The point (1,−1) satisfies the inequality 40x−22y≤50.

Jessica has some round stickers. Each sticker has a radius of 2 cm. She is trying to cover as much of a sheet of paper that is 2

nata0808 [166]

Answer:

189.12 cm²

Step-by-step explanation:

If the radius of the stickers is 2 cm, then the diameter of each sticker is 4 cm.

1. Using this, divide each length of the sheet of paper by the diameter of 4 cm to see how many stickers can fit without overlapping.

24 ÷ 4 = 6 stickers

33 ÷ 4 = 8.25 = 8 stickers (only eight whole stickers will fit without overlap)

This means there can be a total of 48 stickers because 6*8 = 48.

2. Find the area of one sticker. The formula for the area of a circle if πr² (pi times radius squared) with 3.14 equal to π.

3.14 · 2² → 3.14 · 4 = 12.56 cm²

3. Multiply the area by the number of stickers that can fit on the sheet of paper (48 stickers).

12.56 · 48 = 602.88 cm²

4. Find the area of the sheet of paper. The formula for the area of a rectangle is length · width.

24 · 33 = 792 cm²

5. Subtract the area of the stickers from the area of the sheet of paper to solve for the remaining bare paper around the stickers.

792 - 602.88 = 189.12 cm²

8 0

4 years ago

Identify the coefficient of the term –3gh

Alika [10]

The variables are the letters g and h because, the coefficient is the number in front of the variables (the letters are variables)

5 0

3 years ago

Match the one-to-one functions with their inverse functions.

Nady [450]

The inverse of a function is obtained by making x the subject of the formular of the function.

Given the function
$f(x)= \frac{x}{8} -7$
the inverse of the function is obtained as follows:
$y= \frac{x}{8} -7 \\ \\ y+7=\frac{x}{8} \\ \\ x=8(y+7) \\ \\ \bold{f^{-1}(x)=8(x+7)}$

Given the function
[tex[f(x)=x+7[/tex]
the inverse of the function is obtained as follows:
$y=x+7 \\ \\ x=y-7 \\ \\ \bold{f^{-1}(x)=x-7}$

Given the function
$f(x)=1- \frac{x}{3}$
the inverse of the function is obtained as follows:
$y=1- \frac{x}{3} \\ \\ -\frac{x}{3} =y-1 \\ \\ x=-3(y-1) \\ \\ \bold{f^{-1}(x)=-3(x-1)}$

Given the function
$f(x)=20-0.25x$
the inverse of the function is obtained as follows:
$y=20-0.25x=20- \frac{1}{4} x \\ \\ \frac{1}{4} x=20-y \\ \\ x=4(20-y) \\ \\ \bold{f^{-1}(x)=4(20-x)}$

5 0

3 years ago

On what website Might one be able to find the most reliable information on eating disorders

Marianna [84]

Mayo Clinic would be a good site because that is a large medical research hospital. Here is the link directly to their page about eating disorders. https://www.mayoclinic.org/diseases-conditions/eating-disorders/symptoms-causes/syc-20353603

8 0

3 years ago

2x+7=17 A. 6 B. 21 C.5 D.0

vodomira [7]

Answer: 5 so C

Step-by-step explanation: 17-7 is 10 and 10 divied by 2 is 5

8 0

3 years ago