A right square pyramid has a slant height of 25 feet, and the length of a side of the base is 14 feet. What is the height of the pyramid?

Answers

Answer 1

Answer: [tex]24\ ft[/tex]

Step-by-step explanation:

Given

The slant height of the square pyramid is [tex]l=25\ ft[/tex]

The length of the side of the base is [tex]a=14\ ft[/tex]

for the square pyramid, height is given by

[tex]\Rightarrow h=\sqrt{l^2-r^2}\quad \quad [\text{where r=}\frac{a}{2}]\\\Rightarrow h=\sqrt{25^2-7^2}\\\Rightarrow h=\sqrt{625-49}\\\Rightarrow h=\sqrt{576}\\\Rightarrow h=24\ ft[/tex]

Thus, the height of the prism is [tex]24\ ft[/tex]  


Related Questions

Una familia buscá una vivienda valorizado en 200000 mil soles. Para lo cual buscan su financiamiento atravesó de 3 bancos, las cuales proponen las condiciones que se muestran en la tabla

Answers

Answer:

Banco A o banco B

Step-by-step explanation:

Question:

La tabla obtenida de una pregunta similar en el sitio se presenta a continuación;

[tex]\left |\begin{array}{ccccc}Entidad \ bancaria&Cuota \ inicial&Tasa \ de \ interes \ anual &\mid &Tiempo \ anos \\Banco \ "A"&10\%&15\%&\mid&20\\Banco \ "B"&20\%&13\%&\mid &25\\Banco \ "C"&0\%&10\%&\mid&30\end{array}\right |[/tex]

¿Qué banco es el más conveniente para financiar la vivienda familiar?

Para el banco A, tenemos;

El pago inicial = 10/100 × 200,000 = 20,000

El interés = 180.000 × 15 × 20/100 = 540.000

Importe total, A = 540.000 + 20.000 = 560.000

Para el banco B, tenemos;

El pago inicial = 20/100 × 200,000 = 40,000

El interés = 160.000 × 13 × 25/100 = 520.000

Importe total, B = 520.000 + 40.000 = 560.000

Para el banco C, tenemos;

El pago inicial = 0/100 × 200,000 = 0

El interés = 200.000 × 10 × 30/100 = 600.000

Monto total, C = 600,000 + 00 = 600,000

Por lo tanto, la familia debe seleccionar el banco A o el banco B que tenga el monto total de reembolso más bajo

f(x) = (x - 2)3 + 2x ​

Answers

Answer:

5x-6

Step-by-step explanation:

FOLKS I NEED YO HELPPP

Answers

I think it’s b shjsornhridnfbfkfofkfnf

Jordan scored 19 points during a basketball game. She made a total of 9 baskets.

If Jordan made only one-point free throws and three-point baskets, how many of each did she make?

A
1 one-point basket; 6 three-point baskets
B
4 one-point baskets; 5 three-point baskets
C
5 one-point baskets; 4 three-point baskets
D
6 one-point baskets; 3 three-point baskets

Answers

Answer:

B) 4 one-point baskets: 5 three-point baskets

Step-by-step explanation:

(4 x 1) + (5 x 3) = 19

Answer:

B

Step-by-step explanation:

5x3=15

4x1=4

15+4=19

PLUS a total of 9 baskets.

Therefore, your answer is B

Olivia bought some granola bars and spent at least $6.24. Write and solve an equality to find the number of granola bars she bought. Explain the real-world meaning of the solution.

Answers

Answer:

n ≥ 6.24/x

Step-by-step explanation:

Given that :

Amount spent is atleast $6.24

Let price spent = p

p ≥ $6.24

If cost of granola bar = x

The number of granola bars, n purchased will be :

n ≥ 6.24/x

Since cost of granola bar isn't given, we represent it as x.

2x + 2y = -2
3x - 2y = 12
Solve By Elimination
Pls give me the hole equation

Answers

Answer:

x = 2

y = -3

Step-by-step explanation:

2x + 2y = -2, then 2y = -2 - 2x

3x - 2y = 12, then 2y = 3x - 12

so:

-2 - 2x = 3x - 12

add 2x and 12 to each side of the equation:

5x = 10

divide both sides by 5:

x = 2

2y = 3(2) - 12

2y = -6

divide both sides by 2:

y = -3

What this I’m trying to figure it out ASAP plz help

Answers

Answer:

i hink c or a

Step-by-step explanation:

Properties  

A line segment is a connected, non-empty set.

If V is a topological vector space, then a closed line segment is a closed set in V. However, an open line segment is an...

More generally than above, the concept of a line segment can be defined in an ordered geometry.

A pair of line segments can be any one of the following: intersecting, parallel, skew, or none of...

Quincy has saved $2500 so far to buy a new car in 4 years. He can put this amount into an account, that
earns 3.2% simple interest, or another with 3.5% compounded annually. Which method of earning
interest should he choose, simple or compound, and how much more interest will the account earn
using that method?

Answers

Answer:

he should chose compounded annually because he would have and extra 32.12 dollars at the end of the 4 years

Step-by-step explanation:

hope this helps

please help, much appreciated

Answers

Answer:

b=5 a=6

Step-by-step explanation:

x^5/6=x^b/a

5/6=b/a

b=5, a=6.

Answer:

a = 6

b = 5

Step-by-step explanation:

[tex] \large \boxed{ {a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} } }[/tex]

Plug those values in.

[tex] \large{ {x}^{ \frac{5}{6} } = \sqrt[6]{ {x}^{5} } }[/tex]

From the question, our a is 6 and b is 5.

Find the area for a triangle that has a base of 24 inches and a height of 4 inches.



28 in 2
48 in 2
cannot be determined
96 in 2

Answers

Answer:

48in²

Step-by-step explanation:

to find the area of a triangle you first divide the base by 2 then multiply it by the height

Please HELP I will make you brainlist !!! Need surface area

Answers

Answer:

22969.39 yd^2

Step-by-step explanation:

Alright to start, lets do the easier part of it, the sides of it. Since it is an octagonal prism, there are 8 rectangular sides to it. Each of these sides can be found with L*W, so use the given length of 15 and width of 6 to do this.

15 * 6 = 90

Since there's 8 of these:

90 * 8 = 720

Now, with the tricky part with the bases of the octagonal prism. Let's find the perimeter of the octagon, so use the top width of each of the rectangles.

6 * 8 = 48 = Perimeter

Now, here's the magic equation to avoid making this more complicated:

2(1+√2)p^2

Then plug in p

2(1+√2)48^2

(2+2√2) * 2304

(2+2.8284)*2304

4.8284*2304

11124.69...

But there's two bases so: 22249.39

Lastly, add this to the 720 from the rectangular prisms.

22249.39+720 = 22969.39

Hope that helps.

I need help with math

Answers

The answer is A muy guy

Answer:

Its the second one

Step-by-step explanation:

In the diagram below, FED ~ ACEG. Find d. 5 m 의 4 m E 10 m Write your answer as a whole number or a decimal. Do not round. meters​

Answers

Answer:

Step-by-step explanation:

k

Examples of consecutive even numbers would be 20, 22, 24, etc........What is the larger of the two, consecutive (positive) even numbers that have a product of 1848? Your answer will be a whole number; do not use any letters or special characters.

PLEASE HELP ME, AND THANK YOU!

Answers

42x44=1848

The larger number is 44

PLSSSS HELP IMMEDIATELY!!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!

Answers

1:3 I think **************

Toni rents bowling shoes for $6. She bowls 2 games and spends a total of $22. Write and solve an algebraic equation to find the cost of each game.

Answers

Answer:

22=2x+6

Step-by-step explanation:

you subtract 6 from both sides

that leaves u with 16=2x

then divide 2 by 16 and that equals

8

so 8=x

each game costs $8

you put the 2 in front of the x in the beginning due to Toni playing 2 games while the shoes are a one time fee.

What is the average of these three numbers?

4,293 4,216 4,304​

Answers

4292+4216+4304=12813
12813÷3=4271


Answer: 4271

tell me the answer for all these no links- I MEAN IT!

Answers

Answer:

1 - 3rd option (99.5)

2 - 5.

3 - 3rd option (56)

4 - 3rd option (113)

5 - 10 Im really not sure sorry ):

Step-by-step explanation:

This should be the last question for the day...hopefully

Answers

I’d think it’s equated to the one, why I think that? Idek.

For which inequality is x = 7 a solution?

Answers

Answer:

letter C HOPE it helps.............

Answer:

B. 15 + x < 24

Step-by-step explanation:

12 + 7 = 19 which is > 16 not < so no

15 + 7 = 22 which is < 24 so yes

16 + 7 = 23 which is = 23 not < so no

17 + 7 = 24 which is < 26 not > so no

24 + 7 = 31 which is = 31 not > so no

Your friend finds the perimeter of the figure. Is your friend correct?

Answers

No shes not.

You need to add all the sides if finding perimeter

Answer:

no

Step-by-step explanation:

the equation should only have one 5, the other 5 doesn't matter for perimeter

which expression could be used to find the value of x in the diagram WILL MARK BRAINLIEST

Answers

Answer:

[tex]sin 35 = \frac{opposite}{hypotenuse} \\\\\\sin 35 = cos(90-35) \\\\cos 55= \frac{opposite}{hypotenuse} = \frac{12}{x}[/tex]

option A

I need Help! Please help I really don’t know how to anwser it no links will report I really need help will make brainliest :(

Answers

Answer:

16/50 or 8/25

Step-by-step explanation:

Good luck. Hope you get a good grade

Please help! I will give Brainliest!
Who is correct?

Answers

Irving is correct! A triangle is unique if the two shorter segments is "less than or equal to" the third segment.
4.5+8.5=13 which is less than 14.

note: Could you do me a favor and mark me as brainiest, that would really help motivate me to help out more people in the future. Thanks! ☺️ <3

Point Q was rotated about the origin (0,0) by 180 (this is from khan academy)

Answers

so what’s the question?

Using the graph, determine the coordinates of the y-intercept of the parabola.

Answers

Answer:

Y-intercept is 7

Step-by-step explanation:

Y-intercept is when the graph crosses the y-axis

How do you do this?
Find M

Answers

Answer:

Step-by-step explanation:

Let angle ABZ be angle 1 and angle ZBC be angle 2.

Angle 1 = 85 degree

Angle 2 = 6x + 9

measure of angle ABC = 24x+4

Angle 2 = ABC - 85

6x + 9 = 24x + 4 - 85

6x - 24x = 4 - 85 - 9

-18x = -90

x = -90/-18 = 90/18 =

x = 5

Therefore the measure of angle 2 = 6*5 + 9 = 30+9 = 39 degree

Therefore the measure of angle ZBC = 39 degree

Hope you understand

Please mark as brainliest

Thank You

Enter the patriot equivalent to Tan (A)

And

Enter the ratio equivalent to cos (B)

Answers

Answer:

[tex](a)\ \tan A = \frac{5}{12}[/tex]

[tex](b)\ \cos B = \frac{5}{13}[/tex]

Step-by-step explanation:

Given

See attachment for triangles

Solving (a)

[tex]\tan(A)[/tex]

The tan of an angle is:

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

From the given triangle.

[tex]Opposite = 5[/tex]

[tex]Adjacent = 12[/tex]

So, we have:

[tex]\tan A = \frac{5}{12}[/tex]

Solving (b)

[tex]\cos(B)[/tex]

The cos of an angle is:

[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]

From the given triangle.

[tex]Adjacent = 5[/tex]

[tex]Hypotenuse = 13[/tex]

So, we have:

[tex]\cos B = \frac{5}{13}[/tex]

What is 4 1/8 in decimal form

Answers

4 1/8 is equal to 4.125 in decimal form.

A health worker is interested in determining if omega-3 fish oil can help reduce cholesterol in adults. She obtains permission to examine the health records of 200 people in a large medical clinic and classifies them according to whether or not they take omega-3 fish oil. She also obtains their latest cholesterol readings and finds that the mean cholesterol reading for those who are taking omega-3 fish oil is 18 points lower than the mean for the group not taking omega-3 fish oil. This is an example of

Answers

Answer:

This is an example of a;

T-test

Step-by-step explanation:

A t-test is a statistic test from which inferences can be drawn based on weather the difference in the means of two sample groups that could have particular common characteristics. The t-test is used for data sets that are normally distributed and the variance may be unknown

The t-test is used to test a proposed hypothesis (assumption) about a population

Therefore, based on the interest of the health worker to determine if omega-3 fish oil can help reduce cholesterol in adults by finding the difference in the means for the group taking omega-3 fish oil and the group not taking omega-3 fish oil, from which it can be determined if the difference in mean is statistically significant, is an example of a t-test

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