wanted to get:
f''(x) = 25*f(x) = C^2*f(x)
then:
25 = C^2
√25 = C
And because we know that C > 0, we take the positive solution of the square root, then:
C = 5
Answer:
Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.
Step-by-step explanation:
Given that Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole, while Olga uses 5/6 of a dozen eggs to make scrambled eggs, the following calculations must be performed to determine who uses more eggs:
Sonja = 8/12 = 0.666 x 12 = 8
Olga = 5/6 = 0.83333 x 12 = 10
Therefore, Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.
Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Applying log both sides
applying property of logarithms
![t=log(11,600/5,200)/[(4)log(1.0215)]](https://tex.z-dn.net/?f=t%3Dlog%2811%2C600%2F5%2C200%29%2F%5B%284%29log%281.0215%29%5D)
If the total is 360 degrees then it will take 50 degrees each side. If the total is 180 degrees it would be 30 degrees each side
