The height of a square pyramid is one half the length of each side. The volume of the pyramid is 2,304 in.3. What is the height of the pyramid?

Answers

Answer 1

Answer:

Step-by-step explanation:

by making the length an inequality x height will be 1.5x

Volume=1/3BA xh

X×X×1.5X 1/3=2304

0.5x3=2304

X³=2304÷0.5

X³=4608

X=³√4608

X=16.64cm

H=16.64x1.5=24.96cm

Answer 2

The height of the square pyramid is equal to 24.96 cm.

What is a square pyramid?

A square pyramid in geometry is a pyramid with a square base. A right square pyramid is one in which the peak is perpendicular to and above the square's centre.

Given that the height of a square pyramid is one-half the length of each side. The volume of the pyramid is 2,304 cubic inches.

The height of the square pyramid will be calculated as,

Volume=1/3BA xh

X×X×1.5X 1/3=2304

0.5x3=2304

X³=2304÷0.5

X³=4608

X=³√4608

X=16.64cm

H=16.64x1.5=24.96 cm

Therefore, the height of the square pyramid is equal to 24.96 cm.

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Related Questions

Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

9 degrees Celsius

Step-by-step explanation:

I graphed the function on the graph below to find the maximum of the parabola. The maximum is at (9,200), which means at 9 degrees Celsius, there are 200,000 fish.

The temperature at which there will be maximum number of fishes is given by the point (9, 200), is it is 9 degrees.

Given data:

To find the temperature that will result in the maximum number of fish, determine the x-value (temperature) at the vertex of the quadratic function.

The given function is P(x) = -2(x - 9)² + 200, where P(x) represents the fish population in thousands and x represents the water's temperature.

The general form of a quadratic function is y = a(x - h)² + k, where (h, k) represents the vertex of the parabola.

The vertex form of the function is P(x) = -2(x - 9)² + 200.

Comparing this to the general form, the vertex of the parabola is at the point (9, 200).

Hence, the temperature that will result in the maximum number of fish is 9 degrees (the x-value of the vertex).

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4sqrt2(sqrt6-3sqrt24)

Answers

Answer:

-40\sqrt{3}

-.69.282

Step-by-step explanation:

The total number of combinations are ______

Answers

Answer:

a) 18

Step-by-step explanation:

There are three possible outcomes for every amount of GB and since there are 6 different quantities of GB then we get:

6×3=18 possible outcomes.

4(-8x + 5) -(-33x -26)

Answers

Simplifying
4(-8x + 5) = -32x + -26

Reorder the terms:
4(5 + -8x) = -32x + -26
(5 * 4 + -8x * 4) = -32x + -26
(20 + -32x) = -32x + -26

Reorder the terms:
20 + -32x = -26 + -32x

Add '32x' to each side of the equation.
20 + -32x + 32x = -26 + -32x + 32x

Combine like terms: -32x + 32x = 0
20 + 0 = -26 + -32x + 32x
20 = -26 + -32x + 32x

Combine like terms: -32x + 32x = 0
20 = -26 + 0
20 = -26

Solving
20 = -26

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

can someone please help a guy out? and ASAP. i'm really tired and i've been trying to get this done for months but i cannot understand it in the slightest. whoever can help out will get marked as brainliest ♥


[any other info will be linked as images]


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1.) Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.

2.) Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.

3.) What does the slope of the line represent within the context of your graph? What does the y-intercept represent?

4.) Test the residuals of two other points to determine how well the line of best fit models the data.

5.) Use the line of best fit to help you to describe the data correlation.

6.) Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?

7.) According to your line of best fit, what is the arm span of a 74-inch-tall person?

Answers

Answer:

1) On the x-axis, the arm span is plotted. On the y-axis, the height is plotted. It is chosen to be that way because the numbers on that have been assigned on the x-axis increase and decrease in a small amount, while the numbers on the y-axis increase and decrease in a huge amount.

2) (lolz i cant show u my work but i will try my best with explanations even tho ian allat.) So, Using the slope formula, I got a the equation y=x+15. The equation was determined with the formula m=y2-y1/x2-x1. The points that were used included (37,40) and (47,50). After finding the slope, I did the best guess for the y-intercept, which is known as b in y=mx+b.

3) The slope of the line represents the time it takes for the arm span and the height. The y-intercept represents the height that the arm span starts developing or gets bigger.

4) It fits perfectly

5) The data is pretty inconsistent.

6)  About 68-69 inches tall

7)About 71-72 inches wide

yeo u had my brain work after this

Step-by-step explanation:

Answer:

other person is correct

Step-by-step explanation:

What is the inverse of the function f(x) = 2x + 1?
CO
1
h(x) =
Ex-
1
h(x) =
Y+
h(x) =
h(x) =
3x + 2
Save and Exit

Answers

Answer:

I am hoping for this to be correct

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!

Answers

Step-by-step explanation:

Adding 10 to both sides of the original equation gets us q = 6(r + 1) + 10. Since q is equal to h(r), we get h(r) = 6(r + 1) + 10 = 6r + 16.

The last 2 questions please help me help me please I need help

Answers

Answer:

3. 12.5π + 100

6. 25π + 250

Step-by-step explanation:

3. So you can first calculate the area of the square, which is 100.

Then you have to calculate the semicircle.

You can see that the diameter is 10.

The radius is 5.

The area of the semicircle is 12.5π

Total area is 12.5π + 100

6. You have a one rectangle and two semicircles.

You can calculate the area of the semicircles first.

25π

Then, you have to see how much the width of the rectangle is.

You can see that the total width is 35, and the radius of each semicircle is 5.

35 - 5 - 5 = 25

The width is 25 so the area of the rectangle is 250.

The total is 25π + 250.

Please answer correctly !!!!!! Will mark Brainliest answer !!!!!!!!!!!!!!

Answers

Answer:

See below

Step-by-step explanation:

[tex] (x + 15)^2 - 10 = 0\\

(x + 15)^2 = 10 \\

(x + 15) = \pm\sqrt {10} \\

x + 15 = \pm 3.16227766\\

x + 15 = \pm 3.16\\

x = \pm 3.16 - 15\\

x = 3.16 - 15 \: or \: x = - 3.16 - 15\\

x = - 11.84\: or \: x = - 18.16\\

lesser\: x = \boxed{-18.16}\\\\

greater\: x = \boxed{-11.84}\\\\[/tex]

Find the range of p in equation p(x+1) (x-3)=x-4p-2 has no real roots. ​

Answers

Answer:

[tex]\displaystyle p > \frac{1}{4}[/tex].

Step-by-step explanation:

Expand the left-hand side of this equation:

[tex]p\, (x + 1)\, (x - 3) = p\, \left(x^2 - 2\, x - 3\right) = p\, x^2 - 2\, p\, x - 3\, p[/tex].

Collect the terms, so that this quadratic equation is in the form [tex]a\, x^2 + b\, x+ c = 0[/tex]:

[tex]p\, x^2 - 2\, p\, x - 3\, p = x - 4\, p - 2[/tex].

[tex]p\, x^2 - (2\, p + 1)\, x + (p + 2) = 0[/tex].

In this equation:

[tex]a = p[/tex].[tex]b = -(2\, p + 1)[/tex].[tex]c = p + 2[/tex].

Calculate the quadratic discriminant of this quadratic equation:

[tex]\begin{aligned}b^2 - 4\, a\, c &= (-(2\, p + 1))^2 - 4\, p\, (p + 2) \\ &= 4\, p^2 + 4\, p + 1 - 4\, p^2- 8\, p = -4\, p + 1\end{aligned}[/tex].

A quadratic equation has no real root if its quadratic discriminant is less then zero. As a result, this quadratic equation will have no real root when [tex]-4\, p + 1 < 0[/tex]. Solve for the range of [tex]p[/tex]:

[tex]\displaystyle p > \frac{1}{4}[/tex].

Someone answer the whole thing fast plz

Answers

Answer:

y = 2x + 54

Step-by-step explanation:

slope of equation:

(y2-y1)/(x2-x1)

= (72-58)/(9-2)

= 14/7

= 2

y = 2x + b

58 = 2(2) + b

58 = 4 + b

b = 54

0.441 to its standard form

Answers

Answer:

erm

Step-by-step explanation:

4.41 times 10^-1

Combine like terms to create an equivalent expression.

-2/3a+5/6a-1/6

Answers

Answer:

The answer is [tex]\frac{1}{6}a - \frac{1}{6}[/tex] .

Step-by-step explanation:

Solve the following equation:

[tex]-\frac{2}{3}a + \frac{5}{6}a - \frac{1}{6}[/tex]

Combine [tex]-\frac{2}{3} a[/tex] and [tex]\frac{5}{6} a[/tex] :

[tex]-\frac{2}{3}a + \frac{5}{6}a - \frac{1}{6}[/tex]

[tex]\frac{1}{6}a - \frac{1}{6}[/tex]

So, the answer is [tex]\frac{1}{6}a - \frac{1}{6}[/tex] .

Answer:

1/6a-1/6

Step-by-step explanation:

I need help What is 3x - 4 = 13

Answers

Answer:

5 2/3

Step-by-step explanation:

3x-4=13

    +4  +4

Add 4 to -4 and 13.

If you add a positive # to a negative one you get a positive number so -4+4 is 0

3x=17

divide 3 and 17

you get 5 2/3

The table shows ordered pairs of the function . What is the value of y when ? A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 1, 1, 4, 8, 10. The second column is labeled y with entries 14, 10, 6, 0, question mark, negative 12. –20 –8 8 48

Answers

Answer: b?

Step-by-step explanation:

I think it b on edg.

The table of ordered pair is an illustration of a linear function.

The value of y when x = 8 is -8

From the table (see attachment), we have the following highlights

As x increases by 2, y decreases by 4As x decreases by 2, y increases by 4

When x = 10, y = -12

So, when x decreases by 2 (to 8), the value of y will increase by 4 (to -8).

Hence, the value of y when x = 8 is -8

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Pls HElp what is it

want Brainiest

Answers

Answer:

I have never done this before so I can't say this is the right answer and I also never used this but this is what I got⬇️

Step-by-step explanation:

so the graph shows car A and car B so I connected car B and A to the numbers down bellow and Car A got to 4mL and then I connected car B and it got to 5ML again I can't say this is the right answer

-4.5(r-2)+3.3 please help

Answers

Answer:

-4.5r + 12.3

Step-by-step explanation:

Multiply -4.5(r-2)

-4.5r + 9 + 3.3

Add 9+3.3=12.3

-4.5r + 12.3

Hope this helps plz mark brainliest

find K if the sum of the zeros of the polynomial x square - (K + 6 ) x + 2( 2 k - 1) is half the product​

Answers

k=7

given a quadratic polynomial

ax^2+bx+c

the sum of the roots is given by -(b/a)

and the product of the roots as (c/a)

hence we get sum of roots as -(-(k+6)/1) and product of roots as (2(2k-1))/1

since the sum is equal to half the Product then we get

k+6=2k-1 and solving for k we get 7

A line is drawn through (-4, 3) and (4, 3). Which describes whether or not the line represents a direct variation?
O The line represents a direct variation because
O The line represents a direct variation because it is horizontal.
O The line does not represent a direct variation because it does not go through the origin.
O The line does not represent a direct variation because -4(3) = 4(3)

Answers

Answer:

third option

Step-by-step explanation:

A graph representing direct variation must pass through the origin.

The graph through (- 4, 3) and (4, 3) is a horizontal line and does not go through the origin.

Thus the line does not represent a direct variation because it does not go through the origin.

what is the value of n in the equation 4n + 5 = 17​

Answers

Answer:

n=2

Step-by-step explanation:

4 times 2 equals 12. And 12 plus 5 equals 17.

Answer: n=3

Step-by-step explanation: 4n+5=17

17-5

4n=12/4

N=3

plz solve ziz m−4+m−5

Answers

Answer:

m - 4 + m - 5

= m + m - 4 - 5

= 2m - 9

The answer is 2m - 9

what is 20 plus 20.

Answers

Answer:

Step-by-step explanation:

40

Answer:

40

Step-by-step explanation:

 20              

20

+-----

zero plus zero is zero

two plus two is four

40

What is the slope of the line that passes through the points (-2,-5) and
(-3, -6)? Write your answer in simplest form.​

Answers

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 5) and (x₂, y₂ ) = (- 3, - 6)

m = [tex]\frac{-6-(-5)}{-3-(-2)}[/tex] = [tex]\frac{-6+5}{-3+2}[/tex] = [tex]\frac{-1}{-1}[/tex] = 1

Find the inverse for each relation.{ (1, -3), (-2, 3), (5, 1), (6, 4) }

Answers

doyou mean like the absolute value?

can someone help me with this help me find x and y

Answers

Answer:

x = 10

y = 20

Step-by-step explanation:

In a 30 60 90 triangle, all triangles follow the same pattern of side lengths.

The short leg, x, will be equal to the coefficient of the [tex]\sqrt{3}[/tex]

The hypotenuse will be twice the value of x

Kamal has big feet. Kamal's mom says she wouldn't be surprised if he grew to be 7 feet tall! Kamal's new shoes came in a box that measures 16 inches by 9 inches by 6 inches. What is the volume of the shoebox?

Answers

Answer:

864

Step-by-step explanation:

V=lwh

=16×9×6

=864 inches

Answer:

864 is the volume

Step-by-step explanation:

You can find the answer by applying the volume formula Length x Width x Height.

16x9x6=  864

It does not matter in which way you put the order of length, width and height.

pls help ASAP for brainliest answer

Answers

Answer:

396cm^3

Step-by-step explanation:

The formula for calculating volume of triangular prism is 1/2×bhl (b: base, h : height, l : length)

1/2 × 9 × 11 × 8 = 396cm^3

You want to have your carpet cleaned in your living room which measures 12’ by 14’. Company A charges $2.75 per square foot and company B charges $450 per room. Which company should you hire to get a better deal?

Answers

Answer: Company B

Step-by-step explanation:

First we must calculate the area of the carpet. Variable A represents area.

[tex]14*12=A[/tex]

[tex]A=168[/tex]

So the area of the carpet is 168 square feet.

To find what company A will charge we will multiply the 168 by 2.75 they charge per square foot.

[tex]168*2.75= Company A\\[/tex]

Company A charges, $462, while Company B will charge $450 for the one room.

This means Company B has the better price.

Find the selling price of an $70 item after a 30% markup.

Answers

Answer:

70/100*130= $91

Step-by-step explanation:

Answer:

$91

Step-by-step explanation:

CP= $70

Markup= 30%

SP= $70 +30%= $70*1.3= $91

give 2 examples of animal fibre and plant fibre

Answers

Answer:

Step-by-step explanation:

Cashmere and mohair fibers are produced from goats

seeds, fruits, stems, and leaves all produce natural plant fibers

Seeds,hair,wool,cotton,leaf,stem etc...
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