Calculate the volume of this prism

Calculate The Volume Of This Prism

Answers

Answer 1

Answer:

  800 cm³

Step-by-step explanation:

The volume is the product of the base area and the "height" of the prism. Here, the base can be considered to be a 10 cm × 12 cm rectangle with a 4 cm × 5 cm cutout. Its area will be ...

  A = (10 cm)(12 cm) -(4 cm)(5 cm) = 120 cm² -20 cm² = 100 cm²

The product of this base area and the 8 cm height of the prism is ...

  V = Bh = (100 cm²)(8 cm) = 800 cm³

The volume of the prism is 800 cm³.


Related Questions

y=5x² – 1

Please answer I need asap thank you!!

Answers

Answer:

Step-by-step explanation:

what is the average speed of a runner who covers 5 kilometres in 25 minutes

Answers

Answer:

1/5 kilometers per minute

Step-by-step explanation:

in 25 minutes 5 kilometers are covered

divide both by 25 to get the amount of kilometers per minute

25 / 25 = 1

5 / 25 = 1/5

this means that the rate in which the runner is going is 1/5 kilometers per minute

What is the equation of the vertical asymptote for the graph below? y=1/x−2

Answers

very cheap answer

vertical asymptoes occur when the denominator turns to zero, in this case we know the denominator is x - 2, so let's zero it out, by x - 2 = 0, thus x = 2, that's the equation of the vertical asymptote, or namely, the vertical line of x = 2 marks the line where the graph glides over but never touches it.

The table below shows how many gumballs of each color there are in a gumball machine.



Juan is going to buy one gumball, and the gumball is selected at random. What is the
approximate probability that Juan gets a yellow gumball?

A) 0.05

B) 0.06

C) 0.17

D) 0.20


Please explain how you get the answer so I could learn because yt videos don’t help and I don’t want to be a burden to my parents by asking them to help

Answers

By taking the quotient between the number of yellow gumballs and the total number of gumballs, we will see that the probability is:

p = 0.17, so the correct option is C.

How to get the probability?

If we assume that all the gumballs have the same probability of being selected by the machine, then the probability of getting a yellow gumball is given by the quotient between the number of yellow gumballs and the total number of gumballs.

There are 74 yellow gumballs.There are 86 + 74 + 103+ 94 +89 = 446 gumballs in the machine.

So the probability of getting a yellow one is:

p = 74/446 = 0.17

The correct option is C.

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

needs help answering

Answers

Answer:

26

Step-by-step explanation:

the answer is 26

Si la suma de los ángulos interiores de un polígono es 2160
, ¿cuántos lados tiene el polígono?

Answers

Answer:

14

Step-by-step explanation:

El número de lados del polígono es 14.

how many times does 150 go into 3000

Answers

Answer:

20

Step-by-step explanation:

x × 150 = 3000

x = 3000 ÷ 150x = 20

many times does 150 go into 3000 is 20

3000/150=20

20 times does 150 go in 3000

Lightning flashes every 15 seconds one rainy night. How many times would it flash in 3 minutes? *​

Answers

Well if one minute is 60 seconds then 60x3 is 180. Then I would divide 180 by 15 and that would equal 12. It would flash 12 times in 3 minutes.

12 times in 3 minutes

Lightning flashes every 15 seconds and there’s four 15 seconds in one minute. So in a minute lightning strikes 4 times then you multiply the 4 times 3 minutes and you get 12.

What is the volume of this cylinder?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

2712.96 yd

Step-by-step explanation:

v (volume) = π[tex]r^{2}[/tex]h

v = 3.14 x [tex]12^{2}[/tex] x 6

v = 3.14 x 144 x 6

v = 2712.96

a car passes through the point (1,3)..it's gradient=2x-1/x². Find the equation of the line​

Answers

Answer:

y = -1/2x - 3

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Determine known variables

Slope = -1/2 (m = -1/2)

y-intercept - (0, -3), so b = -3

Step 2: Write in known variables

y = -1/2x - 3

can somone help me out i am kinda stressed

Answers

Answer:  4   1/2

Step-by-step explanation:

Adding all the fractions you get 4 1/2

Help please! This is an assignment!

Answers

Answer: Answer: l = s/n – r2

Does anyone know the answer

Answers

Answer:

A. (8, -6)

Step-by-step explanation:

Firstly, you want to get those two expressions to be in y-intercept form. (y=mx+b)

Then you want to Desmo Graphing Calculator and submit the two equations.

Therefore 15x+8y=72 and x-8y=56 intersect at (8, -6)

The function below show the amount of money Bella and sweet T had saved after earning money from doing chores

Answers

Answer:

Bella saves more per chore than sweet T

Step-by-step explanation:

24) area= 16 pi inches squared

Find the circumference

It doesn't give any pictures​

Answers

Answer:

8π in

Step-by-step explanation:

The Area of a Circle is πr². In this case, we're given the area as 16π, so the radius is 4 because the square root of 16 is 4.

The Circumference of a Circle is 2πr. Since the radius is 4:

[tex]2*4 * \pi[/tex] [tex]8\pi[/tex]

Therefore, the circumference is 8π inches.

Which graph represents the compound inequality?

–3 < n < 1

Answers

Answer:

theres no graph

Step-by-step explanation:

Answer:

open circle, -3 & 1

( option C )

Three times certain number increased by four is equal to
16. Find the number.

Answers

Answer:

4

Step-by-step explanation:

(4 X 3) + 4 = 16

What are the measures of angles 1,2, and 3?

Answers

Answer:

[tex]m\angle 1=50\degree[/tex]

[tex]m\angle 2=70\degree[/tex]

[tex]m\angle 3=50\degree[/tex]

Step-by-step explanation:

[tex]m \angle \: 1 = 180 \degree - (60 \degree + 70 \degree) \\ (by \: angle \: sum \: property \: of \: a \: \triangle) \\ \implies \: m \angle \: 1 = 180 \degree - 130 \degree \\ \\ \implies \: \huge \red{ m \angle \: 1 = 50 \degree} \\ \\ \huge \purple{ m \angle \: 2 = 70 \degree } \\ (alternate \: \angle s) \\ \\ m \angle \: 3 =m \angle \: 1 \\ (alternate \: \angle s) \\ \\ \implies \: \huge \orange{ m \angle \: 3 = 50 \degree}[/tex]


Dennis drove for 12 minutes and went 8% miles in that time. At this rate, how many miles can he drive in 1 hour?

Answers

im pretty sure it’s 45 mph

Solve the following system of equations graphically on the set of axes below.
y = 2x – 1
x + 3y = 18

Answers

Answer:

  (x, y) = (3, 5)

Step-by-step explanation:

To solve these equations graphically, you plot each one, then identify the coordinates of the point of intersection.

The first equation can be graphed using the y-intercept of -1 and the slope of 2.

The second equation has a y-intercept of 18/3 = 6, and a slope of -1/3. The x-intercept of 18 is off the chart, so the slope and intercept are a good way to plot this line, too.

__

The slope is the "rise" divided by the "run". A slope of 2 means the line goes up 2 units for each unit to the right. A slope of -1/3 means the line goes down 1 unit for each 3 units to the right.

The solution is (x, y) = (3, 5).

Brian pays £466. 98 a year on his car insurance. The insurance company increases the price by 3. 2%. How much does the insurance cost now?Give your answer rounded to 2 DP

Answers

Answer:

481.92

Step-by-step explanation:

3.2÷100×466,98=

14,94

then add

466.98 +14.94

481.92

Please help ^^
Homework dued in 10min

Answers

Answer:

[tex]\sf x^3+6x^2+12x+8[/tex]

step-by-step explanation:

[tex]\rightarrow \sf \left(x+2\right)^3[/tex]

apply cubic formula:  [tex]\bold{ \left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3}[/tex]

[tex]\rightarrow \sf x^3+3x^2 * \:2+3x * \:2^2+2^3[/tex]

[tex]\rightarrow \sf x^3+6x^2+12x+8[/tex]

Help please i need the answer

Answers

Step-by-step explanation:

but ... you had already correctly answered the first part.

L² + W² = d²

Pythagoras ...

all you needed to do now was do the calculations. no "brainware" needed ...

30² + 10² = d²

900 + 100 = d²

1000 = d²

d = 31.6227766... ≈ 31.6 units


At White's Whimsical Wands, there are 2 types of wand-making machines. Machine A can
produce 60 wands per day and Machine B can produce 35 wands per day. Every day, White's
Whimsical Wands manufactures 850 wands using a total of 20 machines. Select two equations
below that could be used to determine how many of Machine A and how many of Machine B
White's Whimsical Wands has. Let x represent the number of Machine A and let y represent
the number of Machine B

Answers

Answer:

See attached image

Step-by-step explanation:

Explained on image

3/4 x 3/4 in standard form

Answers

The answer is 9/16
You basically multiple the top and the bottom
For example 3 x 3 = 9. 4 x 4 = 16. Put them together and you will get 9/16

How does the reunion affect paolo’s parents and benjamin

Answers

Some of the factors that can make a reunion unhappy or bittersweet are:

Death of a mutual.Personal tragedies, etc.

What is Reunion?

This refers to the situation where two or more people meet each other again after a long time of being apart.

We can note that sometimes, a reunion is happy, other times, it is bittersweet or unhappy as either some good thing or unfortunate event has occurred during the period spent apart from each other.

Please note that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.

Read more about reunions here:

https://brainly.com/question/837647

Write an equation for the word sentence!!
- A number divided by 0. 5 is 29
Pls help me T-T

Answers

Answer:

[tex]\frac{x}{0.5} =29[/tex]

Step-by-step explanation:

A number, so x, is divided by, so a fraction, 0.5. So [tex]\frac{x}{0.5}[/tex]. Is, which means equals (=), 29. So [tex]\frac{x}{0.5} =29[/tex]

P.S. The answer is  x = 14.5

what is the answer please

Answers

Answer: You know what's the answer...... it is  159.32

Hope it helps :)

Need help on this question ASAP pleasee I’m going to really appreciate it (:

Answers

B I took the test bdbdbdhdbrududbf

I need help solving this problem I'm stuck on.

Answers

Answer:

S = -90t + 550

Step-by-step explanation:

First we must note a few key things the question tells us:

1. The tickets sell at a constant rate, thus implying a linear relationship.

2. Tickets start selling at 10

3. The independent variable (t) is in hours after 10

4. The number of tickets (S) is declining, thus we should expect a negative gradient.

5. The number of tickets is our dependent variable since it is reliant on time.

y = mx+c is our general linear expression which we will call "Eq 0"

Lets substitute our knowns into this to find m and c. We know that "t" is independent and that "S" is dependent on "t" therefore, we know that our x-axis will be representing values for "t" and that our y-axis will represent values for "S"

We must use simultaneous equations to find m and c

Eq 1: 550 = m(0) + c -> 550 = c

Eq 2: 280 = m(3) + c -> 280 = 3m + c

From Eq 1. we already know that our y intercept is at 550.

To find our gradient, we must substitute our known (550 being the y-intercept) into the next equation.

Thus,

280 = 3m + 550

To isolate our variable (m) we subtract both sides by 550

280 - 550 = 3m + 550 - 550

-270 = 3m

To finally find m, we divide both sides by 3

-270/3 = 3m/3

-90 = m

Now we substitue both our knows into Eq 0, note that our gradient (m) is negative as expected.

y = -90x + 550

Or, in terms of S and t

S = -90t + 550

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