Given f(x) = -x² - 4x + 4, Find the following:

Timothy built a base for a circular tabletop. The base can support a tabletop with a radius of at least 6 inches, but not more t

neonofarm [45]

Let

r------> the radius of the circular tabletop

we know that

$r\geq 6\ in$

$r\leq23\ in$

so

$6\ in \leq r \leq 23\ in$

The area of a circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

<u>Part a)</u> What is the smallest possible area of the tabletop that will fit on Timothy’s table base?

we know that

the smallest possible area of the tabletop is for $r=6\ in$

Substitute the value of r in the formula

$A=\pi 6^{2}$

$A=113.09\ in^{2}$

Round to the nearest whole square inch

so

$A=113\ in^{2}$

therefore

<u>the answer part a) is </u>

the smallest possible area of the tabletop is $113\ in^{2}$

<u>Part b)</u> What is the largest possible area of the tabletop that will fit on Timothy’s table base?

we know that

the largest possible area of the tabletop is for $r=23\ in$

Substitute the value of r in the formula

$A=\pi 23^{2}$

$A=1,661.90\ in^{2}$

Round to the nearest whole square inch

so

$A=1,662\ in^{2}$

therefore

<u>the answer part b) is </u>

the largest possible area of the tabletop is $1,662\ in^{2}$

7 0

4 years ago

Read 2 more answers

A swim coach randomly selects 3 swimmers from a team of 8 to swim in a heat.

Maru [420]

Answer:

37.5, i think

Step-by-step explanation:

8 0

3 years ago

Julie swam, biked, and ran in a 22.2 mile triathlon. She completed the race in

Akimi4 [234]

<h2>Average speed of biking is greater than average speed for the entire race.</h2>

Step-by-step explanation:

Total distance Julie traveled in triathlon = 22.2 miles

Total time taken = 2.15 hours.

We have

Total distance = Average speed x Time taken

22.2 = Average speed x 2.15

Average speed = 10.33 miles per hour.

We also have the function m = 13.8h represents the miles m Julie biked in h hours. This is also similar to

Total distance = Average speed x Time taken

m = 13.8 h

Average speed of biking = 13.8 miles per hour.

Average speed of biking > Average speed for the entire race

Average speed of biking is greater than average speed for the entire race.

8 0

3 years ago

If you sell $100,000 worth of art and earn 3%,how much did you make

zaharov [31]

You will make $3000 dollars. Here’s the explanation. First you have to convert the 3% to a decimal which is .03. Then you multiply the $100,000 by .03 and you get $3000. Hope this helped. :3

8 0

3 years ago

Read 2 more answers

Fuction transformation

Nata [24]

Answer:

left 3, up 4

Step-by-step explanation:

Look at the vertex

6 0

2 years ago