Find the volume of a pyramid with a square base, where the perimeter of the base is 10.7\text{ ft}10.7 ft and the height of the pyramid is 9.8\text{ ft}9.8 ft.

Answers

Answer 1

The volume of the pyramid is 23.375 ft^3.

We have,

Volume = (1/3) * Base Area * Height

In this case, the base of the pyramid is a square, and the perimeter of the base is given as 10.7 ft.

The perimeter of a square is equal to 4 times the length of one side.

Let's denote the length of one side of the square base as s.

And,

4s = 10.7

Solving for s:

s = 10.7 / 4 = 2.675 ft

Base Area = s^2

Plugging in the value of s:

Base Area = (2.675 ft)^2 = 7.156 ft^2

Now,

Volume = (1/3) * Base Area * Height

Volume = (1/3) * 7.156 ft^2 * 9.8 ft

Volume = 23.375ft^3 (rounded to six decimal places)

Therefore,

The volume of the pyramid is 23.375 ft^3.

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Related Questions

2. The sum of the measures of two angles is 180°. The difference between the
angle measures is 70°. What is the measure of the smaller angle? *

Answers

Wouldn’t it be 110???

Can I get sum more help?

Answers

Answer:

184.96

Step-by-step explanation:

V = (base × height) ÷ 3

base = pi × radius^2

2 × pi × radius = circumference

2×pi×r = 29.516

÷2 ÷2

pi×r = 14.758

÷3.14 ÷3.14

r=4.7

base= 3.14 × 4.7^2

= 69.36

V = (69.36 × 8) ÷ 3 = 184.96

AreA of a circle pls help​

Answers

Answer:

28.26[tex]in^{2}[/tex]

Step-by-step explanation:

Given,

Radius of the circle = 3in.

Area = ?

They have told us to use 3.14 for [tex]\pi[/tex]

Area formula = [tex]\pi r^{2}[/tex]

=> 3.14 * 3 * 3

=> 3.14 * 9

=> 28.26[tex]in^{2}[/tex]

Therefore the area of the circle is  28.26[tex]in^{2}[/tex]

Hope it helps :)

Answer:

28.26

Step-by-step explanation:

You want to plug everything in to the equation that you can. It says that pi=3.14, and the radius (aka r) is equal to 3. Therefore when plugging everything in, the equation reads (3.14)(3)^. ^ means squared, its the tiny 2 above the r. when something is squared it means you multiply it by itself 2 times. therefore 3 squared = 3 x 3= 9. After finding out 3^=9, the equation reads (3.14)(9). Now all you have to do is multiply the 2 together which results in 28.26.

omg bet you don't know this

Answers

Answer:

2 and 5

Step-by-step explanation:

ez

What is the volume of this cube?
Show your work.
no bots

Answers

Answer: 125,000

Step-by-step explanation:

Voulme= LxWxH

             = 50x 50x50

              =125,000

The solution to a problem is an irrational number. Which statement is true about the solution?

Answers

Group of answer choices.

A. It can be expressed as a non repeating, non terminating decimal.

B. It can be a perfect square

C. It cannot be pie π

D. It is not possible to have a irrational number solution.​

Answer:

A. It can be expressed as a non repeating, non terminating decimal.

Step-by-step explanation:

An irrational number can be defined as real numbers that cannot be expressed as a simple fraction or ratio of two integers.

Additionally, it is the opposite of a rational number and as such its decimal is continuous without having any repetition or termination. For example, pie (π) = 3.14159 is an example of an irrational number.

Assuming the solution to a mathematical problem is an irrational number. The statement which is true about the solution is that it can be expressed as a non-repeating, and non-terminating decimal.

13.
Find the volume of the trapezoidal prism below. Hint: The formula for the area of a
trapezoid is A 2 (b, I b)h.
6 cm
5 cm
12 cm
7.5 cm
А
450 cm
B
900 cm
С
270 cm

Answers

Answer:

A is the correct answer 450 cm

Step-by-step explanation:

area of base = 1/2 (7.5+ 5) × 6 = 37.5

volume = area × height

= 37.5 × 12

= 450cm³

yup I agree with the person above

Can someone answer this?

Answers

Answer:

3 is the answer

Step-by-step explanation:

because x is also equals to -4. if u can see there is big circle that is blue, if that circle was empty that means does not equal, and the xs are bigger than -4 therfore the answer is option 3.

Answer:

Greater than or equal to -4

Step-by-step explanation:

Hope this helps

Can someone help me ASAP!!

Answers

It’s the light blue one!!!

9514 1404 393

Answer:

  (a)  No, because it will not go through the origin

Step-by-step explanation:

The equation is that of a straight line, but its y-intercept is 2, not 0. Because the y-intercept is not zero, the line does not go through the origin, and the relationship is not proportional.

Um who else is in love with Kenma Kozume?

Answers

Answer:

YESSSSS I AM APART OF THE KENMA CULT

Step-by-step explanation:

(add. write your answer as a fraction, as a whole or as a mixed number)
PLEASE HELP . WILL GIVE BRAINLIEST !

Answers

Answer:

the answer is 101/9, in fraction it would be 11.2222..... in whole number would be 11, as mixed number would be 11 2/9

GIVING BRAINLIEST, EASY 7TH GRADE MATH PROBLEM.

Answers

Answer:

it would be 13.25 or A.

Step-by-step explanation:

:)

PLEASE ANSWER, RIGHT ANSWER WILL BE MARKED BRAINLIEST
NO ANSWERING NONCENSE JUST FOR POINTS I WILL REPORT
twenty-five seventh grade students each conducted a survey an a random sample of 20 students from the school and asked each student if they own a pet or not. then, the students calculated the percentage of students who own a pet from each sample. The dot plot below shows the distribution of the percentages of the samples.

Answers

Answer:

Between 20% and 80%,,,

Step-by-step explanation:

There is no way to really explain it.

Urgent!!
According to the graph, what is the factorization of x2 - 5x + 6?
y=x2.5x+6
A. (x - 3)(x + 2)
B. (x+3)(x - 2)
C. (x - 3)(x - 2)
D. (x+3)(x + 2)

Answers

Answer:

If you still need the answer it’s c

Step-by-step explanation: The zeros of the graph are 2 and 3 , which is where the graph crosses the x axis,

The factorization is the form

(x-a) (x-b) where a and b are the zeros

(x-3) (x-2)

There are 8 roses in a vase of 14 flowers. The rest are daisies.

(a) What is the ratio of roses to daisies?

(b) What is the ratio of all flowers in the vase to daisies?

Answers

Answer:

a) 4:3

b) 7:3

Step-by-step explanation:

No. of roses= 8

No. of daisies = 6

Total no. of flowers = 14

a) Ratio of roses to daisies = No. of roses/No. of daisies

8/6

= 4/3

= 4:3

b) Ratio of all flowers to daisies = No. of all flowers/ No. of daisies

14/6

= 7/3

= 7:3

A 35-year-old woman has 3 children. If you multiply the 3
children's ages, you get 36. If you add up the 3 children's ages, it's 13. Her oldest child played basketball for 3 years. How old are her 3 kids?

Answers

Answer:

Her oldest was 9, and the other 2 were 2

IF YOU ANSWER RIGHT ILL GIVE YOU BRAINLTIST

Answers

Answer:

B: 12/25

Step-by-step explanation:

You have the correct answer marked. This is correct because the probability of grabbing a purple marble is 24/50 which if we divide by 2 to simplify is 12/25.

PLEASE HELP
∆ARE ≌ ∆_ by _

Answers

Answer:

We have:

AE ≅ ACRE ≅ RCAR ≅ AR

The conclusion is:

ΔARE ≅ ARC by Side-side-side (SSS) postulate

The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8 feet.

Approximately what percentage of the pine trees in this forest are taller than 100 feet?

Answers

Answer:

4%

Step-by-step explanation:

We solve this question using z score formula

z = (x-μ)/σ,

where

x is the raw score = 100 feet

μ is the population mean = 86 feet

σ is the population standard deviation = 8 feet

Hence,

x > 100 feet

z = (100 - 86)/8

z = 1.75

Probability value from Z-Table:

P(x<100) = 0.95994

P(x>100) = 1 - P(x<100) = 0.040059

Converting to Percentage

= 0.040059 × 100

= 4.0059%

Approximately = 4%

Therefore, the percentage of the pine trees in this forest are taller than 100 feet is 4%

1. A rubber ball consists of a sphere with 150 small cones protruding from the surface. The volume of the sphere is 50 cubic centimeters. Each cone has a radius of 0.2 centimeters and a height of 0.4 centimeters. What is the total volume of the ball? Round to the nearest hundredth.
A. 60.05 cm3
B. 2.51 cm3
C. 52.51 cm3
D. 50.02 cm3

2. A baker fills a piping bag with frosting to decorate a cake. The bag has the shape of a cone, and the frosting fills the bag to a height of 12 inches and diameter of 5 inches. Approximately what volume of frosting in cubic inches does the piping bag contain? Round to the nearest tenth.
A. 117.8 in3
B. 314.2 in3
C. 78.5 in3
D. 235.6 in3

3. A ski resort creates a three-dimensional model of its logo consisting of two cones. One of the cones has a radius of 6 feet and a height of 12 feet, and the other has a radius of 5 feet and is 23 the height of the first. What is the volume of the model? Round to the nearest hundredth.
A. 661.83 ft3
B. 496.37 ft3
C. 766.55 ft3
D. 1,985.49 ft3

Answers

Can we see a picture before the picture help us more

Answer:

1. C. 52.51 cm3

2. C. 78.5 in3

3. A. 661.83 ft3

Step-by-step explanation:

just finished the quick check

Find x. Simplify completely. X Х 16 4. x = [?]​

Answers

Answer:

4

Step-by-step explanation:

eeeeeeee

Please help me it would mean the world. Extra points!
The answer is 102m^2 provided by my teacher I just need the work.

Answers

Answer:

[tex] \displaystyle A_{ \text{triangle}} = 102 {m}^{2} [/tex]

Step-by-step explanation:

remember that,

[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} bh[/tex]

given that,b is 17 m and h is 12m

thus substitute:

[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} \times 17\times 12[/tex]

reduce fraction:

[tex] \displaystyle A_{ \text{triangle}} = 17\times 6[/tex]

simplify multiplication:

[tex] \displaystyle A_{ \text{triangle}} = 102 {m}^{2} [/tex]

Margie, Eric, and Connor helped their band stuff envelopes for a fundraiser. Margie has stuffed 96 out of 144 envelopes. Eric has stuffed 62% of his envelopes. Connor has stuffed ¾ of his envelopes. If each student started with the same amount, who has the most envelopes left to stuff?

A. Margie
B. Eric
C. Connor

Answers

Its conner he stuffed the most helped 3/4 percent of the thing
The answer is a. Connor

Kirk went to a friend's house after dinner. He left his house at the time shown on the clock and returned home at 8:05 P.M. Part A How long was Kirk gone? ____ minutes Part B Explain how you found your answer.

Answers

Answer:

He was gone for 36 minutes

Step-by-step explanation:

Sorry if wrong

I really need help on this one, thank you

Answers

Answer:

35

Step-by-step explanation:

find area of each rectangle then add

35
Find the area of each side then add

I WILL CROWN YOU BRAINLYIST HELP
A truck delivers 14,000 pounds of gravel.

How many tons are in 14,000 pounds?

Answers

Answer:

7000

Step-by-step explanation:

Thus the truck delivers 7 tons of gravel.

What is a unit conversion?

"A unit conversion expresses the same property as a different unit of measurement. A conversion factor is a ratio that expresses how many of one unit is equal to another unit".

For the above situation,

A truck delivers 14,000 pounds of gravel.

We know that,

1 US ton = 2000 pounds

Thus, 14000 pounds = [tex]\frac{14000}{2000}[/tex]

⇒ [tex]7 tons[/tex]

Hence we can conclude that the truck delivers 7 tons of gravel.

Learn more about unit conversions here

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Angle ABC and angle CBD or a complementary what is the value of X

Answers

Answer:

26degrees

Step-by-step explanation:

Find the diagram attached

From the diagram, Angle ABC and angle CBD are complementary hence;

<ABC + <CBD = 90

Given

<ABC = 2x

<CBD = 38

Substitute

2x + 38 = 90

2x = 90 - 38

2x = 52

x = 52/2

x = 26degrees

Hence the value of x is 26degrees

Marks mailbox has three more edges than vertices. What type of prism is Marks mailbox.​

Answers

Answer:

njuvcjgxyrsdfygjhkl

Step-by-step explanation:

The amount of time a certain brand of light bulb lasts is normally distributed with a
mean of 1600 hours and a standard deviation of 70 hours. Using the empirical rule,
determine what interval of hours represents the lifespan of the middle 99.7% of light
bulbs.
help fast please!!

Answers

Using the Empirical Rule, it is found that the interval of hours that represents the lifespan of the middle 99.7% of light bulbs is (1390, 1810).

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The middle 99.7% is within 3 standard deviations of the mean, hence:

1600 - 3 x 70 = 1390.1600 + 3 x 70 = 1810.

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Solve the inequality.
y + 11 <-3
The inequality is____
Pls help:/

Answers

Answer:

-14

Step-by-step explanation:

step 1:

Subtract 11 from both sides.

y+11−11<−3−11

y<−14

Answer:

y is less than -14

Step-by-step explanation:

You move all the terms to the side not containing the y. So it would be -3-11 on one side and y on the other. The sign does not change so the inequality would be y is less than -14.

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