Greg has a storage container in the shape of a
rectangular prism that has a volume of 360 cubic
feet. The container's base measures 8 feet long and
9 feet wide. What is the height of the storage
container, in feet?

Answers

Answer 1

Answer:

The answer is 5

Step-by-step explanation:

First you need to know the equation for volume which is: length×width×height

You have the length and the width which those are: l=8 and w=9

Multiply the length and width together: 8×9=72

Then divide 360÷72=5

Check your math: 8×9×5=360

Therefore, the correct answer is 5

I hope this helps you! ~Lex


Related Questions

please help only with number one

Answers

Answer:

so, where the dotted line is that is called the height, so you would times it and find your answer.

The coordinates of the following points represent the vertices of a rectangle. E: (4,2) F: (10,2) G: (10,8) H: (4,8) What is the perimeter, in units, of rectangle EFGH?

Answers

Answer:

Perimeter of rectangle EFGH = 24 unit

Step-by-step explanation:

Given:

E: (4,2)

F: (10,2)

G: (10,8)

H: (4,8)

Find:

Perimeter of rectangle EFGH

Computation:

Distance = √(x1 - x2)² + (y1 - y2)²

Distance between EF = √(4 - 10)² + (2 - 2)²

Distance between EF = √36

Distance between EF = 6units

Distance between FG = √(10 - 10)² + (2 - 8)²

Distance between FG = √36

Distance between FG = 6 units

Distance between GH = √(10 - 4)² + (8 - 8)²

Distance between GH = √36

Distance between GH = 6 units

Distance between HE = √(4 - 4)² + (8 - 2)²

Distance between HE = √36

Distance between HE = 6 units

Perimeter of rectangle EFGH = 6 + 6 + 6 + 6

Perimeter of rectangle EFGH = 24 unit

This composite figure is made up of three simpler shapes. What is the area of
the figure?
7 cm
4 cm
5 cm
4 CE
8 cm
A. 66 square cm
R 50 square cm
C. 46 square cm
D. 80 square cm

Answers

Answer:

A. 66 square cm

Step-by-step explanation:

HOPE IT HELPSS! :D

PLS HELP
Find the volume.

Answers

Answer:

V= 160 ft

Step-by-step explanation:

First 10×8×6 then ÷ 3 = 160

A bag contains 11 red beads, 10 blue beads, and 4 green beads. If a single bead is picked at random, what is the probability that the bead is green?

Answers

Answer:

4/15

Step-by-step explanation:

y = x + 1 how many solutions does this system have

Answers

Answer:

Step-by-step explanation:

There are an infinite number of solutions.

Complete the missing parts of the table for the following function y=7^x

Answers

Answer:

x= -2 y = ([tex]\frac{1}{49}[/tex])

x= 0 y = 1

x= 2 y = 49

Step-by-step explanation:

x= -2  -> (7)² = 49, negative power makes it inverse to a fraction

y = ([tex]\frac{1}{49}[/tex])

x= 0  -> anything to the power of 0 is always 1

y = 1

x= 2 -> 7² = 7 × 7 = 49

y = 49

find two mixed number or fractions that have a quotient of 3 1/5

Answers

Answer:

[tex]6 \frac{1}{5} [/tex]

Step-by-step explanation:

31/5

6/1/5

Rewrite 2+(1/b-2) = (3b/b+2) as a proportion. Which of these proportions is equivalent to the original equation?

A. (3/b-2) = (3b/b+2)

B. (2b+3/b-2) = (3b/b+2)

C. (2b-3/b-2) = (3b/b+2)


and asking 2nd part question and answer. thx

Answers

Answer:

C for the first one

1,6 for the second

Neither for the third

Step-by-step explanation: EDGE 2021

Answer:

The first Question is C

Question 2 is 1,6

Question 3 is Neither

Step-by-step explanation:

trust me I took the quiz


Sarah has 35 paperback books and 20 hardback books.
What fraction of the books are hardback

Answers

Answer:

4/11...................

Answer: 4/11

Step-by-step explanation:

The total number of books is 35+20=55, which will be the denominator, because the question is asking what fraction of all the books are hardcover. The number of hardcover books, 20, will be the numerator, so we end up with the fraction 20/55. 20 and 55 are both divisible by 5 (this means that when divided by 5, both numbers have a whole number quotient). 20/5= 4 and 55/5=11

So, the answer is 4/11

Adelaide bought a 2-liter bottle of soda for her guests. How many milliliters of soda did Adelaide buy?

Answers

Answer:

2000 milliliters

Step-by-step explanation:

2 liters = 2000 milliliters

Answer:

2000 milliliters

Step-by-step explanation:

1 liter=1000 milliliters

2x1000=2000

2000 milliliters

The following graph shows the fuel efficiency of a sample of cars. How many
cars get between 10 and 15 miles per gallon?
Fuel Efficiency of Cars
40
35
30
25
20
Number of cars
15
10
0
5
10
15
25
30
20
Miles per gallon
O A. 15
O B. 20
C. 5
D. 40

Answers

Answer:

B) 20

The 10-15 x axis bar graph shows 20 cars on the y axis

An environment engineer measures the amount ( by weight) of particulate pollution in air samples ( of a certain volume ) collected over the smokestack of a coal-operated power plant. Let X1 denote the amount of pollutant per sample when a certain cleaning device on the stack is not operating, and let X2 denote the amount of pollutant per sample when the cleaning device is operating under similar environmental conditions. It is observed that X1 is always greater than 2X2, and the relative frequency behavior of (X1, X2) can be modeled by

f(x,y)= k for 0 <= x <= 2, 0<=y <=1 , 2y<= x and 0 elsewhere

(X and Y are randomly distriibutied over the region inside the tricanle bounded by x=2, y=0 and 2y=x)

a. Find the value of k that makes this a probability desnsity function.
b. Find P >= 3y

Answers

Answer:

[tex]k = 1[/tex]

[tex]P(x > 3y) = \frac{2}{3}[/tex]

Step-by-step explanation:

Given

[tex]f \left(x,y \right) = \left{ \begin{array} { l l } { k , } & { 0 \leq x} \leq 2,0 \leq y \leq 1,2 y \leq x } & { \text 0, { elsewhere. } } \end{array} \right.[/tex]

Solving (a):

Find k

To solve for k, we use the definition of joint probability function:

[tex]\int\limits^a_b \int\limits^a_b {f(x,y)} \, = 1[/tex]

Where

[tex]{ 0 \leq x} \leq 2,0 \leq y \leq 1,2 y \leq x }[/tex]

Substitute values for the interval of x and y respectively

So, we have:

[tex]\int\limits^2_{0} \int\limits^{x/2}_{0} {k\ dy\ dx} \, = 1[/tex]

Isolate k

[tex]k \int\limits^2_{0} \int\limits^{x/2}_{0} {dy\ dx} \, = 1[/tex]

Integrate y, leave x:

[tex]k \int\limits^2_{0} y {dx} \, [0,x/2]= 1[/tex]

Substitute 0 and x/2 for y

[tex]k \int\limits^2_{0} (x/2 - 0) {dx} \,= 1[/tex]

[tex]k \int\limits^2_{0} \frac{x}{2} {dx} \,= 1[/tex]

Integrate x

[tex]k * \frac{x^2}{2*2} [0,2]= 1[/tex]

[tex]k * \frac{x^2}{4} [0,2]= 1[/tex]

Substitute 0 and 2 for x

[tex]k *[ \frac{2^2}{4} - \frac{0^2}{4} ]= 1[/tex]

[tex]k *[ \frac{4}{4} - \frac{0}{4} ]= 1[/tex]

[tex]k *[ 1-0 ]= 1[/tex]

[tex]k *[ 1]= 1[/tex]

[tex]k = 1[/tex]

Solving (b): [tex]P(x > 3y)[/tex]

We have:

[tex]f(x,y) = k[/tex]

Where [tex]k = 1[/tex]

[tex]f(x,y) = 1[/tex]

To find [tex]P(x > 3y)[/tex], we use:

[tex]\int\limits^a_b \int\limits^a_b {f(x,y)}[/tex]

So, we have:

[tex]P(x > 3y) = \int\limits^2_0 \int\limits^{y/3}_0 {f(x,y)} dxdy[/tex]

[tex]P(x > 3y) = \int\limits^2_0 \int\limits^{y/3}_0 {1} dxdy[/tex]

[tex]P(x > 3y) = \int\limits^2_0 \int\limits^{y/3}_0 dxdy[/tex]

Integrate x leave y

[tex]P(x > 3y) = \int\limits^2_0 x [0,y/3]dy[/tex]

Substitute 0 and y/3 for x

[tex]P(x > 3y) = \int\limits^2_0 [y/3 - 0]dy[/tex]

[tex]P(x > 3y) = \int\limits^2_0 y/3\ dy[/tex]

Integrate

[tex]P(x > 3y) = \frac{y^2}{2*3} [0,2][/tex]

[tex]P(x > 3y) = \frac{y^2}{6} [0,2]\\[/tex]

Substitute 0 and 2 for y

[tex]P(x > 3y) = \frac{2^2}{6} -\frac{0^2}{6}[/tex]

[tex]P(x > 3y) = \frac{4}{6} -\frac{0}{6}[/tex]

[tex]P(x > 3y) = \frac{4}{6}[/tex]

[tex]P(x > 3y) = \frac{2}{3}[/tex]

Pls help me im desperate bots are not supposed to post here

Answers

Answer:

y = [tex]\frac{1}{2}x+8[/tex]

Step-by-step explanation:

From the table given in the picture,

Two points lying on the graph are (-4, 6) and (-2, 7)

Let the linear function is,

y = mx + b

Here, m = slope of the line

b = y-intercept

Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through (-4, 6) and (-2, 7) will be,

m = [tex]\frac{7-6}{-2+4}[/tex]

m = [tex]\frac{1}{2}[/tex]

y-intercept is a point for which x = 0

From the given table,

For x = 0, y = 8

Therefore, y-intercept (b) = 8

Equation of the linear function will be,

y = [tex]\frac{1}{2}x+8[/tex]

For questions 3 that’s all i need help please !!! For a test and please put your answers below !!! It’s not D because one of friends had took it already and told me he choose D and it was incorrect. Thank you.

Answers

Answer:

56,067

Step-by-step explanation:

there are 52 weeks in a year. and they work 40 hours a week.

[tex]26.96*40=1078\\1078*52=56,067[/tex]

Answer:

The answer is C.

Step-by-step explanation:

Find the LCD of the following:
1. 3/8, 1/4, 5/12


2. 2/3,5/6, 7/9​

Answers

Answer:

1.  LCD= 24

2. LCD= 18

Tell whether the angles are complementary or supplementary. Then find the value of x.

Answers

Answer:

[tex]1) 3x+45=90[/tex]

[tex]3x=90-45[/tex]

[tex]3x=45[/tex]

[tex]\frac{3x}{3} =\frac{45}{3}[/tex]

[tex]x=15[/tex]

1) The angles are complementary

[tex]--------[/tex]

[tex]2)x-20+x=90\\[/tex]

[tex]2x=90+20[/tex]

[tex]2x=110[/tex]

[tex]x=55[/tex]

2) The angles are complementary

[tex]--------[/tex]

[tex]3)2x+(3x+25)=180[/tex]

[tex]2x+3x+25=180[/tex]

[tex]2x+3x=180-25[/tex]

[tex]5x=155[/tex]

[tex]x=\frac{155}{5}[/tex]

[tex]x=31[/tex]

3) The angles are supplementary

[tex]----------[/tex]

hope it helps..

have a great day!!

Janice has $2.46 worth of coins in her pocket. The coins are of four different denominations, and she has the same number of each denomination. What are the four denominations, and how many of each does she have?​

Answers

Solution #1:
If Janice has pennies, nickels, dimes, and quarters. Using trial and error, I found the following results:
1 of each coin: 0.01 + 0.05 + 0.10 + 0.25 = 0.41
2 of each coin: 0.02 + 0.10 + 0.20 + 0.50 = 0.82
3 of each coin: 0.03 + 0.15 + 0.30 + 0.75 = 1.23
4 of each coin: 0.04 + 0.20 + 0.40 + 1.00 = 1.64
5 of each coin: 0.05 + 0.25 + 0.50 + 1.25 = 2.05
6 of each coin: 0.06 + 0.30 + 0.60 + 1.50 = 2.46

Based upon these results, Janice has 6 of each coin.

Solution #2:
If we let x = the number of coins, then we can set up the equation
0.01x + 0.05x + 0.10x + 0.25x = 2.46 combine like terms
0.41x = 2.46 divide both sides of the equation by 0.41
x = 6

This confirms that Janice has 6 coins of each denomination including pennies, nickels, dimes and quarters.

The number of the same coin that she has will be 6.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Janice has $2.46 worth of coins in her pocket. The coins are of four different denominations, and she has the same number for each denomination.

If there are any pennies, nickels, dimes, or quarters on Janice. Trial and error led me to the following conclusions:

1 of each coin: 0.01 + 0.05 + 0.10 + 0.25 = 0.41

2 of each coin: 0.02 + 0.10 + 0.20 + 0.50 = 0.82

3 of each coin: 0.03 + 0.15 + 0.30 + 0.75 = 1.23

4 of each coin: 0.04 + 0.20 + 0.40 + 1.00 = 1.64

5 of each coin: 0.05 + 0.25 + 0.50 + 1.25 = 2.05

6 of each coin: 0.06 + 0.30 + 0.60 + 1.50 = 2.46

Based upon these results, Janice has 6 of each coin.

Let x be the number of coins. Then we can set up the equation will be

0.01x + 0.05x + 0.10x + 0.25x = 2.46

0.41x = 2.46

x = 6

The number of the same coin that she has will be 6.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Need help fast please, plz

Answers

Answer:

13. rational, integer, white number, natural

14. irrational

Step-by-step explanation:

the third root of 125 is 5.

so, it is everything of the list except for irrational.

pi is a prime example of an irrational number. any calculation not eliminating the irrational number is also irrational.

terest formula to compute the total amount accumulated and
$5000 for 3 years at 1.7% compounded monthly
The total amount accumulated after 3 years is $ 5,261.42
(Round to the nearest cent as needed.)
The amount of interest earned is $
(Round to the nearest cent as needed.)

Answers

Answer:

Interest  = $261.42

Step-by-step explanation:

amount of interest earned is $

(Round to the nearest cent as needed.)

Amount = Principal + Interest

Amount - Principal = Interest

$ 5,261.42 -  $5000 = Interest  = $261.42

How much simple interest is earned on $4,000 in 3 1/2 years at an interest rate of 5.2%?

Answers

Answer:

$728

Step-by-step explanation:

The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.

I = PRT

I = (4000)(0.052)(3.5)

I = 728

Simple Interest earned on $4000 in three and half year with 5.2% interest rate is $ 728.

What is Simple Interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Here, Principal = $ 4000

          Time = [tex]3\frac{1}{2}[/tex] years = 7/2 years = 3.5 years

          Rate = 5.2 % =  0.052

Now, SI = P.R.T/100

         SI = 4000 X 3.5 X 5.2 / 100

         SI = $ 728

Thus, Simple Interest earned on $4000 in three and half year with 5.2% interest rate is $ 728.

Learn more about Simple Interest from:

https://brainly.com/question/22621039

#SPJ2

Which of the pairs of angles are vertical angles and
thus congruent?
ZA and ZG
ZA and B
ZC and E.
ZD and ZH
help please !!

Answers

9514 1404 393

Answer:

  ∠A and ∠G

  ∠C and ∠E

Step-by-step explanation:

Vertical angles have the same vertex and are formed from opposite rays. In this figure, the pairs of vertical angles are ...

  {A, G}, {B, H}, {C, E}, {D, F}

Of these pairs, the ones listed in your answer choices are ...

  ∠A and ∠G

  ∠C and ∠E

What type of angle is angle G?
A. right
B. acute
C. straight
D. obtuse

Answers

Answer:

acute

Step-by-step explanation:

It is a acute angle because a right angle would be like this and the others like the straight and obtuse represent different angels I hope this helped!! Brainiest please

.............................................

Answers

Step-by-step explanation:

.........................

.......

WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!!

Answers

Answer:

916.1 cm^3

Step-by-step explanation:

1) find the radius of the cylinder:

radius = dimater / 2 = 7,3 / 2 = 3.65 cm

2) find the base area of the cylinder:

base area = radius^2 x 3.14 = 3.65^2 x 3.14 = 41.83265 cm^2

3) find the height of the cylinder:

height = 7.3 x 3 = 21.9 cm

4) find the volume

V = base area x height = 41.83265 x 21.9 = 916.135035 cm^3

5) round to nearest tenth:

916. 1 cm^3

select all the values of x so g(x) is not a function.

Answers

The answer is 6 and 9
Step-by-step explanation: We are trying to figure out what makes the chart not a function. A function is is one input equals one output.
so all you have to do is look at the x and look at the number that is already there and just make it repeat.

Determine the amplitude or period as requested. Period of y = - 1/3 * sin 2x

Answers

Answer:

[tex]Period = \pi[/tex]

Step-by-step explanation:

Given

[tex]y = -\frac{1}{3} * \sin(2x)[/tex]

Required

The period

A sine function is represented as:

[tex]y =A \sin(Bx + C) + D[/tex]

Where

[tex]Period = \frac{2\pi}{B}[/tex]

By comparing:

[tex]y =A \sin(Bx + C) + D[/tex] and [tex]y = -\frac{1}{3} * \sin(2x)[/tex]

[tex]B = 2[/tex]

So, we have:

[tex]Period = \frac{2\pi}{2}[/tex]

[tex]Period = \pi[/tex]

Hence, the period of the function is [tex]\pi[/tex]

A model of the Eiffel Tower
uses a scale of 1 cm - 4 meters.
If the model is 75 a centimeters
tall, what is the actual height
of the Eiffel Tower?

Answers

Answer:

The correct answer is A. The actual height of the Eiffel Tower is 301 meters.

Step-by-step explanation:

Given that a model of the Eiffel Tower uses a scale of 1 cm - 4 meters, if the model is 75 1/4 a centimeters tall, to determine what is the actual height of the Eiffel Tower the following calculation must be performed:

1 = 4

1/4 = 0.25

75.25 x 4 = X

301 = X

Therefore, the actual height of the Eiffel Tower is 301 meters.

Kelko wrapped 20 gifts. Keiko wrapped 4 times as many gifts as Henry. Let be the number of gifts that Henry wrapped.

(a) Write an equation that relates the number of gifts that they wrapped.
Use 4, 20, and n.
(b) Find n.
2

Answers

Answer:

20 = 4n

n = 5

Step-by-step explanation:

Given that :

Number of gifts Keiko wrapped = 20

Let number of gifts wrapped by Henry = n

Keiko wrapped 4 times as many gifts as Henry

Hence,

20 = 4n

The equation that relates the number of gifts wrapped is :

20 = 4n

To obtain n ;

Divide both sides by 4 to isolate n

20/ 4 = 4n / 4

5 = n

Hence,

n = 5

Case cost $3.82 , unit cost $0.32,paper cost ,$0.03, condiment cost $0.02 what is the item total cost?

Answers

Answer:

item total cost: 4.19

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