A right prism has a volume of 65 cubic inches. The prism is enlarged so its height is increased by a factor of 20, but the other dimensions do not change. What is the new volume? A.1000 in .3 B.1300 in .3 C.1200 in. 3 D. 1100 in.3

Answers

Answer 1

Answer:

Volume of a right prism = 65 cubic inches

Its height is increased by a factor of 20.

To find:

The new volume of the prism if the other dimensions do not change.

Solution:

The volume of a prism is:

[tex]Volume=Bh[/tex]

Where, B is the base area and h is the height.

A right prism has a volume of 65 cubic inches.

[tex]65=Bh[/tex]

The height of prism is increased by a factor of 20. So, the new volume is:

[tex]Volume=B(20h)[/tex]

[tex]Volume=20(Bh)[/tex]

[tex]Volume=20(65)[/tex]

[tex]Volume=1300[/tex]

The volume of the new prism is 1300 in³.

Therefore, the correct option is B.


Related Questions

i can’t figure out the answer

Answers

Answer:

Pythagoras theorem

hypotenuse²=base²+height²

(24)²=base²+(9)²

576=base²+81

576-81=base²

494=base²

[tex] \sqrt{494} = base \\ 22.24 = base[/tex]

A car is stuck in a ditch. The car weighs 500kg. How much force will it take to take the car out of the ditch.

Answers

10000kg I hope this helps

PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!!

Answers

Answer:

B

Step-by-step explanation:

B is correct...

Given the polynomial find any actual rational roots
x^3+x^2+4x+4=0

Answers

https://brainly.com/question/7356967 the correct answer is there Part 1A:

Given

Part 1B:

Given

Using rational roots theorem, we can see that the possible roots of the the given equation are:

By substituting the possible roots, we can see that x = 1 is a root, thus x - 1 is a factor.

We can get the other factors by using sythetic division to divide  by x - 1.

Step-by-step explanation:

x^3+x^2+4x+4=0

x³+x²+4x=-4

x(x²+x+4)=-4

either

x=-4

or

x²+x+4=-4

x²+x+4+4=0

x²+x+8=0

comparing with ax² +bx+c

a=1

b=1

c=8

x={-1±√{1²-4×1×8}}/2×1

x={-1±√{-31}}/2

BRAINLISRST AND EXTRA POINTS I NEEDS I HELP

Determine the value of an
investment of $20,000 if it is invested
at an interest rate of 5.2%
compounded quarterly for 12 years.

Answers

Answer:

20,000x.052/12

Step-by-step explanation:

Ms. Nelson has 8 pounds of ground beef. She is making burgers that are ¼ pound each.

Answers

Answer:

she will make 32 burger patties.

One way:

8 x 4 = 32

the fraction will get reversed so it turns to 4.

Second way(basically the same as the first way):

8 divided by 1/4 = 8 x 4= 32

You just have to divide 8 by 1/4. The fraction gets reversed in divisions so it turns to 4.

Answer:

ok the answer is...

Step-by-step explanation:

32!!

the reason for this is because 1/4 + 1/4 + 1/4 + 1/4 = 4!

so do that again all over again 8 times and you have your answer.

The length of the base of an isosceles triangle is x. The length of a leg is 2x - 2. The perimeter of the triangle is 51. Find x.

Answers

Answer:

x = 11

Step-by-step explanation:

x + 2(2x-2) = 51

x + 4x - 4 = 51

5x - 4 = 51

5x = 55

x = 11

Answer:

x = 11

Step-by-step explanation:

2x - 2 + 2x - 2 + x = 51

5x - 4 = 51

5x = 55

x = 11

Please help me out, thank you! I'll be giving brainliest and five stars to the correct answer!
Find the lowest value of the set of data this box-and-whisker plot represents. (Look at the image)

16
12
15
13

Also, please put an explanation to your answer, thanks :)

Answers

Answer:

Step-by-step explanation:

The lowest value of the set of data in the boxplot is 12.

12 is the lowest as:

15 is the lower quartile.

16 is the median.

18 is the upper quartile.

20 is the highest value.

what is YR?
Question about chords

Answers

Answer:

_| R А H 0 Y K

Step-by-step explanation:

I looked it up... lol

Jack invested $2,900 in an account paying an interest rate of 8 % compounded
annually. Anthony invested $2,900 in an account paying an interest rate of 82%
compounded continuously. After 10 years, how much more money would Anthony
have in his account than Jack, to the nearest dollar?

Answers

Answer: $628

Step-by-step explanation:

Find the area of the smaller sector.
brainlest

Answers

Answer:

44.68 m²

Step-by-step explanation:

Area of a sector = θ/360*πr²

Where,

θ = 80°

r = 8 m

Plug in the values into the equation

Area of the sector = 80/360*π*8²

= 44.6804288 ≈ 44.68 m² (nearest hundredth)

The dot plot shows the number of flowers each science student was able to identify. A dot plot whose number line is labeled Number of flowers identified. There are 2 dots above 0, 4 dots above 1, 5 dots above 2, 7 dots above 3, 4 dots above 4, 3 dots above 5, 2 dots above 6, 1 dot above 7, 2 dots above 8, 1 dot above 9, 1 dot above 10, and 1 dot above 12. Select from the drop-down menus to correctly complete the statement. The distribution of data is skewed right , with a mode of Choose... , and a range of Choose... .

Answers

Answer:

The dot plot shows the number of flowers each science student was able to identify.

A dot plot whose number line is labeled Number of flowers identified. There are 2 dots above 0, 4 dots above 1, 5 dots above 2, 7 dots above 3, 4 dots above 4, 3 dots above 5, 2 dots above 6, 1 dot above 7, 2 dots above 8, 1 dot above 9, 1 dot above 10, and 1 dot above 12.

Select from the drop-down menus to correctly complete the statement.

The distribution of data is 1 "skewed right", with a mode of 2 "3", and a range of 3 "12".

Step-by-step explanation:

I took the test!

How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer. How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer.

Answers

Answer: See explanation

Step-by-step explanation:

The value of the digit 3 in the number 63,297 is 3,000 while the value of the digit 3 in the number 60,325 is 300.

The difference between value of the digit 3 in the number 63,297 and the value of the digit 3 in the number 60,325 will be:

= 3000 - 300

= 2700

Vertical lines have _________ slope.

Answers

Try drawing a vertical line on a graph
The line would be going straight but unmoving
Slope = rate of change

Vertical lines have undefined slope

If p=9 and q=30, evaluate the following expression:p−q/3​

Answers

Answer:

-1

Step-by-step explanation:

p = 9

q = 30

p - q/3

9 - 30/3

9 - 10

-1

Find y. Give your answer in the simplest form

Answers

Answer:

[tex] 3 \sqrt{3} [/tex]

Step-by-step explanation:

[tex]tan \: 60 \degree = \frac{y}{3} \\ \\ y = 3tan \: 60 \degree \\ \\ y = 3 \sqrt{3} [/tex]

Answer:

y = 3[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex]  , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{3}{y}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )

y = 3[tex]\sqrt{3}[/tex]

A number is less than one-fourth the sum of eight times the number and four.​

Answers

Answer:

Assume the number is X. What is given can be written as the following:

X < (1/4)*(8X+4)

Multiply 4 on both sides

4X< 8X+4

Subtract 4X+4 from both sides

-4 < 4X

-1<X i.e., X>-1 the number is greater than -1.

There are 300 pages in your independent reading book for English. You have read 78% of the book. How many pages have you read?

Answers

Answer:

234

Step-by-step explanation:

300 x .78 = 234

Answer:

234 pages.

Step-by-step explanation:

Remark

78% = 78/100

78% of 300 = 78/100 * 300 = 23400/100 = 234

Identify a median of ABC.
A. CE
B. AD
C. BF
D. GH

Answers

Answer:

B

Step-by-step explanation:

1. What is the average (mean) of this data set? 2, 2, 3, 5, 8

A. 5
B. 4

2. Which one is a statistical question I could ask a group of students? *

A. What time is it?
B. How many pairs of shoes do you have?

Answers

Answer:

1. A

2. B?

Step-by-step explanation:

the first one is B because 2+3+5+8 is 18 and 18 divided by 4 is 4.5. you round the 4.5 to 5

Best loadout for peacekeepe?

Answers

Barrel: Rapid Fire Barrel
Rear Grip: Firm Grip Tape
Ammunition: Extended Mag A
Underbarrel: Foregrip
Laser: Aim Assist Laser

Which expression is equivalent to2(t-4)+1

Answers

Answer:

2t-7

Step-by-step explanation:

2(t-4)+1

2t -8+1

2t - 7

The heights of some students are given. What is the RANGE of the heights? 158cm , 172cm , 164cm , 164cm , 167cm , 157cm .

Answers

Answer: The answer is 15.

Step-by-step explanation:

The range is the difference between the smallest and highest numbers in a list or set. In this case, the highest is 172 and the smallest 157. Subtract these two numbers to get 15, and there you go your range.

Can someone help me on this plzzz

Answers

Answer:

b=15

How I got it:

32 + (7x4) = 32 + 28 = 60

60 divided by 4 = 15

Checking:

15 - 7 = 8

8 x 4 = 32

32 = 32

You can tell b = 15 is the correct answer.

George invested $18,500 five years ago and unfortunately the investment has been losing 6% of its value each year. What is the current value of his investment? Round to the nearest cent.

Answers

Answer:

$13,577.22

Step-by-step explanation:

Multiply 18,500 by 0.94 for each year

I thought I could do this myself but failed, can someone please help me answer this and show work so I can know what to do for future reference. I would like to complete this seeing how this is my last question of the week.

Answers

Answer:

area: 1070

perimeter: 434 units

Step-by-step explanation:

area:

- use pythagoream theorem to find the height, which is gonna be 84

- from there, you're gonna wanna find the area of the rectangle and then the two triangles. the way i do it is by just finding the area of the rectangle first, 100x84 = 8400, and then finding the area of the triangles (35x84/2 = 1470 and 20x84/2 = 840)

- you have the area of all shapes, now just add them together (8400+1470+840 = 10710)

perimeter:

just add all the lengths given together.

You have 7 donuts to share evenly among you and your three brothers. Which equation describes how many donuts each of you will receive? Choose 1 answer: Choose 1 answer: 7÷4= 7/4 7÷3=7/3 3÷7=3/7 4÷7=4/7

Answers

Answer:

7/3

Step-by-step explanation:

Since you have seven donuts to share with three brothers, you can calculate that each one of you will get 2 donuts and there will be a spare one left. You know that you also have to share that one so you split it into thirds. 7/3 = 2 1/3

Hope I helped!

Brainliest? :o

Keywords: donuts, donut, brother, equation, receive

It’s 7/4 because it’s You AND your 3 brothers


Find the Mean absolute deviation

45, 60,55, 20,15,10,30

Answers

Answer:

The mean is 30

If anyone could please help I would appreciate it!

Answers

B is the correct answer. The actual prices for Awesome Autos are higher than Cool Cars, but they started the graph at a higher price (not zero) so that their bars would appear lower.

square root of 729 using repeated subtraction method. I need detailed steps​

Answers

Answer:

√729=√27*27=√27^2=27

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