Find the volume of a pyramid with a square base, where the side length of the base is 10.9 m and the height of the pyramid is 4.7 m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer 1

Answer:

[tex]V=186.1\ m^3[/tex]

Step-by-step explanation:

Volume of a Pyramid

The volume of a pyramid with base area Ab and height H is given by:

[tex]\displaystyle V=\frac{A_b*H}{3}[/tex]

If the base is a square of side length L, then its area is:

[tex]A_b=L^2[/tex]

Thus, substituting the above equation in the first:

[tex]\displaystyle V=\frac{L^2*H}{3}[/tex]

The side length is L=10.9 m and the height is 4.7 m, thus the volume is:

[tex]\displaystyle V=\frac{10.9^2*4.7}{3}[/tex]

[tex]\displaystyle V=\frac{558.407}{3}[/tex]

[tex]\boxed{V=186.1\ m^3}[/tex]

Answer 2

Answer:186.1

Step-by-step explanation:


Related Questions

Jan doubled her starting number, added 5, subtract 7, divided by 3, then squared the result. If her final answer was 36, what was her starting number?

(Answer due at 12:00 pm PDT)

Answers

Answer: I think its 39

Step-by-step explanation: I did the math

Jan's starting number was 10.

What are Numbers?

A number is an arithmetic value used for representing the quantity and used in making calculations.

Given that Jan doubled her starting number, added 5, subtract 7, divided by 3, then squared the result.

Let her original number be x

Therefore, {(2x +5 - 7)/3}² = 36

{(2x -2)/3}² = 36

(2x -2)/3 = 6

2x - 2 = 18

2x = 20

x = 10

Hence, Jan's starting number was 10.

For more reference on Numbers, click;

https://brainly.com/question/17429689

#SPJ2

Please help if you know.

Answers

Answer:- 617/100+i root 2

Step-by-step explanation: simplify

Andres works at a job that pays him 12.50 an hour.Andres works 30 hours a week.How much does he make each month after 30% of california state income tax is taken out?

Answers

Answer:

he makes $112.50

Step-by-step explanation:

first you have to find out how much he makes before tax is taken out. all you do is multiply 12.50 by 30, which gives you $375.00. then, you can either put in the calculator 30%375 or 0.3×375(both are the same thing) and you should get $112.50

Read the following question

Answers

Answer:

G. Water skiing > Cycling

Step-by-step explanation:

You burn more calories in water skiing

Help help help help

Answers

Answer:

(3, -9)

Step-by-step explanation:

5x + y = 7

-x - 2y = - 15

What we can do is multiply the second equation by 5, as we try to combine both equations to get rid of x.

5x + y = 6

-5x - 10y = 75

-9y = 81

y = -9

Now we plug y back in.

5x - 9 = 6

5x = 15

x = 3

Photo math said the answer was 2x but I’m not sure

Answers

yes it is. the parentheses is raised 0 so yeah

742,617 to the nearest ten tousand

Answers

Answer:

740,000

Step-by-step explanation:

The ten-thousands digit is the 4.

Change all digits to the right of the 4 to 0.

742,617 becomes 740,000.

Since the first digit to the right of the 4 is 2, and not a digit from 5 through 9, we keep the 4 and do not change it to 5.

Answer: 740,000

Answer:

the answer is 740000

Step-by-step explanation:

because I have big brain

Evaluate the exponential function f(x) = (1/2)x

Х 4, -1 ,0 ,1 ,3
f(x) 16, ?, 1, 1/2, 1/8

Which value completes this table?
A. 12
B. 8
C. 4
D. 2

Answers

Answer:

2

Step-by-step explanation:

You should substitute x = -1 to the f(x) and you will find:

[tex]f(-1)=\left(\frac{1}{2}\right)^{-1}=\frac{1}{2^{-1}}=2[/tex]

So, the answer for the ? is 2.

The following histogram shows the number of minutes that 29 students took to complete an exam. Based on this histogram, about 10% of students took less than _____ minutes to complete the exam. ​

Answers

According to the histogram, it is found that about 10% of the students took less than 40 minutes to complete the exam.

What is an histogram?

An histogram is a graph that shows the number of times each element of x was observed.

In this problem, out of a total of 29 students, the histogram states that:

1 student finished the exam in less than 10 minutes.2 students finished the exam in between 30 and 40 minutes.

...

12 students took between 70 and 80 minutes to finish the exam.

10% of 29 is given by:

0.1 x 29 = 2.9.

About 10% of 29 is of 3, hence, since 1 + 2 = 3, about 10% of the students took less than 40 minutes to complete the exam.

More can be learned about histograms at https://brainly.com/question/25836450

(x+2) (x+1)=0
kindly help me with this question
I found the following answer x=0 and x=-1

Answers

Answer:

[tex]x=\begin{bmatrix}-2\\-1\\\end{bmatrix}[/tex]

Step-by-step explanation:

(x+2) (x+1)=0

Isolate the X

=> [tex]\left(x+2\right)\left(x+1\right)=0[/tex]

Divide both sides by the coefficient:

=>[tex]x=\begin{bmatrix}-2\\-1\\\end{bmatrix}[/tex]

20. Favorite Cookie Ten percent of adults say oatmeal raisin is their favorite
cookie. You randomly select 12 adults and ask them to name their favorite
cookie. Find the probability that the number who say oatmeal raisin is their
favorite cookie is (a) exactly four, (b) at least four, and (c) less than four.
(Source: WEAREVER)

Answers

Answer:

Step-by-step explanation:

A

exactly 4

There are 12 adults.

4 like oatmeal cookies the best.

P(exactly 4) = 4/12 = 1/3 = 0.3333...

B)

At least 4

4 5 6 7 8 9 10 11 12

So there are 9 choices (4 .. 12) of those who could like oatmeal cookies the best.

P(9) = 9/12 = 0.75

C)

1 2 3

There are at most 3 people who could like oatmeal cookies the best.

P(<4) = 3/12 = 0.25

Less than 4 who would choose oatmeal cookies = 1/4

why heart shape is a 2d irregular shape?​

Answers

Answer:

Dimensions and angles.

Step-by-step explanation:

A 3d shape has length, width, and height. A 2d regualr shape has equal sides... what makes it irregular is the different angles.

I hope this helps you :)

a railroad inspects 360 railcars. if 95% passed, how many cars passed the inspection?​

Answers

The answer is 342cara

given the function f(x)=11x-22
find f(3)​

Answers

Answer:

f(x)=11x-22

f(3)=11(3)-22

11(3)-22

33-22=11

at a 911 call center, calls come in at an average rate of one call every two minutes. assume that the time that elapses from one call to the next has the exponential distribution. Find the probability after a call is received, it takes more than 3 minutes for the next call to occur.

Answers

Using the exponential distribution, it is found that there is a 0.2231 = 22.31% probability after a call is received, it takes more than 3 minutes for the next call to occur.

What is the exponential distribution?

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

In this problem, the mean is of two minutes, hence the decay parameter is given by:

[tex]\mu = \frac{1}{2} = 0.5[/tex]

The probability that it takes more than 3 minutes for the next call to occur is given by:

[tex]P(X > 3) = e^{-0.5 \times 3} = 0.2231[/tex]

0.2231 = 22.31% probability after a call is received, it takes more than 3 minutes for the next call to occur.

More can be learned about the exponential distribution at https://brainly.com/question/18596455

Help me plzzzzzzzzzzzzz

Answers

Answer:

Hi in my opinion maybe the answer is - 1

Answer:

(0, - 1)

Step-by-step explanation:

The y-intercept is the value of y when the x is equal to 0.

What is the value of y if the line through the two given points is to have the indicated slope (4,y) and (2,6), M=-4?

Answers

Answer:

y= -2

Step-by-step explanation:

y2-y1      6-y =  8

x2-x1       2-4= -2

To solve for y : Your answer has to be 8 then you divide 8/-2 = -4

6-y=8

subtract 6 from both sides   = -y =2

multiply each side by(-1)

to remove the - from Y         (-1)y =(-1)2

                                                   y =-2

Alvin is 15 years younger than Elga. The sum of their ages is 45. What is Elga's age?

Answers

Answer:

Elga is 30 and Alvin is 15

Step-by-step explanation:

45-15=30

30-15=15

30+15=45

Answer:

[tex]\huge\boxed{\text{Alvin = 15, Elga = 30}}[/tex]

Step-by-step explanation:

In order to find Alvin and Elgas age, we can use a system of equations.

Let us assume that [tex]a[/tex] represents Alvin's age and [tex]e[/tex] represents Elgas age.

We can create two equations:

[tex]a = e-15[/tex]

[tex]a+e=45[/tex]

We can now use substitution to find each value. Let's substitute [tex]a = e-15[/tex] into [tex]a+e=45[/tex] as a.

[tex](e - 15) + e = 45[/tex]

We can now simplify this equation and solve for e.

[tex]2e-15 = 45\\2e = 60\\e = 30[/tex]

So we know that Elga is 30 years old. To find Alvin's age, we can substitute the value of e (30) back into one of the equations. Let's do it for [tex]a+e=45[/tex].

[tex]a + 30 = 45\\a = 45-30\\a=15[/tex]

So Elga is 30 years old and Alvin is 15 years old.

Hope this helped!

Rewrite the equation by completing the square 3+x=x^2+3x

Answers

Answer:

the completed square is x=1, -3

What is the value of x in the triangle?


A.

B.

C.

D.

Answers

The answer would be c

Answer:

The base angles of an isosceles triangle are the angles formed by the base and one leg of the triangle. The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent.Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

[tex]x = \sqrt{ {7}^{2} + {7}^{2} } \\ x= \sqrt{49 + 49} \\ x = \sqrt{98} \\ x= \sqrt{49 \times 2} \\ \boxed{x= 7 \sqrt{2} }[/tex]

What is the value of x in the triangle?

A. 7

B. 14

C. 7√2

D. 7√2/2

C. is the right answer.

prove that -
[tex] \sin {}^{2} (\theta) + \cos {}^{2} (\theta) = 1[/tex]

ty !​

Answers

Answer:

Step-by-step explanation

There are many ways to prove this identity. But, I will use the simplest one. If you have a right triangle, the length of the horizontal side is x, the length of the vertical side is y, and the hypotenuse is r. So, the relation between x and r can be written in cosine form:

[tex]\cos\theta=\frac{x}{r}[/tex]

The relation between y and r can be written in sine form:

[tex]\sin\theta=\frac{y}{r}[/tex]

Pythagoras told you that for the right triangle [tex]x^{2}+y^{2}=r^{2}[/tex] should be satisfied. Substitute x and y from the cosine and sine form:

[tex](r\cos\theta)^{2}+(r\sin\theta)^{2}=r^{2}[/tex]

[tex]r^{2}\cos^{2}\theta+r^{2}\sin^{2}\theta =r^{2}[/tex]

the square of r will cancel out, and you can get your identity:

[tex]\cos^{2}\theta+\sin^{2}\theta=1[/tex]

In one year a taco truck makes 13,180 chicken tacos, 7,480 fewer beef tacos than chicken tacos, 2,500 fewer fish tacos than beef tacos. How many tacos does the truck make in all

Answers

Answer:

22,080 tacos

Step-by-step explanation:

13,180 - 7,480 = 5700

5700 - 2500 = 3200

13,180 + 5700 + 3200 = 22,080

Cathy travels 6 miles in 10 minutes. How far can she travel in 18 minutes? Write and solve a proportion to answer the question.

Answers

Answer:

10.8 miles

Step-by-step explanation:

Set up a proportion: [tex]\frac{6}{10} = \frac{x}{18}[/tex] Cross multiply, then divide: 18 × 6 = 108108 ÷ 10 = 10.8So, Cathy can travel 10.8 miles in 18 minutes.

I hope this helps!


If the perimeter of a square is 48 meters, what is the area of that square?

Answers

Answer:

Since in finding perimeter you add the lengths divide the number and substitute it into the formula for area

Is this a fair or biased sample.

A store owner wants to survey customers about the products he sells. He programs the computer to select 100 customers from the mailing list and sends them each a survey.

(I'm torn on this one because on one hand, he's only selecting customers from his mailing list which makes me think biased, on the other he is using the computer to randomly select them so that seems fair. Also, of the people who are sent the surveys, everyone may not apply. So I'm leaning towards biased.)

Answers

Answer:

biased

Step-by-step explanation:

even with the computer randomly picking people, they are still all on the mailing list.

1/2(x - 4) = 5
Thank you!

Answers

Answer:

x = 14

Step-by-step explanation:

1/2(x - 4) = 5                     - Given

1/2x - (1/2 * 4) = 5             - Distribute

1/2x - 2 = 5                       - Multiply 1/2 by 4

1/2x = 7                             - Add 2 to both sides of the equation

x = 14                                 - Divide both sides of the equal by 1/2

How many milliliters are there in 8 liters?

Group of answer choices

Answers

There are 8000 milliliters in 8 liters


Suppose Frank places $8500 in an account that pays 14% Interest compounded each year.
Assume that no withdrawals are made from the account.

find the amount after year 1 and year 2

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$8500\\ r=rate\to 14\%\to \frac{14}{100}\dotfill &0.14\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{each year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1 \end{cases}[/tex]

[tex]A=8500\left(1+\frac{0.14}{1}\right)^{1\cdot 1}\implies A=8500(1.14)\implies \boxed{A=9690} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~~~~~~ \textit{Compound Interest Earned Amount}[/tex]

[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$8500\\ r=rate\to 14\%\to \frac{14}{100}\dotfill &0.14\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{each year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=8500\left(1+\frac{0.14}{1}\right)^{1\cdot 2}\implies A=8500(1.14)^2\implies \boxed{A=11046.6}[/tex]

Does anyone have hard questions concerning arithmetic or geometric sequences?

Answers

Answer:

Nope

Step-by-step explanation:

Nope

You thought your bookcase was 80” (inches) tall. It was really 75.75“
tall. What was your % error rounded to the nearest tenth?
SOMEONE PLEASE ANSWER !!

Answers

Difference=80-75.75=4.25"

Error

[tex]\\ \rm\Rrightarrow \dfrac{Difference}{Original}\times 100[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{4.25}{80}\times 100[/tex]

[tex]\\ \rm\Rrightarrow 0.0535(100)[/tex]

[tex]\\ \rm\Rrightarrow 5.35\%[/tex]

[tex] \boxed{ \pmb{\% \: error = \frac{ |approx - actual| }{actual} \times 100 }}[/tex]

Approx = 80Actual = 75.75

[tex] \sf\% \: error = \frac{ |80 - 75.75| }{75.75} \times 100[/tex]

[tex] \sf\% \: error = \frac{ |4.25| }{ \frac{303}{4} } \times 100[/tex]

[tex] \sf\% \: error = \frac{ 4.25 }{ \frac{303}{4} } \times 100[/tex]

[tex] \sf\% \: error = \frac{ \frac{17}{ \cancel4} }{ \frac{303}{ \cancel4} } \times 100[/tex]

[tex] \sf\% \: error = \frac{ 17 }{ 303 } \times 100[/tex]

[tex] \sf\% \: error = \frac{ 1700 }{ 303 } [/tex]

[tex] \sf\% \: error = 5.6\%[/tex]

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