A Pyramid has a square base with side s. The height of the pyramid is 2/3 that of its side. What is the expression for the volume of the pyramid?

A Pyramid Has A Square Base With Side S. The Height Of The Pyramid Is 2/3 That Of Its Side. What Is The

Answers

Answer 1

Answer:

correct choice is option d  [tex]v=2/9*s^3[/tex]

Step-by-step explanation:

volume of pyramid is given by 1/3(Area of base* height)

Given base of pyramid is square with length of each side s

area of square is given by [tex]side^2[/tex]

Thus, area of base of pyramid = [tex]s^2[/tex]

Height of pyramid = 2/3  of  side of base of pyramid = 2/3* s = 2s/3

Therefore volume of pyramid = 1/3(area of base of pyramid *Height of pyramid)

                                            = [tex]1/3(s^2*2s/3)[/tex]

                                             = [tex]2/9*s^3[/tex]

Thus, correct choice is option d [tex]v=2/9*s^3[/tex]

Answer 2

Answer:

Option D

Step-by-step explanation:

[tex]v=\frac{2}{9} s^{3}[/tex]


Related Questions

Help me factorise these please :)

Answers

Answer:

Tell me if i'm wrong and stuff

Answer:

A:x ( x + 3 )

B:2 x ( x − 4 )

C:3 x ( 2 + 3 x 2 )

D:4 x 2 ( 3 x − 1 )

Step-by-step explanation:

hope this helps

mark me brainly

I think the answer is D, am I correct?

Answers

Answer:

It is D

Step-by-step explanation:

Answer:

The answer is D or cubic binomial.

Step-by-step explanation:

Stay safe and mark brainliest! (even though you did all the work and got it right:);))

Please help!!! The answer is written by listing the letter corresponding to each proportion.

Answers

Answer:

A.

B.

D.

E.

H.

Step-by-step explanation:

So if it's cross multiplication, the original has 5 possibilities.

There is:

x : u = y : t,

x : y = u : t,

t : y = u : x,

u : x = t : y

y : x = t : u

A,B,D,E,H is the answer

Question 7 Multiple Choice Worth 1 points)

(03.03 LC)

Triangle MNO is dilated to form new triangle PQR. If angle

is congruent to angle R. what other information will prove that the two triangles are similar by the AA similarity postulate?

Side ON is congruent to side RQ.

Angle Nis congruent to angle

Side MN is congruent to side PQ.

Angle M is congruent to angle Q.

Please help

Answers

Answer:

Angle N is congruent to Angle Q.

Step-by-step explanation:

If triangles MNO and PQR are similar, then the corresponding sides are propotional and the corresponding angles are congruent.

Angle M corresponds to Angle P.Angle N corresponds to Angle Q.Angle O corresponds to Angle R.

So, we know by gvein that angles O and R are congruent. We only need another angle congruence to use the AA postulate of similarity.

Therefore, the right answer is the second choices, because Angle N must be congruent to Angle Q.

Answer: B: Angle N isn’t congruent to angle Q

Step-by-step explanation: You have to follow the letters MNO and PQR. We know O is congruent to R to get another angle we would use Angle N and Q because of the order since Angle M and angle Q aren’t in the same order and we’re not dealing with sides only Angles.

31/x=248/320

Solve for x

Answers

Answer:

X =(31×320)÷248

=9920÷248

X =40

Question #2 [tex]5x+9\leq 4[/tex]

Answers

x is less than or equal to -1

Which of the following has a denominator of 6?
a. 6 2/3
b. 16/18
c. 6/7
d. 1/6

Answers

Answer:

D

Step-by-step explanation:

The denominator is the bottom number in a fraction, while the numerator is the top number.

numerator/denominator

Let's analyze the answer choices.

A. 6 2/3

The bottom number of the fraction is a 3, so this cannot be correct.

B. 16/18

The denominator here is 18, so this choice is also incorrect.

C. 6/7

In this fraction the numerator is a 6, but the denominator is a 7, so this choice is also wrong.

D. 1/6

This choice is the correct answer. The denominator, or bottom number is a 6.

The answer is D. 1/6.

Answer:

D

Step-by-step explanation:

Numerator/ denominator

Upper part of a fraction is numerator & down part of the fraction is denominator

x^4 + y^4


How do you factor this? I have to factor it using x+y and xy.

Answers

Answer:

I'm not sure this could be factored. if it was x^4-y^4, then it would be (x-y)(x+y)(x^2+y^2)

ps. check if you have the question correct

The model represents an equation.

What value of x makes the equation true?
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value. x = -3.8
X = 2.25
x=4.12
x=2

Answers

it should be x=2.25.

The value of x in the model that makes the equation true is: b. x = 2.25

We can find the value of x that makes the equation true by applying our knowledge of how to model equations.

From the image given:

On your left, we have -x, in three places which can be translated to as: [tex]3 \times -x = -3x[/tex]

On the left also, we are given [tex]10 \times 1 = 10[/tex]

We can model the left side as:

[tex]-3x + 10[/tex]

On your right, we have x in five places which can be translated to as: [tex]5 \times x = 5x[/tex]

On the right also, we are given [tex]8 \times -1 = -8[/tex]

We can model the left side as:

[tex]5x - 8[/tex]

The equation would be:

[tex]-3x + 10 = 5x - 8[/tex]

Solve the equation for the value of x. Collect like terms.

[tex]-3x - 5x = - 8 - 10\\\\-8x = -18[/tex]

Divide both sides by -8

[tex]x = \frac{-18}{-8} \\\\x = 2.25[/tex]

Therefore, the value of x in the model that makes the equation true is: b. x = 2.25

Learn more here:

https://brainly.com/question/16614424

Mike’s house has three bedrooms. Each bedroom has a closet. The closet in the first bedroom measures 5 ft in length. 3 ft in width, and 7 ft in height. The closet in the second bedroom measures 5 ft in length, 4 ft in width, and 7 ft in height. The closet in the third bedroom measures 5 ft in length, 8 ft in width, and 7 ft in height. How much space is in all three closets combined? 3 ft in width, and 7 ft in height. The closet in the second bedroom measures 5 ft in length, 4 ft in width, and 7 ft in height. The closet in the third bedroom measures 5 ft in length, 8 ft in width, and 7 ft in height. How much space is in all three closets combined?

Answers

Answer:

7 ft

Step-by-step explanation:

A population proportion is . A sample of size will be taken and the sample proportion will be used to estimate the population proportion. Use z-table. Round your answers to four decimal places. Do not round intermediate calculations. a. What is the probability that the sample proportion will be within of the population proportion? b. What is the probability that the sample proportion will be within of the population proportion?

Answers

Complete Question:

A population proportion is 0.4. A sample of size 200 will be taken and the sample proportion p will be used to estimate the population proportion. Use z- table Round your answers to four decimal places. Do not round intermediate calculations. a. What is the probability that the sample proportion will be within ±0.03 of the population proportion? b. What is the probability that the sample proportion will be within ±0.08 of the population proportion?

Answer:

A) 0.61351

Step-by-step explanation:

Sample proportion = 0.4

Sample population = 200

A.) proprobaility that sample proportion 'p' is within ±0.03 of population proportion

Statistically:

P(0.4-0.03<p<0.4+0.03)

P[((0.4-0.03)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.03)-0.4)/√((0.4)(.6))/200

P[-0.03/0.0346410 < z < 0.03/0.0346410

P(−0.866025 < z < 0.866025)

P(z < - 0.8660) - P(z < 0.8660)

0.80675 - 0.19325

= 0.61351

B) proprobaility that sample proportion 'p' is within ±0.08 of population proportion

Statistically:

P(0.4-0.08<p<0.4+0.08)

P[((0.4-0.08)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.08)-0.4)/√((0.4)(.6))/200

P[-0.08/0.0346410 < z < 0.08/0.0346410

P(−2.3094 < z < 2.3094)

P(z < -2.3094 ) - P(z < 2.3094)

0.98954 - 0.010461

= 0.97908

Write the equation of the line with the following characteristics. Parallel to y=7x+2 through the point (0,0)

Answers

Answer:

y = 7x - 5

Step-by-step explanation:

y = 7x+2 we see the gradient is 7 (x 0) + 2 = Since the line is parallel to y= 7x +2

The new line has a slope of 7 + 2 as the intercept at y.

y - 0 = 7 ( x - 0)

y - 1/7 = x - 0

y = 7x - 5

As 7 -5 = 2

Hence equation of line becomes y=7x.

What is Equation of line?

You must ensure that both equations have the same slope in order to find an equation for a line that is parallel to another. The m reflects your slope value in the general equation of a line, y=mx+b.

How to solve?

Now given line y=7x+2 ,this line is parallel to another line which passes through origin(0,0)

Hence putting 0,0 in general equation to find equation of parallel line

⇒y=mx+c

⇒0=m(0)+c

⇒0=c

where m=7 as parallel lines have same slope.

Hence equation of line becomes y=7x.

Learn more about equation of lines https://brainly.com/question/13763238

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is it possible to construct a triangle with the given side lengths 6,7 and 11 units ,if not explain ​

Answers

Answer:

Yes!

Step-by-step explanation:

The smaller sides sum should be greater (NOT EQUAL) than the longest side's sum.

Tell whether each statement is a proportion:

3:9 = 6:18
28:7 = 64:16
95:100 = 17:20
60:80 = 14:16
200:300=24:36

Answers

Answer:

1. Yes

2. No

3. No

4. No

5. Yes

Step-by-step explanation:

Do you mean equal proportion?

1. 3 : 9 = 6 : 18 TRUE because 3 : 9 = 1 : 3 and 6 : 18 = 1 : 3

2. 28 : 7 = 64 : 16 FALSE because they are just not related.

3. 95 : 100 = 17 : 20 FALSE because the closest they get are 19 : 20 ≠ 17 : 20

4. 60 : 80 = 14 : 16 FALSE because the closest they get are 60 : 80 = 6 : 8 and 14 : 16 = 7 : 8

5. 200 : 300 = 24 : 36 TRUE because 200 : 300 = 2 : 3 and 24 : 36 = 2 : 3

Chen writes down a two digit number. He finds that if he swaps the digits of the number round, the new number he creates is three more than one third of the original number. What was the original number?

Answers

Answer: 27

Step-by-step explanation:

Let original number be 27,

swapping round we get 72

1/3 rd of 72 = 24

24 + 3 = 27

Answer:

Your answer is 27.

Step-by-step explanation:

I hope this helps!

A principal of $3800 is invested at 8.5% interest, compounded annually. How much will the investment be worth after 12 years?

Answers

Answer: $10,114.41

Step-by-step explanation:

A = P(1 + r/n)^nt

what is the inverse of the function f(x) equals 1/9 X +2

Answers

Answer:

1/9x-2

Step-by-step explanation:

Plz need help with this question asap!!!

Answers

Answer:

A.

Step-by-step explanation:

The expression (1/4) * d + 7 really just means "one-fourth times d, plus 7"

Option A says the same expression, as we know that the product means multiplication, and that we add 7 at the end. For this reason, it is the correct response.

I hope this helps!

hello,

here is your answer:

**********

The product of one-fourth and a number, plus seven.

**********

hope this helped,

:)

The number of girls in a classroom is greater than the number of boys. There are more than girls. Write system of inequalities to model this situation. Use x to represent the number of boys and y to represent the number of girls

Answers

Answer:

Step-by-step explanation:

Required

Represent the relationship between population of girls and boys

From the question, we have that

[tex]Boys = x\\Girls = y[/tex]

Given that y is greater than x in the classroom;

One of the keywords in the given data is "Greater than"

The inequality to represent the system is the greater than sign;

In other words, >

Bringing x, y and > together to form a complete inequality; we have

[tex]Girls > Boys[/tex]

Replace Girls with y and Boys with x

[tex]y > x[/tex]

While bowling with friends, Brandy rolls a strike in 8 out of 10 frames. What is the experimental probability that Brandy will roll a strike in the first frame of the next game? Enter your answer as a simplified fraction.

Answers

He rolled 8 strikes out of 10 tries.

This make the probability of rolling a strike 8/10 which reduces to 4/5

The answer is 4/5

What is the slope-intercept equation of the line below?
O A. y = -2x-1
B. y=-2x+1
O C. y = 2x + 1
D. y = 2x - 1

Answers

Answer:

B. y=-2×+1

Step-by-step explanation:

2×+y-1=0

so,y=-2×+1 is the slope intercept

Find a positive angle less than 360° that is coterminal with the given angle.
620°
A positive angle less than 360° that is coterminal with 620° is...​

Answers

Answer:

260

Step-by-step explanation:

Which ordered pair is a solution of the equation?
y= 7x - 3
Choose 1 answer:

Answers

Answer:

[tex]\frac{3}{7}, -3[/tex]

Step-by-step explanation:

[tex]7x-3=0[/tex]

[tex]7x-3+3=0+3[/tex]

[tex]7x=3[/tex]

[tex]\frac{7x}{7}=\frac{3}{7}[/tex]

[tex]x=\frac{3}{7}[/tex]

[tex]\left(\frac{3}{7},\:0\right)[/tex]

[tex]y=7\cdot \:0-3[/tex]

[tex]y=0-3[/tex]

[tex]y=-3[/tex]

[tex]\left(0,\:-3\right)[/tex]

Answer:

3/7, 0

Step-by-step explanation:

7x-3=0

7x = 3

x = 3/7

substitute

y = 7(3/7) - 3

7s cancel out

y = 3 - 3

y= 0

Here is a pattern made up of tiles.
How many tiles will be in the 5th Pattern?

Answers

Answer:

26 tiles

Step-by-step explanation:

In the picture attached, the pattern is shown.

From the picture, we can see that:

the 1st pattern has 6 tilesthe 2nd pattern has 6 + 5 = 11 tiles the 3rd pattern has 11 + 5 = 16 tiles

Therefore, the next patterns will have:

4th pattern, 16 + 5 = 21 tiles5th pattern, 21 + 5 = 26 tiles

Yesterday, Bridget's Snack Shack went through 2 bottles of ketchup. If they used 2 3/5 times
as much mustard as ketchup, how many bottles of mustard did they go through?
Write your answer as a fraction or as a whole or mixed number.
bottles
Submit
I don't know this yet >

Answers

Answer: 26/5

Step-by-step explanation:

Mustard used was 2 3/5 as much as ketchup =

2 x 2 3/5

= 2 x 13/5

= 26/5

A circle is centered at O(0,0)O(0,0)O, left parenthesis, 0, comma, 0, right parenthesis and has a radius of \sqrt{29}


29





square root of, 29, end square root.


Where does the point T(5,-2)T(5,−2)T, left parenthesis, 5, comma, minus, 2, right parenthesis lie?

Answers

Answer:

Point T is on the circle

Step-by-step explanation:

To check where the point lies, we need to find its distance to the center of the circle.

The distance between two points (x1, y1) and (x2, y2) is given by:

[tex]distance = \sqrt[2]{(x2 - x1)^{2} + (y2 - y1)^{2}}[/tex]

If the first point is O(0,0) and the second is T(5, -2), we have:

[tex]distance = \sqrt[2]{(5 - 0)^{2} + (-2 - 0)^{2}}[/tex]

[tex]distance = \sqrt{29}[/tex]

The distance between the points is equal the radius of the circle, that means the point T is on the circle.

Answer:

inside the circle

Step-by-step explanation:

Khan Academe

A polynomial function has a root of –7 with multiplicity 2, a root of –1 with multiplicity 1, a root of 2 with multiplicity 4, and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree, which statement about the graph is true?

Answers

Answer: the graph of the function is positive on ( -infinity, -7)

Reason: f(-8)= 840,000a
840,000a is a positive number

Answer:

The graph of the function is positive on (-∞ –7).

Step-by-step explanation:

This two-way frequency table gives the results of a screening test for heart disease conducted by determining the cholesterol level in the blood
samples of 750 patients.
Question 1
Using the two-frequency table, compute the probability of having high cholesterol. Or Phigh cholesterol)

Answers

Answer:

The probability of having high cholesterol = 0.496

Step-by-step explanation:

Given frequency data table

                                                         cholesterol level

                                          Normal           High              Total

Heart diseases      Yes       11                   223                  234

                               No       367                149                   516

                             Total        378               372                 750

Given data

The Cholesterol level is high  n ( High cholesterol) = 372

Total n( S) = 750

The probability of having high cholesterol level

                           P( E) = [tex]\frac{n(E)}{n(S)} = \frac{372}{750} = 0.496[/tex]

five consecutive multiples of 3 add up to 105. What is the second smallest number

89 points!

Answers

Answer:

18

Step-by-step explanation:

Let's call the first number n. The next four numbers will be n + 3, n + 6, n + 9 and n + 12. Then, we have

n + n + 3 + n + 6 + n + 9 + n + 12 = 105

5n + 30 = 105

5n = 75

n = 15

The second smallest number is n + 3 which is 15 + 3 = 18.

Answer:

18

Step-by-step explanation:

Pls answer ASAP ....

Answers

Answer:

P=10/36=5/18

Step-by-step explanation:

if two dices are thrown the events(E)={36,45,54,63,46,55,64,56,65,66}=10

S (sample space)=36 because there are 2 dices.

soP=E/S=10/36=5/18

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