Answer:
D) 191
Step-by-step explanation:
The entire circle is 254.5, calculated by using this formula
![A=\pi r^{2} \\](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E%7B2%7D%20%5C%5C)
Only 3/4 of the circle is needed for the area, however, so you multiply your area by 0.75
<u>Answer:</u>
5.65 cm
<u>Step-by-step explanation:</u>
We are given that the length of each leg of an isosceles right triangle is 4 cm and we are to find the length of the hypotenuse.
For this, we will use the Pythagoras Theorem:
![a ^ 2 = b ^ 2 + c ^ 2](https://tex.z-dn.net/?f=%20a%20%5E%202%20%3D%20b%20%5E%202%20%2B%20c%20%5E%202%20)
where
is the hypotenuse.
![a ^ 2 = 4 ^ 2 + 4 ^ 2](https://tex.z-dn.net/?f=%20a%20%5E%202%20%3D%204%20%5E%202%20%2B%204%20%5E%202%20)
![\sqrt { a ^ 2} = \sqrt { 3 2 }](https://tex.z-dn.net/?f=%20%5Csqrt%20%7B%20a%20%5E%202%7D%20%3D%20%5Csqrt%20%7B%203%202%20%7D%20)
![a = 5 . 6 5](https://tex.z-dn.net/?f=%20a%20%3D%205%20.%206%205%20)
Therefore, the length of the hypotenuse is 5.65 cm.
101 is the correct answer for 75+26
Answer:
495 combinations of 4 students can be selected.
Step-by-step explanation:
The order of the students in the sample is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
How many combination of random samples of 4 students can be selected?
4 from a set of 12. So
![C_{n,x} = \frac{12!}{4!(8)!} = 495](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7B12%21%7D%7B4%21%288%29%21%7D%20%3D%20495)
495 combinations of 4 students can be selected.
38= 19+19.................