Need ! on 2 math questions the height in feet of a ball dropped from a 150 ft. building is given by h(t) = –16t2 + 150, where t is the time in seconds after the ball is dropped. find h(2) and interpret its meaning. round your answer to the nearest hundredth. a. h(2) = 86.00 means that after 2 seconds, the height of the ball is 86.00 ft. b. h(2) = 3.04 means that after 2 seconds, the height of the ball has dropped by 3.04 ft. c. h(2) = 3.04 means that after 2 seconds, the height of the ball is 3.04 ft. d. h(2) = 86.00 means that after 2 seconds, the height of the ball has dropped by 86.00 ft.15. the perimeter of a triangle is 69 cm. the measure of the shortest side is 5 cm less than the middle side. the measure of the longest side is 5 cm less than the sum of the other two sides. find the lengths of the sides. a. 16 cm; 21 cm; 32 cm b. 15 cm; 21 cm; 33 cm c. 15 cm; 22 cm; 32 cm d. 17 cm; 21 cm; 31 cm

Part 1) Option A. h(2) = 86.00 means that after 2 seconds, the height of the ball is 86.00 ft.

Part 2) Option  A. 16 cm; 21 cm; 32 cm

Step-by-step explanation:

Part 1)

we have

where

t ----> is the time in seconds after the ball is dropped

h(t) ----> he height in feet of a ball dropped from a 150 ft

Find h(2)

That means ----> Is the height of the ball  2 seconds after the ball is dropped

Substitute the value of t=2 sec in the equation

therefore

After 2 seconds, the height of the ball is 86.00 ft.

Part 2) The perimeter of a triangle is 69 cm. The measure of the shortest side is 5 cm less than the middle side. The measure of the longest side is 5 cm less than the sum of the other two sides. Find the lengths of the sides

Let

x----> the measure of the shortest side

y ----> the measure of the  middle side

z-----> the measure of the longest side

we know that

The perimeter of the triangle is equal to

P=x+y+z

P=69 cm

so

69=x+y+z -----> equation A

x=y-5 ----> equation B

z=(x+y)-5 ----> equation C

substitute equation B in equation C

z=(y-5+y)-5

z=2y-10 -----> equation D

substitute equation B and equation D in equation A and solve for y

69=(y-5)+y+2y-10

69=4y-15

4y=69+15

4y=84

y=21 cm

Find the value of x

x=21-5=16 cm

Find the value of z

z=2(21)-10=32 cm

The lengths of the sides are 16 cm, 21 cm and 32 cm

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: