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3 years ago

Find the product. -a 2b 2c 2(a + b - c)

Mathematics

1 answer:

ratelena [41]3 years ago

4 0

Answer:

I think the answer is

${ - 8a}^{2} {b}^{2} - {8ab}^{3} + {8ab}^{2} c$

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Maria want to make a footstool in the shape of a cylinder, as show below. She wants to fill the footstool with foam and cover it

dexar [7]

Answer:

She'll need 8143 cubic inches of foam and 1,809.6 square inches of fabric.

Step-by-step explanation:

Assuming you want to know how much foam and fabric she will need...

First the foam... so we need to determine the volume of that footstool. The Volume of a cylinder is given by:

V = π * r² * h

So, we plug in the numbers:

V = π * 12² * 18 = π * 144 * 18

V = 2,592 π = 8143 cubic inches.

Now for the fabric... we'll assume Maria wants to cover the side of the stool and the top, but not the bottom.

The side of the stool is basically a rectangle of width of 18 inches and a length of the circumference of the base of the stool. The circumference is given by: C = 2 π * r of course, so C = 24π = 75.14 inches.

So the lateral surface of the cylinder is:

LS = 18 * 75.14 = 1,357.2 sq inches.

Then we need to calculate the area of the top... which is easy:

A = π * r² = π * 12² = 144 π = 452.4 sq inches

So, to cover the lateral side of the footstool and its top, she needs to use:

TA = 1,357.2 + 452.4 = 1,809.6 sq inches of fabric.

8 0

3 years ago

How do I solve problem 10?

Grace [21]

If you extend the line from 1 through the parallel line you create a transversal and a triangle.

Consecutive angles inside the parallel lines are supplementary therefor the exterior angle of the triangle on the left side measures 118 degrees. This angle creates a linear pair with the left base angle therefore that angle measures 62 degrees.

144 forms a linear pair with the right base angle of the triangle making its measure 36 degrees.

The third angle of the triangle would then measure 82 degrees. Finally this third angle forms a linear pair with angle 1 making angle 1 measure 98 degrees.

6 0

3 years ago

Trevor made this number pattern 2,9,16,23,30,37 if the pattern continues what will be the eight number be

Katena32 [7]

Answer:

Step-by-step explanation:

6 0

3 years ago

You are standing next to a really big circular lake. You want to measure the diameter of the lake, but you don't want to have to

Nuetrik [128]

The diameter would be 400 because one of the two formulas to find a circumference is C= pi (D) so according to ur information, the diameter would be 400

5 0

3 years ago

Read 2 more answers

The total charge for a taxi ride in NYC includes an additional fee of $3.75 plus $1.25 for every half mile traveled Jody took a

laiz [17]

You can write a relationship where x will be the distance traveled in 12 miles:
3.75+1.25⋅x=12.5
solve for x:
x=12.5−3.751.25=7
but x corresponds to 12 miles so that Jodi traveled 7⋅12=3.5 miles

5 0

3 years ago