Sophie found the volume of the figure below by using the steps shown.
A rectangular prism with a length of 28 millimeters, width of 21 millimeters, and height of 4 millimeters. A rectangular pyramid with a base of 28 millimeters by 21 millimeters and height of 26 millimeters.

Total Volume = B h + one-third B h = 4 (21) (28) + one-third (21) (28) (30) = 2,352 + 5,880 = 8,232 cubic millimeters.

What mistake, if any, did Sophie make?
Sophie determined the volume correctly.
Sophie used the wrong formula for the total volume.
Sophie used the wrong height for the pyramid.
Sophie did not apply the order of operatio

Answers

Answer 1

Answer:

(C) Sophie used the wrong height for the pyramid.

Step-by-step explanation:

she should have subtracted 4 from 30 because that was apart of the prism

Answer 2

The total volume is 7448  cubic millimeters. Sophie has made mistake in copying height of pyramid.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a rectangular prism with a length of 28 millimeters, width of 21 millimeters, and height of 4 millimeters.

Volume of rectangular prism = Length×Width×Height

= 28×21×4

= 2352 cubic millimeters

A rectangular pyramid with a base of 28 millimeters by 21 millimeters and height of 26 millimeters.

Volume of a rectangular pyramid = (lwh)/3

= (28×21×26)/3

= 15288/3

= 5096 cubic millimeters

Total volume = 2352+5096

= 7448  cubic millimeters

Hence, Sophie has made mistake in copying height of pyramid.

To learn more about the volume visit:

https://brainly.com/question/13338592.

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Related Questions

what is the greatest common mutiple of 8 and 50

Answers

Answer:

2

Step by-step explanation:

8/4=2

50/25=2

Answer: 2

Step-by-step explanation:

The factors of 8 are: 1, 2, 4, 8

The factors of 50 are: 1, 2, 5, 10, 25, 50

Then the greatest common factor is 2

Hope this helped<3

f(x) = 7x² + 21x - 70
factor

Answers

Answer:

Step-by-step explanation:

f(x)=7(x^2+3x-10)=7(x+2)(x-5)

The cost of a car rental is ​$45 per day plus 22¢ per mile. You are on a daily budget of ​$78. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other​ two-step inequalities with the same solutions.

Answers

Answer:

Step-by-step explanation:

Answer:

You can drive at the most 150 miles per day

Step-by-step explanation:

Emma is going to invest $5,300 and leave it in an account for 19 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Emma to end up with $7,700?

Answers

Answer: r=2.0%

Step-by-step explanation:

PLEASE HELP TIMED
Do you want to install the updates
Understanding Expressions
Assignment
Active
Explaining Algebraic Expressions
o
Describe the parts of this algebraic expression using the
lesson's vocabulary.
-x+102-3x+y
Done
· 00000000
9 of 10

Answers

Jjbivhvu this need a bit more

What is the square root of 255683

Answers

Answer:

505.651065

Step-by-step explanation:

It will basically be converted into a decimal.

It’s given that Y bisects XZ

-So I just really need the answers for the blanks. If you don’t know the answer that’s fine :)!

Answers

XY≅YZ ; definition of segment bisector

Reflexive Property

XWY ; ZWY ; SAS

CPCTC

I'm pretty sure this is right!!

Two similar triangles have a scale factor of 3:5. Determine whether the
following statement about the triangles is true or false.
The ratio of their perimeters is 3:5

Answers

Answer:

That is statement is true

PLSSSSSSSSSSSSSSS HELP ME ON THIS QUESTION ASAP​

Answers

Answer:

sorry i clciked post by acciden.

Step-by-step explanation:

Unit 4 linear equations homework 12

Answers

Answer:

There's no questions or worksheet attached.

directions: solve each equation below and type your answer in the “answer” (next to the question) column. Type all in answers in decimal form.

Answers

Answer:

4. x=48

5. x=241

6. x=43

7. x=173

9.x=94

10. x=17

Step-by-step explanation:

9. The diagram shows triangle ABC.
Diagram NOT
accurately drawn
15cm
9cm
D
5 cm
AB = 9 cm
BC = 15 cm
D is the point on AC such that AD = 5 cm.
Angle BAC = 90°
Calculate the size of angle x.
Give your answer to the nearest degree.

Answers

Answer:

correct me if I'm wrong? sorry po sa bond paper ko po na drawing

Paul got 15 out of 20 questions correct on his test. What percent of the questions did Paul get correct?

Answers

75%

15/20 = 75/100 (you just have to multiply both top and bottom by five)

Answer:75%

Step-by-step explanation:

To make a fraction into a percent you have to multiply it by 100

So: 15/20 x 100=15x5=75 so he got 75% of his problems right

Shellie purchased 8 grapefruits for $4.89. What is the unit cost?
HELP PLEASE

Answers

The answer is 39.12 hopes this helps

The diameter of a pizza is 14 inches what is the circumference of the pizza use 3.14

Answers

Answer:

43.96 in.

Step-by-step explanation:

A pizza is found in shape. Therefore, we would apply the formula for the circumference of a circle to find the circumference of the pizza.

Circumference = 2πr

r = ½ of diameter = ½*14 = 7 in.

π = 3.14

Circumference = 2*3.14*7

Circumference of the pizza = 43.96 in.

IT WOULD MEAN THE WORLD TO ME IF SOMEONE HELPED< TY IN ADVANCED!

Answers

Answer: 200.96

Step-by-step explanation:

The find the surface area of a circle use its formula

A =4 pi * r^2

A = 4* 3.14 * 4^2

A = 12.56 * 16

A = 200.96

A certain coin is a circle with diameter 36 mm. What is the exact area of each side of the coin?
The exact area of each side of the coin is
mm?

Answers

Answer:

P=36pi

A=3324pi

Step-by-step explanation:

36 diameter so 18 radius but i dont know about what do you mean by side of the coin is it peremeter?

if it is then it is 36 pi

Area will be 18^2 pi which is   324 pi

Please answer this question immediately!!! 11 points!

Answers

Answer:

Answer x=-5

Step-by-step explanation:

4.2 = 1.4y
4.2 - 1.4 = 1.4y - |1.4y
= у
Having trouble dividing with this can anyone help * check the picture pls for the real problem*

Answers

Answer

y = 1.4

I think it will help you..............

When renting a limo for prom, the number of people varies inversely with the cost per person. Originally there were 4 people and the cost per person was $57. If the number of people changed to 12, what would be the new cost per person?

Answers

Answer:The new cost per person= $19 when there are 12 people

Step-by-step explanation:

Step 1

Let Number of people be rep as N

And Cost per person = C

such that the relationship of  number of people which varies inversely with the cost per person is given as

N∝ 1/C

Introducing constant of proportionality, k, we have that

N= K/C

such that when there were 4 people the cost per person was $57, K would be

N= K/C

4 = K /57

k= 57 X 4

k=228

Step 2

Therefore If the number of people changed to 12, cost per person would be

N= K/C

12= 228 / C

C= 228/12

C= 19

The new cost per person= $19 when there are 12 people

What is the value of x? (5 points)

A right angle is shown divided into two parts. The measure of one part of the right angle is 30 degrees. The measure of the other part is 4x

a
15

b
30

c
45

d
60

Answers

It would be A 15 because 90-30=60 and 4•15=60

Answer:

A. 15

Step-by-step explanation:

I took the test, it was correct.

can somebody solve this 45=x-20

Answers

x=65
add 20 to both sides of the equation

hello, I hope your having a nice day! (if not then there will be other sunny days)
but I need someone who could help me solve this problem. :)

Answers

Answer:

-6x^4y^4z^8

Step-by-step explanation:

Help me pls pls pls

Answers

Answer:

1,3

Step-by-step explanation:

1,3

1,3 is the answer __________

3х - 7х + 1
Please help test in 3 min

Answers

Answer:

-4x+1

Step-by-step explanation:

Combine like terms. 3x-7x=-4x

You cannot combine variables with constants.

Answer:

-4x+1

Step-by-step explanation:

3х - 7х + 1

collect like terms

(3-7)x+1

= -4x+1

Slope formula (12,-18),(-15,-18)

Answers

Answer:

M=0

Step-by-step explanation:

there you go almost sure it is

Answer:

rise/run=y2-y1/x2-x1

Step-by-step explanation:

(12,18)

(-15,-18)

Answer:

18+18/12+15= 36/27

or 4/3/ &  1 1/3

-Sumin <3

A history class is made up of 12 tenth graders and 9 eleventh graders. The tenth graders
averaged 77 on the midterm exam, and the eleventh graders averaged 91 on the midterm
exam. What was the average grade on the midterm exam for the entire class?

Answers

Answer:

They average 84%

Step-by-step explanation:

Just add 77 and 91 then divide it by 2. Hope this helps.

Answer:

83 is the correct answer if you just do it by adding 91 and 77 then diving it by 2 you would get 84 that is not what answer they are looking for. Took the test 83 is what they are looking for they want you to do the work.

Step-by-step explanation:

Tenth graders 12*77= 924

Eleventh graders 9*91= 819

924+819= 1,743

12 tenth graders and 9 eleventh graders

12+9 = 21

1,743/21 = 83

In the functions in the table, x is the price of each chair. The functions give the revenue (R) and costs (C) that Carrie’s business can expect in a year at a given price for the item. Use graphing tools to examine the graphs for each set of equations. Then select the correct answer from each drop-down menu.

Answers

9514 1404 393

Answer:

Material 2 can deliver the highest profit of about 3,225,000Material 3 is profitable for the widest range of prices

Step-by-step explanation:

The graphs of profit are shown in the attachment. Each is the difference between the revenue function and the cost function.

Material 2 (blue curve) shows the highest profit.

Material 3 (green curve) shows a profit over the widest range of prices.

A rectangle with an area of 16 square units is drawn on a coordinate grid. The rectangle is
dilated by a scale factor of 1.5 with the origin as the center of dilation.
If (x, y) represents the location of any point on the original rectangle, which ordered pair
represents the coordinates of the corresponding point on the resulting rectangle?
A (16x, 16y)
B (16 + x, 16+y)
C (1.5x, 1.5y)
D (1.5 + x, 1.5 + y)

Answers

Answer:

Just multiply x and y by the scale factor

Step-by-step explanation:

The corresponding points on the resulting rectangle will be 1.5x and 1.5y. Hence, option C is correct.

What is the area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure. The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.

As per the data given in the question,

The area of the square is 16 square units.

Now, the scale factor is 1.5.

Then, the corresponding point at the x-axis will be 1.5x

Also, the corresponding point on the y-axis will be 1.5y.

To know more about the area:

https://brainly.com/question/27683633

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Whats 1/4+9/58*1/2 ???

Answers

Answer: 0. 327

Step-by-step explanation:

I just used a demos calculator I suggest using demos scientific calculator.

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