Answer:
432 in.^2
Step-by-step explanation:
The side of the suitcase is a rectangle. One length is 24 inches. The diagonal of the rectangle is 30 inches long. The diagonal is a hypotenuse of a right triangle. The length is a leg. We need to find the other leg.
We use the Pythagorean theorem,
a^2 + b^2 = c^2
(24 in.)^2 + b^2 = (30 in.)^2
576 in.^2 + b^2 = 900 in.^2
b^2 = 324 in.^2
b = sqrt(324 in^2)
b = 18 in
area of rectangle = length * width
A = 24 in. * 18 in.
A = 432 in.^2
You sold 43 adult tickets
Answer:30=-34
Step-by-step explanation:
First you distribute so 2×X is 2X
2×8 is 16 then you do the other side but you put a one in front of the- so it goes 1 times 3x is 3x and you turn the minus into a plus sign and turn the positive 34 into a negative 34 so -34× 1 is -34 then write that out to look like 14-2X+16= 5X -3X + -34 then you add or subtract the commons which is 14+16= 30 and 5X-3X=2X so now your equation is 30-2x=2X+(-34) then you want to get your X on the same side so you subtract 2X from the right side and the left side then your left 30=-34
Answer:
Slope: -2
y-intercept: -3 or (0, -3)
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
6x+3y= -9
3y = -6x - 9
y = -2x - 3
North American : South American : European
9 : 5 : 2
Multiply all by 10
90 : 50 : 20
The answer is 50 South American butterflies.