The volume of a rectangular prism is 840 in3. If the area of the base 60 in2 , find its height. Draw and label a model to show your thinking.

Answers

Answer 1

Answer:

14in

Step-by-step explanation:

Given data

Volume of prism= 840in^3

Base= 60 in^2

Height=????

The expression for the volume is given as

V= L*B*H

V= Area*H

840=60*H

Divide both sides by 60

H= 840/60

H= 14 in

Hence the height is 14in


Related Questions

what is the correct measure of m? 15, 5, n, m

Answers

Answer:

subtract 5 , m=(-15)

Step-by-step explanation:

15-5

=10

n:

5-10

=(-5)

m:

(-5)-10

=(-15)

hope it help

Calculate the volume of a cone with: 11cm height and 6cm radius

Answers

Answer:

volume=1243.44 cm^3

Step-by-step explanation:

volume of a cone=πr^2h

=3.14*(6)^2*111

=3.14*36*11

=1243.44 cm^3

Answer:

V=414.69cm³

Step-by-step explanation:

use v=πr²h/3

pie is 22/7 so when you fix in your values you will get the answer

Find the surface area and explain step by step plz and no links plz

Answers

Answer:

253 in²

Step-by-step explanation:

Surface area of a cylinder= 2πr (r+h)

The radius is not shown.

Radius= diameter/2

           = 7/2

           = 3.5 in

Surface area= 2xπx3.5 (3.5+8)

                     = 253 in²

*r=radius

h=height

I used the π value from my calculator.

P.S. You can substitute π for 3.14. If you round it to the nearest whole number, you will still get the same answer. Hope this helped!

The picture shows the diameter and the height. First, find the radius from the diameter by dividing by 2.

Express in roster form. Set of B is the set of all elements x such that x is an element of natural numbers and x is a multiple of 8

Answers

Answer:

[tex]B = \{8, 16, 24, 32, 40, ...... \}[/tex]

Step-by-step explanation:

Given

[tex]x \to[/tex] element of natural number

[tex]x \to[/tex] multiple of 8

Required

Express in roster form

[tex]Natural[/tex] [tex]numbers[/tex] are 1, 2, 3, 4, 5, 6, ......

[tex]Natural[/tex] [tex]numbers[/tex]  that are multiples of 8 are 8, 16, 24, 32, 40, ......

So, the set in roster form is:

[tex]B = \{8, 16, 24, 32, 40, ...... \}[/tex]

Jeff had 5 apples but ate 2 Kyle had 3 apples but ate 1 kelsea has 8 apples but ate 4 who has the most apples?

Answers

Answer: kelsea 4 apples left

Step-by-step explanation:

Jeff has the most apples

13) The side length of the following cube is 8 cm. what is the length of the diagonal through its center?​

Answers

Answer: [tex]\sqrt{3}[/tex] x 8 = 13.8564064606

Step-by-step explanation: The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3 ([tex]\sqrt{3}[/tex]). Therefore, square root 3 ([tex]\sqrt{3}[/tex]) is multiplied by the length (8 in our case) of either 6 faces of the cube.

Hope it helped!

Answer:

13.8564064606

5
8
y
Find the exact value of y.
y =

Answers

Answer:

[tex]y=2\sqrt{10}[/tex]

Step-by-step explanation:

By applying geometric mean theorem in the given right angle,

[tex]\frac{AD}{DB}=\frac{DB}{CD}[/tex]

By substituting values in the given ratio,

[tex]\frac{5}{y}= \frac{y}{8}[/tex]

[tex]y^2=8\times 5[/tex]

[tex]y^2=40[/tex]

[tex]y=2\sqrt{10}[/tex]

Exact value of y is [tex]2\sqrt{10}[/tex].

[tex]\sqrt{x} +3=9[/tex]

Answers

Answer:

x=36

Step-by-step explanation:

sqrt(x) +3 = 9

Subtract 3 from each side

sqrt(x)+3-3 = 9-3

sqrt(x) = 6

Square each side

(sqrt(x))^2 = 6^2

x = 36

Check the solution

sqrt(36) +3 = 9

6+3 = 9

Solution is valid

Answer:

x = 36

Step-by-step explanation:

√x + 3 = 9

subtract 3 from 9

√x = 9 - 3

√x = 6

Find , square root of 6

x = (6 ) ²

x = 36

Help on this too Guys

Answers

Answer:

radius is 6 diameter is 2 don't know the other one tho

Which of the following is one of the factors of the polynomial
15x2-x-2? A)x-2 B) 5x-2 C) 5x+1. D) 3x-1

Answers

Answer:

5x-2

Step-by-step explanation:

15x^2-x-2

15x^2+5x-6x-2

factorize

5x(3x+1)-2(3x+1)

Sol: (3x+1)*(5x-2)

Which of the following are true statements about angle parking. Angle parking spots have a larger blind spaces than perpendicular spaces. Angle parking spots have a larger blind spaces than perpendicular spaces. Angle parking spots have half the blind spot as compared to perpendicular parking spaces. Angle parking spots have half the blind spot as compared to perpendicular parking spaces. Parking lots that have angle parking spaces can fit fewer cars than perpendicular parking. Parking lots that have angle parking spaces can fit fewer cars than perpendicular parking. Angle parking is more common than perpendicular parking. Angle parking is more common than perpendicular parking. All are true statements.

Answers

Answer:

Angle parking is more common than perpendicular parking.

Angle parking spots have half the blind spot as compared to perpendicular parking spaces

Step-by-step explanation:

Considering the available options, the true statement about angle parking is that" Angle parking is more common than perpendicular parking." Angle parking is mostly constructed and used for public parking. It is mostly used where the parking lots are quite busy such as motels or public garages.

Therefore, in this case, the answer is that "Angle parking is more common than perpendicular parking."

Also, "Angle parking spots have half the blind spot as compared to perpendicular parking spaces."

please help i have no clue what i’m doing

Answers

Answer:

x = 24

x = 20

Step-by-step explanation:

x/3 - 2 = 6

Add 2 to both sides

x/3 = 8

multiply both sides by 3

x = 24

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

x/5 +1 = 5

Subtract 1 from both sides

x/5 = 4

multiply both sides by 5

x = 20

Answer:

1. add two both sides and then multiply by 3 each side to get to the answer of 24.

Check: 24/3 = 8 - 2 = 6

2. x/5 + 1 = 5

subtract 1 from each side and then multiply by 4 on each side to get to the result of 20.

check: 20/5 is 4 + 1 = 5

Brainlist please :)

Please help me.....................

Answers

Answer:16500

Step-by-step explanation:

That is, for every 100 people, there are 26 people aged between 11 and 20. So 63500 will have 16500 people aged 20.

n3=8/125 for n n= ???

Answers

Answer:

2/25

Step-by-step explanation:

[tex]n^3 = \frac{8}{125}[/tex]

[tex]n^3 = (\frac{2}{5})^3[/tex]

[tex]n = \sqrt[3]{n^3} = \sqrt[3]{(\frac{2}{25})^3}[/tex]

[tex]n = \sqrt[3]{(\frac{2}{25})^3}[/tex]

[tex]n = \frac{2}{25}[/tex]

I need help I put 30 points for whoever helps me

Answers

Answer:

[tex]y=-x+1[/tex]

Step-by-step explanation:

Slope can be represented as rise over run (change y-values over change in x-values). Since the y-value is changing by -2 every time the x-value is changing by 2, the slope of the line must be [tex]\frac{-2}{2}=-1[/tex].

In slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line, [tex]b[/tex] represents the y-intercept, and [tex](x, y)[/tex] represent the coordinates of any point the line passes through.

To find [tex]b[/tex], substitute [tex]m=-1[/tex] and any point the line passes through.

Using (1, 0) from the table:

[tex]0=-1(1)+b,\\0=-1+b,\\b=1[/tex]

Thus, the equation of this line is [tex]\boxed{y=-x+1}[/tex]

draw the graph of the equation 3x-4y=12 from the graph find the value of y when x= 8​

Answers

Answer:

y = 3

Step-by-step explanation:

3x - 4y = 12

3(8) - 4y = 12

24 - 4y = 12

- 4y + 24 = 12

- 4y + 24 - 24 = 12 - 24

- 4y = - 12

- 4y ÷ - 4 = - 12 ÷ - 4

y = 3

Slope: [tex]\frac{3}{4}[/tex]

y - intercept: (0, - 3)

PLEASEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

First, find the multiplier  ( 100-18/100)

=0.82

364000*0.82

=298480 is the new value after the years

What is the measure of the sides of a square with an area of 49 inches

Someone please answer fast ❤️

Answers

Answer:

7 inches

Step-by-step explanation:

area of square=l^2

49=l^2

[tex]\sqrt{49[/tex]=l

7=l

therefore the sides of a triangle is 7 inches.

Answer:

7

Step-by-step explanation:

So to find this you know a square has 4 equal sides. The area is 49, and area is side length multiplied by side length. So what number multiplied by itself is 49? 7 x 7=49!

Donna bought 5 bags of dog treats for $10.65. What is the cost per bag of dog treats?

Answers

Answer:

$10.65 divide by 5 equals $2.13

Answer:

The cost per bag of dog treats is $2.13.

Step-by-step explanation:

We have the total, so to find the cost per bag you would take the total and divide by how many bags there are.

Total = $10.65

How many bags there are : 5

$10.65 divided by 5 = 2.13

The cost per bag of dog treats is $2.13.

Simplify\left(2-\sqrt{3}\right)^2

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { C) \:7 + 4 \sqrt{3}}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] {( - 2 - \sqrt{3} )}^{2} [/tex]

[tex] = ({ - 2})^{2} - 2.( - 2). \sqrt{3} + { (\sqrt{3}) }^{2} [/tex]

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

[tex] = 7 + 4 \sqrt{3} [/tex]

Note:

[tex] ({a - b})^{2} = {a}^{2} - 2ab + {b}^{2} [/tex]

[tex] \sqrt{a} \times \sqrt{a} = a[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Calculate the volume of this planter box in cubic centimeters.


If there are four of these planter boxes, would they fit in a 1 square meter area near the back

door? Show calculations to explain your answer.


(Pictures Attached)

Answers

Answer:

V=786,240cm³

Step-by-step explanation:

Volume=Length × base × height

v= 52cm×42cm×360cm

HELP ME PLEASE DUE SOON!!!!!! WILL MARK BRAINLIEST

Answers

P’Q 4
A’B’ 3
M’N 6 good luck on the rest of ur test :>

Divide. (ASAP PLEASE)
[tex]30 )869[/tex]

Enter the number that belongs in the green box.

Answers

Answer:

0.034522 (for decimal)

Step-by-step explanation:

Write a numerical expression for the verbal expression.
fourteen decreased by three times four

Answers

Answer:

Step-by-step explanation:

44

What this is basically saying

Is that 14 is being DECREASED by 3*4

So 14-(3*4)

Evaluate 10% of 5000

Answers

Answer:

500

Step-by-step explanation:

that is the procedure above

500 I hope this helps you 10% of 5000= 500

Properties of Logarithms pls help me with this?

Answers

Answer:

log 18= 2.0850

1.2925+0.7925= 2.085

Which two angles below are complementary?

Answers

Answer:

1° and 89°

Step-by-step explanation:

They add up to 90°

Hope this helps! :)

if 5x-26=x+50, then what is the value of x

Answers

Answer:

x = 19

Step-by-step explanation:

5x - 26 = x + 50

Subtract x on both sides of the equation.

4x - 26 = 50

Add 26 on both sides.

4x = 76

Now, divide by 4 on both sides.

x = 19

Answer:

x = 19

Step-by-step explanation:

5x-26=x+50

5x = 76 +x

4x = 76

x = 19

Algorithm to accept the height of a building in metres and convert it into centimetres.Also draw the flowchart

Answers

Answer:

1200cm

Step-by-step explanation:

Given data

We know that 1meter is equivalent to 100cm

i,.e 1*100

so, if height is 1.2meters

Height in centimeters is 1.2*100

Hence height in centimeters is 1200cm

Lee ran a mile in 7 1/3 minutes. His friend Sam ran the same mile in 8 5/9 minutes. How many minutes faster did Lee run? (First answer will be the brainliest)

Answers

Answer:

1 2/9 minutes faster

Step-by-step explanation:

Take the larger number and subtract the smaller number

8 5/9 minutes - 7 1/3 minutes

Get a common denominator

8 5/9 - 7 1/3 *3/3

8 5/9 - 7 3/9

1 2/9 minutes faster

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