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

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

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

I need help with math

Answers

The answer is A muy guy

Answer:

Its the second one

Step-by-step explanation:

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

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

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

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.

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

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

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

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.

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.

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

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

What is the average of these three numbers?

4,293 4,216 4,304​

Answers

4292+4216+4304=12813
12813÷3=4271


Answer: 4271

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]

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.

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

FOLKS I NEED YO HELPPP

Answers

I think it’s b shjsornhridnfbfkfofkfnf

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

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

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

Answers

so what’s the question?

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...

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

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

Answers

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

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:

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.

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

f(x) = (x - 2)3 + 2x ​

Answers

Answer:

5x-6

Step-by-step explanation:

What is 4 1/8 in decimal form

Answers

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