The dimensions of two square pyramids formed of sand are shown. How much more sand is in the pyramid with the greater volume?

Answers

Answer 1

Answer:

The pyramid with the greater volume has 5in^3 more sand

Step-by-step explanation:

Given

Pyramid A

[tex]B = 25in^2[/tex] -- Base Area

[tex]h = 9in[/tex] --- height

Pyramid B

[tex]B = 30in^2[/tex]

[tex]h = 7in[/tex]

See attachment for pyramids

The volume of a square pyramid is:

[tex]V = \frac{1}{3}Bh[/tex]

First, calculate the volume of pyramid A

[tex]V_A = \frac{1}{3} * 25in^2 * 9in[/tex]

[tex]V_A = 25in^2 * 3in[/tex]

[tex]V_A = 75in^3[/tex]

Next, the volume of pyramid B

[tex]V_B = \frac{1}{3} * 30in^2 * 7in[/tex]

[tex]V_B = 10in^2 * 7in[/tex]

[tex]V_B = 70in^3[/tex]

To calculate how much more sand the greater pyramid has, we simply calculate the absolute difference (d) between their volumes

[tex]d = |V_B - V_A|[/tex]

[tex]d = |70in^3 - 75in^3|[/tex]

[tex]d = |- 5in^3|[/tex]

[tex]d = 5in^3[/tex]

The Dimensions Of Two Square Pyramids Formed Of Sand Are Shown. How Much More Sand Is In The Pyramid

Related Questions

Please hurryyyyy !!!! What's the slope and y intercept of 4y = 2x - 12

Answers

Answer:

slop is 0.5 and intercept of y is -3

Answer:

½ is the slope,-3 is the intercept

Step-by-step explanation:

now to find the slope and intercept

we use the equation,

y=mx + c

where m is the slope

and c is the y intercept

so we compare 4y=2x-12 to the equation

but we first have to make y the subject of the equation in the question – 4y is already the subject –

y=2x-12/4

y=2x/4 -3

comparing...

we see that m is 2/4=½ c= -3

May someone please help me with this :)

Answers

Answer:

3,080 cm

Step-by-step explanation:

simple -. -

Solve the inequality for d

df+9h>2

Answers

Answer:

d=2_f - 9h_f

Step-by-step explanation:

es la segunda opción

. A rectangle's length is 1 feet shorter than 3 times its width. If we use w to
represent the rectangle's width, use a polynomial to represent the
rectangle's area in expanded form.
area =
square feet

Answers

Answer:

Step-by-step explanation:

w is the width of the rectangle, then the length would be 3w - 1.

A = lw

A = w(3w - 1)

A = 3w² - w


what’s the measure of angle B?

Answers

Answer:

60°

Step-by-step explanation:

∠B=(240-120)/2=120/2=60°

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Answers

Answer:

A would be the answer I would choose

Write the equation of the line based on the given information explain the answer in slope intercept form

Answers

Answer:

y = 2/3 x - 3

Step-by-step explanation:

substitute the given slope and the coordinate into the slope-intercpet form:

y = mx + b  to solve for b,

-1 = 2/3(3) + b

=> b = -3

y = 2/3 x - 3

PLZ ANSWER THIS CORRECTLY FOR 100 POINTS AND BRANLIEST :DD

Answers

#x

2x+30+62=1802x+92=1802x=88x=44

Angle 1

2(44)+3088+30118°

Angle 2

62°(Opposite angles)

Answer:

A)  x = 44

B)  m∠1 = 118°

    m∠2 = 62°

Step-by-step explanation:

Part A

Angles on a straight line sum to 180°

⇒ (2x + 30) + 62 = 180

⇒ 2x + 30 + 62 = 180

⇒ 2x + 92 = 180

⇒ 2x = 88

⇒ x = 44

Part B

Vertical Angle Theorem:  The opposite vertical angles of two straight intersecting lines are congruent.

⇒ m∠1 = (2x + 30)

Substituting the found value of x:

⇒ m∠1 = 2(44) + 30

⇒ m∠1 = 88 + 30

⇒ m∠1 = 118°

Using the Vertical Angle Theorem:

⇒ m∠2 = 62°

I'm confused math 7th grade pls help im confused

Answers

Answer:

10

Step-by-step explanation:

Is 7n+6 equal to 13n?

Answers

Answer:

No

Step-by-step explanation:

Say n was equal to 2

7(2) + 6 =20

13(2) = 26

Pls hurry!! It’s a quick question

Answers

Answer:

3/2

Step-by-step explanation:

x/2 + 4 < 18
What is the value of x?
And what does the point on the number line look like?
Someone help me

Answers

Answer:

28 hey hello how you doing the answer is 28

Mia is working two summer jobs, making $11 per hour babysitting and making $20 per hour lifeguarding. In a given week, she can work a maximum of 15 total hours and must earn no less than $220. If x represents the number of hours babysitting and y represents the number of hours lifeguarding, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer: 11x + 20y ≥ 220

x + y ≤ 15

Hope this helps

9514 1404 393

Answer:

x + y ≤ 1511x +20y ≥ 2203 hours babysitting and 11 hours lifeguarding

Step-by-step explanation:

The two inequalities represent the two relations described in the problem statement.

  x + y ≤ 15 . . . . . . . Mia works a maximum of 15 hours

  11x + 20y ≥ 220 . . . . Mia makes at least $220

These are graphed in the attachment. The solution area is the doubly-shaded area with vertices at (9, 6), (0, 11) and (0, 15). One possible solution is shown at (3, 11), which represents ...

  3 hours babysitting

  11 hours lifeguarding . . . . . . . . total 14 hours for $253

What is the area of the triangle?
5
4
3
units2

Answers

Answer:

area of triangle =1/2 p×b=1/2×4×3=6unit²

April has 6 fruit bars.she cuts them into halves. how many 1/2 size bar pieces does she have

Answers

Answer:

12

Step-by-step explanation:

If you cut them into halves then there will be twice as many pieces.

so you do:

6 x 2

= 12

what is the value of A and B (5x + b)(5x - b) = ax^2 - 49

Answers

Answer:

a=25

b=7

Step-by-step explanation:

A restaurant used 231 eggs last week. 46 of them are colored white, w. The remaining eggs are colored brown.Write an equation that represents the situation.

Answers

Answer:

46 + W = 231

Step-by-step explanation:

Answer:

231-W=amount of brown eggs (185)

Step-by-step explanation:

Given y varies directly as x, find the constant of variation k.

Answers

Answer:

y=k×x

so k =-1/2

ie: -1=-1/2(2)

-1=-1

hope this helps hshshsjjss

What is the value of 4/15 ➗ 2/3?

Answers

Answer:

2/5, option 4.

Step-by-step explanation:

When you are dividing 2 fractions, the first fraction stays the same, and the 2nd fraction becomes the reciprocal, and the division sign becomes a multiplication sign.

The reciprocal of 2/3 is 3/2.

Now you need to change the division sign to a multiplication sign.

The equation will now become 4/15 x 3/2.

4 times 3 is 12, and 15 times 2 is 30.

12/30 isn't an option, so you will need to simplify.

Find a common factor, then divide.

6 is a common factor, so you divide both 12 and 30 by 6, to get 2 and 5.

2/5 is what you are left with.

Option 4.

4/15 divided by 2/3 is 2/5.

Answer:

hi

Step-by-step explanation:

[tex] \frac{4}{15} \div \frac{2}{3} = \frac{4}{15} \times \frac{3}{2} = \frac{2}{5} [/tex]

have a nice day

ASAP‼️ DUE TONIGHT❕‼️

Answers

Answer:

99.95 yd

Step-by-step explanation:

Used the formulas

C=2πr

d=2r

What are closing costs and how do you calculate closing costs?

Answers

Answer:

Closing costs are fees paid at the closing of a real estate transaction. Typically home owners will pay between 2 to 5 percent of the purchase price of their home in closing fees. So, if your home cost $150,000, you might pay between $3,000-$7,000 in closing costs.

Find the unit rate for each, then compare. Which is faster?
8 laps in 70 seconds
12 laps in 98 seconds.

Answers

Answer:

8 laps in 70 seconds is faster.

Step-by-step explanation:

If we divide 70/8 and 98/12 we get the following:

70/8= 8.75

98/12=8.16

8.75>8.16

The unit rate is 1 lap in 8.75 seconds and 1 lap in 8.16 seconds

50 POINTS! Name a pair of whole numbers that have a geometric mean of 4.

How many pairs of rational numbers have a geometric mean of 4?

please help and don't say something random just for the points :)​

Answers

Answer:

0, 16

1, 15

2, 14

3, 13

4, 12

5, 11

6, 10

7, 9

8, 8

Step-by-step explanation:

Any two numbers that have the product of positive 16 have a geometric mean of 4.

Which of the expressions below is equal to 10x+30? Select all that apply.

Answers

The answer is a because you have to put it in parenthesis

Jennifer painted a tabletop that is shaped like a circle. the circumference of the tabletop is 6π. Which measurement is closest to the area of the tabletop in square feet?

Answers

28.26 sq. Ft is the area of the table top

28.26 sq. Ft is the area of the table top

please help me do it

Answers

4x+1=5x-5
6=x
This is because you subtract 4x from 5x and get 1x and add the -5 to the other side

You deposited $700 in a savings account 4 years ago. The simple interest rate you earn is 4%. What is the amount of interest that you earned in those 4 years?

Answers

Answer: $112

Step-by-step explanation:

700x0.04=28x4=112

OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS- PLSS TELL ME WHAT TO DRAW

Answers

Answer:

Step-by-step explanation:

Answer:

13107 employees

A. The picture

B. 10,972 + 2,135 = n

13107 = n

Step-by-step explanation:

10,972 + 2,135 = 13107

What should be drawn is in the photo.

NO LINKS PLEASE JUST THE ANSWER TEHEHHE THANKSSSS :))))
A square and rectangle are shown below. The width of the rectangle is the same as the length of a side of the square, both represented by x. The length of the rectangle is one foot more than twice its width. The perimeter of the rectangle is 26 feet more than that of the square.

A). Write an expression for the length of the rectangle in terms of x. Label the drawing

B). Show that 5 could not be the value of x

C). Set up an equation and solve it to find the value of x

THANKS FOR THE HELP!!!

Answers

Answer:

Since this is a multi-part question, just look at the bolded parts under each letter. I hope this helps a bit ;)

Step-by-step explanation:

A)  

All sides of a square are congruent. "s" represents the square's perimeter:

s=4x.

"r" is the rectangle's perimeter:

r= 4x+26

since the perimeter = 2W + 2L:

2W + 2L= 4x+ 26

and W=x, so:

2x + 2L= 4x + 26

Subtract from both sides:

2L= 2x +26

Divide both sides:

the length of the rectangle "L"= x +13.

B) Plug 5 into the equations:

L= 5+ 13 or 18.

2(18) + 2(5)= r

36+ 10 = r or 46

s= s+ 26

s= 46-26 or 20.

20/4= 5...

It seems (at least to me, feel free to give constructive criticism) that the only logical conclusion is that 5 could be the value of x.

C) You would likely need to use substitution to solve, but unless I am much mistaken, this looks like an infinite-solutions equation.

L=w+13

HELP PLEASE!! WILL CROWN BRAINLIEST.....
On October 1, Gary’s bank balance was $130. During October, he made two
withdrawals and one deposit. At the end of the month, his bank balance was
$95. List two withdrawals and one deposit that would give this final balance.

Answers

Answer:  i am not sure but thanks for the points have a good day

Step-by-step explanation:

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