A sculptor plans to ship the pyramid shown in one of three boxes. The interior of the pyramid holds 4,500 cm3 of water. The base is an isosceles trapezoid. Into which boxes will the pyramid fit? Drag “yes” or “no” to each box height.

A Sculptor Plans To Ship The Pyramid Shown In One Of Three Boxes. The Interior Of The Pyramid Holds 4,500

Answers

Answer 1

Answer:

28 cm and 32 cm

Step-by-step explanation:

Volume of the pyramid:

V = 1/3Bh

Find base area:

B = 1/2(20 + 30)*20 = 500 cm²

Substitute value of the volume and find the height of the pyramid:

4500 = 1/3*500*hh = 4500*3/500h = 27 cm

The boxes with h > 27 can fit the pyramid:

28 cm and 32 cm
Answer 2

Area of base

1/2(30+20)(20)10(50)500cm²

Volume=1/3Area×Height

Height

4500(3)(500)27cm

So answers are

boxes of 28cm and 32cn


Related Questions

What would x equal for this triangle side

Answers

Answer:

x=44

Step-by-step explanation:

180-89=91

180-91-45=44

x = 44 i believe.

explanation: 89 - 45 = 44

Identify the terms and like terms in the expression. x² - 3x + 4 + 2x² - x - 12. Thank you to anyone who helps, I appreciate it :)

Answers

Given:

The expression is:

[tex]x^2-3x+4+2x^2-x-12[/tex]

To find:

The terms and like terms in the expression.

Solution:

Terms: Variables, constants and product of variable and constants are known as terms which are separated by addition sign "+".

Like terms: The terms which contain same variables with same power are known as like terms.

The given expression is:

[tex]x^2-3x+4+2x^2-x-12[/tex]

It can be rewritten as:

[tex]x^2+(-3x)+4+2x^2+(-x)+(-12)[/tex]

Terms are [tex]x^2,-3x,4,2x^2,-x,-12[/tex].

Like terms are [tex]x^2,2x^2[/tex] and [tex]-3x,-x[/tex] and [tex]4,-12[/tex].

A pillow contains 8 ounces of stuffing.

How many ounces would 4 of the pillows contain?

Answers

Answer:

32 ounces

Step-by-step explanation:

8x4=32

There are 32 ounces of stuffing in 4 of the pillow.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A pillow contains 8 ounces of stuffing.

Now,

Since, A pillow contains 8 ounces of stuffing.

So, The amount of ounces in 4 of the pillow = 8 x 4

                                                                    = 32

Thus, There are 32 ounces of stuffing in 4 of the pillow.

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what times itself equal 53.38

Answers

7.306 x 7.306 = 53.377 which is rounded up to 53.38. I hope this helped!!!

Sheldon made a deposit into an account that earns 8% simple interest. After 8 years Sheldon earns $800. What was his initial deposit?

Answers

Answer:

$1250

Step-by-step explanation:

Given data

Rate= 8%

Time= 8years

Simple interest= $800

Required

The principal P

We know that the expression for simple interest is given as

SI=PRT/100

substitute

800= P*8*8/100

cross multiply

800*100= 64P

80000=64P

divide both sides by 64

P= 80000/64

P=$1250

Hence the initial deposit was $1250

100 POINTS
please help !

Answers

Answer:

Why are circles so important to these constructions write out a concise explanation of the importance of circles in creating equilateral triangles Why did Euclid use circles to create his equilateral triangles in Proposition 1 How does construction of a circle ensure that all relevant segments are of equal?

Connect O to P.

Construct bisector of .

Place compass point at midpoint of. ...

Draw circle.

Connect P to where the two circles intersect to create tangents.

Step-by-step explanation:

hope i helped:)

Answer:

Sorry po idont know po ehhh

Dan has a piece of wood that is 3 feet long. He needs a piece that is 2 feet 5 inches long for a science project. How many inches of wood will be left after Dan cuts off the piece he needs for his project? ​

Answers

Answer: 7 Inches left

Step-by-step explanation:

1 foot is 12 inches

12 inches minus 5 = 7

subtract the 2 feet from 3

7 inches left

Read each item. Choose S if the item is a complete sentence or F if the item is a fragment. John wished him well.

Pls I need it now!

Answers

Accοrding the given question "Jοhn wished him well" is a fragment. Thus,  the correct answer is F.

What is a fragment?

A fragment differs frοm a complete sentence because fragments do not express a complete idea οr include both a subject and a verb that are necessary for a sentence, instead fragments tend tο include only a subject or only a verb alοng with other words that complete them.

In the case of "Scurried acrοss the field" this item is a fragment (F) because it cοntains the main verb "scurried" that means to rush alοng with other wοrds that complete the meaning οf the verb "across the field" but it dοes not contain a subject or specifies who or what was hurrying.

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Complete question:

Read each item. Choose S if the item is a complete sentence or F if the item is a fragment. John wished him well.

A. S

B. F

Hi! Please explain how you got the answer, thanks! :)

Answers

D
p would be how many hours Colin read for and if you multiply it you would get the amount of pages they already read and you would have to subtract it from the amount of pages in total

PLZ HELP A WEEB OUT!!! WILL GIVE BRAINLIST

Answers

She used the diameter instead of the radius :) instead of cubing 8 she should’ve cubed 4

Write the equations of 2 straight lines which are perpendicular to y = -3x +0.5.

Answers

Answer:

y = (1/3)x + 7

y = (1/3)x - 15

These are two examples out of an unlimited number of possibilities.

Step-by-step explanation:

The slope of this given line is -3.  Any new line perpendicular to this one is the negative reciprocal of -3:  1/3.

The slope-intercept form is y = mx + b.  Here m = 1/3, so the revised form is

y = (1/3)x + b.

Two straight lines perpendicular to the given line are easily found by selecting two different values for b:

y = (1/3)x + 7

y = (1/3)x - 15

How would it be solved ?

Answers

Answer:

m<1=1/2 216 =108

then 2 is 180 -108 =72

In ΔGHI, the measure of ∠I=90°, the measure of ∠G=76°, and IG = 6.2 feet. Find the length of HI to the nearest tenth of a foot.

Answers

plato says 11.5° hope that helps

Answer:

11.5

Step-by-step explanation:

please help, thank you!

Answers

Answer is D.

Explanation: if you draw a line from E to the other side, you can fine the missing angle. C=57 the corner we made with the line= 90. If you minus those from 180, you’ll get 33. And since we drew that line, A-E is now 90 degrees. If you plus 90 and 33, it gives you 123 degrees. There for AED=123 degrees.

Simplify the expression
-7(1+3x)

Answers

Answer:

-21x-7

Step-by-step explanation:

At a publishing company 60% of the editors are female.
30% of the female editors and 20% of the male editors have a maths degree.
What percentage of all the editors have a maths degree?

Answers

0.3 percent because 50% of 60% is 0.3%

2 The Lee family drove 450 miles in 6 hours. If they drove at this rate of speed the entire time,
how far did they go in 4 hours?
birto the

Answers

Answer:

300

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total miles = 450

Unit rate = 450 ÷ 6 = 75 miles

Distance in 4 hours = 75 x 4 = 300 miles

The Lee family drove 300 miles in 4 hours

I need help with these questions! My teacher didn’t teach me how to do these-

Answers

Answer:

Graph A has infinite solutions, Graph B has one solution, and Graph C has no solutions

Step-by-step explanation:

Malia and Omar want to find the shortest route from their school to a local burger

hangout. The length of Route A is 1.5 times the length of Route B and ¾ the

length of Route C. If Route C is 3 kilometers long, then Route A is how many

kilometers longer than Route B?

Answers

Answer:

Route A is 0.75 km longer than route B.

Step-by-step explanation:

Length of route A is 1.5 times the length of route B.

a = 1.5b

[tex]\frac{a}{b}=\frac{15}{10}[/tex]

[tex]\frac{a}{b}=\frac{3}{2}[/tex] --------(1)

Here, a = Length of route A

b = Length of route B

Length of route A is [tex]\frac{3}{4}[/tex] of route C.

a = [tex]\frac{3}{4}c[/tex]

[tex]\frac{a}{c}=\frac{3}{4}[/tex] ------(2)

Here, c = Length of route C

Length of route C = 3 km

Length of route A = [tex]\frac{3}{4}\times 3[/tex] [From equation (2)]

                             = 2.25 km

Length of route B = [tex]\frac{2}{3}\times 2.25[/tex] [From equation (1)]

                             = 1.5 km

Difference in route A and route B = 2.25 - 1.5

                                                       = 0.75 km

Therefore, route A is 0.75 km longer than route B.

Type the missing number in this sequence:

6, 36, 216,
, 7,776, 46,656

Answers

Answer:

1,296

Step-by-step explanation:

The answer is 1,296 because the numbers are going in the order of powers:

6^1 = 6

6^2 = 36

6^3 = 216

6^5 = 7,776

6^6 = 46,656

The power that is missing is 6 to the 4th power, which, when calculated, would be 1,296.

So, the answer would be 1,296

slope: -1 intercept: -7.9

what is the answer:

y = -x - 7.9

y = x - 7.9

y = -x + 7.9

y = -4/3 - 7.9

Answers

Answer:

y = -x - 7.9

Step-by-step explanation:

Given:

m = -1

b = -7.9

y = mx + b

y = -x - 7.9

y= -x -7.9 is your answer cause your x should equal go 1

Gina is cleaning her closet and wants to know how much floor space she has. Her closet floor is a

3 1/2 ft by 4 1/3 ft rectangle. What is the area of her closet door

Answers

Answer:

15(1/16)  square feet

Step-by-step explanation:

3 1/2 = 7/2

4 1/3= 13/3

7/2 x  13/3  =  91/6  =  15(1/6)

There are 15 pieces of fruit in a bowl and 40% of them are apples.
How many of the pieces of fruit in the bowl are apples?

Answers

Answer:

six out of the fifteen are apples

what is the area of the triangle? ​

Answers

Answer:

21

Step-by-step explanation:

10^2-8^2=36

square root of 36=6

height=6

6x7x1/2=21

1. Matt used a cup shaped like a cylinder to drink his morning milk. The dimensions of
the container are shown below.
width- 8 cm
height-12cm
Which measurement is closest to the area of the base of the container in square
centimeters?

Answers

Answer:

50.29 cm²

Step-by-step explanation:

Base area of a cylinder = πr²

π = 22/7

r = radius

For circular objects, the width is the same as the diameter of the object

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = 8/2  = 4cm

Base area = (22/7) x 4² = 50.29 cm²

Confused so help needed. On a number line where would 6/10 be located choose all answers that make a true statement 

Answers

Answer:

A,B, C are right!

Step-by-step explanation:

If you were to plot those numbers on the line, it would be true!

Good Luck!!!!!

Answer:

A,B,C

Step-by-step explanation:

I just took the test and i got it right so...wanted to share the correct answer :D

help pls! 50 pts and brainliest!
tyyyy

Answers

Answer:

D.

Step-by-step explanation:

(1/6)*60 = 10

(1/6)*450 = 75

Check your work

75/10 = 7.5

450/60 = 7.5

Correct!

Answer:

vvvvvv

Answer is D)

help me please? statistical measures

Answers

Answer:

STATISTICAL MEASURES

Step-by-step explanation:

A list of 5 numbers is shown below.
0, 3, 7, -6, -12.3
Which set contains all the numbers in the list?
A integers
B whole numbers
C natural numbers
D rational number

Answers

Answer is D:  rational number

Step-by-step explanation:

The given number is the element of the set of rational numbers. option D is correct.


Given that,
A list of 5 numbers is shown below. 0, 3, 7, -6, -12.3, which set contains all the numbers in the list is to be determined.

What is a rational number?

In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.

What are irrational numbers?

An irrational number is a type of real number which cannot be represented as a simple fraction or the values that have face value are irrational numbers. Example: √2, √3, and π are all irrational.

Here,
Since the number are of negative and contain such as -12.3 thus these all belong to the set of rational numbers.

Thus, the given number is the element of the set of rational numbers.

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Sue earns $15.00 for each catering job she gets, plus and additional 5 dollars for each hours she works

Answers

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but let me help out. The equation that will be used to calculate the amount earned for the hours used will be:

= 15 + (5×h)

= 15 + 5h

Let's assume that Sue works for 6 hours, the amount that she'll earn will be:

= 15 + 5h

= 15 + 5(6)

= 15 + 30

= $45

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