Answer:
750 students are boys, 250 are girls.
Step-by-step explanation:
1/4 of 1000 is 250.
250 + 250 + 250 = 750 boys.
if 3/4 are boys, then 1/4 (the rest of the school population) are girls.
150 students are girls.
Answer:
2√2
Step-by-step explanation:
The area ratio is the square of the side length ratio, so the ratio of side lengths is √2.
The volume ratio is the cube of the side length ratio, so the new cube has a volume that is (√2)³ times that of the original.
The volume ratio is 2√2.
Answer:
Step-by-step explanation:
Please find the attachment.
We have been given that area of triangle ABC is 3√2 square inches.
We know that area of triangle an be found using trigonometry as:
Now, we will use inverse sine to find the value of angle A as:
Therefore, the measure of angle A is approximately 28 degrees.
Answer:
Derivative: P’(x) = 200 - 2x
If P’(x) = 0 , x = 100
Therefore P’ is positive and P increases until x = 100
So the maximum units to maximize profits is 100 units
And for 100 units the profit in dollar is:
20000 - 10000 = 10000
10000 dollars
The two congruent base angles tell us that this is an isosceles triangle, meaning the triangle has two congruent sides. Therefore, we can set these two expressions equal to each other and solve from there.
15x + 7 = 23x - 17
7 = 8x - 17
8x = 24
x = 3
Side = 15(3) + 7 = 45 + 7 = 52
Hope this helps!
