The volume of a rectangular pyramid is 220 units^3
3
. If the length of the rectangular base measures 6 units and the width of the rectangular base measures 10 units, find the height of the pyramid.

Answers

Answer 1

Answer:

h = 11 units

Step-by-step explanation:

Volume of a Rectangular Pyramid = lwh/3

220 = 6*10*h/3

(220) * (3) =  ((6)*(10)*(h) / 3) * 3

660 = (6) (10) (h)

Simplify both sides of the equation.

660 = 60h

h = 11 units


Related Questions

What are the last two digits of 1 * 2 * 3 * 4 *...*2319*2320*2321*2322 ?

Answers

Answer:

1:19

2:20

3:21

4:22

Step-by-step explanation:

I think that's the answer

Need urgent help!! It would be really appreciated if someone could help!!

Answers

Answer:

[tex]C)~ 10.06~ m[/tex]

Step-by-step explanation:

[tex]~~~~~~\sin 8^{\circ} = \dfrac{1.4}{y}\\\\\implies y = \dfrac{1.4}{\sin 8^\circ}\\\\\implies y \approx 10.06~ m[/tex]

What is this expression in simplified form?
2√2-7√18

Answers

Answer: Heyaa! ~

Your Answer in simplified form is... −19√2

Step-by-step explanation:

2√2-7√18 = −19√2

Pull terms out from under the radical, assuming positive real numbers.

Hopefully this helps you! ~


Find the measure of angle b.
29°
61
71
141
151

Answers

61°
Subtract 90 minus 29. You get 61°
Making sense?

Is 4,-1 a solution to y+1=3(x-4)

Answers

no it is not a solution so sad for you :(

Answer

I don’t quite understand what your asking but I hope this helps

y=3x-13

Step-by-step explanation:

sally works in a factory that produces 1,000 televisions each day. when 40 televisions were sampled, it was found that 6 were defective. estimate how many defective televisions are made each day

Answers

An estimate of the number of defective televisions that are made each day is 150.

How many defective televisions are made each day?

The first step is to determine the ratio of the televisions sampled to the total number of televisions produced each day.

1000 / 40 = 25

The second step is to multiply, 25 by 6: 25 x 6 = 150

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In a sale is 25% off all prices but cost £33 in the sale how much was it before the sale

Answers

The original cost was it before the sale will be £ 26.4.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio.

In a sale is 25% off all prices but cost £33 in the sale.

Then the original cost was it before the sale will be

Let x be the original cost.

Then we have

1.25x = £33

      x = £26.4

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For the polynomial function, find the requested value: f (x) = 10x2 − 4x − 5; f (−2)

Answers

Answer:

So first we substitute -2 for x

f(-2) = 10(-2)^2 - 4(-2) - 5

f(-2) = 400 + 8 - 5

f(-2) = 400 + 3

f(-2) = 403

Step-by-step explanation:

2/3 of a number is 48. What is 1/4 of the number ?

Answers

Answer:

your answer will be 18

Step-by-step explanation:

2/3 of 72 is 48,  1/4 of 72 is 18

i need some extra words here so hopefully this works

It makes that every time we flip a fair the probability of flipping tails is

Answers

It makes that every time we flip a fair the probability of flipping tails is 50%.

What is the probability?

Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. If it is equally likely and unlikely that the event would happen, it would have a probability of 0.5

Probability of flipping tails = number of tails / number of sides

1/2 = 0.5 = 50%

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Can anyone help? 80 points!

Answers

Answer:

D) [tex]4x^2y^3\sqrt[3]{x^2y}[/tex]

Step-by-step explanation:

Given expression:

[tex](8x^4y^5)^{\frac{2}{3}[/tex]

Simplify in steps, using below properties of exponents:

[tex]a^ba^c= a^{b+c}[/tex]       Product of Powers Property[tex](a^b)^c=a^{bc}[/tex]        Power of Power Property

Solution:

[tex](8x^4y^5)^{\frac{2}{3} =[/tex][tex](2^3x^4y^5)^{\frac{2}{3} =[/tex][tex]2^{\frac{3*2}{3}} x^{\frac{4*2}{3}} y^{\frac{5*2}{3}} =[/tex][tex]2^2x^{\frac{8}{3}}y^{\frac{10}{3} =[/tex][tex]4x^{2\frac{2}{3}}y^{3{\frac{1}{3} =[/tex][tex]4x^2x^{\frac{2}{3}} y^3y^{\frac{1}{3}} =[/tex][tex]4x^2y^3(x^2y)^{\frac{1}{3}}=[/tex][tex]4x^2y^3\sqrt[3]{x^2y}[/tex]

Correct choice is D

Answer:

[tex]4x^2y^3\sqrt[3]{x^2y}[/tex]

Step-by-step explanation:

Given expression:

[tex]\left(8x^4y^5\right)^{\frac{2}{3}}[/tex]

Rewrite 4 as (3 + 1) and 5 as (3 + 2):

[tex]\implies \left(8x^{(3+1)}y^{(3+2)}\right)^{\frac{2}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]

[tex]\implies \left(8x^3xy^3y^2}\right)^{\frac{2}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 8^{\left(\frac{2}{3}\right)}x^{\left(3 \times\frac{2}{3}\right)}x^{\left(\frac{2}{3}\right)}y^{\left(3 \times \frac{2}{3}\right)}y^{\left(2 \times \frac{2}{3}\right)}}[/tex]

[tex]\implies 4x^2x^{\frac{2}{3}}y^2y^{\frac{4}{3}}[/tex]

[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^{\frac{4}{3}}[/tex]

Rewrite 4/3 as 1 + 1/3:

[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^{\left(1+\frac{1}{3}\right)}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]

[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^1y^{\frac{1}{3}}[/tex]

[tex]\implies 4x^2y^2y^1x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]

[tex]\implies 4x^2y^{(2+1)}x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]

[tex]\implies 4x^2y^3x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]

[tex]\implies 4x^2y^3\left(x^2\right)^{\frac{1}{3}}y^{\frac{1}{3}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot c^b=ac^b:[/tex]

[tex]\implies 4x^2y^3\left(x^2y\right)^{\frac{1}{3}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{\frac{1}{n}}=\sqrt[n]{a}:[/tex]

[tex]\implies 4x^2y^3\sqrt[3]{x^2y}[/tex]

Which parent function is f(x)=|x|?
A The linear parent function
B The quadratic parent function
C An exponential parent function
D The absolute parent function

Answers

I think it’s A tbh because f(x) goes into 1. And that becomes a straight line. And linear is a straight line.


What is the solution set for the following equation?
x² = 16

Answers

Answer:

[tex]\{4,-4\}[/tex]

Step-by-step explanation:

[tex]~~~~x^2 = 16\\\\\implies x = \pm\sqrt{16}\\\\\implies x =\pm 4\\\\\implies x = 4 ,~ x = -4[/tex]

Answer:

x = 4

Step-by-step explanation:

x² = 16

We do the opposite of x² , so we [tex]\sqrt{x}[/tex] (square root) both sides

[tex]\sqrt{x}[/tex] = [tex]\sqrt{16}[/tex] = 4

to confirm this, we can square 4, which gets us 16.

Hope this makes sense! Feel free to ask anything further if need be.

- profparis

Segment GH is shown on the graph.

What are the coordinates of the point that divides the
segment into a 3:2 ratio?
O (-7.5, 0.5)
O (0.5, -7.5)
O (-1.2,-2.2)
O (-2.2,-1.2)

Answers

The coordinates of the point that divides the segment into a 3:2 ratio is (-2.2, -1.2)

How to determine the coordinate?

The points are given as:

G = (-4,3)

H = (-1,-4)

Ratio, m : n = 3 : 2

The coordinate of the point is calculated using:

[tex](x,y) = \frac{1}{m + n} * (mx_2 + nx_1, my_2 + ny_1)[/tex]

This gives

[tex](x,y) = \frac{1}{3 + 2} * (3 * -1 + 2 * -4, 3 * -4 + 2 * 3)[/tex]

Evaluate

[tex](x,y) = \frac{1}{5} * (-11, -6)[/tex]

Evaluate the product

(x,y) = (-2.2, -1.2)

Hence, the coordinate of the point is (-2.2, -1.2)

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The train at the zoo holds 36 people. Each row of seats in the train holds 4 people. How many rows of seats are there in the train?

Answers

The answer is 9 because 4x9 is 36

PLEASE HELP WILL PICK BRAINLIEST!!! 50 POINTS!!!!

AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides in AB a 1:2 ratio?

Answers

Answer:

See below ~

Step-by-step explanation:

Applying section formula :

⇒ x = 1(14) + 2(2) / 1 + 2 = 18/3 = 6

⇒ y = 1(14) + 2(2) / 1 + 2 = 18/3 = 6

We understand after substituting the values of the endpoints in the section formula that the Point X divides the line in the ratio 1 : 2.

Which choice represents the fraction below as a single exponential
expression?
88
O A.
(3)
OB. 811
O C. 3
OD. 85

Answers

Answer:

8^5

Step-by-step explanation:

division is just minusing exponents

The correct value of this expression is 8⁵

A fraction is also a division. When we divide power with equal bases - we subtract the exponents and keep the base.

Resolution = 8⁸/8³= 8⁸÷³= 8⁵

Therefore, the answer correct is 8⁵

Julieta models a can of ground coffee as a right cylinder. She measures its height as 6 1/4 in and its radius as 1 in. Find the volume of the can in cubic inches. Round your answer to the nearest tenth if necessary.

Answers

The volume of the cylindrical can of ground coffee is 19.6 inches cube.

How to find the volume of a cylinder?

volume of the can ground coffee = πr²h

where

r = radiush = height of the cylinder

Therefore,

r = 1 inches

h = 6 1 / 4 = 25 / 4 inches

volume of the can ground coffee = 3.14 × 1² × 25 / 4

volume of the can ground coffee = 78.5 / 4

volume of the can ground coffee = 19.6 inches³

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PLEASE HELP ITS THE LAST QUESTION I NEED AND THEN ILL BE FINISHED WITH THIS UNIT!!!!! 40 POINTS!!!!

Answers

Answer:

First is b; because [B1] is [A1] multiplied by -4

Second is c; because [C2] = 7[B1] + [B2]

you put $2012 into an account earning 4.345% interest compounded daily. find the amount in the account at the end of 8 years

Answers

y = P(1+(r/365))^365t

y = 2012(1+(0.0435/365))^365(8)

plug into calculator

answer: $2849.4

an airplane is flying at the height of 10 km above the ground the distance along the ground from the airplane to the airport is 10√3 km . what is the angle of depression from the airplane to the ground​

Answers

The angle of depression from the aeroplane to the ground​ will be 30 degrees.

What is trigonometry?

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

Given that:-

An aeroplane is flying at the height of 10 km above the ground the distance along the ground from the aeroplane to the airport is 10√3 km

The angle of depression will be calculated as the angle between the horizontal and the height of the plane as shown in the figure below.

As we know that the perpendicular theta is height and the base ratio is angle tan theta.

tanФ = Height / Base

tanФ  = 10 / 10 √3

tanФ = 1 / √3

Ф = tan⁻¹( 1 / √3 ) = 30°

Therefore the angle of depression from the aeroplane to the ground​ will be 30 degrees.

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0=x^2- 10x+10
Rewrite the equation by completing the square

Answers

[tex]~~~~~~x^2 -10x +10 =0\\\\\implies x^2 -2 \cdot 5 \cdot x +5^2 -5^2 +10 = 0\\\\\implies (x-5)^2 -25+10 = 0\\\\\implies (x-5)^2 -15=0\\\\\implies (x-5)^2 = 15[/tex]

Select the correct answer from each drop-down menu. policy is the actions taken by the to influence the real gdp and the inflation rate in the economy.

Answers

Monetary policy is the actions taken by the reserve banks to influence the real GDP and the inflation rate in the economy.

What is Monetary policy?

These are actions done by the central bank of a country and involves adjusting money supply so as to achieve economic growth.

This influences the real gross domestic product and inflation rate of the country .

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Answer: Monetary and Reserve Bank

Step-by-step explanation:

;)

What is the answer for this question


__ hundreds= 90 tens

Answers

Answer:9 hundreds

Step-by-step explanation:

One hundred is 10 tens. Using this information, you can divide 90 by 10 to calculate the hundreds, and get 9 hundreds, or 900

Which graph represents the function f(x))=2•(1/3)^x

Answers

Answer:

The one in the right top hand corner. It shows one arrow pointing up and one to the right.

Step-by-step explanation:

I can't really explain it.

Does the graph show a linear function?

Answers

Answer:

The graph does show a linear function

Step-by-step explanation:

The line is decreasing at a constant rate that keeps the line straight.

A regular pentagon and a square share a mutual vertex B. The sides AB and BC are sides of a third regular polygon with vertex B. How many sides does this polygon have?

Answers

There are different kinds of polygon. The number of sides that this polygon have is 5.

What is the polygon about?

Note that the side of each polygon = 3.5

The parameter of  polygon  =17.5

Therefore the number of sides =  parameter of  polygon /  parameter of  polygon  

So =      [tex]\frac{17.5}{3.5}[/tex]

=5

Therefore, The number of sides that this polygon have is 5.

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In which portion of elgin’s presentation does this information fit? the overview of the situation a solution to the problem an effect of the solution an effect of the problem

Answers

A portion of Elgin’s presentation which the given information fits is: B. a solution to the problem.

What is a presentation?

A presentation is act that involves the process of speaking to an audience (listeners), so as to formally share and explain an idea, piece of work, subject matter (topic), product, or project, especially for the purpose of proffering a solution to a particular problem.

In this context, we can infer and logically deduce that a portion of Elgin’s presentation which the given information best fits is a solution to the problem because higher taxation on sugary beverages encouraged people to make healthier choices.

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Complete Question:

Elgin is taking notes for his presentation about how people drink too much soda and other sugary drinks, and he finds information about how some cities and states are taxing sugary beverages at a higher rate to encourage people to make healthier choices. In which portion of Elgin’s presentation does this information fit?

A. the overview of the situation

B. a solution to the problem

C. an effect of the solution

D. an effect of the problem

Answer:

B - a solution to the problem

took on edge

M(-5, 2) and N(5, 2) are the endpoints of the segment MN on the coordinate plane. What is the length of ?

A.
5 units
B.
9 units
C.
10 units
D.
12 units
This is for edmentum btw

Answers

The length is C- 10
10units to easy and im sure 100%

The product of a number and 2 is 1. Find eight times the number.

Answers

Answer:

I would think that it would be 8

Step-by-step explanation:

1-2= (-1)= -1+2=1

I think it's 8. 8 times the number of 1 is well...8.

Step-by-step explanation:

x = the number

x * 2 = 1  

soooo   x = 1/2

then   8 * 1/2  = 4

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