ANSWER:
7 x 6 - 4
Hope it helps u!
Answer:
288 in²
Step-by-step explanation:
The formula used to solve this question is :
Lateral Surface Area = s( P1 + P2)
Where s = slant height = 2 inches
P1 and P2 = Perimeter of the bases
Perimeter of base 1 = 4 × length of the end of the small square
4 × 17 inches = 68 inches
Perimeter of base 2 = 4 × length of the end of the large square
4 × 19 inches = 76 inches
Lateral Surface Area = 2 × (68 + 76)
= 2 × 144
= 288 in²
Since the intersection is - by definition - common to both sets, we can work out the number of people that use only the fitness suite or the swimming pool.
We know that 57 people use the fitness suite, but 36 of those are already counted in the intersection. So, 57-36=21 people use only the fitness suite.
The same goes for the swimming pool: 49-36=13 people use only the swimming pool.
So, we have:
- 21 people using fitness suite only
- 13 people using swimmng pool only
- 36 people using both
This sums to 21+13+36=70 people. We deduce that 30 people don't use any of the features.
Answer:
Mila had $48 initially
Step-by-step explanation:
Let the amount of money they had be x
Mila spent $42; what is left would be x-42
Samuel spent $36: what is left would be x-36
So, what Mila had left is half of what Samuel has; that would be;
x-42 = 1/2(x-36)
2(x-42) = x -36
2x-84 = x -36
2x - x = 84 -36
x = $48
Answer: 41 degrees
Step-by-step explanation:
so, we know that a triangle is 180 degrees. since we know that one angle is 80 degrees, we can subtract that from the equation. now, we are trying to find what X is so that we can find the angle. here is how i did it:
i rewrote it and removed the parentheses.
4x + 1 + 4x + 19 = 100
then, i collected like terms and calculated it.
8x + 20 = 100
then, i moved the constant to the right.
8x = 100 - 20
then, i simply calculated it.
8x = 10
solution: x = 10
so, we just insert X into the angle for A. that gets us 4(10) + 1 = angle A
40 + 1 = angle A, hence angle A = 41 degrees.
