Answer:
16.4 feet.
Step-by-step explanation:
We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle 
, is 1.42. We are asked to find the length of the side opposite angle .
We can represent our given information in an equation as:
Now, we will use arctan to solve for theta as:
Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.
Therefore, the opposite side to angle theta is 16.4 feet.
Answer:
Step-by-step explanation:
There isn't one. The first term is x^4.
The other two are stated in terms of k. There is nothing common here.
You can do 2 of the three. Terms 2 and 3 have a common factor of 4k, so what you can get is
x^4 - 4k(k^2 - 1)
Subtract the payment from the previous balance:
4236.87 - 3200 = 1036.87
Now add his total purchases:
1036.87 + 989.42 = 2026.29
This is the total amount he owes, now subtract that from his credit line:
8500 - 2026.29 = 6473.71
His available credit is $6,473.71
Answer:
a) 36
b) 20
c) 6
Step-by-step explanation:
Given Formula:
(b x h)
Steps for A:
(12 x 6)
12 x 6 = 72
72 ÷ 2 = 36
Steps for B:
(10 x 4)
10 x 4 = 40
40 ÷ 2 = 20
Steps for C:
(3 x 4)
3 x 4 = 12
12 ÷ 2 = 6
