The length of a rectangular prism is four times the width. The height of the prism is 160ft^3, what is the width of the prism? Round the the nearest tenth of a foot​

Answers

Answer 1

Answer:

The width of the prisim is equal to 2.23 feet.

Step-by-step explanation:

let l is length and b is width.

Length, l = 4b

The volume of the prism is 160 ft³.

The height of the prism is 8 ft.

The formula for the volume of a prism is given by :

[tex]V=lbh\\\\160=4b\times b\times 8\\\\160=32b^2\\\\b^2=\dfrac{160}{32}\\\\b=\sqrt5\\\\b=2.23\ ft[/tex]

So, the width of the prisim is equal to 2.23 feet.


Related Questions

Ms. Pacheco wrote the following expression. [7 x (4 + 11)] - 9 What is the value of the expression?

Answers

Answer: 105x-9

Step-by-step explanation:

Sorry love don’t feel like typing the explanation! :(

a tree cast a 25 foot shadow on a sunny day, if the angle of elevation from the tip of the shadow to the top of the top of the tree is 32 degrees, what is the heights of the tree to the nearest tenth of a foot?

Answers

Answer:

Tree height is 15.6 ft

Step-by-step explanation:

Picture a triangle with horizontal side 25 ft and angle 32 degrees on the left.  Then the following is true:

                                      x

tan 32 = 0.625 = ---------------------       or   x = (0.625)(25 ft) = 15.6 ft

                                    25 ft        

Which solution correctly solves the problem 6x - 19 = 77? plz help

A.
B.
C.
D.

Answers

Answer:

D

Step-by-step explanation:

in order to get the process of solving the equation, we need to solve it.

our goal to solve the equation 6x-19=77 is to isolate the variable onto one side, and have the numbers (value of x) on the other

we have the equation:

6x-19=77

first, we can get rid of -19 on the left side and leave 6x on that side by adding 19 to both sides (-19+19=0).

The reason why we're adding 19 to both sides is because if we do something to one side, we have to do it to the other side to make sure the value of the equation stays the same.

6x-19= 77

   +19  +19

_________

6x=96

now, we do have the variables on one side and the numbers on another side, but we aren't done yet, as we want the value of x by itself

divide by 6 on both sides

x=16 (because 6x/6=1x, or x. 96/6=16).

the option of D shows the same method I did and has the correct answer as well.

This is what was given for D:

6x-19=77

6x-19+19=77+19

6x=96

6x/6=96/6

x=16

(same thing I did)

So D is the correct answer.

Hope this helps!

Need help with this question

In picture above

Answers

Answer:

Solution given:

Cos -θ:[tex]\frac{\sqrt{3}}{4}[/tex]

since cos -θ=Cos θ

Cos θ :[tex] \frac{\sqrt{3}}{4} [/tex]

[tex]\frac{\sqrt{b}}{h} [/tex]=:[tex] \frac{\sqrt{3}}{4} [/tex]

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

h=4

p=[tex] \sqrt{4²-(\sqrt{3})²} [/tex]=[tex] \sqrt{13}[/tex]

So

Sin θ=[tex]\frac{p}{h} [/tex]=[tex]\frac{\sqrt{13}}{4} [/tex]

So third one is a required answer.

The ages of George and Genemy are in ratio 5:7 . Four years from now the ratio of their ages will be 3:4 .Find their present ages.​

Answers

Answer:

Below in bold.

Step-by-step explanation:

Let x be George's age and y be Genemy's age.

x/y = 5/7

(x + 4)/ (y + 4) = 3/4

From equation 1, y = 7x/5 = 1.4x so substituting in equation 2 :

(x + 4)/ (1.4x + 4) = 3/4

3(1.4x + 4) = 4(x + 4)

4.2x + 12 = 4x + 16

0.2x = 16 -12 = 4

x = 4/0.2 = 20 = George's age.

So y = 1.4x = 1.4 * 20 = 28 = Genemy's age.

The Un are 5 and zap

17 ft.
8 ft.
15 ft.

What is the area of the triangle above?

Answers

Answer:

60 ft²

Step-by-step explanation:

Answer:

60 ft.

Step-by-step explanation:

8*15 = 120/2 = 60

Rick wants to use multiplication to solve {k} = 7 \div \dfrac13k=7÷ 3 1 ​ k, equals, 7, divided by, start fraction, 1, divided by, 3, end fraction. Which multiplication equation can Rick use? Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac13\times{k} =7 3 1 ​ ×k=7start fraction, 1, divided by, 3, end fraction, times, k, equals, 7 (Choice B) B \dfrac13={k}\times7 3 1 ​ =k×7start fraction, 1, divided by, 3, end fraction, equals, k, times, 7 (Choice C) C \dfrac13\times7 = {k} 3 1 ​ ×7=kstart fraction, 1, divided by, 3, end fraction, times, 7, equals, k

Answers

Answer: (a)

Step-by-step explanation:

Given

Equation is

[tex]k=\dfrac{7}{\frac{1}{3}}[/tex]

Write the cross-multiplication of the given equation i.e.

[tex]\Rightarrow \dfrac{1}{3}\times k=7[/tex]

This corresponds to the option (a).

Answer:

C

Step-by-step explanation:

ITS C BECAUSE I WASTED A MISTAKE BC OF THE OTHER GUY ON TOP

DONT USE HIS

JUST USE MINE

DONT NEED AN EXPLANATION NOOOOB

Find the center and radius of this
circle.
(x - 2)2+(y + 3)2 = 36

Answers

Answer:

(x-a)² + (y-b)² = r²

C(a,b) -> C ( 2 , -3 )

r² = 36 ... r = 6

Answer:

The answer is 2 then -3 and last 6

Step-by-step explanation:

Put in 2 then -3 and last 6 You welcome

Rezolvați în mulțimea numerelor reale ecuația:

x+15−2x−12=x10

DAU COROANA!

Answers

-x10−x+3=0

x≈−1.1530188,1.06806865

PLEASE ANSWERRR ONE OR MORE OF THE QUESTIONS, MORE OR ONLY ONE IS FINE

Answers

Answer:

b

Step-by-step explanation:

I dunno how to explain bdjwnfjrndisnf

Answer:

First problem: sorry I dont know.

Second problem: C. 384 square inches

Third Problem: B. 215 cm2

Fourth Problem: C. 60 cubic units

Hope this helps!

Match each graph to the corresponding linear equation. help plzzzz i hate math

Answers

ANSWER:

GRAPH A: Equation 4

GRAPH B: Equation 3

GRAPH C: Equation 2

GRAPH D: Equation 1

What is the meaning of f '' (4) = -4?

Answers

Hi there!

f''(4) = -4 means that at x = 4, the second derivative is equal to -4. This is equivalent to the instantaneous rate of change of the graph of f'(x) at x = 4 as well.

Answer:

Step-by-step explanation:

if the second derivative is -4 means that the function is concave down and that at point 4 the function has a maximum

HELP ME WITH THIS PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer is 5

hope it helps

Answer:

n = 5 units

Step-by-step explanation:

We can solve this using 2 different equations which lead to the same answer:

Equation #1: Sin(30) = n/10

=>Sin(30) * 10 = n

=> 5 = n

Equation #2: Cos(60) = n/10

=> Cos(60) * 10 = n

=> 5 = n

If a number is a whole number, it is in it's simplest radical form, therefore;    n = 5 units is the correct answer

Hope this helps!

Pls help and find the area

Answers

Answer:

I don’t know the area but here’s a hint to help you (hint: length x with x height)

Step-by-step explanation:

Q12.
Which relation is a function?

A
{(-1, 3), (-2, 6), (0, 0), (-2, -2)}

B
{(-2, -2), (0, 0), (1, 1), (2, -2)}

C
{(7, 4), (8, 8), (10, 8), (10, 10)}

D
{(4, 0), (4, 1), (4, 2), (4, 3)}

Answers

D I’m guessing since it’s the only one that makes sense

work out three fifths of 20 pounds

Answers

3/5 times 20/1
60/5
12

Therefore, 3/5 of 20 pounds is 12 pounds.

When Austen's parents are away celebrating their anniversary, he gets to sleepover for a week at his
grandparents' house. Afterwards, Austen decides to make his grandparents a photo album of their time
together. There are 7 pages in the album. Austen puts the same number of photos on each page, for a
total of 42 photos.
Which equation can you use to find the number of photos p on each page?
P = 42
7p = 42
P + 7 = 42
D-7=42
7
Solve this equation for p to find the number of photos on each page.
photos
Submit

Answers

i think it’s the second one, i’m not sure though! best of luck to you my fried

Answer:

The answer is 6 becase 6 12 18 24 20 36 42 that is 7 so the answer is 6 and it is b

Step-by-step explanation:

brainliest pls

Besties helpppp please FASTTT

Answers

Answer:

180

Step-by-step explanation:

area of a trapezoid = [tex]\frac{a+b}{2}h[/tex]

where a = base 1

b = base 2

and h = height

This is what we are given

base 1 = 23

base 2 = 37

and height = 6

That being said we plug in the given values into the formula

[tex]A=\frac{37+23}{2} 6\\23+37=60\\\frac{60}{2} =30\\30*6=180[/tex]

Hence the area of the trapezoid is 180 square feet

In the first football game, the quarterback completed 18 out of 24 passes he attempted.

a) What percent of the passes did the quarterback complete?

b) In the next game, the quarterback completed 19 of the 26 passes he attempted. What is the OVERALL percentage of completion for the two games?

Answers

Answer:

A) 75%

B) 74%

Step-by-step explanation:

A) 18/24=0.75

B) 37/50= 0.74

I'M A GOOFY ______ !!!!!
A. Kid
B.Guy
C.Dude
D.Goober

Answers

Answer:

D

Step-by-step explanation:

SPONGEBOB!!

I need Help! Please help I really don’t know how to anwser it no links will report I really need help will make brainliest :(

Answers

Answer:

16/50 or 8/25

Step-by-step explanation:

Good luck. Hope you get a good grade

Volume of Composite Figures

Answers

Answer:

612 pi m^3

Step-by-step explanation:

Volume of the cylinder = 576 pi m^3

volume of the cone = (radius^2 x pi x height)/3 = (6^2 x pi x 3)/3 = 36 pi m^3

total  volume = 576 pi + 36 pi = 612 pi m^3

solve this the link is down below

Answers

there is no link here

A candle on a table is 6 inches tall and burns at a rate of .8 inches per hour. How many hours will it take for the candle to burn down to a height of 1.2 inches?

Answers

Answer:

6 hours

Step-by-step explanation:

6 inches burns at rate .8 inches in 1 hour

to be 1.2 inches has to burn 6 -1.2 = 4.8 inches of the candle

4.8 inches / .8 inches in 1 hour  = 6 hours

if 5a + 9 = 5 + 3a, then 2a=​

Answers

Step-by-step explanation:

5a+9=5+3a

2a=-4 is the required value

A cylinder has a base radius of 3m and a height of 17m. What is its volume in cubic m, to the nearest tenths place?

Answers

Answer:

V=  480.7 m cubed

The volume of the cylinder nearest to tenths place is 480 m^3.

What is cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.

For the given situation,

The formula for volume of the cylinder is [tex]V=\pi r^{2} h[/tex]

Radius of the cylinder,r = 3 m

Height of the cylinder, h = 17 m

The value of π = 3.14

On substituting the above values,

[tex]V=(3.14) (3^{2})(17)[/tex]

⇒ [tex]V=480.42[/tex] ≈ 480

Hence we can conclude that the volume of the cylinder is 480 m^3.

Learn more about volume of cylinders here

https://brainly.com/question/15891031

#SPJ2

It takes 8 workers 12 days to build a wall work out how many days it would take 3 workers to complete the same job

Please can someone answer and explain??

Answers

Answer: 24 days

Step-by-step explanation

h every worker, 4 workers will still take 12 days. If the work is to shake every other worker's hand, 4 workers will only take 37 x 12 days.

What is the equation of a line, in slope intercept form, that has a y-intercept of -1 and a slope

Answers

Answer:

y = 5x - 1

Step-by-step explanation:

Given the following data;

Intercept = -1

Slope = 5

To find the equation of line;

Equation of straight line is y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

Substituting the values in order to find the intercept, we have;

y = mx + 1

y = 5x - 1

(a) An object has a density of 17
g.
3
cm
and a mass of 272 g. What is the
volume of the object?
Volume
a

Answers

The correct answer is 16

Write the equation of the line Perpendicular to g (x) = 3x – 0.77, going through the point (0,-5). Show all work.​

Answers

Answer:

y = -⅓x - 5

Step-by-step explanation:

the slope of g(x) = 3

=> the slope of the line perpendicular

to g(x) = -1 /3

so,

the line is :

y +5 = -⅓(x-0)

y = -⅓x - 5

y=3x-0.77

On comparison to slope intercept form

slope=m=3

Perpendicular lines have slopes negative reciprocal to each other

Slope of perpendicular line=-1/3

Equation

y+5=-1/3xy=-1/3x-5
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