Answer:
Chris will take 0.75 seconds to return to his starting height of 10 feet.
Step-by-step explanation:
Let the height of Chris be represented by
, where
is the height in feet and
, the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:


Then, we simplify the expression by algebraic means:

Roots of the polynomial are, respectively:

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.
Answer:
5.5 yards.
Step-by-step explanation:
We have been given that Mimi needs eleven 18-inch pieces of rhinestone ribbon. She purchased 5 yards of the ribbon. We are asked to find the total amount of ribbon that Mimi needs.
First of all, we will multiply 11 by 18 to find amount of ribbon needed in inches as:


We know that 1 yard equal to 36 inches. To convert 198 inches into yards, we will divide 198 by 36 as:



Therefore, the total amount of ribbon that Mimi needs is 5.5 yards.
Answer:
Please find attached pdf
Step-by-step explanation:
Using the equation of the circle, it is found that since it reaches an identity, the point (√5, 12) is on the circle.
<h3>What is the equation of a circle?</h3>
The equation of a circle of center
and radius r is given by:

In this problem, the circle is centered at the origin, hence
.
The circle contains the point (-13,0), hence the radius is found as follows:



Hence the equation is:

Then, we test if point (√5, 12) is on the circle:


25 + 144 = 169
Which is an identity, hence point (√5, 12) is on the circle.
More can be learned about the equation of a circle at brainly.com/question/24307696
#SPJ1
Where's the question? We have some data...but no question