Mathematics College

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

given the numbers 36 60 and 72 write the numbers as a product of their prime factors​

Answers

Answer:

36:2 times 2 times 3 times 3.

60:2 times 2 times 3 times 5

72:2 times 2 times 2 times 3 times 3

Step-by-step explanation:

just keep in mind that when it says times it means multiplication sign.

hope this helps

Find the measure of angles T and V.

Answers

W is 90

Full equation

90+ 2x +3x =180

5x = 180-90

5x = 90

X= 90/5

X= 18

T = 3 (18)

T= 54

V=2(18)

=36

calcula b para que la recta 2x + by = - 11 pase por el punto (-2, 5)

Answers

Answer:

i dont kown sorry i hope i helped :)

Step-by-step explanation:

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You pick a card at random. 5 6 7 8 What is P(divisor of 8)? 11% 83% 25%​

Answers

Answer:25%

Step-by-step explanation:

You have a 25% (1 in 4) to pick 8

Is the first one correct and what are the ages?

Answers

For the first question (10a) I think 4x - 4 = 64 could also model the situation. For the ages, Ari is 17, Bill is 34, and Chris is 13. To check, we add them up and get a total of 64. Hope this helps.

Is AB tangent to circle C?

Answers

Answer:

The line AB is a tangent of the circle with center C.

8 2/3 divided by 4 1/8=2 1/10

Answers

Answer:

8 2/3 divided by 4 1/8=2 1/10  is Correct

exactly 2 10/99

Hi help no link pls and ty

Answers

Answer:

Unit

Step-by-step explanation:

Franklin bought a book with 90 pages. If he
reads 54 of the pages on the first night, what
percent of the book has he read?
A. 60%
B. 30%
C. 55%
D. 75%

Answers

The answer is A) 60%

Issac’s paper airplane flew 5 2/12 feet. Lillian’s paper airplane flew 5 5/12 feet. How much farther did Lillian’s paper airplane fly?

Answers

Answer:

Hi! The answer to your question is Lillian's paper flew [tex]\frac{1}{4}[/tex] feet further than Issac's

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!

- Brooklynn Deka

Answer:

3/12 or 1/4 foot.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

helppppppppp m eeeee plzzzzzzz

Answers

the answer is c, have a great day

5x^{2}-44x+120=-30+11x i am confuseddddd

Answers

Answer: x=6  x=5

Step-by-step explanation:

Answer:

take hints and don't be confused on such question


there is less customer to the organization. Use the six steps in decision making process to solve the
problem in the organization?​

Answers

Answer:

Step 1: Define Desired Outcomes and Actions. ...

Step 2: Endorse the Process. ...

Step 4: Develop Alternatives or Options. ...

Step 5: Evaluate, Select, and Refine Alternative or Option. ...

Step 6: Finalize Documentation and Evaluate the Process.

Step-by-step explanation:

There are 31 motor scooters on a used car lot, along with 67 other vehicles.
What is the probability that a randomly selected vehicle will be a motor scooter?
Write your answer as a fraction or whole number.

Answers

Answer:

31/98

Step-by-step explanation:

31 motor scooters

67 other vehicles

31 + 67 total vehicles

31 + 67 = 98

The probability is motor scooters/total vehicles

31/98 is the answer.

What’s 86.53052229 rounded to the nearest tenth ?

Answers

Answer:

86.5

Step-by-step explanation:

5 or higher round up

4 or lower round down

3 is lower than 4

Answer:

90.

Step-by-step explanation:

A tenth is 10,20,30,40,50 etc..

So if you have over 85 then it would be 90. But if you have like 84 then it would be 80.

Which statement is true about the relationship between the height of the plant and the number of days? This relationship is a function because the plant can only be one height at a time. This relationship is not a function because the plant can only be one height at a time. This relationship is a function because the plant can be more than one height at a time. This relationship is not a function because the plant can be more than one height at a time.

Answers

Answer:

This relationship is a function because the plant can only be one height at a time.

Step-by-step explanation:

Functions occur when the recorded x-value is varied each time. Since the height of the plant (the x-value) varies each day, it is a function.

Need help

1. 15% of what number is 6?

2. 25 is 10% of what number

3. 49 is 35% of what number

4. What is 310% of 65

Thanks

Answers

Answer:

1. 40

2. 40

3. 140

4. 210.5

I tried, hope this helps :)

-7/4 = 2/5x solve for x

Answers

X=-35/8 hope this helps

Kim and Steven went to dinner. Kim had a coupon for a 25% discount off the price of all meals, not including tax and tip, if the original price of meals was $75.00, what is the discounted price, not including tax and tip?

Answers

Answer:

The discounted price, not including tax and tip is $56.25.

Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!

Answers

Answer:

$10.10

Step-by-step explanation:

0.25 × 27 = 6.75

0.10 × 26 = 2.60

0.05 × 15 = 0.75

6.75 + 2.60 + 0.75 = $10.10

QUESTION 6 of 10: Your plan for your T shirt business calls for you to be able to produce 60,000 screen printed shirts in a month. If each
screen press can handle 500 shirts per day, about how many presses do you need?
a) 2
b) 3
O c) 4
d) 5
оооо

Answers

Answer: 4

Step-by-step explanation:

I did 60,000 divide by 30 days equal 2000

2000 divide by 500 equals 4

There are 4 presses we need

we have given that the T shirt business calls for you to be able to produce 60,000

In a month there are 30 days

What is the meaning of the ratio?

the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

Therefore we have

[tex]\frac{60000}{30}=2000[/tex]

we have given that

each screen press can handle 500 shirts per day,

Therefore [tex]\frac{2000}{500}=4[/tex]

Therefore ,there are 4 presses we need

To learn more about the presses visit:

https://brainly.com/question/22451

2. Change the fraction to a decimal.
a. 6/100
b. 43/100
c. 3/10
d. 4 23/4,000
How would I do this?

Answers

Answer:

A

Step-by-step explanation:

Answer:

a-0.06

b-0.43

c-0.3

d-I don't know what u were asking 423/4,000 is 0.10575

Step-by-step explanation:

Finding decimals from fractions is easy just divide the top number by the bottom a fraction sign is the same as a division sign I don't know why you use the other one with the dots on both sides instead of just always using this one.

(Middle school) I’ll give brainliest

Answers

Answer:

150.72 units^3

Step-by-step explanation:

Formula: πr2h

3.14 x 4^2 x 3 = 150.72 units^3

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, - 6) * B * (5, - 6), C(5, - 2) and D(2, - 2) . What the perimeter of rectangle ABCD

Answers

Answer:

14 units.

Step-by-step explanation:

Graph all the points on a coordinate grid. Two sides are 4 units each and the other two sides are 3 unites each.

P = 2(l + w)

P = 2(3 + 4)

P = 6 + 8 ← (The distributive property) OR 2(7) ← (Normal way to solve)

P = 14 units and 14 units.

You could also do addition.

P = 3 + 3 + 4 + 4

P = 6 + 8

P = 14 units

Hope this helped!

What's 2+2 I don't know what to do

Answers

Answer:

2+2 is 4

Step-by-step explanation:

plz mark me brainest answer

Simplify: 6a - 9+
10a.

Answers

16a - 9 I think that’s the answer hope this helped

ANSWER THE QUESTION FOR BRAINLIEST

Answers

4th answer -3,0,1,2,3

Is the point (-4, 1/2) on the graph of y= 1\2 x-4 ? How do you know? Show your work/thinking.

Answers

9514 1404 393

Answer:

  no, when x is even, y will be an integer, not a fraction

Step-by-step explanation:

We observe that the coefficient of x is 1/2, so the x-term will be an integer only if x is a multiple of 2 (even). If the x-term is an integer, y will be an integer.

The given point has x even (-4), so we expect y to be an integer. The given point has y=1/2, not an integer, so the point will NOT be on the graph.

Find the RANGE
135 120 125 133 66 78 81 91 145 135 68

Answers

The answer is 79

145-66=79

Three postal workers can sort a stack of mail in 15 minutes, 15 minutes, and 30 minutes, respectively. Find how long it takes them to sort the mail if all three work together.
min

Answers

Answer: 10 minutes

Step-by-step explanation:

x·1/20 + x·1/25 + x·1/100 = 1

Multiply each term by 100 to clear the equation of all fractions

100x/20 + 100x/25 + 100x/100 = 100

5x + 4x + 1x = 100

10x = 100

x = 10

The answer is 10 minutes

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