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3 years ago

What is the volume of a sphere having a radius of 6 in.

Mathematics

2 answers:

Blababa [14]3 years ago

5 0

Answer:

V≈904.78in³

Step-by-step explanation:

Viefleur [7K]3 years ago

5 0

Answer:

904.32

Step-by-step explanation:

To solve a volume of sphere problem with a radius of six, we'll have to use the formula for the volume of a sphere, which is: 4/3 πr^3.

Step 1: 6 to the power of 3. This gives you 216.

Step 2: 216 times pi. This gives you 678.24.

Step 3: 678.24 x 4/3. In the end, this should give you 904.32.

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Will ran the diagonal distance across a square field measuring 40 yards on each side. James ran the diagonal distance across a r

slamgirl [31]

Will ran the longest

He ran for 56.57 yards, 13.56 yards longer than James.

Step-by-step explanation:

Step 1 :

Will ran the diagonal across a square field measuring 40 yards in each side.

The diagonal of a square can be obtained by the square root of the sum of the squares of its 2 sides [Because it forms the hypotenuse of a right angle triangle]

Hence when the side is 40 yards , the diagonal would be

$\sqrt{40^{2} + 40^{2}} = \sqrt{1600 + 1600} = \sqrt{3200} =56.57 yards$

So Will ran for 56.57 yards

Step 2 :

James ran the diagonal of a rectangular field with 25 yards length and 35 yards width.

The diagonal of the rectangle can be obtained by the square root of the sum of squares of its length and width.

Hence when the length is 25 yards and width is 35 , the diagonal would be

$\sqrt{35^{2} + 25^{2}} = \sqrt{1225 + 625}} = \sqrt{1850} = 43.01$ yards

So James ran for 43.01 yards

Step 3 :

Will ran for 56.57 yards and 43.01 yards.

Hence Will ran for longer distance of 56.57 yards, which is 13.56 yards more than James.

5 0

2 years ago

What is the equation for a line passing through (-2,3) and perpendicular to y= -1/2+1 ?

nata0808 [166]

Answer:

$y=2x+7$

Step-by-step explanation:

The correct question is

what is the equation for a line passing through (-2,3) and perpendicular to y= -1/2x+1 ?

Remember

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes are equal to -1)

The slope of the given line is m=-1/2

the opposite reciprocal is m=2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=2\\point\ (-2,3)$

substitute

$y-3=2(x+2)$

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y-3=2x+4$

$y=2x+4+3$

$y=2x+7$

3 0

2 years ago

Which number is less than 8/3

Zarrin [17]

Answer:

A I belive

Step-by-step explanation:

Just divide the top number with the bottom

4 0

2 years ago

What is the value of x

enyata [817]

The value of x can be found using the sine function.

sin 30 = x/8
8 (sin 30) = x
4 = x

5 0

3 years ago

You are paid $8.90 an hour for a 35-hour work week. You would like to work 5 hours a week overtime to earn extra money. How much

jeyben [28]

Answer:

$66.75 is what you'll make from over time.(this does not include the pay from the 35 hours this is only the over time)

Step-by-step explanation:

If you were to work (WITH OUT OVERTIME) you would have $311.50

If you were to work (WITH OVERTIME INCLUDED) you would get $378.25

5 0

3 years ago