3.0188 rounded to the nearest thousandths

Answers

Answer 1
Answer: 3.0200 is 3.0188 rounded to the nearest thousandth.

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Which of the following is always the result of dividing and integer by an integer when the divisor is nonzero?A) Integer
B) Whole number
C) Rational number
D) 0

Answers

if the divisor is non zero.

Example is:  7 / 9,  2/5.

What would always result is a rational number.

C is the answer.

Other options might not always result. Option D, 0 would never result.

Answer: C) Rational number

Step-by-step explanation:

a sphere fits snugly inside a 6-in. cube as shown. what is the volume of the region inside the cube but outside the sphere

Answers

Volume of the region inside the cube but outside the sphere is 102.903 inches³.

What is Volume?

Volume of a three dimensional shape is the space occupied by the shape.

Given a cube.

Volume of a cube = a³

Here a is the side length of a cube.

Here side length of the cube = 6 inches

Volume of the cube = 6³ = 216 inches³

Volume of a sphere = (4)/(3) π r³

Here diameter of the sphere = 6 inches

Radius of the sphere = 6/2 = 3 inches

Volume of sphere = (4)/(3) π (3)³

                              = 113.097 inches³

Volume of the region inside the cube but outside the sphere is,

Volume of cube - Volume of sphere

216 inches³ - 113.097 inches³

102.903 inches³

Hence the volume of the region inside the cube but outside the sphere is, 102.903 inches³.

To learn more about Volume, click :

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The six inch cube has a volume of 216 in³.
6*6*6=216
The sphere has a volume of 105.975 in³ (assuming pi is 3.14)
Because the sphere fits snugly inside the cube, it has a diameter of 6 inches and a radius of three inches.
4/3 π r³
4/3 π 3³
4/3 π  27
4/3(3.14)(27)
105.975

The volume of the region outside the sphere but inside the cube can be found by subtracting the area of the sphere from the area inside the cube.
216 - 105.975 = 110.025

The volume of the region outside of the sphere but inside the cube is 110.025 in 
³

The rise and span for a roof are shown. The pitch of a roof is the ratio of the rise to the half-span. If the rise is 8 feet and the span is 30 feet, what is the pitch in simplest form?

Answers

Half-span is half of span. Pitch of the roof is calculated as rise/(span/2). In this case, rise is 8 feet and span is 30 feet. So, the pitch can be calculated as 8/(30/2) or 8/15. Pitch is normally represented as the number of inches of rise per foot. So, to reduce 8/15 to match a foot, we multiply it by 12. So, (8/15) * 12 gives us 6.4 inches of rise per foot.

The pitch or slope of a roof is defined as the ration of rise and half of the span. In equation we can write:

Pitch=(Rise)/(Half-span)

Half-Span equals the run. So we can define the Pitch as:

Pitch = (Rise)/(Run)

Rise = 8 feet

Run = Half of span = 15 feet

Using the values in the above formula, we get:

Pitch = (8)/(15)

Therefore, the pitch (or slope) of the roof in simplest form is 8/15

Pitch is normally defined as the vertical rise of a roof for ever 12 feet increase in its horizontal run. The above fraction shows the vertical rise is 8/15 for each 1 feet increase in the horizontal run. So if we simply multiply the the above fraction by 12, we will get the pitch in standard units.

So,

Pitch = 8/15 x 12 = 6.4

Therefore, the pitch of the roof will be 6.4

PLEASE HELP ASAP!!!Which sets of side lengths represent Pythagorean triples? Check all that apply.

Answers

Answer with Step-by-step explanation:

For the Pythagorean triples, the square of largest number must be equal to the sum of squares of remaining two numbers.

1,2,5

5²=25

1²+2²=5

25≠5

Hence, it is not a Pythagorean triple.

6,8,14

14²=196

6²+8²=100

100≠196

Hence, it is not a Pythagorean triple.

8,15,17

17²=289

8²+15²=289

Hence, it is a Pythagorean triple

10,24,26

26²=676

10²+24²=676

Hence, it is Pythagorean triple

15,20,30

30²=900

15²+20²=625

900≠625

Hence, it is not a Pythagorean triple

28,45,53

53²=2809

28²+45²=2809

Hence, it is a Pythagorean triple

8,15,17 is one, 10,24,26 is one, and 28,45,53 is one

PLEASE DRAW WITH PENCIL

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is shown in the picture above☝️☝️

the bill for dinner came to $75.48. The four feiends decided to leave a $15.00 tip. If thwy share the bill equally, how much will each friend pay?

Answers

if I'm correct 22.62