Answer:
75
Step-by-step explanation:
The measure of two supplementary angles = 15:21
The angles are 15x , 21x
15x + 21x = 180 {Supplementary}
36x = 180
x = 180/36
x = 5
Smallest angle = 15 * 5 = 75
Answer:
2.1
Step-by-step explanation:
This involves trigonometry. Since we need to find the value of a, we need to find a trig equation with a as the numerator. Luckily, we have one, tan. So, tan(20) is equal to a/6, right. So, using a calculator, tan(20) is approximately equal to 0.363. This times 6 should equal a. This is approximately around 2.1. Thus our answer is 2.1
Answer: C) 127, 152.4, 182.88, 219.456,...
Step-by-step explanation:
You can only find the sum of an infinite geometric sequence if it converges.
One criterion to see if the series converges is if:
aₙ < aₙ₋₁
This means that, as n increases, the value of the terms decreases.
This means that as n tends to infinity, aₙ tends to zero.
Then we only can find the sum of those series where the terms are decreasing.
in A, B and D the terms are decreasing, then we can find the sum of those 3 series.
Now in the case of C, the terms are increasing, then we can not find the sum of that series.
Answer:
Option D: 6:12 is correct answer.
Step-by-step explanation:
We can find the simplest form of ratio to compare it with the given ratios.
According to given statement,
The ratio is:
Now we will check if the given options can be simplified to 1:2
So,
Option A:
Option B:
Option C:
Option D:
As we can see that 6:12 can be simplified to 1:2 which is same as 2:4 so it will make the same shade of purple.
Hence,
Option D: 6:12 is correct answer.
Answer:
B
Step-by-step explanation:
Binomials are expressions containing the sum (or difference) of two terms.
A. is not the answer because pq and qp are <u>products</u>.
C. is not the answer because 3x is not a sum/difference.
D. is not the answer because it is one binomial, not two muliplied together.
