The triangle is not a right angle
AC = 22 - 8 - 5 = 9
AC² = AB² + BC²
81 = 64 + 25
81 isn't equal to 89, the triangle is not a right angle
Answer:
302
Step-by-step explanation:
7 goes into 21 3 times, so the first digit of the quotient is 3. There's no remainder. Bringing down the second "1," we find this indivisible by 7, and so bring down the 6.Thus, Remember that 7 goes into 14 2 times. Thus, a good estimate would be 302.
(2x2x2)(2x2)
=2x2x2x2x2
=2x2x2x2x2
=32
Answer:
--- small circle
--- big circle
Step-by-step explanation:
Given
-- sum of areas
Required
The radius of the larger circle
Area is calculated as;
For the smaller circle, we have:
For the big, we have
The sum of both is:
Substitute:
Substitute
Factorize
![80\pi = \pi[ r^2 + 4r^2]](https://tex.z-dn.net/?f=80%5Cpi%20%3D%20%5Cpi%5B%20r%5E2%20%2B%204r%5E2%5D)
![80\pi = \pi[ 5r^2]](https://tex.z-dn.net/?f=80%5Cpi%20%3D%20%5Cpi%5B%205r%5E2%5D)
Divide both sides by 
Divide both sides by 5
Take square roots of both sides
The radius of the larger circle is:
Answer:
1. T test for independent means
2. T test for dependent means
3. T test for dependent means
Step-by-step explanation:
In number 1, the two groups are unrelated. The first group has 25 subjects and they're all unemployed. The second group has 24 subjects and their employment status is not stated and might not be the same all through. Also, the first group is receiving a new type of job skills program while the second group is taking the standard job skills program.
- The groups in the experiment are unrelated
- The tests in the research are unrelated
- The purpose of the research is unreasonable - the researcher seeks to measure how well all 49 subjects perform on 'a' job skills test! No comparison between the scores or mean scores of the two groups.
In number 2, the researcher uses the same subjects and also measures the same variable but twice. This is a good example of a study where the t test for dependent means can be taken. Same applies in case 3.
