Answer:
1/4
Step-by-step explanation:
The common ratio in a geometric sequence is the number you multiply to previous term to get the term after.
Dividing by a number is the same as multiplying by that 1/number.
So the common ratio here is 1/4.
This is a geometric sequence since you are able to find all the terms in this sequence by multiplying 1/4 to it's previous term.
Examples:
160(1/4)=40
40(1/4)=10
10(1/4)=10/4=2.5
2.5(1/4)=2.5/4=0.625.
9514 1404 393
Answer:
sin(θ) ≈ -0.92
cos(θ) ≈ 0.38
tan(θ) = -2.40
Step-by-step explanation:
Let r represent the distance of the point from the origin. The Pythagorean theorem tells us ...
r² = (5)² + (-12)²
r² = 169
r = √169 = 13
The trig relations for a point on the terminal ray are ...
(x, y) = (r·cos(θ), r·sin(θ))
Then ...
sin(θ) = y/r = -12/13 ≈ -0.92
cos(θ) = x/r = 5/13 ≈ 0.38
tan(θ) = y/x = -12/5 = -2.40
Answer:
21
Step-by-step explanation:
21
Answer:
E. 5
Step-by-step explanation:
Let's rewrite the equation in the form of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
2x + y = 5
y = -2x+5
M, the slope, is -2
<u>5, b, is the y-intercept</u>
See attached graph.
Answer:
The ratio of female-to-male is 1:2
Step-by-step explanation:
There are 10 female students and 20 male students. If we were to divide each number by 10, we would get 1 and 2, respectively. That means for every 1 female student, there are 2 male students. The ratio would then be 1:2.
