Identify the volume of a regular triangular pyramid with base edge length 14 ft and height 9 ft.

Answers

Answer 1

Answer:

The volume is 588 ft³

Step-by-step explanation:

[tex]v = a {}^{2} \frac{h}{3} = 14 {}^{2} \times \frac{9}{3} = 588[/tex]

Answer 2

Answer:

254.6 ft3 F

Step-by-step explanation:

To find the volume of the pyramid, first calculate the area of the base.

As the pyramid is the regular triangular pyramid, the base is an equilateral triangle.

To find the area of the equilateral triangle, calculate the length of the height.

Since the triangle is equilateral, each angle in the triangle equals 60°.

The height forms a 30°- 60°- 90° triangle. One leg of this triangle is equal to half of the side of the large triangle, or 7 ft. The other leg of the triangle is equal to 73‾√ ft by the 30°- 60°- 90° Triangle Theorem.

Therefore, the length of the height of the triangle is 73‾√ ft.

To find the area of the base of the pyramid, B, use the formula for the area of a triangle, B=12bh.

Substitute 14 for b and 73‾√ for h.

B=12⋅14⋅73‾√

Simplify.

B=493‾√ ft2

To find the volume of the pyramid, use the formula for the volume of a pyramid, V=13Bh.

Substitute 493‾√ for B and 9 for h.

V=13⋅493‾√⋅9

Simplify.

V=1473‾√

Use a calculator to approximate.

V≈254.6 ft3

Therefore, the volume of the regular triangular pyramid is about 254.6 ft3.


Related Questions



• On Sam's shelf are:
• * 5 fantasy books
4 science fiction books
. *2 comic books
*1 poetry book
• Calvin will randomly choose 1 book to read. What is the probability that
he will choose a comic book?
a) 5/12
b) 1/12
c) 1/3
d) 1/6

Ill reward brainliest! Please help!

Answers

its 1/6 because all together u have 12 books and there are 2 comics so 2/12 simplified is 1/6

Please help me. I am having trouble

Answers

Answer:

area = 41 units²

Step-by-step explanation:

area = (8 x 4) + (3 x 3) = 41 units²

Answer:

53

Step-by-step explanation:

A=s×s 3×3=9A=L×W 4×11(3+8)=4444+9 53

find x


help please, asap.

Answers

Answer:

110

Step-by-step explanation:

To solve first find the measurement of the angles inside the triangle. The angle across from the 60-degree angle is also 60 degrees because the two angles are vertical.

Then you can find the missing angle in the triangle by subtracting 50 and 60 from 180 because all triangles equal 180 degrees. This means y=180-(50+60); therefore, y=70.

Finally, you can x because the 70-degree angle is complementary to x. This means when they are added they will equal 180. So to solve do x=180-70, which equals 110. Therefore, x=110.

Answer:

180 - 50 - 60 = 70°

x = 180 - 70 = 110°

Find the circumference of a circle with area of 676 pie square meters

Please show work

Answers

Step-by-step explanation:

A= πr^2

r = √(A/π)

r = √(676π/π)

r = 26

C = 2πr

52π

= 163.36

Answer:

52 pie square metres

Step-by-step explanation:

area of a circle=pie r^2

pie r^2=676pie

r^2=676

r=26m d=52

circumference=pie d

52 pie square metres

A factory produces blue pens and black pens. Each week, 2/3 of the pens produced at the factory are black.

Write and solve an equation that can be used to determine the number of blue pens (x) produced at the factory in a week when 45,000 pens are produced.

Answers

Answer:

15,000

Step-by-step explanation:

1/3 times 45,000 = 15,00

The number of blue pens produced at the factory in a week when 45,000 pens are produced is 15,000.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

A factory produces blue pens and black pens.

2/3 of the pens produced at the factory are black.

If T is the total pens produced at the factory, then the number of black pens produced is 2/3 T.

Number of blue pens = T - 2/3 T = 1/3 T

Given that,

Total pens produced = 45,000

Equation to find the number of blue pens is,

x = 1/3 × 45,000

Solving,

x = 15,000

Hence the number of blue pens produced is 15,000.

Learn more about Equations here :

https://brainly.com/question/18067015

#SPJ3

I got a question! what is managing liquidity?

Answers

Answer:

Liquidity management refers to a set of processes, strategies, and supporting mechanisms/tools that ensure a business or bank is able to access cash when and where it is needed. This cash could be used to pay for goods and services, payroll, debt repayment, or new investment opportunities

Step-by-step explanation:

The figure below is step 1 for drawing what type of solid

Answers

Answer:

hexagonal prism

Step-by-step explanation:

has 6 sides

PLEASE ANSWER THIS QUICK I WILL GIVE BRAINLIEST IF RIGHT AND WILL GIVE THANKS!

Answers

Answer:

4,896sq

Step-by-step explanation:

just multiply bro

Answer:

104m²

Step-by-step explanation:

[tex]Area =\frac{b_{12} + b_{2}}{2}*h=\frac{9+17}{2}*8=104m^{2}[/tex]

At a tennis tournament a statistician keeps track of every serve. The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 11 mph. Assume that the statistician also gave us the information that the distribution of the serve speeds was bell shaped. What proportion of the player's serves are expected to be between 119 mph and 130 mph

Answers

Answer:

0.0215 = 2.15% of the player's serves are expected to be between 119 mph and 130 mph.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 11 mph.

This means that [tex]\mu = 97, \sigma = 11[/tex]

What proportion of the player's serves are expected to be between 119 mph and 130 mph?

This is the pvalue of Z when X = 130 subtracted by the ovalue of Z when X = 119.

X = 130

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{130 - 97}{11}[/tex]

[tex]Z = 3[/tex]

[tex]Z = 3[/tex] has a pvalue of 0.9987

X = 119

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{119 - 97}{11}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

0.9987 - 0.9772 = 0.0215

0.0215 = 2.15% of the player's serves are expected to be between 119 mph and 130 mph.

PLEASE HELPPP
Richard divided a 1.954-L bottle of spicy tomato juice
equally among 5 glasses. How much juice is in each glass?

Answers

Answer:

390.8ml

Step-by-step explanation:

1.954 divided by 5=0.3908 litres

0.3908liters=390.8ml

Please help me I'm so bad at math and doing AFDA really doesn't help..
find a, b, c in this equation, much appreciated!

Answers

Answer:

Step-by-step explanation:

a= 2x square

b= -7x

c= 17

have a nice day!

can you choose me brainliest?

In a math class with 21 students, a test was given the same day that an assignment was due. There were 12 students who passed the test and 14 students who completed the assignment. There were 4 students who failed the test and also did not complete the assignment. What is the probability that a student completed the homework given that they failed the test?

Answers

Answer:

5/9

Step-by-step explanation:

The given is students that failed the test. 5 students completed the homework and failed the test and there is a total of 9 students who failed the test. So, the answer would be 5/9

Using it's concept, it is found that there is a 0.5556 = 55.56% probability that a student completed the homework given that they failed the test.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 21 - 12 = 9 students who failed the test, and of those, 9 - 4 = 5 completed the homework, hence the probability is given by:

p = 5/9 = 0.5556.

0.5556 = 55.56% probability that a student completed the homework given that they failed the test.

More can be learned about probabilities at https://brainly.com/question/14398287

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What is the probability of being born on a day that does not begin with the letter T?

Answers

Well there is 7 days

Monday,Tuesday,Wednesday,Thursday,Friday,Saturday,Sunday

Only two start with a t so your answer would be


5/7

find the direction of
u = - 3 i + 8 j

Answers

Answer:

i came up with 1 so i hope it helps u. XD

Step-by-step explanation:

8. An isosceles triangle includes two 56' angles. Which equation could be
used to find the measure of the third angle?

Answers

Answer:

B. x=180-2(56)

Step-by-step explanation:

Isosceles triangles have 2 angles of equal measure and 1 different measure. we add both measures or multiply them by 2 and then subtract them from 180 (sum of all angle measurements in a triangle) to find the missing measure

Identify the most reasonable unit to measure the volume of a neighborhood

Answers

Answer:

I think you mean area, but acres

Find the value of X if you understand this please answer

Answers

Answer:

H sin theta = X   where H = 600 and theta is 36 by alternate interior angles

X = 600 sin 36 = 353

7. Newton buys a board game for $9.99
and a pack of trading cards for $2.99.
He gives the cashier a $20 bill. How
much change does he receive?
AWNSER ASAPP

Answers

Answer: Hello, there!  Your Answer is Below^^

7.O2 Would be The Correct Answer.

Step-by-step explanation:

So I Subtracted 20 - 12.98 And Got the Answer $ 7.02

To Add Or subtract Decimals Here's what you can do to find your Answer

Line up the numbers vertically so that the decimal points all lie on a vertical line.  

Add extra zeros to the right of the number so that each number has the same number of digits to the right of the decimal place. Step 3: Subtract the numbers as you would whole numbers.

Hope this Helps!!

Have a great day!!!

A florist sells flower bouquets. The table shows the prices for various amounts and kinds of bouquets.
Flower Bouquets
Tole Price
daisies
$23.90
tulips
$60.80
roses
?
A customer buys 3 bouquets of tulips and 2 bouquets of roses for $147.70. What is the price of a bouquet of roses?
$28.25
$29.54
$55.93
S86.90

Answers

Answer:

$28.25

Step-by-step explanation:

$28.25

Find the height of the cone plsss

Answers

Answer: the last one, 31.6

Answer:

the answer is about 31.6

Step-by-step explanation:

the formula for the height of a cone is 3(V/πr^2), so if you plug in the number, you'll get about 31.6.

The given line passes through the points and (4, 1).

On a coordinate plane, a line goes through (negative 4, negative 3) and (4, 1).

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (, 3)?

Answers

9514 1404 393

Answer:

  y +3 = 1/2(x +4)

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-3))/(4 -(-4)) = 4/8 = 1/2

The point-slope form of the equation for a line is ...

  y -y1 = m(x -x1)

Filling in the known values, this is ...

  y -(-3) = 1/2(x -(-4))

  y +3 = 1/2(x +4)

Answer:

B

Step-by-step explanation:

I need some help with this math problem. I really appreciate it. thank you very much!

Margaret's savings account had $500 in it last month. This month it has $545.

Answers

Answer:

9% increase

Step-by-step explanation:

Consider the figure below with circles R, C, and D below, where circle R and circle D are
congruent. If RA = 42 and CE = 32, then answer the questions below.
R
D
424
E
32
с
Part A: Determine CA + ED.
Part B: Determine the combined circumference of all three circles.

Answers

Answer:

a) CA + ED = 74

Step-by-step explanation:

The complete question is attached in the image

Solution

Here the two circles R and D are congruent and thus their radius will be equal  

Hence, RA (radius of circle R ) = DE (radius of circle D)

Hence, CA + ED = CA + 42

Also, RC = CD  

CA = CE + RA  = 32

So, CA + EO = 32 +42 = 74  

Which graph is defined by the function given below?
y = (x + 2)(x + 7)
118
10
A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

Answer:

Graph A

Step-by-step explanation:

the zeros of the function are

0=x+2  x=-2

and

0=x+7  x=-7

so the graph where the function crosses those two points at y=0

Mandy has a flower garden that is 30 1/2 square feet. she wants to plant daisies in 1/3 of the garden. what will the area of the daisies part of the garden be? Write and solve the equation that will help you figure out the area of the daisies section of the garden. explain the steps you took to solve the problem.

Answers

Answer:

area of the daises part of the garden = 1/3 x 30 1/2

10 1/6 square feet

Step-by-step explanation:

area of the daises part of the garden = area of garden x 1/3

= 1/3 x 30 1/2

Convert the mixed fraction to an improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator  

= 1/3 x 61/2 = 61/6

convert to mixed fraction

10 1/6

HELP! WILL GIVE BRANLIEST!

Answers

Answer: I believe it is 108 good luck girl

I think the answer is 243 because to find the volume of the prism you need multiply B times h and then divide by two

Please help me I'm so bad at math and doing AFDA really doesn't help..
Order of operation in quadratic equations

Answers

Answer:

4x²√4√6√x⁶√x

Step-by-step explanation:

4x²√(24x⁷)

The above expression can be simplified as follow:

4x²√(24x⁷)

Recall

√(MN) = √M × √N = √M√N

Thus,

4x²√(24x⁷) = 4x²√24√x⁷

But:

√24 = √(4×6) = √4√6

√x⁷ = √x⁶√x

Thus,

4x²√24√x⁷ = 4x²√4√6√x⁶√x

Therefore,

4x²√(24x⁷) = 4x²√4√6√x⁶√x

WORTH A LOT OF POINTS. WILL GIVE BRAINLEIST THINGY TO WHOEVER SOLVES IT!​

Answers

Answer:

the area of the small square 4c

the total area of the 4 triangles is 2ab

a^2+2ab+b^2 = a^2+2ab+b^2

subtracting gives 2ab from both sides gives us a^2+b^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Paul sells chocolate chip cookies and peanut butter cookies. Baking a batch of chocolate chip cookies takes 1.75 cups of flour and 2 eggs. Baking a batch of peanut butter cookies takes 1.25 cups of flour and 1 egg. Paul has 10 cups of flour and 12 eggs. He makes 4$ profit per batch of chocolate chip cookies. He makes 2$ profit per batch of peanut butter cookies. How many batches of peanut butter cookies should Paul make to maximize his profit? A. 1 B. 2 C. 5 D.8

Answers

Answer:8 easy

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

1.25 x 8 = 10 Cups of Flour

1 x 8 = 8 Eggs

2 x 8 = $16

A sweater is marked down from $25 to $19. What is the percent of change?

Answers

hi

25X = 19

    X= 19/25

    X = 0.76

so new price is  0.76 % of former price. So it's has been reduce of  24 %  

let's check :    25 * (1-24/100 ) =  25 * 0.76 = 19

The sweater is marked down by 76%
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