The volume of a cylinder is 3,166.7 cm2. The radius of the base of the cylinder is 6 cm. What is the height of the cylinder?

Answer:

x = 3/2 or 1.5

Step-by-step explanation:

6 - 2x = 3

(You have to subtract 6 on both sides so it can cancel out)

6 - 6 - 2x = 3 - 6

-2x = -3

(Now, you divide -2 on both sides to isolate the x)

-2/(-2)x = -3/(-2)

x = 3/2

Answer:

Step-by-step explanation:

I attached a pic so you can see what the angles look like when you draw them out and construct right triangles out of them. We need to find the missing side lengths, ?, in each triangle. For A:

and

x = 40 For B:

and

x = 29. Now that we know all the sides of each triangle, we will use the sum identity for sin:

sin(A + B) = sinAcosB + cosAsinB. Filling in what we found in our triangles for each ratio: sin A = 40/41, sin B = 21/29, and cos B = 20/29

sin(A + B) = which simplifies to

And that's it. It doesn't simplify any further.

Answer:

V= 36 9/16 or (decimal form) 36.5625

Step-by-step explanation:

V=length x width x height

Answer: c

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Add 4 to both sides of the equation:

x - 4 (+4) = 6 (+4)

x = 6 + 4

x = 10

x = 10 is your answer.

~

You get this result after adding 4 to both sides. This is to undo the "minus 4" happening to the x.

To check the answer, replace x with 10 and simplify each side like so

x-4 = 6

10-4 = 6

6 = 6

We get the same thing on both sides, so that confirms the solution.

Answer:

659.4 inches

Step-by-step explanation:

C = 2*3.14*21

C = 131.88

131.88*5 = 659.4 inches

Answer: 0.39 inch  snow fell on Wednesday than on Thursday.

Step-by-step explanation:

We are given that, It snows 0.7 inch on Wednesday and 0.31 inch on Thursday.

According to this model,

more snow fell on Wdifferenceednesday than on Thursday because 0.7 > 0.31

To compute the difference we subtract the length of snow on Thursday from length of snow on Wednesday.

Difference = 0.7-0.31

= 0.39 inch

Hence, 0.39 inch  snow fell on Wednesday than on Thursday.

Answer:

9.50x+130 > 700

Step-by-step explanation:

Answer:

9.50x+130> 700 I believe is the right answer.

Step-by-step explanation:

You need to have over $700 after adding $130 to your profit from mowing, which is $9.50 an hour.

x equals how may hours

9.50x + 130 > 700

Answer:

Both are false.

Step-by-step explanation:

Elena is right in saying that exponents are repeated multiplication, but shes doing it the incorrect way. 2 to the power of 28 is not multiplication of 28s twice, but instead is multiplication of 2 twenty eight times.

1-opposite angles are congruent

2-consecutive angles are supplementary

3-diagonals of a parallelogram divide the parallelogram into two congruent triangles

4-diagonals of a parallelogram bisect each other

Answer:

9

Step-by-step explanation:

Substitute 8 for x

x2-7

8*2-7

16-7

9

Answer:

(x+3)² + (y+2)² = 49

Step-by-step explanation:

To graph the circle that has centre of (-3,-2) with a point (-3, -9) on it.

First, let us write the equation of the circle

The equation is expressed as;

(x-a)² + (y-b)² = r²

(a, b) is the centre

r is the radius

r = √(-9-(-2))² +(-3-(-3))²

r = √(-9+2)² +(-3-(-3))²

r = √(-7)²

r = √47

r = 7

Get the equaton

(x-(-3))² + (y-(-2))² = 7²

(x+3)² + (y+2)² = 49

This gives the required equation

Answer:

15

Step-by-step explanation:

miranda - 2x5=10

trudy - 5x5=25

25-10=15

Answer:

57

Step-by-step explanation:

The scale factor is 8:24  or 1:3

The perimeter of the smaller triangle is 19 so the perimeter of the larger triangle is 3 times as large

19*3 = 57

Answer:

57 units

Step-by-step explanation:

ANG is 3 times the size of TRI. multiply TRI's perimeter by 3 to get ANG's perimeter

Answer: 6

Step-by-step explanation: The answer is 6

Answer:

Exactly 22 dogs weigh at least 100 pounds

Exactly 6 dogs weigh 70 pounds

Exactly 9 dogs weigh at least 120 and less than 160 pounds

The heaviest dog at the show weighs 170 pounds

At this dog show a typical weight for a dog would be around 100 - 120

Answer:    0.5 liquid gallon

Step-by-step explanation:      Have a great day

Answer:

B

Step-by-step explanation:

V = 4/3 * radius^3 * pi = 4/3 * 4^3 * pi = 256 /3 * pi

Answer: 352 feet

Step-by-step explanation: 44 X 8

Answer:

class b

Step-by-step explanation:

because the mean and median are approximately the same

Answer:

Total Area: 60

Step-by-step explanation:

The area of the rectangle is the easiest to find. Just multiply 12x4.

12x4=48

For the triangle. You can subtract 4 from the height of 10ft.

The height of the triangle is now 6ft.

To calculate the area of a triangle, multiply the height by the base (this is also known as the 'width') then divide by 2.

Btw the image was really small. Kind of hard to see the numbers.

Answer:

20

Step-by-step explanation:

We are to determine the lowest common multiple of 4 and 5

the first six multiple of 4 are = 4, 8, 12, 16, 20, 24

the first six multiple of 5 are = 5, 10, 15, 20, 25

the multiple they both have in common is 20

Answer:

HCFD

Step-by-step explanation:

a² + b² = c² => a² = c² - b² => a = √(c² - b²)

=> the height of the window = √[(the given length of the latter)² - (the distance from the latter to the base of the building, 3.5 meters)²]

A) √(5.5² - 3.5²) ≈ 4.24 => H

B) √(8.8² - 3.5²) ≈ 8.07 => C

C) √(9.3² - 3.5²) ≈ 8.62 => F

D) √(7.9² - 3.5²) ≈ 7.08 => D

Answer:

n = 12.89

Step-by-step explanation:

Add 9.02 + 3.87

Answer:

1/4

Step-by-step explanation:

Answer:

3.56 pints

7.125 cups

57 oz

Step-by-step explanation:

water = 1 quart = 32 oz

lemon juice = 1 pint = 16 oz

honey = 9 oz

lemonade = 32 + 16 + 9 = 57 oz

Now 16 oz = 1 pint

So, 57 oz = 3.56 pint

As, 1 cup =  8 oz

So, 57 oz = 7.125 cups

Answer:

Volume=length*wide*height

1st volume:1 ½*3*1=3/2×3=9/2 not equal

2nd volume: 2*2*1 ½=4*3/2=6units not equal

3rd volume: 1 ¼*4*1=5/4*4=5units equal

4th volume :2*1*2=4units not equal

third one is a required answer.