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3 years ago

Find the following.

Mathematics

1 answer:

Alexandra [31]3 years ago

5 0

Step-by-step explanation:

1. {a,e,i,o,u,a,b,c,d,e}

2. {} none

3. {a,e,i,o,u}

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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

the conference room of a hotel measures 40 ft by 50 ft has a 12-foot ceiling what is the area of the walls

Softa [21]

Answer:

The area of the walls is $2,160\ ft^{2}$

Step-by-step explanation:

we know that

The area of the walls is equal to the perimeter of the conference room multiplied by the height of the ceiling

$A=2[40+50](12)=2,160\ ft^{2}$

5 0

3 years ago

How to do an equation like this step by step? 4.5 (8 - x) + 36 = 100 - 2.5 (3x + 24)

Levart [38]

Answer:

x = -10.6667

Step-by-step explanation:

Solve for x:

4.5 (8 - x) + 36 = 100 - 2.5 (3 x + 24)

4.5 (8 - x) = 36 - 4.5 x:

36 - 4.5 x + 36 = 100 - 2.5 (3 x + 24)

Grouping like terms, -4.5 x + 36 + 36 = (36 + 36) - 4.5 x:

(36 + 36) - 4.5 x = 100 - 2.5 (3 x + 24)

36 + 36 = 72:

72 - 4.5 x = 100 - 2.5 (3 x + 24)

-2.5 (3 x + 24) = -7.5 x - 60:

72 - 4.5 x = -7.5 x - 60 + 100

Grouping like terms, -7.5 x - 60 + 100 = (100 - 60) - 7.5 x:

72 - 4.5 x = (100 - 60) - 7.5 x

100 - 60 = 40:

72 - 4.5 x = 40 - 7.5 x

Add 7.5 x to both sides:

7.5 x - 4.5 x + 72 = (7.5 x - 7.5 x) + 40

7.5 x - 7.5 x = 0:

7.5 x - 4.5 x + 72 = 40

Grouping like terms, 7.5 x - 4.5 x + 72 = (-4.5 x + 7.5 x) + 72:

(-4.5 x + 7.5 x) + 72 = 40

7.5 x - 4.5 x = 3 x:

3 x + 72 = 40

Subtract 72 from both sides:

3 x + (72 - 72) = 40 - 72

72 - 72 = 0:

3 x = 40 - 72

40 - 72 = -32:

3 x = -32

Divide both sides of 3 x = -32 by 3:

(3 x)/3 = (-32)/3

3/3 = 1:

x = (-32)/3

(-32)/3 = -10.6667:

Answer: x = -10.6667

3 0

3 years ago

Find the equation of the line.

zhuklara [117]

Answer:

y=-1/3x-2

Step-by-step explanation:

First off, lets outline that parallel lines have the <u>Same Slope</u>. So we can plug in -1/3 as our slope, or m.

Lets plug in -1/3 as our slope in Point Slope form to find the y intercept. Point slope form should be attached in an image below.

1) Plug slope and points into point slope form:

y+1=-1/3(x+3)

2) Distribute -1/3 to x and 3:

y+1=-1/3x-1

3) Subtract 1 from both sides:

y=-1/3x-2

Now we have our answer is slope intercept form!

Please let me know if you have any questions :)

3 0

3 years ago

What are the first 5 terms of the sequence if; an=2(an-1+an-2), a1=-2, a2=-3?

natali 33 [55]

The answer would be b
hope that helps

5 0

3 years ago

Read 2 more answers