Let the height of Chris be represented by $h(t) = -16\cdot t^{2}+12\cdot t +10$ , where $h(t)$ is the height in feet and $t$ , the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:

$-16\cdot t^{2}+12\cdot t +10 = 10$

$-16\cdot t^{2}+12\cdot t = 0$

Then, we simplify the expression by algebraic means:

$-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0$

Roots of the polynomial are, respectively:

$t = 0\,s\,\lor \,t = 0.75\,s$

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.

5 0

3 years ago

The circumference of a circle is 25.12cm. What is the area of the circle? Use 3.14

malfutka [58]

C=2pir
area=pir^2

given
c=25.12
25.12=2pir
pi=3.14
25.12=2(3.14)r
25.12=6.28r
divide both sides by 6.25
4=r

sub into other
area=pir^2
area=pi4^2
area=16pi
area=16(3.14)
area=50.24

the area is 50.24 square cm

3 0

3 years ago

What is the area of the entire shape if the red trapezoid has an area of 1 square inch?

mr Goodwill [35]

It would be 1 square inch. You can't make a trapezoid cause if you tried to it would turn into a square.

5 0

3 years ago

Write the 10y1/2 in radical form

arsen [322]

It would just be the square root of 10y

so 10y under a radical. Assuming the y is to the power of 1/2

6 0

3 years ago