Using the law of cosine:
Cosine(angle) = Adjacent leg / Hypotenuse
You are given the angle, and the adjacent leg and need to solve for X, which is the hypotenuse.
Using the formula above you have:
Cosine(58) = 17 / x
Solve for x by dividing 17 by cos(58)
x = 17 / cos(58)
x = 32.08
Answer:
( 41° * π * radius) / 180
Step-by-step explanation:
The arc measure of major arc ABC on circle P is
( 41° * π * radius) / 180 degrees.
For instance if P = 5 then see the picture, the Arc Length = 3.58
Answer:
42 and 44
Step-by-step explanation:
The even numbers are numbers which can be written as 2n where n is any integer number.
Therefore, two consecutive numbers would be "2n" and "2n + 2"
We then have that
2n + (2n+2) = 86
4n + 2 = 86
4n = 84
n = 21
And the even number 2n is 2(21) = 42.
(We can verify this answer by doing 42 + 44 = 86)
Answer:
D. N(a) = (a + 20)/3
Step-by-step explanation:
A(n) = 3n - 20
A is a function of n. The inverse will be: N is a function of a.
Change A(n) to y and n to x.
y = 3x - 20
Switch x and y.
x = 3y - 20
Solve for y.
x + 20 = 3y
3y = x + 20
y = (x + 20)/3
Now switch y to N(a) and x to a.
Answer: N(a) = (a + 20)/3
