the volume of a pyramid whose base is aright triangle is 234 units. If the two legs of the right triangle measures 9 units and 12 units find the height of the pyramid.

Answers

Answer 1

If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.

How to calculate the volume of a pyramid.

Mathematically, the volume of a pyramid is given by the formula:

[tex]Volume = \frac{1}{3} \times base\;area \times height[/tex]

For the base area:

The area of a right triangle is given by:

[tex]A=\frac{ab}{2} \\\\A=\frac{9 \times 12}{2} \\\\A=\frac{108}{2}[/tex]

A = 54 square units.

Given the following data:

Volume of a pyramid = 234 units.

Side lengths of right triangle = 9 and 12 units.

Now, we can calculate the height of the pyramid:

[tex]234 = \frac{1}{3} \times 54 \times height\\\\234=18h\\\\h=\frac{234}{18}[/tex]

h = 13 units.

Read more on pyramid here: brainly.com/question/16315790


Related Questions

Carl is arranging 86 chairs for a
dinner party. Carl places 5 chairs at
each table. Any remaining chairs will
be set aside. How many tables will
have 5 chairs?

Answers

||17 tables|| will have 5 chairs because 86 divided by 5 is 17.2 so 17 tables with 5 in total

A large grocery store chain pays all workers time and a half on Saturdays and double time on Sundays. If an employee's regular pay is $10.75 per hour, use the expression 10.75(1.5)(x) + 10.75(2)(y) to find their gross income if they worked 4.5 hours on Saturday and 5 hours on Sunday. (4 points)
A.. $156.72
B. $177.38
C. $180.06
D. $257.44

Answers

The gross income earned by the workers if paid time and a half on Saturdays and double time on Sundays is $180.06

How to find gross income

Total = 10.75(1.5)(x) + 10.75(2)(y)

where,

x = hours worked on Saturday = 4.5 hoursy = hours worked on Sunday = 5 hours

Total = 10.75(1.5)(4.5) + 10.75(2)(5)

= 72.5625 + 107.5

= $180.0625

Approximately,

$180.06

Learn more about equation:

https://brainly.com/question/2972832

Complete the table percent fraction and decimal

Answers

Answer:

140% - 7/5 - 1.4

4% - 1/25 - 0.04

56% - 2.8/5 - 0.56

95% - 19/20 - 0.95

Identify the correct weight to the nearest 1/8 pound, then reduce the fraction if possible.

A. 2 12/16 = 2 3/4 Ib
B. 2 2/8 = 2 1/4 Ib
C. 2 14/16 = 2 7/8 Ib
D. 2 1/2 Ib

Answers

The measured weight is (2 + 3/4) lb, so the correct option is A.

How to read the measure?

First, we can see that the needle is between the 2lb and 3lb mark, so we know that we have a measure between these two values.

Now, let's count the number of small lines between the needle and the 2lb mark. There are 12 marks (the 12th is below the needle). Then the measure will be:

(2 + 12/16) lb.

Now we want to simplify the fraction. If we divide both numerator and denominator by 4, we get:

12/16 = 3/4

Then the weight is:

(2 + 3/4) lb

Then the correct option is A.

If you want to learn more about weight, you can read:

https://brainly.com/question/11408596

Answer: Now, let's count the number of small lines between the needle and the 2lb mark. There are 12 marks (the 12th is below the needle). Then the measure will be:

(2 + 12/16) lb.

Now we want to simplify the fraction. If we divide both numerator and denominator by 4, we get:

12/16 = 3/4

Then the weight is:

(2 + 3/4) lb

Then the correct option is A.

Step-by-step explanation:

What simple interest rate would you pay if you borrowed $5000 and paid back $6000 as promised after 5 years?
Enter the rate as a %.
(Use integers or decimals for any numbers in the expression.)

Answers

Answer:

4%

Step-by-step explanation:

6000 x 100 / 5000 = 120

after 5 years the total interest is 20%

each year interest = 4%

( 4 x 5 =20 )

A barn is shaped like a rectangular prism with a triangular prism on top as shown. The exterior four walls and two triangular faces need to be repainted. If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn? Enter your answer in the box.

Answers

Answer:

23 gallons

Step-by-step explanation:

Given:

A barn is shaped like a rectangular prism with a triangular prism on top as shown.

The exterior four walls and two triangular faces need to be repainted.

To Find:

If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn?

Solve:

[tex]12\cdot38\div2\cdot2+84\cdot20+38\cdot20\cdot2[/tex]

= [tex]5336\;square\;feet[/tex]

[tex]\frac{5336}{232}=23[/tex]

Hence 23 gallons to repaint the barn

~lenvy~

If cosθ=2/3 find cscθ using identities. This is in quad. 1.

Answers

Step-by-step explanation:

cos θ = 2/3

[tex] \quad \twoheadrightarrow\sf {cos \; \theta = \dfrac{Base}{Hypotenuse} } \\ [/tex]

Hence, base = 2 units and hypotenuse = 3 units.

[tex] \quad \twoheadrightarrow\sf { H^2 = B^2 + P^2} \\ [/tex]

[tex] \quad \twoheadrightarrow\sf { P^2 = H^2 - B^2} \\ [/tex]

[tex] \quad \twoheadrightarrow\sf { P^2 = (3)^2 - (2)^2} \\ [/tex]

[tex] \quad \twoheadrightarrow\sf { P^2 = 9- 4} \\ [/tex]

[tex] \quad \twoheadrightarrow\bf { P = \sqrt{5}} \\ [/tex]

Now, we know that :

[tex] \quad \twoheadrightarrow\sf {cosec \; \theta = \dfrac{Hypotenuse}{Perpendicular} } \\ [/tex]

[tex] \quad \twoheadrightarrow\bf{cosec \; \theta = \dfrac{3}{\sqrt{5}} } \\ [/tex]

Therefore, the required answer is 3/5.

The length of a rectangle is 3 inches more than it’s width.If the perimeter is 42 inches,find the dimensions of the rectangle.

Answers

Answer: Length = 9 in

Width = 12 in

Step-by-step explanation:

Length L = 3 + W

Perimeter P = 42 in

Perimeter = 2L + 2W

plugin values:

42 = 2(3 + W) + 2W

42 = 6 + 2W + 2W

42-6 = 4W

W = 36 / 4

W = 9  

solve L by substituting the value of W=9 into the equation:

L = 3 + W

L = 3 + 9

L = 12

therefore, the dimensions of the rectangle:

               Length = 9 in

               Width = 12 in

Answer:

Answer:

length = 9 in

width = 12 in

Step-by-step explanation:

You have to use the formula for the perimeter of a rectangle

P=2(l+w)

Here are two fractions.
3/10 5/7

Work out which of the fractions is closer to 1/2

You must show your working.

Answers

Answer:

5/7

Step-by-step explanation:

Umm because the denominator 7 is less than 10 and 7 is the nearest number to 1/2

I hope it helps

A quantity with an initial value of 4000 grows exponentially at a rate of 0.05% every 5 decades. What is the value of the quantity after 1 year, to the nearest hundredth?

Answers

The value of the quantity after 1 year, to the nearest hundredth is 4000.00

The exponential form of an equation

The standard exponential equation is eexpressed as:

[tex]P(t)=P_0e^{kt}[/tex]

Given the following parameters

[tex]P_0=4000\\r =0.0005\\t = \frac{1}{50} =0.02 (yearly)[/tex]

Substitute into the formula to have:

[tex]P(t)=4000e^{0.0005(0.02)}\\P(1)=4000e^{0.00001}\\P(1)=4000[/tex]

Hence the value of the quantity after 1 year, to the nearest hundredth is 4000.00

Learn more on exponential equations here: https://brainly.com/question/12940982

Help with this answer

Answers

Answer:

down syndrome

Step-by-step explanation:

Please help me find the code for this puzzle l. I included all you will need.

Answers

Answer:

Code: AHAN

Step-by-step explanation:

Domain: 0 to 8.

Range: 0 to 18.

0 is A.

H is 8.

N is 18.

Solve the equation X=

Answers

Step-by-step explanation:

I think the answer is x=70

After a 25% reduction, a sweater is on sale for $41.25.
What was the original price?

Answers

Let the original price be x.

x * (1 - 0.25) = $41.25

0.75x = $41.25

x = $41.25 / 0.75 = $55

Answer:

$55

Step-by-step explanation:

____ decrease by 25%= $41.25, which the unknown number is $55.

What is the sum of 1/4 and 5/12 ?

Answers

Answer: 8/12

Step-by-step explanation:

1/4 times 3 will give you 3/12 and add 5/12

Help help help help help

Answers

Answer:

A' = (- 3, 0)

Step-by-step explanation:

[tex]A' = (x + 3, \: y - 2) \\ \\ \implies \: A' = ( - 6+ 3, \: 2 - 2) \\ \\ \implies \: A' = ( - 3, \: 0) [/tex]

Answer:

A' = (-3, 0)

Step-by-step explanation:

Pre-Image coordinate:

A (-6, 2)

Translation: (x, y) --> (x + 3, y - 2)

(-6 + 3, 2 - 2)

(-3 0)

Image coordinate:

A' = (-3, 0)

hope this helps!! p.s. i really need brainliest :)

What is the equation of the parabola with focus (0, 1/2) and directrix y= -1/2

Answers

keeping in mind that the vertex is half-way between the focus point and the directrix, and since the focus point is above the directrix, meaning the parabola is a vertical parabola opening upwards, the parabola will more or less look like the one in the picture below, with a distance from the vertex of "p" being positive since it's opening upwards.

[tex]\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\begin{cases} h=0\\ k=0\\ p=\frac{1}{2} \end{cases}\implies 4(\frac{1}{2})(y-0)~~ = ~~(x-0)^2\implies 2y=x^2\implies y=\cfrac{1}{2}x^2[/tex]


Derek bought a pair of pants for $35 and 3 shirts. He spent a total of $62.50. How much did each shirt cost? What is the equation for X?

Answers

Answer:

62.25=35+3x

62.25-35=27.25

27.25=3x

divide both sides by 3

x=9.08 or just 9

20.
19. Make Sense and Persevere Use the Distributive
Property to expand 7(7x - 3y) - 6.
HELP PLEASE

Answers

Answer:

49x-21y-6

Step-by-step explanation:

7(7x) 7(-3y) -6

49x-21y-6=0

Arun and Benny started saving at the same time. Each day, Arun
saved $1.20 and Benny saved $0.30 more than Arun. How much would
Arun have saved if Benny saved $11.40 more than Arun?

Answers

Answer:

$45.60 would be what Arun would have saved.

* WILL MARK BRAINIEST*
PLEASE HELP
7.03 Understanding Compound Events -

Record your results here:

Landing: Frequency:
heads, heads ____________
heads, tails ______________
tails, heads ______________
tails, tails ________________
TOTAL: 50
please help :))

Answers

Answer:

Tails, tail: 26

Heads: 9

Heads Tails: 26

Tails: 15


Step-by-step explanation:
(credit to the person who answered your question before me)

Have a great rest of your day
#TheWizzer

Which describes the combined variation in the formula h=2a/b?
h varies jointly with 2 and A and inversely with b.
h varies directly with A and inversely with b.
h varies jointly with A and b.
h varies inversely with A and b.

Answers

Step-by-step explanation:

h varies directly with a and inversely with b.

2 is the constant of variation.

help me please. either one is fine.

Answers

7)
95+(3x+23)+(7x-4)+(9x-6)+90 = (5-2) x 180
x = 18

9)
41+(3x+6)+(7x-11)+62+(4x+7)+(6x-5) = 360
x = 13


1ST TO ANSWER GETS BRAINLIEST
What is the total area of the patio, walkway, and garden?

Answers

Answer:

82 ft²

Step-by-step explanation:

-8 - (-2) = X
X = ?
WHAT IS X ?

Answers

Answer:
x = -6

Steps:

-8 - (-2) = x

Remove parenthesis.

-8 - - 2 = x
-8 + 2 = x
2 + - 8 = x
2 - 8 = -6
when two negatives are placed together it becomes positive

-8 + 2 = -6

which pair of pairs of polygons are congruent.

Answers

Answer:

bottom left. (arrow shaped)

Step-by-step explanation:

congruent shapes are the same size and shape

the sum of 3x and 1 is greater than-5 and less than or equal to 10

Answers

Answer:

x is greater than -2 and less than or equal to 3

Step-by-step explanation:

so the 3x + 1 is greater than -5

so 3x is greater than -6

we divide both sides by 3

then we find out that x is greater than -2

we also know that 3x + 1 is less than or equal to 10

so 3x is less than or equal to 9

we divide both sides by 3

then we find out that x is less or equal to 3

so we can say that x is greater than -2 and less than or equal to 3

which is a better value? 1 pound of apples for 2.15 or 3 pounds of apples for 5.76

Answers

Answer:

From what i've gotten on another answer on brainl It might be 3 pounds of apples for 5.76. On another question i've resarched i've also gotten $7.91.

Step-by-step explanation:

Sorry if none of these answers have helped you.

Answer:

The 2nd offer - 3 pounds of apples for 5.76

Step-by-step explanation:

1. Find the unit price for the 1st offer.

The unit price is 1 pound of apples for $2.15.  <-- given information

2. Find the unit price for the 2nd offer.

We can set up a proportion to find the unit price.

3 pounds / $5.76 = 1 pound / $x

Let x = how much 1 pound of apples are for the 2nd offer

Cross multiply

3 · x = 5.76 · 1

Simplify

3x = 5.76

Divide both sides by 3 to isolate x

x = 1.92 = $1.92 for a pound of apples (2nd offer)

3. Compare the two offers' unit prices.

$2.15   <-- 1st offer

$1.92   <-- 2nd offer

The second offer is the better value because it costs less for each pound of apple.

I hope this helps and please mark me as brainliest!

I REALLY NEED HELP MY GRADES GO IN TONIGHT AND I CANT SOLVE THIS I NEED A REAL ANSWER I WILL CHECK BEFORE GIVING POINTS!!!!!!!!!!!!!!!!!

Answers

Answer:

it's "whats shaking"

Step-by-step explanation:

Answer:

k=8.

n=12

a=29

h=5

i=297

g=89

Solve on [0,2pi). Answer in order from smallest to biggest
cos x sin x = sin x

Answers

Answer:

0, π

Step-by-step explanation:

cos x sin x = sin x

cos x sin x - sin x = 0

sin x (cos x - 1) = 0

sin x = 0, x = 0, π

cos x - 1 = 0

cos x = 1, x = 0

So answers: 0, π

Other Questions
What do you think are research resources? C H O I C E S :clippings, videos, textbook, keyboard, recipes Which of the following is NOT an example of force?A. gravityB. massC. a pushD. remain at rest Compound a and compound b are both aromatic esters with molecular formula c8h8o2. When treated with bromine in the presence of iron tribromide, compound a is converted into only one product, while compound b is converted into two different monobromination products. The combustion of ethane in the presence of excess oxygen yields carbon dioxide and water: 2c2h6 (g) + 7o2 (g) 4co2 (g) + 6h2o (l) the value of s for this reaction is ________ j/kmol. A type of reaction that gives off energy is called A word that describes a time where something doesn't fit in a situation Which is NOT true about an animal life cycle?O A) Most animals spend the majority of their life as diploid organismsB) Fertilization occurs when a sperm and an egg fuseC) The gametophyte stage is followed by the sporophyte stageD) The zygote that forms develops into an embryo A company produces light bulbs each week. written in scientific notation, which is the best estimate of how many light bulbs the company will make in weeks? light bulbs light bulbs light bulbs light bulbs All of the following are examples of effective informative speech topics for a group of high school graduates and college students except: a. how to use federal financial aid to your benefit b. why you should choose harvard law school c. effective study habits and test taking strategies d. both a. and c. above. please select the best answer from the choices provided a b c d How should the solute and solvent be mixed in the container?. Organize the events of the Russian Revolution in the orderthey occurred. The first event should be at the top and thelast event at the bottom of the list. how many one third cup servings are in 16 cups Timon and pumbas ""hakuna matata"" motto comes from what language?. what is -12 divided by 3 Which of the following is an informal definition of dastardly? If 10% of your paycheck was withheld for federal income taxes and another 6% for state income taxes, how much would your net (or take-home) pay be? How do you multiplying or dividing a fractions to obtain equivalent hurry please im running out of timeill give brainliest The length is :____meters and the width is____meters. 2. What value did you calculate for the index of refraction of the acrylic block in Part 2? How does your value compare to the accepted value of 1.50? Calculate the percentage error. Different materials have distinct indexes of refraction. Explain how you might identify a material based on experiments like this one. Mention at least one of the difficulties in identifying materials based on their indexes of refraction.