If two sides of a right triangle are x and y, the hypotenuse, h is:
h^2=x^2+y^2, in this case x and y are 39 and 52 respectively so:
h^2=39^2+52^2
h^2=1521+2704
h^2=4225
h=√4225
h=65 in
So the hypotenuse is 65 inches.
First lets see the pythagorean identities
So if we have to solve for sin theta , first we move cos theta to left side and then take square root to both sides, that is
Now we need to check the sign of sin theta
First we have to remember the sign of sin, cos , tan in the quadrants. In first quadrant , all are positive. In second quadrant, only sin and cosine are positive. In third quadrant , only tan and cot are positive and in the last quadrant , only cos and sec are positive.
So if theta is in second quadrant, then we have to positive sign but if theta is in third or fourth quadrant, then we have to use negative sign .
Answer:
The value of f(2) would be -40.
Step-by-step explanation:
Given function is,
Substituting x = 2 in the above function,
We get,
Hence, the value of f(2) would be -40.
Answer:
Sherry's Method of depositing $200 as a principal now with an interest at 4% compound at monthly will result in more money after two years.
Step-by-step explanation:
We use the Total Amount generated using compound interest formula to solve this question
Formula =
Total Amount(A) = P(1 + r/n)^nt
a) For Harrison
Principal = $200
Interest rate = 2% = 0.02
Time = 2 years
n = compounding quarterly = 4
A = P(1 + r/n)^nt
A = $2,000(1 + 0.02/4)^2×4
A = $2,000(0.005)^8
A = $ 2081.4140878
A = $ 2,081.41
b) For Sherry
Principal = $200
Interest rate = 4% = 0.04
Time = 2 years
n = compounding monthly = 4
A = P(1 + r/n)^nt
A = $2,000(1 + 0.04/12)^2×12
A = $2166.2859184
A = $ 2,166.29
The Total Amount for
Harrison = $ 2,081.41
Sherry = $ 2,166.29
Hence, from the above calculation, Sherry's Method of depositing $200 as a principal now with an interest at 4% compound at monthly will result in more money after two years.
