Let x be the angle. The complement is 3x + 10. The sum of two complementary angles is 90. So,
x + 3x + 10 = 90
4x + 10 = 90
4x = 80
x = 20
Plug x into the complement
3(20) + 10 = 70
The angle is 20 degrees and the complement is 70 degrees
Answer:
j=42
Step-by-step explanation:
since it's 7x larger you just have to multiple 6 by 7 to find j
Diameter is 2 times the radius. Radius is 6.
Circumference is 2(pi)(radius)
Circumference is approximately 37.7cm
Answer:
26%
Step-by-step explanation:
Your 36 monthly payments will total ...
36 × $205.10 = $7383.60
$5860 of that is the amount you borrowed. The remainder is the interest you pay:
$7383.60 -5860 = $1,523.60
As a percentage of the original loan amount this is ...
$1523.60/$5860 × 100% = 26%
You pay back 26% of the original loan amount in interest.
A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data between 4.2 and 5.1.
Answer: The correct option is B) about 34%
Proof:
We have to find 
To find
, we need to use z score formula:
When x = 4.2, we have:


When x = 5.1, we have:


Therefore, we have to find 
Using the standard normal table, we have:
= 

or 34.13%
= 34% approximately
Therefore, the percent of data between 4.2 and 5.1 is about 34%