Answer:
OPTION C: Sin C - Cos C = s - r
Step-by-step explanation:
ABC is a right angled triangle. ∠A = 90°, from the figure.
Therefore, BC = hypotenuse, say h
Now, we find the length of AB and AC.
We know that: 
and 
Given, Sin B = r and Cos B = s
⇒ 
⇒ 
Hence, the length of the side AC = rh
Now, to compute the length of AB, we use Cos B.
⇒ 
Hence, the length of the side AB = sh
Now, we are asked to compute Sin C - Cos C.
⇒ 
= s
Sin C = s
⇒ Cos C = 
Therefore, Cos C = r
So, Sin C - Cos C = s - r, which is OPTION C and is the right answer.
The correct answer would be Choice B: 4 square units.
When the scale factor is 1/5, that means the lengths of the sides are 1/5 of the original size. So instead of having a base of 20 and height of 10, the new triangle has a base of 4 and a height of 2.
The area of the triangle is: (4 x 2) / 2 = 4
The greatest whole number that rounds to 2,500 is 2,549. The least whole number that rounds to 2,500 is 2,450.
Answer:
b. We have very strong evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is smaller with the anchor of Green Bay than with the anchor of Chicago.
Step-by-step explanation:
Smaller p-value indicates a strong evidence in favor of the alternative hypothesis which means we can reject the null hypothesis. In the given scenario the p-value is 0.0001 which is very small. There is sufficient evidence for the rejection of null hypothesis.
Total 175 students.
102 students go to movies at least twice a week and 73 students either go 1 times or not going to the movies.
So
Students go 0-1 times per week = 73/175 = 0.4172 = 41.71%
Answer: last option
41.71%
