Here we apply the Pythagorean theorem:
c^2=a^2+b^2
The diagonal of the opening will be:
c^2=3^2+3^2
c^2=9+9
c^2=18
c=3√2 ft
The diagonal of the wood will be:
c^2=4^2+8^2
c^2=16+64
c^2=80
c=4√5 ft
The space will not be enough for the plywood to pass
The third angle is 29 degrees.
180 - 58 - 93 = 29
Answer:
$157.17
Step-by-step explanation:
Interest is the amount of return that someone receive on the amount invested in a bank or in a business. The annual interest rate is defined on the invested amount. The amount invested is called the principal and.
By applying the interest rate on the principal amount, we can calculate the annual interest earning.
Principal = $3,100
Rate of simple interest = 3.38% per year
Now, define the total time period.
Time period = 18 months = 18 / 12 = 1.5 years
Now calculate the Total interest earning.
Interest Earned = $3,100 x 3.38% x 1.5 = $157.17
The worth of the car after it is paid off 5 years later given the rate of exponential depreciation is $32,842.34.
<h3>What is the worth of the car?</h3>
When the car declines in value, it means that the car is depreciating. The formula that can be used to determine the value of the car with the depreciationn rate is:
FV = P (1 - r)^n
- FV = Future value
- P = Present value
- R = rate of decline
- N = number of years
$42,000 x (1 - 0.048)^5 = $32,842.34
To learn more about future value, please check: brainly.com/question/18760477
Answer:
g^5h^2
Step-by-step explanation:
12g^5h^4, g^5h^2
This is one way of doing it. Break down every number and every variable into a product of the simplest factors. Then see how many of each factor appear in both monomials.
12g^5h^4 = 2 * 2 * 3 * g * g * g * g * g * h * h * h * h
g^5h^2 = g * g * g * g * g * h * h
So far you see every single prime factor of each monomial.
Now I will mark the ones that are present in both. Those are the common factors.
12g^5h^4 = 2 * 2 * 3 * g * g * g * g * g * h * h * h * h
g^5h^2 = g * g * g * g * g * h * h
The greatest common factor is the product of all the factors that appear in both monomials.
GCF = g * g * g * g * g * h * h = g^5h^2
