Answer:
first one is 7
Step-by-step explanation:
Step-by-step explanation:
f(x) = -4x^2+24x-29
= -4(x^2-6x)-29
= -4(x-3)^2 -4(-9) -29
= -4(x-3)^2 +36-29
= -4(x-3)^2 +7
maximum height = 7m
Use the Pythagorean Theorem to solve for the third side. The third side must be the hypotenuse since the height (vertical leg) is 9, and the length (horizontal leg) is 5.
a² + b² = c², where a and b are the legs and c is the hypotenuse. Plug in 5 and 9 for a and b; solve for c.
5² + 9² = c² ⇒ 25 + 81 = c²
106 = c²
Square root both sides.
c = 10.3
Third side: 10.3
nswer:
209.8
Step-by-step explanation:
the bottom is = 11 * 5
two of the sides are 11 * 9.3 / 2 because they are triangles, and then times 2 because there are two of them
the other two sides are 10.5 * 5 / 2 , and the * 2 because there are two of them again.
(11 * 5) + (11 * 9.3 * 2 / 2) + (10.5 * 5 * 2 / 2) =209.8
35.6 minutes
S = v*t = 8 * 40/60 = 16/3 m
=> t = s/v = 16/(3*9) = 35.555555 minutes
