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

PLEASEEE HELPPPP U DONT HAVE TO BE CORRECT JUST HAS TO MAKE SENSEEE PLS HELLPP

Answers

Answer:

TBH I don't really know either, but 63, 360?

Step-by-step explanation:

If they give you a number in feet, and they want inches time the number by 12? (12 inches in a foot)...sorry idrk...

Answer and Step-by-step explanation:

We are told that there are 5,280 feet in 1 mile.

We also know that 1 foot equals 12 inches.

So, to know how many inches are in One mile, we must multiply 5280 by 12.

     1    

  5280

×      12

______

 10560

+52800

_______

63360

So, the amount of inches that are in 1 mile is 63,360.

#teamtrees #PAW (Plant And Water)

Help me please!!!!!!!

Answers

Answer:

48%

Step-by-step explanation:

25 total students, 12 got either 0-4 or 5-9, 12/25 as a percent is 48 percent. Hope this helped! Good luck!

The answer to the problem is 48

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.

The employees from maintenance go for coffee together every day at 9 a.m. On Monday, Hector paid $4.60 for three cartons of milk, three cups of coffee, and seven
doughnuts. On Tuesday, Guillermo paid $8.30 for four milks, nine coffees, and eight doughnuts. On Wednesday, Anna paid $4.90 for two milks, five coffees, and six
doughnuts. On Thursday, Alphonse had to pay for five milks, two coffees, and eight doughnuts. How much change did he get back from his $10 bill?

Answers

Answer:

The change will be $4.75

Step-by-step explanation:

Given data:

Monday

Total paid = 5.45

milk bought =3

coffee bought = 4

doughnuhts = 7

Tuesday

Total paid = 5.30

milk bought =4

coffee bought = 2

doughnuhts = 8

Wednesday

Total paid = 5.15

milk bought =2

coffee bought = 5

doughnuhts = 6

Thursday

Total paid = X

milk bought =5

coffee bought = 2

doughnuhts = 9

Let milk be m, Let coffee be c and Let doughnuts be d

3m + 4c + 7d = 5.45 (eqaution 1)

4m + 2c + 8d = 5.30 (equation 2)

2m + 5c + 6d = 5.15 (equation 3)

Using equation 1 and equation 2 ( to eliminate m)

3m + 4c + 7d = 5.45 (Multiply the whole equation by 4)

4m + 2c + 8d = 5.30 (Multiply the whole equation by 3)

12m + 16c +28d = 21.8

12m + 6c +24d = 15.9   (Subtracting the two equations)

0m +10c + 4d = 5.9

therefore 10c +4d = 5.9 (equation 4)

Using equation 2 and equation 3 (to eliminate m)

4m + 2c + 8d = 5.30 (Multiply the whole equation by 2)

2m + 5c + 6d = 5.15 (Multiply the whole equation by 4)

8m + 4c + 16d = 10.6

8m +20c +24d = 20.6  (Subtracting the two equations)

0m -16c -8d = -10

-16c -8d = -10 (equation 5)

Solving equation 4 and equation 5( to eliminate d)

10c +4d = 5.9 (Multiply whole equation by 8)

-16c -8d = -10 (Multiply whole equation by 4)

80c + 32d = 47.2

-64c  -32d = -40 (Adding the equations)

16c              =7.2

therefore c = 0.45

Substituting into equation 4

10(0.45) + 4d = 5.9

4.5 + 4d = 5.9

4d = 5.9-4.5

4d = 1.4

therefore d = 0.35

Substituting c and d into equation 1

3m + 4c + 7d = 5.45

3m + 4(0.45) + 7(0.35) = 5.45

3m + 1.8 + 2.45 = 5.45

3m = 5.45-2.45-1.8

3m = 1.2 therefore m = 0.4

Alphonse has to pay 3m + 2c + 9d

Alphonse change will be 10 - (3m + 2c + 9d) (Substituting m, c and d)

10- (3(0.4) + 2(0.45) + 9(0.35) = 10 -(1.2+0.9+3.15)

which simplifies to 10- 5.25=4.75

The change will be $4.75

Please find the area of the compound figures. PLEASE AND THANKS :D

Answers

Answer:

1200

Step-by-step explanation:

helppppp it timeddddd quickkkkkkk i give brainlyist toooo

Answers

Answer:

Hello, I believe the answer would be PK since both XS and PK are the same height.

Step-by-step explanation:

I hope this helped you!

Answer:

option A

PK corresponds to XS

an item is regularly priced at 29. Joe bought it at a discount of 45% off the regular price.​

Answers

Answer:

$13.05

Step-by-step explanation:

The prize will be $13.05 after the discount.

29x45%=13.05

        OR

29x0.45=13.05

ANSWER THE QUESTION FOR BRAINLIEST

Answers

The graph is decreasing at one rate and then decreasing at another rate (B)

Find the next two numbers in the following sequence. List the very next missing
number in Blank 1, and then list the second missing number in Blank 2.
1,4, 16, 64, _, _

Answers

Answer:

256,781

Step-by-step explanation:

Hence, the missing number in the sequence is [tex]1,4, 16, 64, 256,1024[/tex].

What is the sequence?

A sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.

Here given sequence is

[tex]1,4, 16, 64, -,-,[/tex]

So,

[tex]1\\1(4)=4\\16(4)=64\\64(4)=256\\256(4)=1024[/tex]

Hence, the missing number in the sequence is [tex]1,4, 16, 64, 256,1024[/tex].

To know more about the sequence

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What is the value of g(0)
a. 1
b. 0
c. 8
d. 4

Answers

Answer:

c. 8

Step-by-step explanation:

1)  [tex]g(x)=8(\frac{1}{2} )^{x}[/tex]

2)  [tex]g(0)=8(\frac{1}{2} )^{0}[/tex]

3)  [tex]g(0)=8*1[/tex]

4)  [tex]g(0)=8[/tex]

Select the correct answer from each drop-down menu.
The state swim meet has 27 swimmers competing for first through fourth place in the 100-meter butterfly race.

Complete the statement describing this situation.

This is an example of a ..... There are ....... possible arrangements of first through fourth place winners.

First blank
combination
Permutation

second blank
17550
108
421,200
9,687,600

Answers

Answer:

first blank is "Permutation", i dont know what the second blank is but its not 17550

Step-by-step explanation:

This is an example of a permutation. There are 421,200 possible arrangements of first through fourth place winners.

What is permutation?

"A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order."

We need to arrange 27 swimmers for 4 positions

Hence, the numbers are 27P4

= [tex]\frac{27!}{(27-4)!}[/tex]

[tex]=\frac{27.26.25.24.23!}{23!}[/tex]

[tex]=421,200[/tex]

Hence, the given situation is an example of permutation with 421,200 possible arrangements.

To learn more about permutation here

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What is the solution to 9 x 9?

Answers

Answer:

81

Step-by-step explanation:

dude, it's one of the fast facts

Answer:

81

Step-by-step explanation:

We can round one of the 9's to ten then multiply it

9*10=90

then subtract the 9 that we added

90-9=81

help please. need it asap

Answers

Answer:

x = 180 - 50 - 86 = 44°

PLEASE HELP !!! ONLY AN HOUR LEFT

Answers

Answer: arc ef is 68

Step-by-step explanation:

Since EF and FG are the same length (given)

and DE and DG are the same length (both are radius of the circle)

and DF is a shared side, the 2 inscribed triangles are congruent, making angle EDF also 68

The measure of an arc is the same as the measure of the angle across from it

That question is a bit tricky but I think you that is a hard question

A 12-pound bag weighs more than a 200-ounce bag. True or false

Answers

Answer:

false

Step-by-step explanation:

200oz= 12.5 pounds

Answer:

false

Step-by-step explanation:

12 pound=192 ounces

what three terms in geometry are undefined terms

Answers

Answer:

In Geometry, we have several undefined terms: point, line and plane. From these three undefined terms, all other terms in Geometry can be defined.

Step-by-step explanation:

hope i helped plz mark me brainlest;(

Answer:

point, line and plane.

Step-by-step explanation:

all other terms in Geometry can be defined.

If it took 8 hours to mow 5 lawns, then at that rate, how many lawns could be
mowed in 32 hours?
20 lawns
51 lawns
24 lawns
16 lawns

Answers

I’m not completely sure, but if you do 8 divided by 5 and multiply that by 32, you get 51.2, which means you would complete 51 lawns and a little of another. I hope this helps.

The wholesale price of an X-BOX-X is $400.00 .It was then marked up 30% and sold online. What is the online price?

Answers

Answer:

$520

Step-by-step explanation:

1% of x is x times 0.01.

that means 10%of x is x times 0.1.

400 times 0.1 is 40.

40 is 10% of 400.

it was marked up by 30% so we need to times by 3.

40 times 3 is 120.

it was marked up so its addition.

400+120=520

3(x-5) = 2(x-5)+x true or false?

Answers

Answer:

FALSE

Step-by-step explanation:

In order to solve this equation,

First, we must write it out

3(x - 5) = 2(x - 5) + x

Then, we must use the Distributive Property

3x - 15 = 2x - 10 + x

Next, we must Combine Like Terms

3x - 15 = 3x - 10

Finally, we can Subtract The Coefficients

-15 = -10

Because -15 does not equal to -10, this equation has no solution

IT IS FALSE

if you have more questions, comment me below or add another question

1. What is the volume of the triangular prism below? h = 6.7 m 2 VBA 12.4 m 8 m​

Answers

Answer:Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.

FOR 58 POINTS!!!
Angle H is half as large as angle J. Angle J is one fourth as large as angle K. Angle K has a measure of 240 degrees. What is the measure of angle H?

Answers

Answer:

30

Step-by-step explanation:

Find tan 0.
(Marking brainliest if correct)

8/17
15/17
15/8
8/15

Answers

Answer:

15/8

Step-by-step explanation:

Assuming you mean tan theta

Tan(theta) = opposite/adjacent

We know the adjacent side is 8 so the bottom of the fraction must also be 8

C: 15/8 is the only option that fits this criteria

The value of tangent of the angle θ, i.e., tan θ = 15/8.

Hence the correct option is c.

Given is a right triangle, with base = 8 units and the hypotenuse is 17 units,

The angle θ which is between the base and the hypotenuse,

We need to find the value of tangent of the angle θ, i.e., tan θ.

To find the value of tangent (tan) of the angle θ, we can use the definition of tangent in a right triangle.

The tangent of an angle in a right triangle is equal to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

In this case, the base of the triangle is given as 8 units, and the hypotenuse is given as 17 units.

To find the length of the side opposite θ, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we can calculate the length of the side opposite θ:

(side opposite θ)² + (base)² = (hypotenuse)²

(side opposite θ)² + 8² = 17²

(side opposite θ)² + 64 = 289

(side opposite θ)² = 289 - 64

(side opposite θ)² = 225

side opposite θ = √225

side opposite θ = 15 units

Now that we have the lengths of the side opposite θ and the side adjacent to θ, we can calculate the tangent of the angle θ:

tan θ = (side opposite θ) / (base)

tan θ = 15 / 8

Therefore, the value of tangent (tan) of the angle θ is 15/8.

Learn more about trigonometric function click;

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What is the area of the trapezoid below?

Answers

Answer:

Area 684 m squared

Step-by-step explanation:

26 + 46 = 72

72/2 = 36

36 x 19 = 684

Hope this helps!

I need this please help me

Answers

Step-by-step explanation:

a. Josh Studies more after earnings Low Test score is

when Y = in 15 Score Josh Time to Studies are 0 Hours

b. There is no association Between hours studied & Test Score = Nope ...After Josh GOT much Time to Studies He Can Make 98 Scores with 7 Hours Time Studies and average data can show is josh average time in studies comparing to Hours his make much scores

c. There is Positive Association Between hours & Test Score Yes

d. Nope

what is the surface area of the cylinder with the height of 6ft and the radius of 6ft. round your answer to the nearest thousandth.

please NO LINKS!!!

Answers

2.7 is the answer you should get help

What is the area of the rectangle 3cm for width and 8cm for length

Answers

Answer:

3cm for width and 8cm for length the area for the rectangle is 24cm

What is the volume of a hemisphere with a radius of 3.1 in, rounded to the nearest tenth of a cubic inch?

Pls help me

Answers

Answer:

Formula: V = (2/3) π r 3.

Radius is 3cm.

So, now we can plug it in to solve for the volume.

V = (2/3) π 3^3

First, let's multiply 3^3.

3^3 = 27

Then, 27 x π = 84.82

After, multiply by 2/3.

84.82 x 2/3 = 56.55

Lastly, round 56.55 to the nearest tenth of a cubic centimeter.

56.55 = 56.6

Therefore the volume of a hemisphere with a radius of 3cm is 56.6cm^3.

Step-by-step explanation:

hoped this helped

The answe is 56.6 cm ^3

Math escape room level 3 clock help my answers aren’t working. Image included

Answers

Answer:

x = 6

Step-by-step explanation:

I'm not sure if it's correct

X=6 yea I think that the answer too

solve by regrouping 2x2+6x+54+18x

Answers

Answer:

I believe the answer is=2x2+342.

An architect is allowed 56 square yards of floor space to add a small bedroom to a house. because of the rooms design in relation to the existing structure, the lenght of the rectangular floor must be 6 yards less than 2 Times the width.Find the lenght and width of the rectangular floor that the architect is permitted

Answers

there would be 5 rooms because
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