Mathematics High School

Work out the volume of this sphere.
Leave your answer in terms of pi

Work Out The Volume Of This Sphere.Leave Your Answer In Terms Of Pi

Answers

Answer 1

Answer:

Volume of sphere = 36π cm³

Step-by-step explanation:

Given:

Radius of sphere = 3 cm

Find:

Volume of sphere.

Computation:

Volume of sphere = (4/3)πr³

Volume of sphere = (4/3)π(3)³

Volume of sphere = (4/3)π(27)

Volume of sphere = 36π cm³

Related Questions

A right triangle has legs with lengths of 6in and 8in. What is the length of the hypotenuse

Answers

You require the Pythagorean Theorem: in a right triangle the sum of the squares of the legs equals the square of the hypotenuse.
In this case 6^2 + 8^2 = 36 + 64 = 100 = 10^2, i.e. the hypotenuse is 10.
Please note that a so-called 3-4-5 right triangle is the smallest right triangle which has integer sides...and of course, a 6-8-10 triangle like this one is simply a magnification of the smaller, i.e. a so-called similar triangle.

Answer: 10

Step-by-step explanation:

the formula is √a^2+b^2=c^2

so your equation should look like this √6^2+8^2=c^2

6·6=36

8·8=64

√36+64

√100=10

the hypotenuse or c^2 is 10

HELP!! Identify the transformation from ABC to A'B'C'.
1. Reflection over the y-axis
2. 90 degree rotation
3. 270 degree rotation
4. Reflection over the x-axis

Answers

Answer:

Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.

Choice 1.

Step-by-step explanation:

Reflection over the x-axis

Given a point A(x,y), a reflection over the x-axis maps A to the point A' with coordinates A'(x,-y).

The figure shows triangles ABC and A'B'C'. It can be clearly seen the x-coordinates for each vertex of both triangles is the same and the y-coordinate is the inverse of it counterpart. For example A=(5,3) and A'=(5,-3)

Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.

Choice 1.

On average, Tammy is able to read 2 chapters in her book each week. How many weeks will it take Tammy to read 5 1/2 chapters?

Answers

2 3/4 weeks because 2 a week then another week is 4 then add a 1/2 because it’s 5 then add a 4th because there’s another 1/2 so you get 2 and 3/4 weeks

c) If a pen and a pencil cost £1.10 for both and the pen
costs £1 more than the pencil, what is the cost of the pen?

Answers

Answer:

$3.10

Step-by-step explanation:

What single transformation was applied to triangle A to get triangle B?

Answers

Answer:

should be reflection

Step-by-step explanation:

bc a translation would just move it and rotation and dilation wouldn't work either

The single transformation was applied to triangle A to get triangle B is a reflection, in which A is reflected around the y-axis.

What is reflection?

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.

Given:

The triangles A and B are shown in the given figure,

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original,

Rotation is the process of going around a center.

A shape is translated when it is moved up, down, left, or right without turning. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes.

Thus, triangle A is reflected as B.

To know more about reflection:

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write equations for a horizontal line and vertical line so that they intersect at the point ( -2, 5)

Answers

For horizontal line:

Y = 5

For vertical line:

X = -2

Drawing a straight line at these points, the lines will intersect at (-2, 5) in the 3rd quadrant of the the graph (bottom left)

What is the value of x?
30°
130
to

Answers

Answer:

20

Step-by-step explanation:

Most likely this is a triangle triangle have 180 always

Solve each of the following system of equations by substitution!!!

x-5y=-49
y=-2x+1

Answers

Answer:

(-4,9)

Step-by-step explanation:

substitute the given value for y into the first equation

x-5(-2x+1)=-49

distribute

x+10x-5=-49

add like terms

11x-5=-49

add 5 to both sides

11x=-44

divide both sides by 11

x=-4

now plug x into into the second equation

y=-2(-4)+1

y=8+1

add like terms

y=9

Please help thank you so muchhhh

Answers

Answer:

if you download PHOTOMATH on your phone. all you have to do is take a picture of it. and it gives you the answer and the work. trust me

Answer:

c.) f(x) = (x +2)² –4

Step-by-step explanation:

We can test values in the equation selected from points on the graph. (-4,0)x intercept. (-2,-4)vertex

0 = (-4 +2)² -4

0 = (-2)² -4

0 = 4 - 4 true

-4 = (-2+2)² -4

-4 = 0² -4. True again.

answer x is a good choice.

Also find the axis of symmetry by calculating –b/2a

Write an equation of the line that passes through the point (3,2) and is
PARALLEL to the graph of y=3x-2*

Answers

Answer:

y = 3x - 7

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

hELP I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER

Answers

Answer:

It’s the number hairline

Step-by-step explanation:

Hairline cut it straight

Answer:

16x16x16x16

Step-by-step explanation:

Type the correct answer in the box.
The product of (3 - 4) and (blank)
is 25.

Answers

Answer:

-25

Step-by-step explanation:

Since product mean multiply, we multiply (3-4) and (blank), which we'll call "n".

(3-4)n = 25

subtract in parentheses

(-1)n = 25

remove parentheses

-1n = 25

swap signs

n = -25

A cyclist rides a distance of 36 km at an average speed of 16 km/h.

Calculate the time taken to complete this ride. Give your answer in hours and minutes.

Please Help!

Answers

Answer:

2.25 hours, or 2 hours and 15 minutes.

Step-by-step explanation:

All we do is 36/16 which is 2.25. 0.25 or 1/4 of an hour is 15 minutes. So, your answer is 2 hours and 15 minutes.

It takes 2 hour and 12 minutes for the cyclist to complete the ride of 36km distance.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Total distance covered by cyclist= 36km

Average speed of the cyclist = 16km/hr

Therefore, using unitary method:

                16 km distance takes time = 1hr

Therefore, 1 km distance takes time =(1/16)hr

Therefore, 36 km distance takes time = (1/16)×36 hr

                                                     =(1/4)×9 hr

                                                     =9/4 hr

                                                     =2.25 hr

                                                      =(2+0.25)hr

                                                      =2hr+0.25hr

                                                      =2hr+0.25×60minutes

                                                      =2hr and 15 minutes.

Hence, it takes 2hr and 15 minutes for the cyclist to complete 36 km rides.

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What is the complex conjugate of the root x = 3i

Answers

Answer:

For example, the conjugate of 0 + √3 is 0 - √3, the conjugate of -√3 is √3, and the conjugate of 2 - 5√3 is 2 + 5√3.

Step-by-step explanation:

The complex conjugate of the root x = 3i will be x = -3i.

What is complex conjugate?

The complex conjugate of a complex number is the number that has equal real and imaginary parts that are opposite in sign but equal in magnitude.

A given complex function is x = 3i

As we know that the complex conjugate function is one in which the imaginary part of the function becomes negative.

The complex conjugate function will be:-

x = -3i

Therefore the complex conjugate of the root x = 3i will be x = -3i.

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please help (attachment shown below) for 50 pointz hurry

Answers

Answer:

I got C

Step-by-step explanation:

Answer:

2021

Step-by-step explanation:

find the total surface area of this cupoid 6cm 2cm 5cm

Answers

Answer: 60

Step-by-step explanation:

This is done by multiplying length x width x height (6x2x5)

Please help quickly!!!!

Answers

Answer:

x=13

Step-by-step explanation:

109-5=104

104/8=13

x=13

Help me please answer both...........

Answers

Domain:2,3,4,5,6 and Range 0,1,2,3,4

Every autumn, the North American Monarch
butterfly migrates up to 3,000 miles to California and Mexico where it hibernates
until early spring. The butterfly travels on average 50 miles per day.

Answers

Part A

The equation is d = 50t

This is because the slope of 50 represents how many miles per day the butterflies cover (on average). The y intercept is 0 to indicate that 0 miles have been traveled initially.

You can think of this as the equation y = 50x

If t = 1, then d = 50t = 50*1 = 50 miles have been covered

If t = 2, then d = 50t = 50*2 = 100 miles have been covered

And so on.

==========================================================

Part B

You'll have these values in the bottom row (in the order presented): 50, 100, 150, 200, 250

You can plug in the values t = 1, t = 2, t = 3, t = 4 and t = 5 into d = 50t to find those answers in bold.

Or you could add on 50 each time to generate each new value. We start at 50 since t = 1 corresponds to d = 50.

==========================================================

Part C

You can keep the pattern of 50,100,150, ... going until you reach 2500. Then note the t value that pairs with d = 2500

In my opinion, that's the slower method.

The quicker method is to plug d = 2500 into the equation for part A, and then solve for t.

d = 50t

2500 = 50t

50t = 2500

50t/50 = 2500/50 ....... divide both sides by 50

t = 50

It will take 50 days for the average distance traveled to be 2500 miles.

seventy four point three times five point four​

Answers

401.22

Hope this helps!

May I have brainliest please? :D

Answer:

401.22

Step-by-step explanation:

You just regularly multiply.....

3(2f + 4) = 2(3f - 6)

Answers

Answer:

I would say no solution

Step-by-step explanation:

There are no values of the variable  that make the equation true.

Answer:

no solution

Step-by-step explanation:

0=-24 at the end, which leads to no solution because 0 does not equal -24

You have recently taken out a loan for a new home. You place 10% down and finance the remaining balance. As part of the closing cost, you are required to pay 2.5 points. Determine the amount of the loan prior to the addition of the 2.5 points to the loan if the final loan amount was for $151,625. Round your answer to the nearest cent.

a.
$149,384.24
c.
$147,926.83
b.
$148,651.96
d.
$147,208.74

Answers

Answer:

C. $147,926.83

Step-by-step explanation:

If SU and VX are parallel lines and mUTR = 115°, what is mSTW?

Answers

Answer:

m STW = 115°

Step-by-step explanation:

here, SU || VX

m STW = m UTR

( vertical opposite angles )

Hence, STW = 115°

A square is cut diagonally into two equal parts. If each part has an area of 50 cm2, then what is the perimeter of each part?

Answers

Answer:

30cm

Step-by-step explanation:

Given data

When are square is cut diagonally into two parts

The resulting shape is a triangle

hence the area of the square = 50+50 = 100cm^2

The length of each side of the square = √100= 10cm

likewise the diagonal of the square = 10cm

Hence the perimeter of the resulting triangle= 10+10+10= 30cm

HELP WILL GIVE BRAINLIEST FOR BEST ANSWER!!!
What is the radical form of each of the given expressions?

Drag the answer into the box to match each expression.
view pic

Answers

ANWSER:
All you need to do it rewrite the exponent
Using x^n/m=^m√x^n
2 ^1/2-> √2
2^2/3->^3√2^2
3^3/2-> √3^3
3^1/3-> ^3√3
I hope that helps

i neeed help plsssss! 10 points to whoever gets it right lol

Answers

Answer:

C.

Step-by-step explanation:

Pretty sure the answer is -28 if not it is 28 but pretty sure its the negative one

Answer:

C. (third)

I am to lazy to explain:(

14. True or False: Does a reflection
preserve congruence?

Answers

Answer:

False

Step-by-step explanation:

15 is what percent of 40?
15 is
19% of 40.

Answers

Answer:

37.5

Step-by-step explanation:

5 is what percent of 40? = 37.5.

HELP I’LL GIVE BRAINIEST

Answers

3 , 2 , 1 ,4
Explaining:

Answer:

1 = Definition of a parallelogram

2 = Alternate interior angle theorem

3 = Angle addition postulate

4 = Substitution

The bronx zoo opened at 9.00 am. In the first hour 280 people purchased admission tickets. In the second hour 25 percent more people purchased admission people than the first hour . Each ticket cost 16.25. What was the total amount of money paid for all the tickets purchased in the first two hours

Answers

Answer:

Total amount paid for tickets in the two hours =  $10,237.50

Step-by-step explanation:

Step 1

Ist Hour, 280 tickets were sold at the cost of $16.25

Amount of money made in the first hour= Number of people who purchased ticket  x price of a ticket

=280 x 16.25 =$4,550

2nd Hour, 25 % more people purchased ,

which means the total number of people who purchased tickets =

1.25 x 280= 350

Amount of money made in second hour =  Number of people who purchased ticket  x price of a ticket 350 x 16.25 =$5,687.5

Step 2

Total amount paid for tickets in the two hours =  Amount of money made in the first hour +Amount of money made in second hour

=$4,550+ $5,687.5

=$10,237.50

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