Find the volume of a pyramid with a square base, where the area of the base is
13.2 cm2 and the height of the pyramid is 13.7 cm. Round your answer to the
nearest tenth of a cubic centimeter.

Answers

Answer 1

Answer:

[tex]V=60.28\ cm^3[/tex]

Step-by-step explanation:

Given that,

The area of the base = 13.2 cm²

The height of the pyramid = 13.7 cm

We need to find the volume of this pyramid. The formula can be given by :

[tex]V=\dfrac{1}{3}Bh[/tex]

Put all the values,

[tex]V=\dfrac{1}{3}\times 13.2\times 13.7\\\\V=60.28\ cm^3[/tex]

So, the volume of the pyramid is equal to [tex]60.28\ cm^3[/tex].


Related Questions

For the following right triangle, find the side length x. Round your answer to the nearest hundredth
12
9

Answers

Answer:

7.94

Step-by-step explanation:

[tex]a^{2} + 9^{2} =12^{2} \\a^{2} +81 = 144\\a^{2} = 63\\a = \sqrt{63} \\a= 7.93725[/tex]

During a certain epidemic, the number of people that are
infected at any time increases at a rate proportional to the
number of people that are infected at that time. If 1,000 people
are infected when the epidemic is first discovered, and 1,200
are infected 7 days later, how many people are infected 12 days
after the epidemic is first discovered?

Answers

9514 1404 393

Answer:

  1367 people

Step-by-step explanation:

The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...

  i(t) = 1000(1.2^(t/7))

After 12 days, the number infected is modeled as ...

  i(12) = 1000(1.2^(12/7)) ≈ 1367

About 1367 people are infected 12 days after discovery.

15. Which graph shows - 3x + y = 8

first question

Answers

Answer:

Im sorry but i can't read it

Step-by-step explanation:

Rick wants to buy a tool set with original price $115. Next week the tool set will be on sale for 40% off. Find the sale price.
$

Answers

Answer:

$69

Step-by-step explanation:

$115 x 0.4 = $46 discount

$115 - 46 = $69

Answer:

$69

Step-by-step explanation:

115/100=1.15

1.15(40)=46

115-46=69

Hope this helps

4. Samara's monthly taxable income was $3276.54. If she paid $757.24 in taxes, what
percentage of her taxable income did she pay?

Answers

Answer:

23.1%

Step-by-step explanation:

Given data

monthly taxable income was $3276.54

Tax= $757.24

Percentage of tax paid= tax paid/monthly income* 100

Percentage of tax paid=757.24/3276.54* 100

Percentage of tax paid=0.231* 100

Percentage of tax paid=23.1%

ANSWER AND STEPS PLEASE

A container that holds wheat is shaped like a cone. The diameter of the base of the container is 21 and 3/4 feet, and the height of the container is 10.3 feet.

Which measurement is closest to the volume of the container in cubic feet?

Answer choices:

A. 15,307.55 ft3

B. 1,275.63 ft3

C. 5,102.52 ft3

D. 3,826.89 ft3

Answers

Answer:

answer is b.

Step-by-step explanation: use formula

V=1/3(hπr²)

so using this formula gives us 1275.62897 but rounded off gives us 1,275.63 ft3

the answer to your question is going to be letter b

please help anyone PLSSSSS with my questions anyone can help me and plsss no links and pls with whole procedure pls

Answers

Answer:

In my sketch the angle between their flights is 135°

So wouldn't we just have the cosine law??

x^2 = 120^2 + 150^2 - 2(120)(150)cos135°

carry on, take care with the cos135, since it will be negative

A pet rescue center takes in animals from a local shelter. Half of the animals that they take in are cats.
Let a = the total number of animals.
Let c = the number of cats.
Complete the table to show the number of cats, c, that are taken in by the pet rescue when a animals are taken in.


Answers

Answer:

1st answer =10

2nd answer=4

3rd answer=12

4th answer=8


Find the area of the figure shown below and choose the appropriate results



A 60 cm
B 66 cm
C 72 cm
D 96 cm

Answers

Answer:

sorry if im rong but im prety sure its d

Step-by-step explanation:

Answer:

Step-by-step explanation:

d

Please i need help for all of them!!​

Answers

Answer:

1) x=65

2) x= 70

3) x= 40

4) x= 131

5) x= 75

6) x= 49

7) x= -12

8) x= 42

Simplify the expression
4p−5(p+6)

Please help, thank you :)

Answers

Answer:

-p - 30

Step-by-step explanation:

Hope this helps

Answer:

-p-30

Step-by-step explanation:

4p-5(p+6) Distribute -4 to p and 6

4p-5p-30 simplify by adding the p variables

-p-30

Plz help me ASAP no bots plz

Answers

Answer:

...

Step-by-step explanation:

the vertex is (-1 , 0)

false

true

the domain is R (all real numbers) ( -♾, +♾ )

the range is negative infinity -♾

When using an equivalent fraction to find a percent, why do you write 100 as the denominator ?

Answers

You write 100 as the denominator because 100 represents a whole whereas the numerator normally represents a percentage. Hope this helps!

The average length of a flight by regional airlines in the United States has been reported as 464 miles. If a simple random sample of 30 flights by regional airlines were to have a mean of 476.9 miles and a standard deviation of 42.8 miles, what would be the test statistics (t-value) if we are to test whether this tend to cast doubt on the reported average of 464 miles or not

Answers

Answer:

The t-value is t = 1.65.

Step-by-step explanation:

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

The average length of a flight by regional airlines in the United States has been reported as 464 miles.

This means that the null hypothesis is [tex]H_{0}: \mu = 464[/tex].

Simple random sample of 30 flights by regional airlines were to have a mean of 476.9 miles and a standard deviation of 42.8 miles

This means that [tex]n = 30, X = 476.9, s = 42.8[/tex]. So

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{476.9 - 464}{\frac{42.8}{\sqrt{30}}}[/tex]

[tex]t = 1.65[/tex]

The t-value is t = 1.65.

The local grocery store is having a sale on watermelons. Mr. Jackson purchases 10 watermelons for a school picnic. He pays $39.90 for the watermelons. What is the price of each watermelon?​

Answers

Answer:

$3.99 per watermelon

Step-by-step explanation:

$39.90 total paid divided by 10 watermelons is $3.99

What is 0.73 as a percent?

Answers

Answer:

73%

Step-by-step explanation:

Answer:

73 percent

Step-by-step explanation:

Its because 1.00 would be 100 percent and .50 would be 50 percent so .73 would be 73 percent

CAN SOMEONE PLEASE HELP ME?
The three sides of a triangle are n, 3n+2, and 2n+10. If the perimeter of the triangle is 48m, what is the length of each side?

Answers

I believe to the my mathematical formula that the answer should be 6.3 due to the fact that 48/2 is 24

Answer:

the sides are 6, 20, and 22

Step-by-step explanation:

n + 3n + 2 + 2n + 10 = 48

combine like terms:

6n + 12 = 48

subtract 12 from each side of th equation:

6n = 36

divide both sides by 6:

n = 6

the sides are 6, 20, and 22

hasann please help me

Answers

Don’t believe the link^

Answer:

The length and width and height is already given.

Length is: 3 1/2

Width is: 1 1/2

Height is: 2 1/2

The volume of this would be all given lengths multiplied.

Whenever you find an area of a 3 dimensional shape you always multiply the given lengths so: 3 1/2 x 1 1/2 x 2 1/2 = 13 1/8 cm3

Colin slices a cake into 8 equal-sized slices. He and his friends eat 5 slices of the cake.

What fractional part of the cake do Colin and his friends eat?

Answers

Answer:

5/8

Step-by-step explanation:

there are 8 slices.

if he and his friends eat 5 pieces, they ate 5 out of 8 pieces.

in maths, we write 5 out of 8 like 5/8

hope this helped, any questions - just ask

good luck,

-cheesetoasty

i need help now, The rectangle and the trapezoid have the same area. What is the length l of the rectangle?

Answers

Answer:

The I is 12.

Step-by-step explanation:

You dont count the slang when you are finding the area, im not good at explaining but its basically just 12x9. 12x9=x. X is the area- aka 108. Divide 108 by the 9 in the rectangle. IM BAD AT EXPLAINING SORRY

Answer:

36

Step-by-step explanation:

(figure out length of triangle)24-12=12

(find full length of base which is equal to L of rectangle)24+12=36

please help A video game box is shaped like a rectangular prism with the following dimensions Length = 20 in • Width = 8.25 in. • Height = 4.5 in. What is the volume of the box in cubic inches? ​

Answers

Answer:

V= 742.4 in³

Step-by-step explanation:

V= L x W x H = (20)(8.25)(4.5) = 742.4 in³

plz help solve,
velocity units are ft/min

Answers

Answer:

t = 11 min

and

t = 18 min

Step-by-step explanation:

When we have unidimensional motion, the sign of the velocity defines the direction.

So we could say that a positive velocity like:

v = 4ft/min

Means that you are moving to the right with a speed of 4 feet per minute.

And a negative velocity like:

v = -3 ft/min

means that you are moving to the left with a speed of 3 feet per minute.

Then the bug changes direction when the velocity changes of sign.

In the graph, we can see that the velocity changes of sing in two points, these points are:

t = 11 min

and

t = 18 min

someone please help me answer this!!

Answers

Answer:

-5 63/100

Step-by-step explanation:

Which of the following values of f are solutions to the inequality below?
​Select all that apply.

Answers

Answer:

-4 is your answer

Step-by-step explanation:

Solve the quadratic equation by using either a numeric or a graphic approach. x^2-14x-49=0

A. X= -11.1 or x=-12

B. X=12.3 or x=-10.82

C. X=16.9 or x=-2.9

D.X=1 or x=-3

Answers

Answer:

The answer to this question is A

Step-by-step explanation:

I need help with this question what do I but in the blank for the last number

Answers

Answer:

13 cm

Step-by-step explanation:

use pythagorean theorem

Michelle has a bank account balance of $184. She deposits $38 and then spends $45 when she goes shopping.​ How is the amount of money Michelle spent shopping represented?
A. -45
B. -38
C. 38
D. 45

Answers

Answer:

A. -45

Step-by-step explanation:

We know that Michelle has a bank account of one hundred eighty four dollars, she then deposits thirty eight into her account, then goes shopping. Spending forty-five dollars. We are then asked the amount of money she spent being represented.

Our keyword is "spent" and "fourty-five". Why? Because these determine how much money is being taken away or added.

Since we know that spending money is decreasing the amount you have, then we would need a negative sign, and since we also know the amount she spended on is forty-five, that leads us to our answer being A. -45

Answer:

-45

Step-by-step explanation:

She uses $45 when she goes shopping so she is reducing her bank balance.

Resale Value Garland Mills purchased a certain piece of machinery 2 years ago for $500,000. Its present resale value is $420,000. Assuming that the machine's resale value decreases exponentially, what will it be (in dollars) 4 years from now? (Round your answer to the nearest dollar.)

Answers

Answer:

260,000

Step-by-step explanation:

The value decreases by 40,000 per year (500000-42000/2 years) the value will decrease by 240000 in six (4 years plus 2 years already passed) years. 6 x 40,000 =240000

So, the value should be 260,000 (500000-240000)

Or

year 1 500000-40000=460000

year 2 460000-40000=420000

year 3 420000-40000=380000

year 4 380000-40000=340000

year 5 340000-40000=300000

year 6 300000-40000=260000

The machine's resale value Garland Mills purchased in 4 years from now will be; $353,049

What is the future value amount?

We are told that the machines present resale value is $420000. Now formula for future value is;

Future value = present value * exp(cx)

Thus;

$420,000 = $500,000 * exp(2c)

420000/500000 = exp(4c)

2c = In(420000/500000)

c = -0.087

Future value = present value * exp(cx)

Future value = $500,000 * exp(-0.087 * 4)

Future value = $353,049

Therefore, the machine's resale value in 4 years from now will be  $353,049

Read more about future value amount at; https://brainly.com/question/13961729

What is the area of a triangle that has a base of 15 yards and a height of 11 yards?
O 165 yd 2
41.25 yd 2
O 330 yd 2
O 82.5 yd 2
Please asap

Answers

Answer:

The shape is a triangle, not a quadrilateral.

Step-by-step explanation:

A= hbb/2 = 11·15/2 = 82.5

The area of the triangle is 82.5 yd².

Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express.coordinates as fractions, using the slas
mark ( / ) for the fraction bar.
(-4,3) (-4,-3)

Answers

The midpoint would be (-4,0)
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