What is the volume of a hemisphere with a diameter of 8.9 cm, rounded to the nearest tenth of a cubic centimeter?

Answers

Answer 1

Answer:

Formula for volume of hemisphere;

V = 2/3 * π * [tex]r^{3}[/tex]

π - pi, which is 3.14 or 22/7

r = radius (half of the diameter/ 1/2 x diameter)

Since we are given the diameter, we find 1/2 of the diameter to find the radius.

1/2 x 8.9(diameter)

8.9/2 = 4.45 is our radi.

So now, we plug in this value into our equation.

V = 2/3 * π * [tex]r^{3}[/tex]

V = 2/3 * 22/7 * 4.45^3

V = 2/3 * 22/7 * 88.12

V = 2/3 * 276.95

V = 184.63 cubic centimetres.


Related Questions

HELP.

can someone give me an explanation of how to do this? i just want to know how to apply the explanation to other problems!

Answers

Mid point of any two points (x1,y1) and (x2,y2)

is ((x1+x2)/2,(y1+y2)/2)

using this

we get coordinates of d are (a,-2b)

∠A and ∠B are supplementary. The measure of ∠A is 34°.

What is the measure of ∠B?

Enter your answer in the box.


Please help!

Answers

Answer:

146

Step-by-step explanation:

Given;

 ∠A and ∠B are supplementary. The measure of ∠A is 34°.

To Find;

What is the measure of ∠B?

Note:

Supplementary = 180 degree

Solve:

Since supplementary = 180 degree

34 + x = 180

Subtract 34 from both sides

x + 34 - 23 = 180 - 34

Simplify

x = 146

Hence, the measure of ∠B is 146

~Learn with Lenvy~

You have a cup of lemonade. Each ice cube has a length of 2 cm, a width of 1 1/4 cm and a height of 3 cm. What is the volume of one of the ice cubes? Show your steps and Explain how you used math to come to your decision.

Answers

volume : 7.5 cm²

volume of cube : length * width *  height

[tex]\hookrightarrow \sf Length \ * Width \ * \ Height[/tex]

[tex]\hookrightarrow \sf 2 \ * 1\dfrac{1}{4} \ * \ 3[/tex]

[tex]\hookrightarrow \sf 2 \ * \dfrac{5}{4} \ * \ 3[/tex]

[tex]\hookrightarrow \sf \dfrac{15}{2}[/tex]

[tex]\hookrightarrow \sf 7.5 \ cm^2[/tex]

Answer:

[tex]\sf volume=7 \frac12 \ cm^3[/tex]

Step-by-step explanation:

Formula

volume of cuboid = length × width × height

Given dimensions of the ice cube:

length = 2 cmwidth = 1 1/4 cmheight = 3cm

Substituting the given values into the formula:

[tex]\sf \implies volume=2\times 1 \frac14 \times 3[/tex]

Converting to improper fractions:

[tex]\sf \implies volume=\dfrac21\times \dfrac54 \times \dfrac31[/tex]

                  [tex]\sf =\dfrac{ 2\times 5 \times 3}{1 \times 4 \times 1}[/tex]

                  [tex]\sf =\dfrac{30}{4}[/tex]

Dividing the numerator and denominator by the highest common factor:

[tex]\sf \implies volume=\dfrac{30 \div 2}{4 \div 2}[/tex]

                  [tex]\sf =\dfrac{15}{2}[/tex]

Converting the improper fraction into a mixed number:

[tex]\sf \implies volume=7 \frac12 \ cm^3[/tex]

3. What is the slope of a line that passes
through (0,-5) and (8,27)?

Answers

Answer:

4.

Step-by-step explanation:

Slope = difference in y coordinates / difference in the corresponding x coordinates

(27 - (-5)) / (8 - 0)

= 32 / 8

= 4.

Answer: Well, The entered points belong to an increasing, linear function.

Equation: y = 2.75x + 5.

You're key in this will be y=mx+b right?

Then you're M in y=mx+b is your slope. Therefore, if we take a look at our M in the slope we got,.....y = 2.75x + 5......it's-

2.75.

So you're slope is y= 2.75x      

I'm not that great at explaining but yeah, i tried lolz :3      

Find the side labeled x.

Answers

Answer:

4√3

Step-by-step explanation:

Hello!

This is a 30° 60° 90° because it has a 90° angle, a 30° angle, and the missing angle is 60° (sum of angles in a triangle is 180°). This triangle has special properties.

In a 30°-60°-90° triangle, the leg opposite 30° is always half the hypotenuse.

This means that the hypotenuse would be 2 times 4, or 8.

The leg opposite to 60° in a right triangle of this sort is the length of a leg multiplied by √3.

So the measure of x is 4√3.

An image is attached for your reference.

The value of side labeled x using Trigonometric ratio is  [tex]{4}{\sqrt 3}[/tex].unit.

Given:

Angle = 30

Perpendicular or opposite side= 4

Using Trigonometric ratio

tan 30 = Opposite side / Adjacent side

Substituting Opposite side= 4 and Adjacent side = 4 in above ratio

So, tan 30 = 4 / x

As, the value of tan 30 = [tex]\dfrac{1}{\sqrt 3}[/tex] then

tan 30 = 4 / x

[tex]\dfrac{1}{\sqrt 3}[/tex]  = [tex]\dfrac{4}{x}[/tex]

solving for x

x = [tex]{4}{\sqrt 3}[/tex]

Thus, the value of x is [tex]{4}{\sqrt 3}[/tex].

Learn more about Trigonometric ratio here:

https://brainly.com/question/29156330

#SPJ6

Consider this composite figure made of a cone and a cylinder. a cone has a height of 8 centimeters and radius of 3 centimeters. a cylinder has a height of 7 centimeters and radius of 3 centimeters. what is the volume of the cone? cone v = 1 3 bh v = 1 3 πr2h v = 1 3 π32(8) v = 1 3 π(9)(8) v = 1 3 π(72) the cone has a volume of π cm3

Answers

The volume of the cone with a radius of 3 cm and height of 8 cm is 24 π cm³. Then the correct option is D.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Consider this composite figure made of a cone and a cylinder.

A cone has a height of 8 centimeters and a radius of 3 centimeters.

A cylinder has a height of 7 centimeters and a radius of 3 centimeters.

Then the volume of the cone will be

We know that the volume of the cone

[tex]\rm Volume = \dfrac{1}{3} \pi r^2 h[/tex]

Then we have

[tex]\rm Volume = \dfrac{1}{3} \ \pi \ 3^2 *8\\\\\rm Volume = \dfrac{1}{3} \ \pi *9*7\\\\\rm Volume = \dfrac{1}{3} \ \pi \ 72\\\\Volume = 24 \ \pi[/tex]

More about the geometry link is given below.

https://brainly.com/question/7558603

Answer:

24

Step-by-step explanation:

Got it right on the question

A flower-delivery service charges $39.95 per flower arrangement and $2.99 for delivery. The total cost y is represented by the function y=39.95x+2.99 , where x is the number of flower arrangements.
Which of the following sets of numbers would be appropriate input values for the given situation? Select all that apply.
A) Integer
B) Only Zero
C) Whole Number
D) Rational Number
E) Positive Integer
F) Negative Number

Answers

Answer:

D

Step-by-step explanation:

Out of those choices, only a rational number is going to work. There are too many decimals in the given equation to give an integer, zero, a whole number or a minus number.

D

Please help with my math thank you for all that helped!---------------NO LINKS AT ALL

Answers

Answer:

1a) 9+9+9+9=36

b) 9×9=81. Hope this helped

……………………868685758584984444

Answers

???444489485857586868........................

Answer: 86868575854984444  121213435457642222

Step-by-step explanation:

PLEASE HELP I HAVE A TEST TOMORROW

Answers

Answer:

a = 12

Step-by-step explanation:

Pythagorean Theorem: A^2 + B^2 = c^2

9^2 + b^2 = 15^2

81 + b^2 = 225

225 - 81 = 144

[tex]\sqrt{144}[/tex] = 12

Have an amazing day!!

Good luck on your test!!

Please rate and mark brainliest!!

Step-by-step explanation:

use the picture as reference and solve accordingly

best of luck for your test

What happened to rectangle A to become rectangle B in the diagram below?

dilated and then translated
dilated and then rotated 270°
dilated and then reflected
dilated and then rotated 90°

Answers

Answer:  Dilated and then translated

Step-by-step explanation:

Answer:

dilated and then translated

Step-by-step explanation:

Rectangle A has been enlarged (dilated) and then translated up and to the right.

Solve the system of equations with substitution or elimination method. please help 2x+y=4 and 6x+7y=12

Answers

Answer:

x=2-y/2

y=12/7-6x/7

Step-by-step explanation:

I solved using elimination, multiplying the first equation by -3. My work is shown in the attached image.
x=2
y=0

(2x) (x-1)(x-4)=40 pls simplify

Answers

Answer:

x = 5

Step-by-step explanation:

Find the value of each variable. 22, 30, x.
x=
y=
(Simplify your answers. Type exact answers, using radicals as needed. ​
please hurry for fifty points!

Answers

Answer:

11 and 11 root 3

This is because it is a 30 60 90 triangle, making it x, x root 3, and 2x.

Answer:

x = 11, y = 19.05

Step-by-step explanation:

sin 30 = x/22
22*sin 30 = x

22*0.5 = x
11 = x

tan 30 = 11/y
0.577350269 = 11/y
y = 11/0.577350269
y = 19.0525589
y= 19.05

Hope this helps :)

Which inequality does the graph represent?

Answers

Answer:

The answer is

x < -1

Step-by-step explanation:

I hope it helps!

Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to compare the ratios. Finally make sure to answer how the ratios compare.

Answers

Answer:

5/8 is smaller.

Step-by-step explanation:

A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777

Then to compare them you see which is smaller or bigger.

0.77777  is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.

Please help I'm giving 40 points.

Answers

Answer:

Please see explanation

Step-by-step explanation:

look at the photo

) There are 8 children in Sophie's preschool class. During free time yesterday, 1 of them
chose to read books. What is the experimental probability that a randomly selected
preschooler would choose to read books today?

Answers

Using it's concept, it is found that there is a 0.125 = 12.5% experimental probability that a randomly selected preschooler would choose to read books today.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these numbers of outcomes are taken from previous trials.

In this problem, in the previous trial, one out of eight students read a book, hence:

p = 1/8 = 0.125 = 12.5%.

There is a 0.125 = 12.5% experimental probability that a randomly selected preschooler would choose to read books today.

More can be learned about probabilities at https://brainly.com/question/14398287

Question: The lengths of the diagonals of a rhombus are 5 inches and 8 inches. What are the interior angle measures of the rhombus?

How you must answer:

- Sketch - draw the sketch:
- Known:
-Unknown:
-Rationale:
-Exquation and expression:


Steps:
- Include a sketch
-State the Known
-State the Unkown and represent with a variable
-Provide a rationale
-Include the equation, exact answer, and decimal approximation

Answers

Answer:

The interior angles are approximately 64.02 degrees and approximately 115.98 degrees

The drawing is below.

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

Explanation:

A rhombus always has perpendicular diagonals. The two diagonals form four identical (aka congruent) right triangles as the figure shows below.

Notice how I've marked x and y as the unknown acute angle measures. Also, the two diagonals divide each other in half. The 8 splits into 4+4 and the 5 splits into 2.5+2.5

----------------------

Focus on one of the right triangles (they're all identical so it doesn't matter which you go for). We can use the tangent ratio to help determine  the value of x.

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{x}) = \frac{2.5}{4}\\\\\tan(\text{x}) = 0.625\\\\\text{x} = \tan^{-1}(0.625)\\\\\text{x} \approx 32.005383^{\circ}\\\\\text{x} \approx 32.01^{\circ}\\\\[/tex]

Angle x is roughly 32.01 degrees.

Make sure your calculator is in degree mode.

---------------------

Similar steps can be done to find the value of y.

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{y}) = \frac{4}{2.5}\\\\\tan(\text{y}) = 1.6\\\\\text{y} = \tan^{-1}(1.6)\\\\\text{y} \approx 57.994617^{\circ}\\\\\text{y} \approx 57.99^{\circ}\\\\[/tex]

Or you could use the value of x to compute y like this

x+y = 90

y = 90 - x

y = 90 - 32.005383

y = 57.994617

y = 57.99

---------------------

Once we figure out x and y, it's simply a matter of doubling those values to get the interior angles of the rhombus. This is because we have the x angles next to each other to form two of the interior angles. So we have x+x = 2x = 2*32.01 = 64.02 degrees as one interior angle of the rhombus. The value is approximate.

The other interior angle is roughly y+y = 2y = 2*57.99 = 115.98 degrees

Notice how 2x+2y = 64.02+115.98 = 180

For any rhombus, the adjacent angles are supplementary (they add to 180 degrees).

For a ride on a rental scooter, Felipe paid a $2 fee to start the scooter plus 12 cents per minute of the ride. The total bill for Felipes ride was $22.28. For how many minutes did Felipe ride the scooter?

Answers

Answer:

169 minutes

Step-by-step explanation:

First, deduct the fee:

22.28 - 2 = 20.28

Change the dollars into cents:

20.28 x 100 = 2028

Then divide the amount by 12 cents:

2028 / 12 = 169.

He rode it for 169 minutes or 2 hours and 49 minutes

Write the following expression using an exponent.
1x(4.5)x(4.5)x(4.5)x(4.5)x(4.5)=

Answers

Answer:

4.5^5

Step-by-step explanation:

Answer:

(4.5)^5

Step-by-step explanation:

Which scatterplot represents the data that would be best modeled by a quadratic function?

Answers

A scatter plot uses dots to represent values for two different numeric variables and determine whether or not two variables have a relationship or correlation.

What is a scatterplot?

Your information is incomplete. Therefore, an overview of the scatterplot will be given. A scatterplot simply means is a type of plot using Cartesian coordinates to display values for two variables for a set of data.

In this case, a scatter plot uses dots to represent values for two different numeric variables and determine whether or not two variables have a relationship or correlation.

The position of each dot on the horizontal and vertical axis shows the values for an individual data point.

Learn more about scatterplot on:

https://brainly.com/question/6592115

A map shows a scale of 5cm = 40 miles. The distance from Los Angeles,
CA to San Francisco, CA is 400 miles. How far apart will the two cities be
on the map?
OA) 0.5 cm
OB) 5 cm
O C) 50 cm
OD 500 cm

Answers

Answer:

C

Step-by-step explanation:

It's 50 cm for sure

Answer:

C

Step-by-step explanation:

It's 50 cm for sure

Use the table to identify values of p and q that can be used to factor
x2 + x - 12 as (x + p)(x+ 9).
i need answer asapp!!!
will mark brainliest!!!!

Answers

For this case we have the following polynomial:

x2 + x - 12

Factoring we have:

(x-3) (x + 4)

We note that the polynomial is written as:

(x + p) (x + q)

Thus,

p = -3

q = 4

Answer:

The values of p and q that can be used to factor x2 + x - 12 as (x + p) (x + q) are:

C. -3 and 4

Have a nice day ‍

need some help with this question in the image ​

Answers

Answer:

1a. first 7×9=63 Then substracting 16 we get 47 and 2-47= -45

Answer:

a.  - 77

b. 4

c. 5x-14

d. 14

Step-by-step explanation:

a. 2-(7*9)-16

=> 2-63-16

=>(-61) - 16

=> -77

b.64 / 4+(3*4)

=> 64 /  4+12

=> 64 / 16

=> 4

c. 3x+2(x-7)

=> 3x+2x - 14

=> 5x-14

d. 5 + 6^2/ 4

=> 5+ 36/4

=> 5+9

=> 14

so it's got like money before and after and it has indepent and dependent variable ​

Answers

Answer:

The dependent variable is the amount of money you earn because the amount of money you earn depends on how many chores you do.

Suppose that John wants to calculate a 96% confidence interval for a population mean from a sample of
size n = 15. What is the appropriate critical value t*?
a. 2.145
c. 2.264
b. 2.249
d. 2.054

Answers

Answer:

A I believe try A that should be it




50°
What is the value of x?

Answers

Answer:

65

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

one of the angle is given as 50 degrees so:

50 + x + x = 180

50 + 2x = 180 subtract 50 from both sides

2x = 130 divide both sides by 2

x = 65

Plss help i need this asap
(will give brainliest)
(this is not from a test)

Answers

Answer:

90

Step-by-step explanation:

im not sure but im pretty sure it would be 90 dont come at me if it not:(

Answer:

360°/3=120°

 which is the size of each exterior angle.

Step-by-step explanation:

An equilateral triangle has 3 lines of symmetry, but of more importance in this case, it has rotational symmetry of order 3. This means that in a rotation of 360° the same image appears 3 times.

360°/3=120°   which is the size of each exterior angle.

The triangle rotates through the exterior angle so that the next vertex can be in the same position as the previous one.

IN the same way, a square will rotate through 360/4=90°

A pentagon will rotate through 360/5=72°

for the figure to map onto itself.

9
There were 2,500 sales at a grocery store
in one day. Of these sales, 50% happened
before noon, 15% happened between
noon and 4 PM, and the rest happened
after 4 PM.
How many sales happened after 4 PM?
A 875
B 375
C 450
D 625

Answers

Answer:

The answer is 875.

Step-by-step explanation:

Based on the given conditions, formulate: 2500x(1-15%-50%)

Calculate the sum or difference: 2500x(0.85-0.5)

Calculate the sum or difference: 2500xx0.35

Calculate the product or quotient: 875

get the result: 875

Answer: 875

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