What is the volume of a sphere with a radius of 18 units?
O A. 77767 units3
B. 12967 units3
O C. 58327 units3
D. 1944 units

Answers

Answer 1

Answer:

24,429.0245 square units

Step-by-step explanation:

The volume of a sphere can be found using the following formula.

[tex]V=\frac{4\pi r^3}{3}[/tex]

The radius is 18 units. Therefore, we can substitute 18 units in for r.

[tex]V=\frac{4\pi (18units)^3}{3}[/tex]

First, evaluate the exponents.

18 units^3= 18 units * 18 units * 18 units= 5832 units^3

[tex]V=\frac{4\pi (5832 units^3)}{3}[/tex]

Multiply 4 and pi.

[tex]V=\frac{12.5663706*5832 units^3}{3}[/tex]

Multiply in the numerator.

[tex]V=\frac{73287.0733 units^3}{3}[/tex]

Divide

[tex]V=24429.0245 units^3[/tex]

The volume of the sphere is 24,429.0245 units^3


Related Questions

PLEASE PLEASE PLEASE LOOK AT THIS & HELP ME

Answers

Answer:

(4, - 5 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 270°

a point (x, y ) → (y, - x ) , thus

(5, 4 ) → (4, - 5 )

Answer:

(4,-5)

Step-by-step explanation:

Definition : Rotate around  the origin 270 degrees. ' Since the rule for a 270 degrees rotation is (x, y) --------> (y, -x)

P(5,4) the mage is x=4, y=-5

Please please help!!! Study the diagram of circle Z. Points P, O, Q, and R lie on circle Z in such a way that OP¯¯¯¯¯¯¯¯≅QR¯¯¯¯¯¯¯¯. If m∠QZR=(2x+9)∘ and m∠PZO=(4x−11)∘, what is the value of x?

x=3.3
x=15.3
x=10
x=12

Answers

Answer:

The correct option is

x = 10

Step-by-step explanation:

in a circle Given that chord  [tex]\overline {OP}[/tex] is congruent to  [tex]\overline {QR}[/tex], we have;

Measured angle m∠RZQ is congruent to measured angle m∠PZO

Congruent chords are subtended by congruent angles at the center of the circle

Therefore we have;

4·x - 11 is equal to 2·x + 9

4·x - 2·x = 9 + 11

2·x = 20

x = 10

The value of the measured angles are;

4·x - 11 = 4×10 - 11 = 40 - 11 = 29°

The value of x is 10°.

Answer:

x=10

Step-by-step explanation:

4·x - 11 is equal to 2·x + 9

4·x - 2·x = 9 + 11

2·x = 20

x = 10

The value of the measured angles are;

4·x - 11 = 4×10 - 11 = 40 - 11 = 29°

The value of x is 10°

Is 2+4x-5x^2 in standard form?!

Answers

Answer:

y=-5x^2+4x+2

Step-by-step explanation:

Answer:

-5x² + 4x + 2

Step-by-step explanation:

Standard Form: ax² + bx + c

All you need to do is rearrange to have the highest degree first.

what is the measure of x? 68 degrees 70 degrees ​

Answers

Answer:

x = 138°

Step-by-step explanation:

Since the sum of all angles in a triangle is 180°, we find ∠BAC:

m∠BAC = 180 - (68 + 70) = 42°

Since ∠x and ∠BAC are Supplementary Angles, they add up to 180°:

180 - 42 = x

x = 138°

Answer:

138

Step-by-step explanation:

1. 68 + 70 = 138

2. 180 - 38 = 42

3. 180 - 42 = 138

4. X = 138

Kevin wants to buy an area rug for his living room. He would like the area rug to be no smaller that 24 square feet and no bigger than 48 square feet. If the length is 2 feet more than the width, what are the range of possible values for the width?

Answers

Answer: 6 feet to 8 feet

Step-by-step explanation: 6x4=24 8x6=48

6x4=24, and 6x8=48
Possible range: 4,6,and 8 .
Hope it helped

What is the equation in point-slope form of the line passing through (−2, 0) and (2, 8)?

Answers

Answer:

Step-by-step explanation:

(8-0)/(2+2)= 8/4= 2

y - 0 = 2(x + 2)

y = 2x + 4

Find the area of this triangle..

Answers

Answer:

Step-by-step explanation:

For this problem, we have to use Heron's Formula.

S= (a + b + c)

     over 2

And then  √S( S-a) (S-b) (S-c)

That's the formula, now to plug in the numbers.

S= 12+12+21.2

      over 2

that equals 45.2/ 2= 22.6'

Now we found s, so we can plug in the second step of the formula...

√22.6 ( 22.6 - 12 ) ( 22.6 - 12 ) ( 22.6 - 21.2 )

This equals √ 22.6 (10.6) (10.6) (1.4)

and that equals...

59.624411 = or rounded it up to 60.

59.624411 or round it up to 60

Which system below has no solution? y = 4x and y = 2x - 3 y = -4x and y = 2x - 3 y = -4x and y = 2x + 3 y = -4-x and y = 2x - 3

Answers

Answer:

y=4x

Step-by-step explanation:

this is because all other systems are defined and can be solved simultaneously...

pls lime and follow me ...i follow back...thanks

are the triangles similar? ​

Answers

Answer:

Yes.

Step-by-step explanation:

The angles of the triangles add up to be 180. 180 - 114 - 31 = 35. 180-114-35 = 31. Since the angles of the triangles correspond and are congruent, the triangles are similar, with PQR corresponding to TUS.

Hope this helps !

what is the estimate difference between 2.97 1 2/11​

Answers

Answer:

2

Step-by-step explanation:

Estimate 1 2/11 to 1.

Estimate 2.97 to 3.

3 - 1 = 2

Answer:

B

Explanation

I took the quiz

Flying against the wind, an airplane travels 7520 kilometers in 8 hours. Flying with the wind, the same plane travels 6500 kilometers in 5 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Answer:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

Step-by-step explanation:

Let the rate (speed) of the plane in still air = u km/h

Let the rate (speed) of the wind = v km/h

Formula for speed is:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Given that against the wind, airplane travels 7520 km in 8 hours.

The speed against the wind will be slower so,

Against the wind, speed = (u -v ) km/h

Using above formula:

[tex](u-v) = \dfrac{7520}{8} km/h\\(u-v) = 940 km/h ..... (1)[/tex]

Given that with the wind, airplane travels 6500 km in 5 hours.

The speed with the wind will be faster so,

With the wind, speed = (u +v ) km/h

Using above formula:

[tex](u+v) = \dfrac{6520}{5} km/h\\(u+v) = 1300 km/h ..... (2)[/tex]

Adding (1) and (2) to solve for u and v:

[tex]2u = 2240\\\Rightarrow u = 1120\ km/h[/tex]

Putting u in (1):

[tex]1120-u=940\\\Rightarrow u = 180\ km/h[/tex]

So, the answers are:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

100 members of a Gym are surveyed. The results are shown below. Given the gym member chosen at random is a female, what is the probability that they were aged 20+?

Answers

Answer:

[tex] \frac{17}{28}[/tex]

Step-by-step explanation:

There are 56 females

There is 56 females

34 are 20+

34/56 simplfies to 17/28

Find the slope of a line parallel to each given line and graph.

y=9x+5

Answers

Answer:

9

Step-by-step explanation:

This equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 9x+5

The slope is 9

Parallel lines have the same slope so a line parallel would have a slope of 9

Answer:

i think the slope is 9.

because y= 9x+5 is in the form of slope intercept form.

as y=mx + c (where m is the slope of the equation.)

therefore, the slope (m )= 9....ans

hope it helps....

A linear function has the same y-intercept as x + 4y = 8 and its graph contains the point (4, 3). Fill in the blank to find the y-intercept.

Answers

Answer:

The y - intercept is (0, 4)

Step-by-step explanation:

The equation x + 4y = 8 is in 'standard form.'  Any line parallel to this line has an equation that looks exactly the same EXCEPT for the constant.

So, let's write out x + 4y = 8 and replace the 8 with C.

x + 4y = C

Now take the coordinates of the given point (4, 3) and substitute them into the above equation:  4 + 4(3) = C = 16

Thus, the equation of the line passing through (4, 3) is x + 4y = 16.

To find the y-intercept, set x = 0 and calculate y:

0 + 4y = 16, or y = 4

The y - intercept is (0, 4)

3
8
9
10
TIMEI
01:
C D
When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?
2 + 7c-4c2 – 30 + 4
4c2 + 4c + 6
-7c2 + 10C + 6
O4c2 + 4C + 8
0-7c2 + 70 +6

Answers

Answer:

A. -4c^2+4c+6

Step-by-step explanation:

2+7c-4c^2-3c+4

-4c^2+7c-3c+4+2

-4c^2+4c+6

i need help from uh all..​

Answers

Answer:

Step-by-step explanation:

Given expression is,

[tex]\text{cot}A=\frac{1}{2}(\text{cot}\frac{A}{2}-\text{tan}\frac{A}{2})[/tex]

To prove this identity we will take the right side of the identity,

[tex]\frac{1}{2}(\text{cot}\frac{A}{2}-\text{tan}\frac{A}{2})=\frac{1}{2}(\frac{1}{\text{tan}\frac{A}{2}}-tan\frac{A}{2})[/tex]

                         [tex]=\frac{1}{2}(\frac{1-\text{tan}^2\frac{A}{2}}{tan\frac{A}{2}})[/tex]

                         [tex]=\frac{1}{2}[\frac{2(1-\text{tan}^2\frac{A}{2})}{2tan\frac{A}{2}}][/tex]

                         [tex]=\frac{1}{2}(\frac{2}{\text{tan}A} )[/tex] [Since [tex]\text{tan}A=\frac{2\text{tan}\frac{A}{2}}{1-\text{tan}^2\frac{A}{2}}[/tex]]

                         = cot A

Hence right side of the equation is equal to the left side of the equation.

I need to find the derivative of d). Can someone please fine y’ please.

Answers

Answer:

  = -2x/ ( x^2+5) ^2

Step-by-step explanation:

y = 1/ ( x^2 +5)

y = ( x^2+5) ^ -1

dy/dx = -1 * (x^2 + 5) ^-2  * d/dx  (x^2 + 5)

          -1 * (x^2 + 5) ^-2  * 2x

           = -2x/ ( x^2+5) ^2

Can someone help me with this question please?

Answers

Answer:

a.) (0,4) b.) (-4,0)

Step-by-step explanation:

a.) Let x=0 and solve for y: y=0+4=4. Since we let x=0 the first number will be 0 and we found y to be 4, so our coordinates are (0,4)

b.) Let y=0 and solve for x: 0=x+4, x=-4. Since x=-4 our first number is -4, since y is 0 our second number is 0, so our coordinates are (-4,0)

Hope this helps!

what is the slope of the line that contains these points (-2 2) and (3 3)

Answers

Answer:

             [tex]\bold{m=\dfrac15}[/tex]

Step-by-step explanation:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-2,\,2)\ \implies\ x_1=-2\,,\ y_1=2\\(3,\,3)\ \implies\ x_2=3\,,\ y_2=3\\\\m=\dfrac{3-2}{3-(-2)}=\dfrac{1}{3+2}=\dfrac15[/tex]

Dave ran 3.52 miles in the same time
that Eric ran 2.44 miles. How much
further did Dave run than Eric?

Answers

Subtract 3.52 - 2.44= 1.08 miles

Amanda teaches violin lessons for $21.30 per hour. How many hours of lessons must Amanda give to make no less than $894.60?


No less than 42 lessons

No less than 35 lessons

No less than 45 lessons

No less than 33 lessons

Answers

Answer:

No less than 42 lessons

Step-by-step explanation:

To find the total numbers of hours needed to teach, divide the total amount of money needed by the amount of money made an hour.

$894.60/$21.30 = 42

Please help me!

30g of cornflakes contain 2.5g of fat
How many grams of fat are there in 566g of cornflakes?
Give your answer to 1 dp

Answers

Answer:

47 .2 Grams 0f Fat

Step-by-step explanation:

[tex]30g ----> 2.5g -fat\\566g ----> xg -fat\\30x = 1415\\\frac{30x}{30} =\frac{1415}{30} \\\\x = 47.1666\\\\x = 47.2g of Fat[/tex]

In the diagram below, AB is parallel to CD. What is the value of x?

Answers

Answer:

A. 120 degrees.

Step-by-step explanation:

The two angles are alternate angles, which means they are congruent. So, x is also 120 degrees.

Hope this helps!

Draw a circle with center A and a radius of your choice. Create three well-spaced points, B, C, and D, on the circle in clockwise alphabetical order. Draw two radii, AB and AC , and draw two chords, DB and DC . Measure and record m∠CAB and m∠CDB. Take a screenshot of your diagram with the measurements, and paste it below.

Answers

Answer:

Please find attached the required circle

It is observed that the angle subtended by the arc CB which are m∠CAB and m∠CDB is such that the angle arc CB subtends at the center,  m∠CAB is two times the angle that the arc CB subtends at the circumference

The measured angle subtended by the arc CB at the center m∠CAB = 64° and the measured angle subtended by the arc CB at the circumference m∠CDB = 32°

Step-by-step explanation:

T

Answer:

from edmentum

Step-by-step explanation:

Solve the system of equations by substitution.
y=-1/2x-7
2 x - y = -16

Answers

Answer:

Point Form:

( − 46 /3 , − 44 /3 )

Equation Form:

x = − 46 /3 ,  y = − 44 /3

Step-by-step explanation:

Combine  1 /2 and  x .

y = x /2 − 7

2 x − y = − 16

Replace all occurrences of  y  in  2 x − y = − 16  with  x /2 − 7 .

y = x /2 − 7

2 x − ( x /2 − 7 ) = − 16

 Simplify  

2 x − ( x /2 − 7 ) .

y = x /2 − 7

3 x /2 + 7 = − 16

Solve for  

x

in the second equation.

y = x /2 - 7

x = − 46 /3

Replace all occurrences of  x  in  y = x /2 − 7 with  − 46 /3 .

y = − 46 /3 /2 − 7

x = − 46 /3

Simplify  − 46 /3 /2 − 7 .

y = − 44 /3

x = − 46 /3

The solution to the system of equations can be represented as a point.

( − 46 /3 , − 44 /3 )

The result can be shown in multiple forms.

Point Form:

( − 46 /3 , − 44 /3 )

Equation Form:

x = − 46 /3 ,  y = − 44 /3

Definition:A sailboat set a course of N 25° E from a small port along a shoreline that runs north and south. Sometime later the boat overturned and the crew sent out a distress call. They estimated that they were 12 miles away from the nearest harbor, which is 28 miles north of the port they had set sail from. If a rescue team leaves from the harbor, find all possible courses the team must follow in order to reach the overturned sailboat.

Answers

Answer:

S 75°E

S 55°E

Step-by-step explanation:

Take the law if sines of a triangle:

[tex] \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC} [/tex]

Where,

a = 28 miles

B = 25°

b = 12 miles

First solve for A, using the law of sines:

[tex] \frac{a}{sinA} = \frac{b}{sinB} [/tex]

[tex] \frac{28}{sinA} = \frac{12}{sin25} [/tex]

Cross multiply:

[tex] 28 sin25 = 12 sinA [/tex]

[tex] 11.83 = 12 sinA [/tex]

[tex] Sin A = \frac{11.83}{12} [/tex]

[tex] Sin A = 0.986 [/tex]

[tex]A = sin^-^1(0.986)[/tex]

[tex] A = 80.44 degrees [/tex]

Since A = 80.44° find A supplement, A`:

A` = 180 - 80.44

A` = 99.56°

If A` + B < 180°, find C.

Thus,

A` + B = 99.56 + 25 = 124.56

We can see that A` + B < 180

Find C:

C = 180 - (80.44+25) = 74.56° ≈ 75°

C` = 180 - (99.56+25) = 55.44° ≈ 55°

Rewrite in bearing form:

S 75°E

S 55°E

change S25°W to a three digit bearing

Answers

Answer:

the answer is s025w

Step-by-step explanation:

simply add zero to the front to make it a three digit bearing


A line contains the point (8,-5). If the slope of the line is write the equation of the line using point-slope form

Answers

Answer:

             [tex]\bold{y+5=\frac57(x-8)}[/tex]

Step-by-step explanation:

[tex]y-y_1=m(x-x_1)[/tex]      - point-slope form of Equation of the Line

[tex](8,-5)\ \ \implies x_1=8\,,\ y_1=-5\\\\m=\frac57\\\\equation:\\{}\qquad\qquad y-(-5)=\frac57(x-8)\\\\{}\qquad\qquad y+5=\frac57(x-8)[/tex]

Please answer this question now in two minutes

Answers

88 degrees because the two figures are congruent.

Answer:

67 degrees.

Step-by-step explanation:

The two quadrilaterals are congruent, with angle T corresponding to angle F, angle U corresponding to angle C, angle V corresponding to angle D, and angle W corresponding to angle E.

A quadrilateral's interior angles add to be 360 degrees.

x + 138 + 67 + 88 = 360

x + 293 = 360

x = 67

So, angle D is 67 degrees.

Hope this helps!

Find equation of the line.

Answers

Answer:

-1+9

Step-by-step explanation:

-1 divide by -1 =1

so the answer is -1+9

I hope that helped and can you do my answer as a Brainliest PLEASE

If it helped don't forget to thanks

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