A recycling bin is shaped like a right rectangular prism and holds 300 000 cm3 of returnable containers. If the base of the bin is 40 cm wide and 60 cm long, what is the height of the recycling bin in centimeters?

Answers

Answer 1

The height of the recycling bin in centimeters is 125 cm.

Since the recycling bin is shaped like a right rectangular prism, the volume of the recycle bin is the volume of a rectangular prism. So, volume of recycle bin, V = lwh where l = length of recycle bin = 60 cm, w = width of recycle bin = 40 cm and h = height of recycle bin.

Since we require the height of the recycle bin, making h subject of the formula, we have

h = V/lw

Since V = 300000 cm³, substituting the values of the variables into the equation, we have

h = V/lw

h = 300000 cm³/(60 cm × 40 cm)

h = 300000 cm³/(2400 cm²)

h = 125 cm

So, the height of the recycling bin in centimeters is 125 cm.

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Related Questions

Line d is parallel to line c in the figure below.

Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6.

Which statements about the figure are true? Select three options.
Vertical angles prove that Angle 2 is congruent to angle 5.
In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
Vertical angles prove that Angle 3 is congruent to angle 6.
The triangles are similar because alternate interior angles are congruent.
In the two similar triangles, Angle 2 and Angle 4 are corresponding angles.
The triangles are similar because corresponding sides are congruent.

Answers

Answer: In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.

Vertical angles prove that Angle 3 is congruent to angle 6.

The triangles are similar because alternate interior angles are congruent.

Step-by-step explanation:

URGENT PLEASE convert y = -5/6x -9 to standard slope form

Answers

Answer:

6y + 5x = -54  

Step-by-step explanation:

y = m x + b -> slope-intercept form

ax + by = c -> standard form

[tex]y = - \frac{5}{6} x - 9[/tex]

6y = -5x - 54

6y + 5x = -54  

What is the mean of the following data set: 100, 121, 105, 113, 108

Answers

Answer:

Mean = 109.4

Step-by-step explanation:

Mean = (Sum of all values)/(Number of values)

Mean = (100 + 121 + 105 + 113 + 108)/(5)

Mean = (547)/5

Mean = 109.4

Answer:

109

Step-by-step explanation:

Mean is just finding the average of the data set.

100+121+105+113+108=547, first add up all the numbers

547/5=109.4, then divide that sum by the amount of numbers in the set

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NO NONSENSE WILL REPORT

Answers

The third option is the answer.

Explanation:
Use law of sines since we are given two angles and two sides, you can do this...
b=a•sin(B)/sin(A) = 4.01444
c=a•sin(C)/sin(A) = 14.57419
Final Answer: x is about 4.0, y is about 14.6

The winner of a raffle will receive a​ 21-foot outboard boat. If 5000 raffle tickets were sold and you purchased 40 ​tickets, what are the odds against your winning the​ boat?

Answers

Answer:

You have a 0.8% chance of winning, and a 99.2% chance of losing

Select all the expressions that are equivalent to 3x – 1.
7x + 2x – 6x – 1
2(2x – 1) – x + 1
3(x – 1) + 1
12(6x – 2)
6x – 12(4x + 2)

Answers

Answer:

first

2nd

_______________

Use the rectangle FOUR to find the value of x.
in FU = 38, RQ = 2x + 9.​

Answers

Answer:

x = 5

Explanation:

2x + 9 = 19

2x = 10

x = 5

Applying the properties of the diagonal of a rectangle, the value of x is determined as: 5.

Diagonals of a RectangleThe diagonals of a rectangle are of equal length.The diagonals of a rectangle bisects each other into two equal halves.FU and RO are diagonals of rectangle FOUR.

Therefore:

2(RQ) = FU

Substitute

2(2x + 9) = 38

4x + 18 = 38

4x = 38 - 18

4x = 20

x = 5

Thus, applying the properties of the diagonal of a rectangle, the value of x is determined as: 5.

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PLZ HELP FAST!!
Which is a condition needed to apply Cavalieri’s Principle to compare the volume of two solids? Select all that apply.

Both solids have a square base
Both solids are spherical
Both solids have the same height.
Both solids have the same base area.
Both solids have the same base shape.

Answers

Cavalieri's principle states that if two solids of equal height have equal cross-sectional areas at every level parallel to the respective bases, then the two solids have equal volume.

b) A men earns Rs.50000 in a month. He spends 30% of his income on foood
2/5 on his child's Education,0.25% on transportation and rest he saves.

i) Find the amount that he spends on each topic.

ii)Find his saving percentage.​

Answers

Answer:

[tex]\huge\mathfrak\pink{ here's your solution } \\ \\ im \: soo \: happy \: [/tex]

Richard and Kelly were racing. How many possible ways could the 2 friends place? They are the only racers.

Answers

The answer is 2, either Richard wins or Kelly wins

How many degrees are in 3/4 of full turn

Answers

Answer:

270

Step-by-step explanation:

3/4x360

The length of a rectangle is 7 cm longer than its width.

The area of the rectangle is 120 cm².

What is the width of the rectangle?

Enter your answer in the box.

Answers

Answer:

the width is 8cm

Step-by-step explanation:

8x15=120

8(width)+7cm=15(length)

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PLS HELP! YOU WILL GET A GOOD DEED:*

Answers

Answer:

History test

Step-by-step explanation:

28 divided by 40 is 0.7 which equals 70 percent.

39 divided by 60 is 65 percent .

Answer:

Phil did better on his History test.

Step-by-step explanation:

In the history test, he scored a 28/40. There are many ways to do this, but here is my way. Convert this to decimal to make comparison easy.

28/40 = 0.7

In the Geography test, he scored 39/60. Convert this to decimal as well.

39/60 = 0.65.

Since 0.7 > 0.65, Phil did better on his history test.

pls help bro plsss pls pls

Answers

Answer:

A 13.7>13.07

Step-by-step explanation:

13.7. I hope this helps and is correct!

What’s 1+1 ?

A: 2
B: 69
C: 420
D: 3

Answers

Answer:

The answer to 1 + 1 is equal to 2.

Which of the following is a trinomial with a constant term?

A. x - y + 3
B. y + x ^ 3
C. x ^ 7
D. x ^ 3 + 12x ^ 2 + x
E. x + 7y
F.y ^ 2 + 12

Answers

Answer:

A) x - y + 3

Step-by-step explanation:

A trinomial is a polynomial with 3 terms, and a constant term always stays constant (for example an integer). A seems to work best.

Please help. Will give brainliest.

Answers

Answer:

7.

radius [r]=3in

length of bold part of circle=(360-40°)/360×2πr

=8/9×2×π×3=16.755

8.

we have

x²-2=2-y²

x²+y²=4..........(1)

comparing above equation with

(x-h)²+(y-k)²=r²

we get

centre(h,k}=(0,0)

radius [r]=2 units

you dont have to show work

Answers

Answer:

B

Step-by-step explanation:

solve for x
[tex]\frac{11}{x+5}[/tex] =3

Answers

The answer is X = -4/3
the answer is x= -4/3

Lin created a design in his scrapbook by cutting square sheets of paper along the diagonal, as shown. Which equation can be used to determine the area of one triangle?

Answers

Answer:

the answer is A=(8)(8)/2

Step-by-step explanation:

ayo can yall help me plzzz

Answers

Answer:

D

Step-by-step explanation:

because there is no green

Answer:

D. Impossible

Step-by-step explanation:

There are no green folders so he can't pick a green one.

:)

The sum of the two angles of the parallelogram is 224 °. Calculations of parallelogram plateau angles?​

Answers

Answer:

136degrees

Step-by-step explanation:

The sum of the two angles of the parallelogram is 224 °. Calculations of parallelogram plateau angles?

Note that the sum of interior angle of a parallelogram is 360 degrees

If the sum of two angles of the parallelogram is 224 °, the remaining angle will be expressed as:

Other angles = 360-224

Other angles = 136degrees

Hence the sum of other angles of the parallelogram will be 136degrees

I need help im very confused??

Answers

Answer:

C) 15% off with a $15 rebate

Step-by-step explanation:

So a rebate is like a refund which means:

A) 120(.8) = 96         You use .8 because you’re paying 80%

B) 120-30= 90

C) 120(.85) = 102     you use .85 because you’re paying 85%, now

 102-15= 87         Subtract 15 since you get a $15 rebate

D) 120(.9)=108   You use .9 since you are paying 90%

    108-20= 88    Subtract 20 since you get a $20 rebate

since C ended up with the lowest price, the answer is C

The multiples of 4 have an even number in the tens place.What values do they have in the ones place? With multiples of 4 that are larger than 100?

Answers

Answer:

0 , 4 , 8

Step-by-step explanation:

Multiples of 4 = 12,16,18,20, 24, 28.............100, 104, 108, 112, 116,120, 124, 128

Numbers that have even no. in tens = 20, 24 , 28 ... 100, 104, 108, 120 , 124, 128

As evident, all these numbers (including those > 100) have 0, 4, 8 as one's place numbers.

Part A: What is the length of NK? Show your work

Answers

Answer:

the length of NK in the diagram above = 5.9

Answer:

Step-by-step explanation:

What is the missing number? 17- =8​

Answers

Step-by-step explanation:

17-9=8 so your welcome byee

The students in two 7th grade classes were asked, "How many text messages did they send over the past weekend?" The data was collected and a dot plot was created for each class. For what values do class A's distribution and class B's distribution overlap?​

Answers

Answer:

2, 3, 4, and 5

Step-by-step explanation:

Class A and Class B's distributions overlap for the values of 2, 3, 4, and 5. This can be seen in the dot plot below since all of these values have inputs on both of the class' distributions. Values 0 and 1 are not included because they only have inputs for Class A, while values 6 and 7 are not included because they only have inputs for Class B. In order for the values to overlap they need to be included in both class distributions.

Answer:

2,3,4,5

Step-by-step explanation:

Class A and Class B distribution overlap at 2,3,4 and 5 because if you look at both graphs you can see how they both overlap each other.

HELPPP WHAT IS THE ANSWER DONT SENT A FILE PLZ EXPLAIN STEP BY STEP PLZ I DINT HAVE A LOT OF TIME

Answers

Answer:

2nd option

Step-by-step explanation:

Consider the coordinates of T(- 3, 3 ) → T' (3, - 1 )

- 3 → 3 is 6 units right in the positive  x-direction

3 → - 1 is 4 units down in the negative y- direction

Then translation rule is

(x, y ) → (x + 6, y - 4 )

The answer should be the 2nd option

PLEASE HELP RIGHT NOW ASAP I WILL GIVE BRAINLIEST IF CORRECT PLEASE HELP

Answers

1. (-15)^4bc^4 2. (4/9)^11 3. 1/4^4 4. 1/343

Fred purchased a cone filled with cinnamon pieces. The cone is 7 inches tall and has a diameter of 2. How many cubic inches does the cone hold? Leave your answer in terms of pi

Answers

Answer:

V = 9.33 π m³

Step-by-step explanation:

Given: The cone is 7 inches tall and has a diameter of 2

To find: How many cubic inches the cone can hold

Formula: The formula for the volume of a cone is V = [tex]\frac{1}{3} h\pi r[/tex]².

Solution: A cone is a solid that has a circular base and a single vertex. To calculate its volume you need to multiply the base area

(area of a circle: π × r²) by height and by [tex]\frac{1}{3}[/tex]:

volume = ([tex]\frac{1}{3}[/tex]) × π × r² × h.

In terms of pi V = 9.33 π m³

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