Answer:
b=20
c=160
Step-by-step explanation:
b has the same measurement as the other angle that is across from it. c is 160 because the line that c is on is a straight line so it is 180 degrees, you subtract the other angle on the line,20, then you get the answer.
Answer: C
Step-by-step explanation:
(fog)(3) is the same as finding f(g(3)). To solve, we first need to solve g(3). then, we solve for f(g(3)).
g(3)=5(3) [multiply]
g(3)=15
Now, we plug in 15 into f(x).
f(g(3))=-2(15)+8 [multiply]
f(g(3))=-30+8 [add]
f(g(3))=-22
Now, we know that C is the correct answer.
Answer:
the fraction of surface that is not covered is 11/36
Step-by-step explanation:
To do this we first have to calculate the two surfaces
s = π * r^2
π = 3.14
r = d/2
d1 = 20
d2 = 24
r1 = 20/2
r1 = 10
r2 = 24/2
r2 = 12
s1 = π * r1^2
s1 = 3.14 * 10^2
s1 = 3.14 * 100
s1 = 314
s2 = π * r2^2
s2 = 3.14 * 12^2
s2 = 3.14 * 144
s2 = 452.16
to know the part that is not covered we simply do the s1 over the s2 and we subtract that from 1
s1 / s2 =
314 / 452.16 =
25/36
1 we subtract this
1 - 25/36 = 11/36
the fraction of surface that is not covered is 11/36
Prime numbers below 30: 1, 3, 5, 7, 11, 13, 17, 19, 23, 29
2 prime numbers that sum up to 30:
1 and 29
7 and 23
13 and 17
The greatest possible product will be 13 x 17 = 221
Answer: The two prime numbers are 13 and 17
The parent function of
is
The diagrams below show step by step transformation
As we can see from the graph
, the amplitude of the function is 3, period of
, phase shift of π and midline y=2
