6.2 seconds the height, h, in feet of an object above the ground is given by h = −16t2 + 64t + 160, where t is the time in seconds. how long does it take the object to hit the ground? (to the nearest tenth of a second)

a)
5.1 seconds

b)
5.3 seconds

c)
5.7 seconds

d)
6.2 seconds

ANSWER

C) 5.7 seconds

EXPLANATION

The height of the object is given by:

If the object hit the ground, then the height is zero.

Divide through by -16

Where a=1, b=-4 and c=-10

We substitute into the quadratic formula to obtain,

t=2-√14 or t=2+√14

Time cannot be negative.

Hence, t=5.7 seconds to the nearest tenth.

whatever you can spend with $11.53 or under.

step-by-step explanation:

20 - 8.47 = 11.53. take away the money he used for lunch from the starting amount of 20.

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.