What is the volume of the following rectangular prism?

What Is The Volume Of The Following Rectangular Prism?

Answers

Answer 1
Answer: 33 cubic units

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

Explanation:

Convert the mixed number 3 & 2/3 to an improper fraction

3 & 2/3 = 3 + 2/3

3 & 2/3 = 9/3 + 2/3

3 & 2/3 = (9+2)/3

3 & 2/3 = 11/3

The prism has a base area of 9 square units and a height of 11/3 units.

Multiply the base area by the height to get the volume

volume = (base area)*(height)

volume = (9)*(11/3)

volume = 99/3

volume = 33 cubic units

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

You could choose to not convert to an improper fraction, and your steps may look like this

volume = (base area)*(height)

volume = (9)*(3 + 2/3)

volume = 9*3 + 9*(2/3) .... distribute

volume = 27 + 18/3

volume = 27 + 6

volume = 33 cubic units

Either way we get the same volume.

Answer 2
The answer is 33 units cubed.

Related Questions

Karolyn is arranging her art project, science project, and math project on her desk. The tree diagram below shows the sample space.

A tree diagram is shown. The first three choices are art, science, and math. From art, one branch is math, science and the other branch is science, math. From science, one branch is art, math and the other branch is math, art. From math, one branch is art, science and the other branch is science, art.

Based on the tree diagram, what is the probability that the science project is first?

one over six
three over six
four over six
two over six

Answers

Answer:

I believe it might be 2over 6

Step-by-step explanation:

my guess but it might be wrong or right i dont know

2/6 on the first branches as there are only three options so there is only a 1 in three chance of getting science and 2/6 equals 1/3

Once you have completed the above problems and checked your solutions, complete

Answers

the above photos is the solution

69

Sorry if I’m wrong I tried my best. God bless u

Choose the function whose graph is given by

Answers

C)

Because if you choose some points for example x = 0 and x = 3.14 (≈ pi)

you will see that there's only one match.

Answer:

Option C. y = cos x -2

Step-by-step explanation:

Drag the tiles to the correct boxes to complete the pairs.
The tables show proportional relationships between x and y. Match each table with its constant of proportionality.
ху
ху
ху
ху
1 10
4 20
215
1
4
2 20
8 40
430
2
8
330
12 60
645
312
4
15

Answers

Answer:

can you send a picture please? i have no clue how to answer this. it seems confusing with the numbers


what is the questions .......

What is the value of r in the equation?
-1.5(4-r)=-12
0 -6
-4
4
06

Answers

Answer:

r = -4

Step-by-step explanation: I hope it helps :)

[tex]-1.5(4-r)=-12\\\\\mathrm{Multiply\:both\:sides\:by\:}10\\\\-1.5\left(4-r\right)\cdot \:10=-12\cdot \:10\\\\= -15\left(4-r\right)=-120\\\\\mathrm{Divide\:both\:sides\:by\:}-15\\\\\frac{-15\left(4-r\right)}{-15}=\frac{-120}{-15}\\\\4-r=8\\\\\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}\\\\4-r-4=8-4\\\\-r=4\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\\\\frac{-r}{-1}=\frac{4}{-1}\\\\r=-4[/tex]

Answer:

r = -4

Step-by-step explanation:

-1.5(4-r)=-12

Divide each side by -1.5

-1.5/-1.5(4-r)=-12/-1.5

(4-r)=8

Subtract 4 from each side

4-r-4 = 8-4

-r = 4

Divide each side by -1

r = -4

write the fraction for each of the following do number 3 and 4 thanks

Answers

Answer:

7

Step-by-step explanation:

The answer the answer is 7 guys

Math is not my strong point..

Answers:
20in
16in
18in

Would also appreciate an explanation if possible, so I can understand myself. But it’s alright if it’s not provided.

Answers

Answer: 16 in

Explanation:

PQ/QR = PT/TS

PQ/4 = 12/3
PQ x 3 = 12 x 4 (cross multiply)
PQ x 3 = 48
PQ = 48/3
PQ = 16
The answer is going to be 16in

In January 2008, the temperature in parts of Minnesota fell from 48 F degrees to -12 F degrees over a 24 hour period. What was the average temperature change per hour?

Answers

Answer:

The average temperature per hour:

-2.5 °F

Step-by-step explanation:

(-12-48) / 24 =  -60/24

-60/24 = -2.5

In average decrease:

2.5°F

per hour

need help with these questions!!! please explain bc I don't really get it!

Answers

Answer:

1. b.  2. a.  3. a.

Step-by-step explanation:

1. (f + g)x = f(x) + g(x)

= x^2 + 2x + 4

(f + g)(-1) =  (f + g)(x)  where x = 1 so it is

(-1)^2 + 2(-1) + 4

=  1 - 2 + 4

= 3.

2.  We find (f o g)(x) by replacing the x in f(x) by g(x):

= √(x + 1) and

(f o g)(3) =  √(3 + 1)

= √4

= 2.

3. (f/g) c  = f(x) / g(x)

= (x - 3)/(x + 1)

The domain is the values of x which give real values of (f/g).

x cannot be - 1 because the denominator x + 1 = -1+1 = 0 and dividing by zero is undefined. So x can be all real values of x except x = -1.

The domain is (-∞, -1) U (-1, ∞)

B, A, A.
Hope this helps!

please help real quick ​

Answers

Divide total km by the km in the scale:

112 / 16 = 7

The answer is A. 7 cm

Answer:

7 cm

Step-by-step explanation:

1 cm : 16 km   :: x cm : 112 km

Product of mean = Product of extreme

16 * x = 1 * 112

x =[tex]\frac{112}{16}[/tex]

x = 7cm

Plz help I’ll mark brainliest

Answers

Answer:

x = 22.62°

Step-by-step explanation:

To find the measure of angle x we use cosine

[tex] \cos( \alpha ) = \frac{adjacent}{hypotenuse} [/tex]

From the question

PO is the hypotenuse = 13

The adjacent is 12

Substitute the values into the above formula

That's

[tex] \cos(x) = \frac{12}{13} [/tex]

[tex]x = \cos^{ - 1} ( \frac{12}{13} ) [/tex]

x = 22.6198

We have the final answer as

x = 22.62° to the nearest hundredth

Hope this helps you

Answer:

Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle. If you are working with equilateral triangles, divide 180 by three to find the value of X. All of the angles of an equilateral triangle are equal.

Step-by-step explanation:

help me plz can somewon help me

Answers

Answer:

4*10^6

Step-by-step explanation:

Answer:

4 × 10^6

Step-by-step explanation:

[tex]\frac{8\times 10^2^4}{2\times 10^1^8}=\\\\\mathrm{Divide\:the\:numbers:}\:\frac{8}{2}=4\\\\=\frac{10^{24}\times \:4}{10^{18}}\\\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{10^{24}}{10^{18}}=10^{24-18}\\\\=4\times \:10^{24-18}\\\\\mathrm{Subtract\:the\:numbers:}\:24-18=6\\\\=10^6\times \:4\\\\10^6=1000000\\\\=1000000\times \:4\\\\=4000000\\\\= 4\times10^6[/tex]

find the perimeter and area of the shaded region.

Answers

Answer:

Area=576 cm²

Perimeter=123.4 cm

Step-by-step explanation:

We have to assume that ABCD would form a square and not a rectangle.  If so, the area is simple:  24x24=576 (Just picture the half circle sliding into the empty space - it’s the same area.)

For the perimeter, we find it for the half circle first. 1/2(2)[tex]\pi[/tex](12)=37.7

Then add the top and bottom (24 and 24) to the left and right (37.7 And 37.7)

24+24+37.7+37.7=123.4

perimeter = 48
all of the sides are even, if you bring the shaded half circle back to it’s original place it will give you a length of 24 and a width of 24.

C) look at the scale factor for parts a and b. do they represent a reduction or enlargement of the empire state building? How do you know?

Answers

Answer:

Enlargement

Step-by-step explanation

It is enlargement, because it went up by three. Instead of reducing.

We cannot tell the result because the actual size of blocks used for modelling the Empire State Building is not known.

How are scale construction formed?

For a particular scaled construct, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]

All feet measurements will then be multiplied by s/k to get the corresponding lengths in the constructed scaled structure.

For case a) or b), we used the scale factors as:

1 block : x feet, where x was either 2 or 5 feet.

But we are not specified what size is of the block which is used to model the building.

It may be that block is greater than x feet, or may be smaller. This will decide whether there is enlargement or reduction of the actual building, respectively.

Thus, we cannot tell the result because the actual size of blocks used for modelling the Empire State Building is not known.

Learn more about scale factors here :

https://brainly.com/question/8765466

Please help! I will give brainly

Answers

15x12=180
180$ simple unless u have a different way to do it

Answer:

y=15x+25, the cost is 205 dollars

Step-by-step explanation:

The simplest way to write a rule for this is to write it in slope intercept form, y=mx+b. Let y represent the cost of the membership. Every month the cost is 15 dollars. If we let x represent the months we can rewrite this as 15x. The one time cost is 25 dollars so we can just add that to the end of the equation. y=15x+25. There are 12 months in a year so we just have to substitute. y=15(20)+25=205 so the answer is 205 dollars.

Steve buys a wallet that costs $35.00. He pays 10% sales tax. How much does he pay for the wallet with tax?

A. $48.50
B. $38.50
C. $18.50
D. $45.50

Answers

Answer:

B. $38.50

Step-by-step explanation:

The original price of item (before tax) is 100% of the price of the item since 100% means the whole amount.

The tax is 10% of the original price, so add 10% to 100% making it 110%.

The total price including tax is 110% of the original price.

We need to find 110% of $35.00.

To find a percent of a number, multiply the percent by the number.

110% of $35.00 = 110% * $35.00

Change the percent to a decimal by moving the decimal point two places to the left.

110% becomes 1.10 as a decimal

110% of $35.00 = 110% * $35.00 = 1.10 * $35.00 = $38.50

Answer: B. $38.50

B, because you take the 10% and you turn the percent into the decimal by move it to the right two times so then it will look like this .10 after you take that and divide by 35 which will give you $3.50 which is the tax and then you add that to your amount and you have $38.50

Annie tried to solve a problem step by step: 7.5 + k = 10 7.5 + k - 7.5 = 10 - 7.5 step 1 k = 2.5 step 2 Find Annie's mistake: A. Step 1 B. Step 2 C. Annie did not make a mistake

Answers

Answer:

(C) Annie did not make a mistake

Step-by-step explanation:

To isolate the variable k in the equation [tex]7.5 + k = 10[/tex], we'd have to subtract 7.5 from both sides so we just had k on one side.

This is exactly what Annie did, and therefore, her answer is correct.

Hope this helped!

Answer:

C. Annie did not make a mistake

Step-by-step explanation:

Substitute 2.5 for k in the equation and see if it is correct

Each time you substitute you should see that Annie answered the equation correctly

In triangle GHI, GH= 2cm
please do 3 and 4

Answers

Answer:

Tan D = 7 / 4

Sin D = 7 / 8.1

Cos D = 4 / 8.1

IG = 4.95 Cm

Step-by-step explanation:

In question number 3

Tan D = Perpendicular / Base

Tan D = 7 / 4

Sin D = Perpendicular / hypotenuse

Sin D = 7 / 8.1

Cos D = Base / hypotenuse

Cos D = 4 / 8.1

In question number 4

Tan 68° = IG / GH

2.475 = IG / 2

IG = 4.95 Cm

Help
Find the lateral area of this cone.
Round to the nearest tenth.

Answers

Answer:

233.5 in²

Step-by-step explanation:

First we have to find the slant height.

5²+14²=c²

25+196=c²

221=c²

c=14.866

Now we can find the lateral area.

[tex]\pi[/tex]rl

[tex]\pi[/tex](5)(14.866)

=233.51566

To the nearest tenth=

233.5 in²

233.5 I just guessed but I’m sure that’s is it

HELP PLEASE ASAP. A video rental store keeps a list of their top 15 movie rentals each week. This week the list includes 6 action,
4 comedies, 3 dramas, and 2 mysteries. The store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to
show on the display monitors in the store. What is the probability that she selected 2 comedies and 1 action movie? EXPLAIN how the probability would
change if two more comedy movies were added to the list in place of the 2 mystery movies.

NOT SURE THE ANSWER IN THE PIC.

Answers

Answer:

the one selected, the one on top

Step-by-step explanation:

The answer is the first one.

Consider that ALMN is similar to APQR and the measure of ZP is 80°. What is the measure of 2L?
A) 20
B) 70
C) 80
D) 90

Answers

Answer:

80°

Step-by-step explanation:

as ALMN is similar to APQR thus L and P are similar too.measure of ZP =80° i.e. 80 ÷2 = 40° for each Z and P.now P =40° (so L =40° ) , then 2L = 2 × 40° = 80°
the answer is c good luck

Find the distance between (4.9) and (5, 12)

Answers

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

[tex]\sqrt{(x_{2} - x_{1}) ^ {2} + (y_{2} - y_{1}) ^ {2}}[/tex]

[tex]\sqrt{(5-4) ^ {2} + (12 - 9) ^ {2}} = \sqrt{1^{2}+3^{2}} = \sqrt{10}[/tex]

The answer is the last one.

Find the measure of b.

Answers

Answer:

measure A is half 110

measure B is (180-A)

so A is 55 , and B is 125

Answer:

measure A is half 110

measure B is (180-A)

so A is 55 , and B is 125

Step-by-step explanation:

Given quad overline{PQ}\perp\overline PQ ⊥ PS start overline, P, Q, end overline, \perp, start overline, P, S, end overline \qquad m \angle QPR = 7x - 9^\circm∠QPR=7x−9 ∘ m, angle, Q, P, R, equals, 7, x, minus, 9, degrees \qquad m \angle RPS = 4x + 22^\circm∠RPS=4x+22 ∘ m, angle, R, P, S, equals, 4, x, plus, 22, degrees Find m\angle QPRm∠QPRm, angle, Q, P, R: Solve for PQR and x. PLZ HELP

Answers

Answer: Khan Academy 2020! The answer is 40!

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

The vertex formation of a parabola is x = 8(y- 1)2-76.
What is the standard form of the equation?

Answers

Answer:

[tex]\boxed{x=8y^2-16y-68}[/tex]

Step-by-step explanation:

Hello, please consider the following.

[tex]x=8(y- 1)^2-76\\\\x=8(y^2-2y+1)-76\\\\x=8y^2-16y+8-76\\\\\boxed{x=8y^2-16y-68}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The answer to this question is x = 8y^2 - 16y -68

Given that,
[tex] lg \: 534.9 = 2.7287 \\[/tex]
Find the value of,
[tex]lg \: 5.349 = ............[/tex]

Need explanation.
will give the brainliest
pls answer correctly.​

Answers

Answer:

[tex] 0.7287[/tex]

Step-by-step explanation:

Let $534.9=a$

Thus, given:

$\log a=2.7287$

Hence:

$\log \Big( \frac{a}{100}\Big)=\log a- \log 100$

$\implies \log \Big( \frac{a}{100}\Big)=2.7287-2=0.7287$

Thanks man I gave my brother this question if he solved it he could get the ps4 but it was soo hard that he quit

PLS HELP ME WITH THIS QUESTION, ANYTHING REALLY HELPSS!!!!

Answers

Answer:

x = 75

Step-by-step explanation:

FGE is a straight line so it equals 180 degrees

FGA + AGC + CGE = FGE

x + 90 + 15 = 180

Combine like terms

x+ 105 = 180

Subtract 105 from each side

x = 180-105

x = 75

Answer:

x = 75º

Step-by-step explanation:

The Vertical Angle Theorem shows that:

∠CGE ≅ ∠DGF

So:

∠DGF = 15º

∠AGD = 90º

90º - 15º = 75º

x = 75º

Please help me! I will give brainly

Answers

Answer:

Multiply the amount of money that Newton saves by 3 to find the amount of money that Descartes saves.

Descartes's savings after 9 weeks is $108

Answer is 48……hope it helps;)

Can someone please help me please and thanks.

Answers

Answer:

The probability of 3 students having blood type A is 1.23 , having blood type B is 0.3 and having blood type AB is 0.12

Step-by-step explanation:

A is 1.23 B is .3 AB is .12

Valeria bought a 9-foot length of ribbon from which she wants to cut 3-foot pieces. How many pieces can she cut? What will be the length of the leftover piece of ribbon?
help plz​

Answers

Answer:

She can cut 3 pieces of ribbon.

None will be left over.

She will have 3 pieces and no left over ribbon

9/3 = 3 with no remainder/leftover
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