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

Find the distance between the two points in simplest radical form.
(8, 2) and (0, -3)

Answers

Answer:

√89

Step-by-step explanation:

Plug into Distance formula --> √(0-8)^2 + (-3-2)^2

---> √89

How are genetic engineering and artificial selection different? (in your own words)

Answers

Artificial selection picks previously existing qualities by breeding individuals with favourable traits, whereas genetic engineering affects the genetic composition of plants or animals by adding new genes or silencing genes.

What is the area of a triangle whose sides have length $\sqrt{70},$ $\sqrt{70},$ and $\sqrt{28}$?

Answers

Answer:

980

Step-by-step explanation:

[tex]A = \frac{H.B}{2} = \frac{28.70}{2} = 980[/tex]

Hope it helps!!!Brainliest pls!!!

Answer:

21

Step-by-step explanation:

I need help. Work has to be shown but i don’t know how to do them

Answers

Step-by-step explanation:

1.

1% of 500 is 5 so multiply 5 by 8 for one year. which is 40 so multiply that by 2.

1% of 500 = 5

5 × 8 = 40

40 × 2 = 80

2.

1% of 1000 = 10

10 × 5 = 50

50 × 3 = 150

3.

12 months = 6%

6/12 = 1 month

0.5 = 1 month

0.5 × 9 = 4.5 (the amount of interest for 9 months.)

800 × 4.5% = 36

4.

12 months = 7%

7/12 = 1 month ( i'll leave this in fraction form because of the decimal points.)

7/12 x 8 = 4.666667 or 4.7 rounded.

1200 × 4.7% = 56.40

find the average rate of change of over the interval (0,9 ]

Answers

Answer:

3.  10/9

4.  34

Step-by-step explanation:

The average rate of change of f(x) over the interval a ≤ x ≤ b is:

[tex]\sf \dfrac{f(b)-f(a)}{b-a}[/tex]

Problem 3

Given interval: 0 ≤ x ≤ 9

From inspection of the graph:

f(0) = -7f(9) = 3

[tex]\sf average \ rate \ of \ change=\dfrac{f(9)-f(0)}{9-0}=\dfrac{3-(-7)}{9}=\dfrac{10}{9}[/tex]

Problem 4

Given:

function f(x) = x³ - 9xinterval: 1 ≤ x ≤ 6

⇒ f(1) = (1)³ - 9(1) = -8

⇒ f(6) = (6)³ - 9(6) = 162

[tex]\sf average \ rate \ of \ change=\dfrac{f(6)-f(1)}{6-1}=\dfrac{162-(-8)}{5}=34[/tex]

Write the system below in the matrix form by using matrix multiplication:
x − 2y + z = 7
2x − y + 4z = 17
3x − 2y + 2z = 14

Answers



x-2y+Z=7

2x-y+ 42 = 17

3×-2y+2z=14

A rule for creating a pattern is given below. The rule begins with a number called the input and creates a number called the output.

Rule: Multiply the input by 5. Then subtract 4 from the result to get the output.

Which input and output table works for the rule?

Choose 1 answer:

(Choice A)

Input: 5 Output: 5

(Choice B)

Input: 3 Output: 7

(Choice C)

Input: 2 Output: 6

Answers

Answer:

Choice C - Input: 2 Output: 6

Answer:

C

Step-by-step explanation:

evaluate the output for the given input values using the rule

choice A

5 × 5 - 4 = 25 - 4 = 21 ≠ 5

choice B

3 × 5 - 4 = 15 - 4 = 11 ≠ 7

choice C

2 × 5 - 4 = 10 - 4 = 6 ← equals the output value

add the integers (-14)+(-31)​

Answers

Answer:

[tex]-45[/tex]

Step-by-step explanation:

add the negative numbers together, and the solution stays negative.
[tex](-14) + (-31) = -45[/tex]

Alma reads 2 books each week Which number line best represents the number of weeks it
will take her to read at least 28 books?

Answers

Answer:

[C]

Step-by-step explanation:

To Find:

which number line represents the number of weeks it will take Alma to read at least 28 books.

Solve:

Create an inequality from the given information :

( 2x ≥ 28, where x represents the number of weeks)

Then divided both sides of the inequality by 2, resulting in x ≥ 14, or all values greater than or equal to 14.

Now,  chosen the number line that shows all numbers greater than or equal to 14 (all the numbers to the right of 14 and including 14, which is indicated by a shaded circle).

Hence, [C} is the correct answer.

~Lenvy

Lee watches TV for 4 hours per day. During that time, the TV consumes 150 watts per hour. Electricity costs (10 cents)/(1 kilowatt-hour). How much does Lee's TV cost to operate for a month of 30 days?

Answers

Step-by-step explanation:

1 kilowatt=1000 watt

tv watch time=4*30=120

the watt tv consume=120*150=18000

the kilowatt tv consume=18000/1000=18

electricity cost =10*18

180 cents

Use the long division method to find the result when 4x3 + 12x2 + 172 + 9 is
divided by x + 1.

Answers

Answer:

216

Step-by-step explanation:step 1

first you are going to multiply and add all of the things that need to be multipied and added

4x3=12

12x2=24            

172+9= 181

                   ^  12+24+181= 217

second step: put 217 and x+1 in an equation

you cant divide a number with an x, so you have to put it in an equation and solve for x

x+1=217 ( subtract 1 to the other side of the = sigh. 217-1= 216)

x=216

find the total area of cardboard used in making a matchbox, complete with the sliding portion, 4cm long, 2.5cm wide, and 1.2cm deep (ignore the thickness of the cardboard)

Answers

Answer: 55.2 cm^2

Step-by-step explanation:


2(4x2.5 + 2.5x1.2 + 1.2x4) = 35.6 cm^2


(2x1.2x4 + 4x2.5) = 19.6 cm^2


(35.6 + 19.6) = 55.2 cm^2

CHERRY PIE A circular cherry pie has a radius of 6 inches. If the pie is cut into 8 congruent slices, what is
the area of one slice to the nearest hundredth?
6 in.
16.35 in?
14.14 in?
19.72 in2
17.13 in?

Answers

the correct answer would be the 3rd option

Solve the inequality 46 > y + 11

Answers

Answer:

Inequality Form:

y<35

Interval Notation:

(−∞,35)

Answer:

y is smaller than 34 or less

Step-by-step explanation:

put the 11 to the other side and make it a negative then you get 46-11=35 than it says 35>y

100 PTS/// If you have a 2.5% chance of getting something every 3 minutes how long will it take until that's guaranteed?

Answers

Answer:

120 min

Step-by-step explanation:

step 1. divide 100% by 2.5 (=40)

step 2. 40 time 3 minutes = 120!

so by the time it gets to 120 minutes it 100% and guaranteed

Answer:

120 mn

Step-by-step explanation:

100 PTS/// If you have a 2.5% chance of getting something every 3 minutes how long will it take until that's guaranteed?

What is the answer for B

Answers

i can’t see anything on the thing bro
promoted an atmosphere of lawlessness and violence. ?

Use the Virtual Dice Roller and roll two dice three times (or grab a pair of dice at home!).

Record the sum of the two dice for each virtual roll.

The first virtual roll is how many work shirts you have in your closet.
The second roll is how many pairs of work pants you have in your closet.
The third roll is how many pairs of work shoes you have in your closet.
Calculate and explain how many different ways can you dress every morning. Show all calculations.

Answers

The simulation of the virtual dice roller illustrates combination and sample space

There are 36 different ways you can dress every morning

How to determine the number of ways of dressing?

The sample space of the two dice are:

Die 1 = {1,2,3,4,5,6}

Die 2 = {1,2,3,4,5,6}

From the above sample space, we have the sample size to be:

n(Die 1) = 6

n(Die 2) = 6

The sample size of the experiment would be:

n = n(Die 1) * n(Die 1)

Substitute known values

n = 6 * 6

Evaluate the product

n = 36

The above represents the different ways you can dress every morning.

Hence, there are 36 different ways you can dress every morning

Read more about sample space at:

https://brainly.com/question/10837034

Lily is $90\text{ cm}$ tall. If Anika is $\frac{4}{3}$ of the height of Lily, and Sadaf is $\frac{5}{4}$ of the height of Anika, how tall is Sadaf?

Answers

Answer:

your mom

u.w.u

lol

haha

study well

damita uses the pythagorean theorem to write the equation 2k² = j² to represent the triangle shown. Is she correct? Explain.​

Answers

Answer:

Yes, She is correct.

Step-by-step explanation:

Pythagorean theorem:

base² + altitude² = hypotenuse²

k² + k² = j²

Add the like terms. Like terms have same variable with same power.

2k² = j²

evaluate the function for x=8 f(x)=x2/16-2x

Answers

Answer:

f = 8

Step-by-step explanation:

f(x) = x2/16 - 2x

f(8) = (8)2/16 - 2(8)

8f = 16/16 - 16

8f/8 = 16/8

f = 8

given determinant of a (a b c,d e f ,g h i) is -2 find determinant of ( g h i ,a b c ,d e f)​

Answers

ANSWER:-

-2

Step-by-step explanation:

(abc, def, ghi) is -2

If EF || DG, and S and T are midpoints, then DG= ? Ef=13 ST=19

Answers

Answer: 25

Step-by-step explanation:

Find the equation that passes through the points (8,10) and (4,5). Give your results using function notation

Answers

Answer:

  f(x) = 5/4x

Step-by-step explanation:

The equation of the line can be found using the 2-point form of the equation of a line:

  y -y1 = (y2 -y1)/(x2 -x1)(x -x1)

This can be rearranged to the desired funtional form.

__

Using the given points (x1, y1) = (8, 10) and (x2, y2) = (4, 5), we have ...

  y -10 = (5 -10)/(4 -8)(x -8)

  y = (-5/-4)(x -8) +10 = (5/4)x . . . . . add 10 and simplify

The equation can be written ...

  f(x) = 5/4x

Solve: |2x+3|=2 CAN SOMEONE PLEASE EXPLAIN THIS TO ME!!!

Answers

Answer:

-1/2 or -5/2

Step-by-step explanation:

| | means the absolute value (distance from 0), so there is going to be a positive case and a negative case (distance from the negatives and distance from the positives).

POSITIVE CASE

[tex]2x+3=2\\2x=-1\\x=-\frac{1}{2}[/tex]

NEGATIVE CASE

[tex]-(2x+3)=2\\-2x-3=2\\-2x=5\\x=-\frac{5}{2}[/tex]

So, your answer would be -1/2 or -5/2.

Step-by-step explanation:

after 4x^2+12x+5

do sum and product but I solved it directly through calculator

hope it helps

Guys please help! i will mark brainliest to the right answers

Note: in order for me to mark a brainliest 2 people need to answer

Answers

Answer:

Step-by-step explanation:

c) To find slope, choose any two points.

(2,16)  & (4 , 31)

[tex]\boxed{slope= \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

         [tex]\sf =\dfrac{31-16}{4-2}\\\\=\dfrac{15}{2}=7.5[/tex]

The slope is 7.5, which means that Kobby's puppy gained 7.5 pounds a month for the first 6 months.

a) Equation of line in slope -intercept form: y  = mx +b

[tex]y =\dfrac{15}{2}x+b[/tex]

Now, substitute the point (2 ,16) in the above equaiton and find the y-intercept b.

[tex]\sf 16 =\dfrac{15}{2}*2+b\\\\16=15+b\\\\16-15=b[/tex]

b = 1

Equation of the line:

[tex]y=\dfrac{15}{2}x+1[/tex]

b)  y-intercept = 1

The y-intercept is 1, which means that Kobby'spuppy weighed 1 pound at birth

Una ayuda porfavor, lo necesito urgente, es algebra

Answers

Answer:

yes

Step-by-step explanation:

yessir I was at the game was going to the game was going to the game was good to go to the game was going to the game

Eight subtracted from four times a number is 84. What is the number?

A) Translate the statement above into an equation that you can solve to answer this question. Do not solve it yet. Use
x
as your variable.

The equation is


B) Solve your equation in part [A] for
x
.


Answer:
x
=

Answers

Answer:

Hope the picture will help you

Can someone help me with this question?

Answers

Step-by-step explanation:

hope it helps, I have chegg and they seem to have more answers and a lot of topics. you can scan your books bar code and get end of chapter questions

helphelphelphelphelphelphelphelphelphelphelphelphelphelphelp

Answers

It would be the first one

Answer:

Its mass or size.

The amount possessed by an object directly upon the square of the speed. It increases the kinetic energy.

A home builder needs to cover the rectangular floor of a closet with a carpet the closet is 2 yards long and 2/3 of a yard wide how much carpet will the home builder need to cover the closet?

Answers

Your Answer is 4 Yards

Step-by-step explanation:

2/3 yards is 2 feet

2 yards is 6 feet

2 times 6 feet is 12 foot e.g. (2 x 6 =  12)

12 feet is 4 yards.

Formula (L x W = A)

L = length

W = Width

A = Area

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

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