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3 years ago

Find the greatest common factor of these three expressions.

1 answer:

3 0

6x

42/6 = 7 (valid), 18/6 = 3 (valid), 12/6 = 2 (valid)

7, 8, 9, 10, and 11 are all not divisible by 12, and 12 is not divisible by 18, so 6 is the highest number.

Also, each number has at least one x, so you can take one out.

Remaining=
6x (7 + 3x^2 + 2x^3)

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B) The number of volume of a cylinder is half of its number of the total surface area.

faust18 [17]

Answer:

$V=179.6cm^3$

Step-by-step explanation:

the volume of a cylinder is given by:

$V=\pi r^2h$

where r is the radius and h is the height.

and the surface area:

$SA=2\pi r^2+2\pi rh$

the first term is the area of the circles and the second term is the area of the body.

since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:

$V=\frac{1}{2}SA$

substitutig the equivalent expressions on each side:

$\pi r^2 h = \frac{1}{2} (2\pi r^2+2\pi r h)$

and we simplify and solve for the height (since is the value we don't know of the cylinder):

$\pi r^2 h = \pi r^2+\pi r h\\\pi r^2h-\pi rh=\pi r^2\\h(\pi r^2-\pi r)=\pi r^2\\h=\pi r^2/(\pi r^2-\pi r)$

we substitute the value of the radius $r=7cm$ , and we get:

$h=\pi (7cm)^2/(\pi (7cm)^2-\pi (7cm))\\h=153.938/(153.938-21.991)\\h=153.938/131.947\\h=1.1666cm$

thus the volume is:

$V=\pi r^2h$

$V=\pi (7cm)^2(1.1666cm)\\V=179.6cm^3$

3 0

3 years ago

Read 2 more answers

How many degrees does the hour hand turn to get from 12:00 to 12:20

den301095 [7]

So each hour represents 30°.
The minute hand moves 60s per minute and a full rotation is 360° so: 360/60 = 6° per minute.
So in 20 minutes the minute hand will be 6 * 20 = 120° and the hour hand will be 120/12 = 10°.
so it would be 10°

5 0

3 years ago

3 in 2.7in 8.65 in cubic inches What’s the volume

jolli1 [7]

Answer:

8.56

Step-by-step explanation:

5 0

3 years ago

Round 146,273,011 to the nearest hundred thousand. i need help

loris [4]

Answer:

146,300,000

Step-by-step explanation:

146,273,011

The hundred thousand place is 100,000

Step 1: Round

146,273,011

146,300,000

Answer: 146,300,000

6 0

3 years ago

The circumference of a circle is C centimeters. The diameter of the circle is 19 centimeters. Which expression best represents t

sp2606 [1]

Answer:

Step-by-step explanation:

C = 19π

π = C/19

5 0

3 years ago

Read 2 more answers