A square pyramid has a volume of 1024 cm3. If one edge of the square base is 16 cm, find the height.

Answers

Answer 1

Answer:

Step-by-step explanation:

v = 1/3* L * w * h

1024 = 1/3 * 16 * 16 * height

1024 = 85.3333333 * height

divide both sides by 85.3 to isolate height = 12 cm

check your work

1024 = 1/3 * 16 * 16 * 12

1024 = 1024

yes they equal so its correct


Related Questions

PLS HELP ASAP a wheel makes 13 revolutions to cover a distance of 65 m find the radius of the wheel

Answers

Revolutions=13Distance=65m

Circumference:-

65/135m

Radius:-

2πr=5πr=2.5r=2.5/πr=0.797m

Answer:

radius = 0.8 m (nearest tenth)

Step-by-step explanation:

One revolution of the wheel means one complete turn.  Therefore, the distance of one revolution is the circumference of the wheel.

First, find the distance of one revolution (the circumference) by dividing the total distance by the given number of revolutions:

[tex]\sf circumference=\dfrac{65}{13}=5\:m[/tex]

Formula

[tex]\textsf{circumference of a circle}=\sf 2 \pi r \quad \textsf{(where r is the radius)}[/tex]

[tex]\implies \sf radius=\dfrac{circumference}{2 \pi}[/tex]

Substituting the found value of the circumference into the formula to find the radius:

[tex]\implies \sf radius=\dfrac{5}{2 \pi}=0.8\:m\:(nearest\:tenth)[/tex]

gary goes to the grocery store to but hot dogs and hamburgers for a cookout. He buys a total of 8 packages for a total of $28.52. A package of hot dogs costs $2.29 and a package of hamburgers costs $5.69.

Answers

d + b = 8
2.29d + 5.69b = 28.52

Hotdogs (d) = 2.29d
Hamburgers (b) = 5.69b
Total ( 8) = 28.52
[Hello, ssabic36]

Answer:

3 hamburger packs

5 hot dog packs

Step-by-step explanation:

Knowing that:

Gary buy ⇒ 8 packages for a total of $28.52

A package of hot dogs costs $2.29 and a package of hamburgers costs $5.69.

Solving:

Let the Hotdogs = HD

Let the Hamburgers = HB

HD + HB = 8

2.29HB + 5.69HB = 28.52

Hotdogs (HD) = 2.29

Hamburgers (HB) = 5.69

Total ( 8) = 28.52

Since we now know that

Hotdogs (HD) = 2.29

Hamburgers (HB) = 5.69

Thus,

2.29x5 = 11.45

5.69 x 3=17.07

17.07 + 11.45 = 28.52

Thus, gray buy

3 hamburger packs

5 hot dog packs

~[DiscordUser]~

Sarah spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -9.2°F. Between 9am and noon, the temperature rose 2°F. Between noon and 3pm, the temperature went up 12.1°F. Between 3pm and 6pm, the temperature dropped 5.5°F. What was the temperature at 6pm?

Answers

Using a system of equations, it is found that the temperature at 6pm was of -0.6 ºF.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

At 9 am, the temperature was -9.2°F. Between 9am and noon, the temperature rose 2°F, hence the temperature at noon was of -9.2 + 2 = -7.2ºF.

Between noon and 3pm, the temperature went up 12.1°F, hence at 3 pm, the temperature was of -7.2 + 12.1 = 4.9 ºF.

Between 3pm and 6pm, the temperature dropped 5.5°F, hence the temperature at 6 pm was of 4.9 - 5.5 = -0.6 ºF.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Write an equation in slope intercept form for the like with
y-intercept -4 and slope 6

Answers

Answer: y=6x-4



Step-by-step explanation: see attached.




Please help!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:C

Step-by-step explanation:

Okay so the value of 'a' is 2 so anywhere you see 'a', you substitute its value for 22(5-a)² + 7a2(5-2)² +7×2 2(3²) + 14 (2×9) + 1418 + 1432

Answer:

option C

Step-by-step explanation:

Ive attach my work

Hppe it hels, Let me know if you have any questions !

Exercise Sophia pays a $19.99 membership fee for an online music store. a. If she also buys two songs from a new album at a price of $0.99 each, what is the total cost? b. If Sophia purchases 푛 songs for $0.99 each, write an expression for the total cost. c. Sophia’s friend has saved $118 but is not sure how many songs she can afford if she buys the membership and some songs. Use the expression in part (b) to write an equation that can be used to determine how many songs Sophia’s friend can buy. d. Using the equation written in part (c), can Sophia’s friend buy 101, 100, or 99 songs? Relevant Vocabulary VARIABLE (DESCRIPTION): A variable is a symbol (such as a letter) that represents a number (i.e., it is a placeholder for a number). EQUATION: An equation is a statement of equality between two expressions. NUMBER SENTENCE: A number sentence is a statement of equality between two numerical expressions. SOLUTION: A solution to an equation with one variable is a number that, when substituted for the variable in both expressions, makes the equation a true number sentence.
.
What's the answer for all of them??

Answers

Answer:

first, how much were her songs? It's two songs each, and their separate prize was 0.99:

total prize was 2*0.99=1.98

this gets added to the membership prize:

19.99+1.98=21.97

you can also calculate this by rounding all the numbers (20+1+1) and substracting the amount you rounded (three times one cent) - the result would be the same.

B     19.99+.99n

C   okay so it says Sophia's friend has saved $118 so she already knows she has $118 and then the next step is to figure out about Part B so she does not know how many songs you can afford to buy so the expression in Part B whatever the expression is if you figured out the answer to Part B and there's a number what you want to do what you would want to divide that number into 118 to see how how many equal groups you can make and you don't want to go overboard 18 so what you would want to do it if you would want to do if you figure out the number to expression be in the boring part B they don't want to take that and keep making a go go to that until you reach 118 and then you would get your total

D  N=99 songs

Aaron wants to paints a wall in his office. There are two windows in the wall. The windows have dimensions of 4 feet by 3 feet. The height of the wall is 8 feet and the width is 12 feet. What area of wall is to be painted.

Answers

72 ft
Area of wall- 8•12=96
Area of windows- 2(4•3)=24
96-25=72

Answer:

Answer:we are looking for the area of the Wall to be painted.

Answer:we are looking for the area of the Wall to be painted.Area=L × B

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows area

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LB

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4AW=96-12

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4AW=96-12AW=84

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4AW=96-12AW=84therefore area to be painted=84feet square

10) Write the equation of the line passing through the points (-1, 2) and (3, 4)
A) y = 2x - 2
B) y - 2x - 10
9-x
D) y x -

Answers

Step-by-step explanation:

(-1,2) = x1 , y1(3,4) = x2 , y2

Using two points formula equation AB is :

( y - y1 ) = y2 - y1 / x2 - x1 ( x - x1 )( y - 2 ) = 4 - 2 / 3 - ( -1 ) ( x - ( -1 ) y - 2 = 4 - 2 / 3 + 1 ( x + 1 )y - 2 = 2 / 4 ( x + 1 ) y - 2 = 1 / 2 ( x + 1 )y - 2 = ( x + 1 ) / 2 2( y- 2 )= ( x +1 ) 2y - 4 = x + 1 - 4 - 1 = x - 2y-5 = x - 2yx - 2y +5 = 0 , which is the required equation..

Chart Rodrigo's total utility for lattes and the marginal utility for the same using information

from the table.

Quantity

Utility

0

14

2

3

4

on ANO

22

28

32

35

5

1)

40

30

Units of Total Utility

20

10

0

1

2

3

4

N

5

Number of Lattés

2)

)

20

15

Units of Total Utility per Latte

10

5

0

1

2

3

4 5

Number of Lattés

Answers

The marginal utility is the extra satisfaction derived from the consumption of a product.

How to illustrate the marginal utility?

Your information isn't well written. Therefore, an overview of utility will be given. The total utility is the total amount of satisfaction that a consumer derives from a product.

The marginal utility simply means the extra satisfaction that's gotten from a product when an additional unit is consumed.

The formula for marginal utility will be:

= Total utility difference/Quantity of goods difference

Learn more about marginal utility on:

https://brainly.com/question/24922430

- A store lowered all prices by 10%. By how
much will the price of a $35 item be lowered?
111

Answers

Answer:

so, it's 0.1x35=3.5

it will be lowered by 3.5 dollars

Answer:

$31.50

Step-by-step explanation:

Original price: $35

Discount percentage:

10%

Results

Discount: $3.50

Final Price: $31.50

Details

Discount = Original Price x Discount %/100

Discount = 35 × 10/100

Discount = 35 x 0.1

You save = $3.50

Final Price = Original Price - Discount

Final Price = 35 - 3.5

Final Price = $31.50

PLS help i need this ASAP

Answers

Answer:

I beleive your answer would be ∡B

Step-by-step explanation:

1.
The area of ​​a circle is 25m^2, what would be its diameter?

2.
The perimeter of a circle is 30 cm, what would be its radius?

3.
What would be the area of ​​a circle with a perimeter of 12 feet.

HELP

Answers

Answer:

1. diameter=5.54m

2. radius=9.55cm

3. area=11.46feet²

Step-by-step explanation:

1. The formula of the area of a circle is: A=[tex]\pi r^{2}[/tex]

   A: area of the circle=25m²  

    [tex]\pi[/tex] : Pi≈3.14

    r: radius of the circle= unknown

   Solve the equation to find r:

   25=(3.14)r²

    r²=[tex]\frac{25}{3.14}[/tex] =7.69m²

    r= √7.69= 2.77m

   diameter d= 2 x r =2 x 2.77 =5.54m

2. The formula of the perimeter of a circle is: P=2[tex]\pi r[/tex]

   P: perimeter of the circle= 30cm

    [tex]\pi[/tex] : Pi≈3.14

   r: radius of the circle= unknown

   Solve the equation to find r:

   30=(3.14)r

   r= [tex]\frac{30}{3.14}[/tex] = 9.55cm

   radius r = 9.55cm

3. First we have to find r (radius) from  the equation of perimeter:

    P=2[tex]\pi r[/tex]

     r= [tex]\frac{P}{2\pi }[/tex] = [tex]\frac{12}{2(3.14)}[/tex] = [tex]\frac{12}{6.28}[/tex] =1.91 feet

     Substitute r in the equation of area to get the area:

     A=  [tex]\pi r^{2}[/tex] = 3.14 (1.91)² = 3.14(3.65) = 11.46 feet²

Calculate the side lengths of the given scale.

Answers

Answer:

x: 4metres

y: 8metres

Step-by-step explanation:

using scale 1:4

x:16 ÷ 4

y: 2×4

6. Find the H.C.F. of: (a) a² + 2ab + b2-c?, b? + 2bc + ? - a and c? +2ac + a-b? +​

Answers

Answer:

- (a + b)^2

- (b + c)^2

- (a - b + c) (a + b + c)

The answer is given in the photos below (for verification),

I hope my answer helps you.

Plss help!!
Will give brainliest!!! ​

Answers

Answer:

It's 4

Step-by-step explanation:

2 2/5 - 12/5 (Simplify)

2 2/5 - 2 2/5

0 (Subtract)

(1x0) + 4 (Finish Equation)

0 + 4 (Add)

4 (Done)

Is the function is even, odd or neither? How do you know?

Answers

Answer:

Step-by-step explanation:

A function is even if [tex]f(x)=f(-x)[/tex], or if the graph has a rotational symmetry about the x-axis. A function is odd if [tex]f(x)=-f(-x)[/tex]. For example, if you were to reflect that graph about the y-axis. Would it present symmetry?

From the graph we know from the fundamental theorem of Algebra that since f has 3 distinct roots, and changes directions three times, we are dealing with a cubic equation in the form of [tex]f(x)=x(x+2)(x-2)[/tex]

Since the equation is known, try the formulas

First, test for an even function, [tex]f(x)=f(-x)[/tex], this means that for our function, f, [tex]f(2)=f(-2)[/tex] see if this holds true

[tex]2(2+2)(2-2) = -2(-2+2)(-2-2)\\2(4)(0)=-2(0)(-4)\\0 = 0[/tex]

This means that the function is even.

a circular clock face has a diameter of 7 inches how many inches does the tip of the minute hand travel in a day

Answers

Answer:

14π inches

Step-by-step explanation:

Diameter of the clock = 7 × π = 7π

one day = 24 hours which means

2 clockwise turns around the clock

sooo 7π × 2 = 14π

Answer:

527.52 in

Step-by-step explanation:

To answer this question you have to find the circumference of the circle.

You have to use the formula below to find the circumference.

C = π d

Here,

d ⇒ diameter ⇒ 7 in

Let us solve it now.

C = π × d

C = 3.14 × 7

C =  21.98 in

So, the tip of the minute hand is traveling 21.98 in an hour.But they're asked for the distance traveled by the tip of the minute in a day.So, to find that we have to multiply the answer by 24 hours.

Let us find it now.

Distance traveled in a day = 21.98 × 24

                                            = 527.52 in

Please Help me ASAP.

Answers

40-19=21
21/7=3
X=3
Equation:
40=7x+19

find area of rhombus . please./.

Answers

Answer: 126

Step-by-step explanation:

Ram spent 1/3 of his salary on food, ,1/4 of his salary on rent and electricity, and 1/20 of his salary on the telephone. Since April -2022 is the month of Ramadan, irrespective of religion and cast Ram has donated 1/10 of his salary to an orphanage and 5000Aed to RCA Charity. He was left with 3000AED with him. What is his monthly salary?
STEP BY STEP PLS

Answers

The total monthly salary earned by Ram in the month of April 2022 is an amount of 30000 AED before payments and donations.

How to solve a word problem

Word problems are statements that embody a set of algebraic expressions that offers at least one solution. In this case, we have to read the statement, find the equivalent formula and solve for the resulting variable.

After a careful reading, the statement is equivalent to the following formula:

x = x / 3 + x / 4 + x / 20 + x / 10 + 5000 + 3000

4 · x / 15 = 8000    (1)

Where x is Ram's monthly salary.

The solution of (1) is x = 30000.

To learn more on word problems, we kindly invite to check this verified question: https://brainly.com/question/11240316

A forest has 1260 trees.
The trees are maple, beech or oak.
A fifth of the trees are maple and the number of maple trees is 3 times the number of beech trees.
The rest of the trees are oak.
number of oak : number of beech = n : 1
Work out the value of n .
You must show how you get your answer.

Answers

Answer:

[tex]\huge\boxed{\sf n = 11}[/tex]

Step-by-step explanation:

Total trees = 1260 trees

Maple trees:

[tex]\displaystyle = \frac{1}{5} \ of \ total \ trees\\\\= \frac{1}{5} \times \ 1260\\\\= \frac{1260}{5} \\\\= 252 \ maple \ trees[/tex]

Beech trees:

Given that:

Maple trees = 3 × beech trees

=> There are 252 maple trees.

252 = 3 × beech trees

Divide 3 to both sides

252 / 3 = beech trees

84 trees = beech trees

[tex]\boxed{\sf beech \ trees = 84 \ trees\\}[/tex]

Oak trees:

It is said that all other trees are oak trees.

So, oak trees will be:

= total trees - maple trees - beech trees

= 1260 - 252 - 84

= 924 trees

The ratio of oak trees to beech trees:

= 924 : 84

Divide 84 to both sides

= 11 : 1

The question says:

number of oak : number of beech = n : 1

So, from the answer, it is clear that:

n = 11

[tex]\rule[225]{225}{2}[/tex]

If the point with coordinate
(k,7) lies on the equation 2x−y=5 determine the value of k


Answers

Answer:

k = 6

Step-by-step explanation:

since (k, 7 ) lies on the line then it satisfies the equation.

substitute the coordinates of the point into the equation and solve for k

2k - 7 = 5 ( add 7 to both sides )

2k = 12 ( divide both sides by 2 )

k = 6

Answer:

k = 6

Step-by-step explanation:

The point (k, 7) lies on the line with the equation 2x - y = 5

Substitute the coordinates of the point in the equation2(k) - 7 = 52k = 12k = 6

Determine if the system has a solution, if so how many?

A) X-y=4 and 2x-2y=1
B)x-4y=0 and2x+4y=3
C)x-2y=1 and 4x-8y=4

PLEASE HELP DUE BY NOON

Answers

A) System doesn't have a solution.

x-y=4

2x-2y=1

x=4+y

2(4+y)-2y=1

8+2y-2y=1

8≠1

B) System has one solution.

x-4y=0

2x+4y=3

x=4y

2(4y)+4y=3

8y+4y=3

12y=3

y=1/4

C) Every solution is right for the system.

x-2y=1

4x-8y=4

x=1+2y

4(1+2y)-8y=4

4+8y-8y=4

4=4

If sin o = -square root 3/2 and pi < o < 3pi/2 what are the values of cos and tan?

Answers

Answer:

c

Step-by-step explanation:

what is the inverse of f(x)=x^2+5

Answers

Answer:

[tex]\sqrt{X-5}[/tex], [tex]-\sqrt{X-5}[/tex]

Step-by-step explanation:

Replace X with Y

solve for Y; X = Y^2 + 5

subtract 5 from both sides

X - 5 = Y^2

take the square root

Y = plus or minus sqrt(X-5)

sqrt(X-5); -sqrt(X-5)

In triangle ABC, the measure of angle A is90, the measure of angle B 45 and measure of angle C 45 what is the combined measure of the three angles?

Answers

180.....,...........

Step-by-step explanation:

angle A + angle B + angle C = 90+45+45

                                                = 180

2) Michael purchased a used car for $6,150 and had to pay 6.5% sales tax. How much tax
did he pay?

Answers

Answer:

$399.75

Step-by-step explanation:

6.5% of $6,150 =

= 0.065 × $6,150

= $399.75

Answer: $399.75

He had to pay $399.75

formula:  Tax = Tax Rate * Purchase Price

$6,150 * 6.5%$399.75

Which statement is true about the given function

Answers

What is the function?

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Final answer -

[tex]Area \: of \: figure = 60 \: m {}^{2} [/tex]

hope helpful :D

find the perimeter of polygon

Answers

Answer:

22

Step-by-step explanation:

4+7+4+7=22

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