The base of the square pyramid shown has an area of 576 square units. If the slant height of the pyramid is 20 units, what is the height of the pyramid?


18 units


13.4 units


16 units


31.2 units

Answers

Answer 1

Answer:

Option C - 16 units

Step-by-step explanation:

Since the base is a square and it has an area of 576 sq.units, thus, if the side length of the base is x, then;

x² = 576

x = √576

x = 24

To get the height, we will divide this side length by 2 and use Pythagoreas Theorem.

Since, we are told that the pyramid has a slant height of 20 units,

So using pythagoras theorem, we can find the height of the pyramid as;

h² = 20² - (24/2)²

h² = 400 - 144

h² = 256

h = √256

h = 16 units


Related Questions

Find the 100th term in the arithmetic sequence 0,5,10,15

Answers

Answer:

easy peasy,

the 'n' th term of any arithmetic sequence can be found with the following formula

=> a + ( n-1) d, [where 'a' if the first term of the sequence, 'n' the number of term we need to find, and 'd' being the common difference between each two consecutive term of the sequence)

all in this case would be,

a = 0

n = 100

d = +5

hence the 100th term would be,

=>  0 + (100 - 1) 5

=> 99 x 5

=> 495

Use the proof to answer the question below.
Given: AB || DE and ZA = LC
Prove: M4BC - ADEC

a. SAS
b. AA
c. SSS
d. AAS

Answers

Answer:

if B is AAA then that is correct

Step-by-step explanation:

Find the growth rate (b) if the amount of growth is 11.8%

Answers

Answer:

B

Step-by-step explanation:

I think.

Which equation in point-slope form contains the points (0,5) and (5,8)?
A. y - 8 = (x - 5)
B. y - 5 = (x – 8)
c. y - 8 = {(x - 5)
D. y - 5 = (x – 8)

Answers

I'm going to assume you pasted the question and answers and the fractions for the slope didn't come up.

Solve for the slope using the given values.

Slope formula: y2-y1/x2-x1

= 8-5/5-0

= 3/5

Point slope form: y - y1 = m(x - x1)

Using the point (5, 8) and the slope (3/5), it should look like:

y - 8 = 3/5(x - 5)

Best of Luck!

Simplify the expression below.
tv2 - 9
4w
21
A.
B.
4w + 7
W + 3
w + 7
-9
-40 21
C.
D. w - 3

Answers

Answer:

Its either C or D

good luck

have a good day - be safe - and healthy too

Answer:

B

Step-by-step explanation:

For the relation S:{(2,3),(−1,4), (1,6)}. a Find the domain. B. Find range

Answers

Answer:

domain: {2, -1, 1}

range: {3, 4 6}

Step-by-step explanation:

In the relation of the form (x,y)

Set of all possible value of X is called Domain

Set of all possible value of Y is called  Range

To get a list of domain and range it is required to separate value of x and y

_________________________________

Relation given in the problem

S:{(2,3),(−1,4), (1,6)}

domain: {2, -1, 1}

range: {3, 4 6}

3) Which of the equivalent expressions for P(x) reveals the profit when the price is
zero without changing the form of the expression?
a) P(x) = -3x2 + 432x - 1680
b) P(x) = -3(x - 4)(x - 140)
c) P(x) = -3(x - 72)2 + 13872
4) Find the profit when the price is zero.

Answers

Question:

Which of the equivalent expressions for P(x) reveals the profit when the price is

zero without changing the form of the expression? P(x) = -3x² + 432x - 1680

a) P(x) = -3(x - 4)(x - 140)

b) P(x) = -3(x - 72)² + 13872

Find the profit when the price is zero

Answer:

- P(x) = -3(x - 140)(x - 4).

- P(0) = -1680

Step-by-step explanation:

Given

P(x) = -3x² + 432x - 1680

Required

- Find equivalent of P(x)

- Find P(x) when x = 0

To find the equivalent of P(x), we simply factorize P(x) = -3x² + 432x - 1680.

This is done as follows

P(x) = -3x² + 432x - 1680

P(x) = -3x² + 12x + 420x - 1680

P(x) = -3x(x - 4) + 420(x - 4)

P(x) = (-3x + 420)(x - 4)

Further expand -3x + 420

P(x) = -3(x - 140)(x - 4).

Hence, the equivalent of

P(x) = -3x² + 432x - 1680

without changing its form is

P(x) = -3(x - 140)(x - 4).

When price is 0, then x = 0.

Substitute 0 for P(x) in P(x) = -3(x - 140)(x - 4).

P(0) = -3(0 - 140)(0 - 4).

P(0) = -3(-140)(-4)

P(0) = -1680

Hence, the profit when price is 0 is -1680

Which tables display linear functions? Check all that apply.

Answers

Answer:

A,D, First and Last

Step-by-step explanation:

Answer:

All boxes but the top right box are linear.

which expression can be used to find the value of x in the triangle shown part b write the value of x to the nearest tenth?

Answers

Answer:

where is the image?

Step-by-step explanation:

i need an image ! :)

what is the volume of the figure below.​

Answers

Answer:

146,452

Step-by-step explanation:

Find the value of the expression (2x - 12) + ( 1/2xy - 10) for x = 8 and y = 2

Answers

(2x - 12) + (1/2xy - 10)
(16 -12) + (8 - 10)
4 + (-2)=
2
answer is 2
(2x-12) + (1/2xy-10)
16-12 + 8-10
4+(-2)

Put in order rational numbers

Answers

Answer:

[tex]-\frac{26}{40}[/tex]

[tex]-\frac{9}{20}[/tex]

[tex]\frac{12}{25}[/tex]

Step-by-step explanation:

Divide each individually.

[tex]-\frac{9}{20}=-0.45[/tex]

[tex]\frac{12}{25}= 0.48[/tex]

[tex]-\frac{26}{40}=-0.65[/tex]

Since you have to order them from least to greatest, begin by the negative number that is farthest from 0. In this case, -0.65, the next negative number would be -0.45 and finally we only have one positive number 0.48

Kyleigh put a large rectangular sticker on her notebook.the height of the sticker measures 10 cm. the base is half as long as the height. what area of the notebook does the sticker cover?

Answers

Hey there! Welcome to Brainly! I'm happy to help you!

When we are talking about the height and base, let's use the variables h and b. With the information we have been given, we can make the following equations below.

h=10                     (the height is 10)

b=h/2            (base is half as long as the height)

We see that h is equal to ten. b is equal to h divided by two, so it is therefore ten divided by 2! We take the value for h and the plug it into the second equation!

b=10/2

b=5

So, we now know that the height is 10 cm and that the base is 5 cm. However, we need to find the area. To find the area of a rectangle, we just multiply the base by the height!

10(5)=50

Therefore, the area of the sticker is 50 cm².

I hope that this helps! Have a wonderful day!

0 0 1 2 3 4 4 5 6 6

Which of the following could be the one missing data item for the above
set, if the mode is 4?

OA) 0
OB) 3
OC) 4
OD 5​

Answers

D- I could be wrong

A moving company charges $0.60 per pound for a move from New York to Florida. A family estimates that their belongings weigh about 6 tons. About how much would it cost to family to move from New York to Florida?

Answers

Answer:

this is wrong sry

Step-by-step explanation:

Answer:

$7,200

Step-by-step explanation:

1 ton is 2,000 pounds so 6 tons would be 12,000 pounds. Multiply that 0.60 and you get 7,200.

Which equation could be used to solve problems involving the relationships between the angles?
A) (12 + a) + (7a + 12) = 90
B) 90 + (12 + a) = (7a + 12)
C) (12 + a) − (7a + 12) = 90
D) (7a + 12) − 90 = (12 + a)

Answers

Answer:

c

Step-by-step explanation:

C) (12 + a) − (7a + 12) = 90

2 Points
Which of the following is an advantage to using graphs and diagrams?
A. They sometimes give you too much information so you must
decide what is relevant to the problem,
O B. They help to visualize the problem.
C. They are always the most useful in any problem.
O D. They are best used alone.
SUB

Answers

Answer:

They help to visualize the problem

Step-by-step explanation:

I WILL GET A ZERO SO PLEASE HELP! THANKS!!!

Answers

M=6 is the correct answer
Plz mark brainliest

Answer:

m = 6

Step-by-step explanation:

3.4m = 20.4

3.4m/3.4 = 20.4/3.4

m = 6

The louvre museum is a metal and glass structure that serves as the main entrance to the louvre museum paris, france. The pyramid has a volume of 8820 cubic meters. The base is a square with sides that are 35 meters long. Calculate the surface area of the louvre pyramid

Answers

Answer:

A≈3170.96m²

Step-by-step explanation:

You decide to borrow money to pay for college at 22% interest per year, in 2023.
How much will you owe on a loan of $5,000 in 2027?

Answers

Answer: On  loan of $5000 at that rate, you would be owing $9400

Step-by-step explanation: The loan is being borrowed at an interest rate that is calculated yearly. This is a case of a simple interest. The same amount of interest is calculated and that will be payable per year. The amount borrowed is the principal, and in this instance is $5000. The amount of interest payable is calculated as 22 percent of the principal and is paid yearly. So if a loan (principal amount) of $5000 is borrowed for a period of 4 years (that is, 2023 to 2027), then the interest is calculated for four years.

Hence, the formula for a simple interest computation is given as follows;

Interest = P x R x T

Where P = 5000, Rate = 0.22 (22 percent), and T = 4 (time in years)

Interest = 5000 x 0.22 x 4

Interest = 20000 x 0.22

Interest = 4400

Therefore, from the calculations shown, a loan of $5000 at the rate of 22% borrowed from 2023 to 2027 would have an interest payable of $4,400.

Upon repayment of the loan, you would be owing a total of $9,400 (that is, amount borrowed plus interest owing)

whats the mean absolute deviation of 1, 3, 2, 2, 1, 3, 3, 1

Answers

Answer:

Mean Absolute Deviation (MAD): 0.75

Step-by-step explanation:

Total numbers: 8

Mean: 2

Mean absolute deviation: 0.75

Simplify the expression. What classification describes the resulting polynomial?

Answers

Answer:

A quadratic Trinomial

Step-by-step explanation:

hope this helps

Given

(3x² - 11x - 4) - (2x² - x - 6)

Distribute both parenthesis, noting the second is distributed by - 1

= 3x² - 11x - 4 - 2x² + x + 6 ← collect like terms

= x² - 10x + 2 ←  this is a quadratic with 3 terms, thus trinomial → A

Answer: i believe the answer would be a quadratic trinomial.

Step-by-step explanation:

Can someone please help me?

Answers

Answer:

-2

Step-by-step explanation:

If f(x)= 2x+3 and g(x)= 7x-9. What is f(x) + g(x)?

Answers

Answer:

9x -6

Step-by-step explanation:

f(x)= 2x+3 and g(x)= 7x-9

f(x) + g(x) = 2x+3 + 7x-9

Combine like terms

               = 2x+7x   +3-9

               =9x -6

Answer:

9x-6

Step-by-step explanation:

2x+3+7x-99x+3-99x-6

math question below

Answers

Answer: The package reaches the ground in

4.67 s

and hits the ground with a speed of

33.8 m/s

Answer:

3m/s or option 1

Step-by-step explanation:

Given,

Height(h)=90m

time(t)=30s

Speed(v)=?

Now,

Speed(v)=distance/time

v=height/time(Since,height here is the distance covered by the balloon)

v=90/30

v=3

Unit of speed is m/s

Therefore,v=3m/s

By the way,this is a question related to physics

PLEASE HELP ON THIS QUESTION! I WILL MARK YOU BRAINLIEST IF CORRECT :) TYY

Answers

Answer:

S (3,2) T (2,4) U(1,1)

Step-by-step explanation:

You flip it over the vertical line. The Y coordinate stays the same but the X changes so it's the opposite.

What is the area of the triangle?

Answers

Answer: 24

Step-by-step explanation:

Area = 1/2 x base x height

Answer:

24cm²

Step-by-step explanation:

So you do 8×4=48 (a square) then half it (triangle) which becomes 24cm²

Well, a simple way to do it is to do base × height then half it

If Marc ran 10 miles in 3 hours, how far can he run in 6 hours?

Answers

Answer: 20 miles

Step-by-step explanation: if he runs 10 miles in 3 hours then double the amount of 10 which is 20 because 3 multiplied by 2 equals 6

If a polynomial function f(x) has roots 0, 3, and 2+ V5, what must also be a root of f(x)?
-2-sqrt15
2-sqrt15
15-sqrt 2
15+sqrt 2

Answers

Answer:

Option B.

Step-by-step explanation:

Note: Given roots are not in proper format.

Consider the polynomial function f(x) has roots 0, 3, and [tex]2+\sqrt{15}[/tex].

According to irrational root theorem if [tex]a+\sqrt{b}[/tex] is root of a polynomial P(x), then [tex]a-\sqrt{b}[/tex] is also a root of polynomial P(x).

Since [tex]2+\sqrt{15}[/tex] is an irrational root of the function f(x). By irrational root theorem [tex]2-\sqrt{15}[/tex] is also a root of function f(x).

Therefore, the correct option is B.

Answer:

B)

Step-by-step explanation:

(3x+20)=(5x-16) Find the value of X

Answers

Answer:

x = 18

Step-by-step explanation:

3x + 20 = 5x - 16

Subtract 20 from both sides

3x + 20 - 20 = 5x - 16 -20

3x = 5x -36   {Now subtract 5x from both sides}

3x - 5x = 5x - 36 +5x

-2x = -36    {Divide both sides by (-2)}

-2x/-2 = -36/-2

x = 18

Step-by-step explanation:

(3x+20)=(5x-16)

combination of like terms

3x-5x= -16-20

-2x= -36

x= -36/-2

x=18

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