Find the volume of a pyramid with a square base, where the perimeter of the base is
10.1
ft
10.1 ft and the height of the pyramid is
13.4
ft
13.4 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer 1

9514 1404 393

Answer:

  28.5 ft³

Step-by-step explanation:

The side length of the base is 1/4 of the perimeter, so is ...

  s = (10.1 ft)/4 = 2.525 ft

The area of the square base is the square of the side length, so is ...

  B = s² = (2.525 ft)² = 6.375625 ft²

The volume is given by ...

  V = 1/3Bh . . . . . where h is the height

  V = 1/3(6.375625 ft²)(13.4 ft) ≈ 28.4778 ft³

The volume of the pyramid is about 28.5 ft³.


Related Questions

6th grade math ! Help me please :))

Answers

Answer to the perimeter

2 x (5 + 13)

Answer:

2 x (5+13)

Step-by-step explanation:

To find the perimeter of a rectangle you must add all the side lengths. For the rectangle that is displayed, there are 2 sides that measure 13 cm and two that measure 5 cm. Therefore, you should get your answer by adding the 5 cm and the 13 cm, then, multiply the solution by 2 to get your answer.


Two part-time employees share one full-time job. A girl works Mondays. Thursday, Wednesdays, and Fridays, and a boy works Tuesdays. The job pays an annual salary of $28,612. What annual salary does each employee earn?
The girls salary is______

Answers

One year is 52 week, days of work is 5, 5*52 week is 260 days. One year salary is 28,612, use 28,612/ 260 =110.05 a day. If the boy works only one day a week the he only work 52 day in a year, so is 52*110.05=5722.4 for the boys.
Then use 28612-5722.4= 22889.60 is the girls salary

What are the solutions to the quadratic equation 6x2 + 24x = 0?

Answers

Answer:

x=0   x=-4

Step-by-step explanation:

6x^2 + 24x = 0

Factor out the common factor

6x(x+4) =0

Using the zero product property

6x =0  x+4 =0

x=0   x=-4

Find the volume of a right circular cone that has a height of 12 cm and a base with a diameter of 18 cm.

Answers

Answer:1017.36 cm^3

Step-by-step explanation:

Diameter=18cm

Radius=r=18/2=9cm

Height=h=12cm

Volume of cone=1/3 x π x r^2 x h

Volume of cone=1/3 x 3.14 x 9^2 x 12

Volume of cone=1/3 3.14 x 9 x 9 x 12

Volume =(1x3.14x9x9x12) ➗ 3

Volume =3052.08 ➗ 3

Volume =1017.36

Volume of cone=1017.36 cm^3

A rectangular poster has a length of 24 inches , and it’s width is 12 inches. What is the perimeter of the poster.

Answers

Answer:

(24 + 12) x 2 = 72 inches

What’s the correct answer for this?

Answers

Answer:

D: 8 and 2 and then 8 and 6.

Step-by-step explanation:

Corresponding angles are angles in the same position at an intersection of lines. For example, some of the corresponding angles in this picture are 1 and 7, and 8 and 2. Alternate interior angles are angles that are on the opposite sides of a transversal but are on the inner sides. For example, 8 and 6 and 7 and 5. If you look at all the options and use process of elimination, D will be the only possible answer. For A, 1 and 2 are not corresponding angles, as they are on opposite sides of the same line. For B, 4 and 6 are not alternate interior angles. They are vertical angles, congruent angles mirrored on the opposite side. For C, 7 and 2 are not corresponding angles, as they are not in the same relative position. Therefore, D is the only answer left. 8 and 2 are corresponding angles: they are both on the right side of the lines next to them. 8 and 6 are alternate interior angles, since they are on the opposite sides of the line, but on the inside.

What's your real rate of return if your savings account pays 2.5% interest and inflation is at 1%?
A. 1.5%
B. 2.5%.
C. 3.5%
D. Can't calculate.

Answers

Answer:

Real rate of return = 1.5%

Step-by-step explanation:

Given:

Savings account return = 2.5%

Inflation rate = 1%

Find:

Real rate of return = ?

Computation:

⇒ Nominal rate  of return = Real rate of return + Inflation rate

⇒ Real rate of return = Savings account return - Inflation rate

⇒ Real rate of return = 2.5% - 1%

⇒ Real rate of return = 1.5%

OMG THIS QUESTION IS SO HARD WILL RATE IF U GET IT

Answers

These aren't too hard -- you should really try to do them yourself.

The upper triangle has base 2+2=4 and height 3.2.  The lower one has base 4 and height 4.  Of course the area of a triangle half base times height.

Area = (1/2) 4(3.2) + (1/2)(4)(4) = 2(7.2) = 14.4

Answer: 14.4 sq ft

Pls help with this one I give brainliest thank you! Number 7

Answers

Answer:

length x width x height = volume

5.5 x 2 = 11 x 3 = 33

33 ft.

hope this helps

if you have any questions you can ask!

Step-by-step explanation:

The answer is B) 33
You have to times the height • width • length

The typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. About 68% of adults typically sleep between a minimum of ___ hours a night and a maximum of ____ hours a night. Please enter your answer in the following format and round to the first decimal place: (min_value, max_value)

Answers

Answer:

(6.2, 8.8).

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7.5 hours

Standard deviation = 1.3 hours

About 68% ...

By the Empirical Rule, within 1 standard deviation of the mean.

7.5 - 1.3 = 6.2

7.5 + 1.3 = 8.8

So in the format requested

(6.2, 8.8).

find the value of p in the following equation: 6 * 2/4 = p * 1/4

Answers

Answer: [tex]p=12[/tex]

Step-by-step explanation:

[tex]6*\frac{2}{4}=p*\frac{1}{4}[/tex]

Solve the multiplication on the left side.

6 and 4 can be simplified.

6/2=3

4/2=2

Leaving it like;

[tex]3*\frac{2}{2}=p*\frac{1}{4}[/tex]

2 and 2 is 1 and 3 times 1 is 3.

[tex]3=p*\frac{1}{4}[/tex]

Multiply by 4 to eliminate the fraction and isolate p.

[tex]4*3=p*\frac{1}{4}*4\\12=p[/tex]

Fifteen mothers were asked how many months old their babies were when they cut their first tooth. The results are shown below.

8, 8, 6, 8, 9, 10, 5, 7, 9, 5, 9, 7, 6, 8, 7

Find the range and the outlier(s), if any, of the data set.

Answers

range 5
there are no outliers

how are a common denominator and a common multiple alike and diferent

Answers

Answer:

To find a common denominator of two fractions, you have to find a number that both denominators of the given fractions will divide into. And to find a common multiple, you have to find a number that both given numbers will divide into.

Step-by-step explanation:

Answer:

To find a common denominator of two fractions, you have to find a number that both denominators of the given fractions will divide into. And to find a common multiple, you have to find a number that both given numbers will divide into.

Step-by-step explanation:

what is nine hundred seven thousands in decimal srandard form


Answers

Answer:

0.907

Step-by-step explanation:

0.000 thousandths place

Answer:

9.0 x 10⁶

Step-by-step explanation:

if your looking for 900,000

It took an ice cream 28 minutes to drive through one neighborhood. The truck stopped driving through the neighborhood at 2:05 pm When did the truck start driving through the neighborhood? Choose 1 answer:

Answers

Answer:

Starting time: 1:37

Step-by-step explanation:

Instead of proof to solve the problem, let us prove that the starting time above is correct;

1. There are 60 minutes in an hour, so 60 - 37 = the minutes 'till 2:00, or 23 minutes

2. Knowing that the time the truck stopped driving through the neighborhood was 5 minutes past 2:00, the minute difference being 23 + 5, or 28 minutes

Proved: 28 minutes

50 POINTS!!!!!!! WILL MARK BRAINLIEST! NO COPY/PASTE! TWO TO THREE SENTENCES AND EXPLAIN! WILL REPORT STUPID ANSWERS! According to Nikita Khrushchev, Premier of the Soviet Union, which of the three events had the potential to advance Soviet interests the most? The three events are the Cuban Missile Crisis, The Space Race, and The Berlin Wall.

Answers

Answer: Soviet leader Nikita Khrushchev had gambled on sending the missiles to Cuba with the specific goal of increasing his nation's nuclear strike capability.

Step-by-step explanation:

The Soviet Union signed a treaty with Hitler, the U.S. kept the atomic bomb a secret, and the U.S. took a long time to attack Hitler. France, Britain, and the United States wanted to reunify Germany, so they combined their areas into West Germany. Soviets cut off transportation to West Berlin. This lead to the United States and Britain using the Berlin airlift to bring food/supplies into the isolated part of Soviet occupied West Berlin.

A bottle of has a capacity of 0.43 L. How many milliliters of shampoo does the bottle contain (1 L = 1000 mL

Answers

Answer:

1 = 1000

0.43 L = _________ mL

0.43 * 1000 = 430 mL

430 mL is the answer.

Hope this helps

Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for finding the standard deviation are below.

s = StartRoot StartFraction (12 minus 14) squared + (14 minus 14) squared + (9 minus 14) squared + (21 minus 14) squared Over 4 EndFraction EndRoot. = StartRoot StartFraction negative 2 squared + 0 squared + negative 5 squared + 7 squared Over 4 EndFraction EndRoot. = StartRoot StartFraction 4 + 0 + 25 + 49 Over 4 EndFraction EndRoot. = StartRoot StartFraction 78 Over 4 EndFraction EndRoot. = StartRoot 19.5 EndRoot.

What is the first error he made in computing the standard deviation?
A. Yuri failed to find the difference between each data point and the mean.
B. Yuri divided by n instead of n -1.
C. Yuri did not subtract 9 - 14 correctly.
D. Yuri failed to square -2 correctly.

Answers

Answer:

B. Yuri divided by n instead of n-1

Step-by-step explanation:

It was stated in the question that the dataset was sample dataset. For a sample dataset, the standard deviation is given by the formula,

σ = √ Σ (Xi - mean)²/(n - 1) where i = 1,2,3.....n

Since this is just a sample dataset and not the whole population, Yuri should have divided by n-1 instead of n.

Answer:

B.

Step-by-step explanation:

(Here's Answers for the Quiz I did so far!)

1. Abby is collecting rainfall data.

Answer: B.

2. The Monthly Mean Salaries

Answer: A.

3. The Number of Cars at a Dealer Ship

Answer: A. (6.9)

4. The Mean Set of Credit Card Scores.

Answer: C. (720)

Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given questions.

Listed below are selling prices​ (dollars) of TVs that are 60 inches or larger and rated as a​ "best buy" by a popular magazine. Are the resulting statistics representative of the population of all TVs that are 60 inches and​ larger? If you decide to buy one of these​ TVs, what statistic is most​ relevant, other than the measures of central​ tendency?

1850   1950   1600   1950   1650   1000   1950   1400   1000   1700   1950   1150

Answers

Answer:

a) Mean = $1,595.83

b) Median = $1,675

c) Mode = $1,950

d) Midrange = $1,475

e)

- No, the resulting statistics are not representative of the population of all TVs that are 60 inches and​ larger because it is given that the dataset provided is for the selling prices of TVs that are 60 inches or larger and rated as a​ "best buy" by a popular magazine, hence, this dataset is representative of the best type of TVs that are 60 inches and​ larger and not all TV sets.

- The statistic that is most relevant other than the measures of central tendency is the standard deviation, a measure of dispersion It shows the variation of the selling prices of different best TVs that are 60 inches and​ larger, especially their variations from the mean.

Step-by-step explanation:

The data set for selling prices of TVs that are 60 inches or larger and rated as a​ "best buy" by a popular magazine.

1850   1950   1600   1950   1650   1000   1950   1400   1000   1700   1950   1150

a) Mean

The mean is the sum of all the variables in the distribution divided by the number of variables.

Mean = (Σx)/N = (1850+1950+1600+1950+1650+1000+1950+1400+1000+1700+1950+1150)/12

= (19,150/12) = $1,595.83

b) Median

The median is the variable that falls at the middle of the distribution when all the variables are arranged in ascending or descending order.

Arranging this dataset

1000, 1000, 1150, 1400, 1600, 1650, 1700, 1850, 1950, 1950, 1950, 1950   

The numbers in the middle of this distribution include the sixth and seventh variables respectively, 1650 and 1700

Median = (1650+1700)/2 = $1,675

c) Mode

The mode is the variable with the highest frequency in the distribution. It is the variable that occurs the most in the distribution.

Evidently, the selling price with the highest frequency or the selling price that occurs the most in this distribution = $1950

d) Midrange

The midrange is given mathematically as

Midrange = [(Highest variable) + (lowest variable)] ÷ 2

Highest variable = 1950

Lowest variable = 1000

Midrange = (1950+1000)/2 = $1475

e)

- No, the resulting statistics are not representative of the population of all TVs that are 60 inches and​ larger because it is given that the dataset provided is for the selling prices of TVs that are 60 inches or larger and rated as a​ "best buy" by a popular magazine, hence, this dataset is representative of the best type of TVs that are 60 inches and​ larger and not all TV sets.

- The statistic that is most relevant other than the measures of central tendency is the standard deviation, a measure of dispersion It shows the variation of the selling prices of different best TVs that are 60 inches and​ larger, especially their variations from the mean.

Hope this Helps!!!

Trust me,I will give braineist. I swear to god.

Answers

Answer:

= 1696m^3

Step-by-step explanation:

V = πr²h

= 3.14 x 6 x 6 x 15

= 3.14 x 540

= 1695.6 m^3

= 1696m^3

what's the solution to the inequality 1 2/3 > r - 7/12​

Answers

Answer:

r ≤ 2 1/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality PropertiesRewriting Fractions

Step-by-step explanation:

Step 1: Define

1 2/3 ≥ r - 7/12

Step 2: Solve for r

Rewrite:                    5/3 ≥ r - 7/12Isolate r:                    9/4 ≥ rRewrite:                    r ≤ 9/4Reduce:                    r ≤ 2 1/4

Here we see that any number r less than or equal to 2 1/4 will work as a solution to the inequality.

Rectangle ABCD has vertex coordinates A(-1,-1), B(-1, -3), C(-4,-3), and
D(-4,-1). It is translated 2 units to the left and reflected across the x-axis.
What are the coordinates of A"B"C"D?

Answers

Answer:

A"(-3, 1)

B"(-3, 3)

C"(-6, 3)

D"(-6, 1)

Step-by-step explanation:

first, find the coordinate after you move it to the left by simply adding 2 to the X coordinate because left and right is in the X plane.

you will get these;

A"(-3, -1)

B"(-3, -3)

C"(-6, -3)

D"(-6, -1)

Then, to find the new coordinate after getting the rectangle reflected across the x-axis, simply change all Y coordinate into positives.

HOPE THIS HELPS :))

Evaluate 12 ➗(0.9 -0.04

Answers

Answer:

13.9534883721

Step-by-step explanation:

12/(0.9-0.04)=12/0.86=13.9534883721

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

1.  Understand your problem

2. Gather your resources

3. Come to an answer

4. Check your answer and present the solution

Step-by-step explanation:

Use the net as an aid to compute the surface area (rounded to the nearest integer) of the triangular pyramid with an equilateral triangle base.

A) 224 m2
B) 240 m2
C) 254 m2
D) 270 m2

Answers

Answer:

Correct answer is [tex]C)\ 254\ m^{2}[/tex]

Step-by-step explanation:

As per the given diagram, we know the following details:

Height of the triangular pyramid is 14m.

Side of base = 10m

Height of Triangular base = 8.7m

Formula for surface area of triangular pyramid:

[tex]\text{Area = Area of Triangular base + 3 }\times\text{Area of side triangle}[/tex]

(Triangular base is shown in the dotted lines in the question figure.

The other 3 triangles are the side triangles.)

We know that,

[tex]\text{Area of a triangle = }\dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

[tex]\Rightarrow \text{Required Surface Area = } \dfrac{1}{2} \times 8.7 \times 10 + 3 \times \dfrac{1}{2} \times 14 \times 10\\\Rightarrow \dfrac{1}{2}\times (87 + 3 \times 140)\\\Rightarrow \dfrac{1}{2}\times (87 + 420)\\\Rightarrow \dfrac{1}{2} \times 507\\$\approx$ 254 m^{2}[/tex]

Hence correct answer is [tex]C)\ 254\ m^{2}[/tex].

Which of the following is a ray as shown in the drawing?

Answers

Answer:

DH

Step-by-step explanation:

this is just to comment to tell everyone this is multiple choice meaning it could be ad or ij togethe.

1+(5,6)
Square root 3.14

Answers

Answer:

still need help

Step-by-step explanation:

PLS HELP ME!
Um doing venn digrams so u have to set one up for it to work... TWENTY POINTS

Answers

Answer:

Creating a diagram..

Step-by-step explanation:

Alrighty, I've made a diagram. I've even uploaded it so everyone can see how good at drawing I am (not)

a. 7 do not own anything.

b. the probability that someone owns a bone or a stick is 50%.

c. the probability that someone owns a rock and a bone is 14%.

d. the probability that someone owns at least 2 items is 42%.

e. the probability that someone owns only 1 of these items is 51%.

Please tell me if im wrong! im only a student .m.

Determine whether the distribution is a discrete probability distribution. x 0 100 200 300 400 Upper P (x )0 0 0 0 1 Is the distribution a discrete probability​ distribution? A. Yes comma because the sum of the probabilities is equal to 1. B. Yes comma because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive. C. No comma because the sum of the probabilties is not equal to 1. D. No comma because each probability is not between 0 and 1 comma inclusive.

Answers

Complete Question

Determine whether the distribution is a discrete probability distribution.

xP(x)

0   0.100

1   0.200

2  0.300

3  0.400

Is the distribution a discrete probability​ distribution?

A. Yes , because the sum of the probabilities is equal to 1.

B. Yes , because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive.

C. No , because the sum of the probabilties is not equal to 1.

D. No , because each probability is not between 0 and 1 comma inclusive.

Answer:

The correct option is B

Step-by-step explanation:

From the question the probabilites are

        [tex]p_1 = 0.100[/tex]

        [tex]p_2 = 0.200[/tex]

        [tex]p_3 = 0.300[/tex]

        [tex]p_4 = 0.400[/tex]

The sum of the probability is  

       [tex]\sum p(x) = 0.100 + 0.200+ 0.300+ 0.400 = 1[/tex]

Diameter EG is drawn on circle H and point F is located on the circle such that GF = 8.5inches. If the radius of the circle is equal to 10 inches, then what is the measure of GF to the nearest degree?

Answers

Answer:

[tex]\widehat{GF}=49[/tex] degrees

Step-by-step explanation:

In the figure attached, EG is the diameter of the circle and a point F is located on the circle.

Measure of [tex]\widehat{GF}[/tex] = 8.5 inches

Radius HF = 10 inches

Formula to get the length of arc = [tex]\frac{\theta}{360}\times (2\pi r)[/tex]

8.5 = [tex]\frac{\theta}{360}(2\pi)(10)[/tex]

θ = [tex]\frac{360\times 8.5}{20\pi }[/tex]

  = 48.7°

  ≈ 49°

Since central angle = measure of the intercepted arc

Therefore, [tex]\widehat{GF}=49[/tex] degrees will be the measure of the given arc GF.                                  

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