Find the volume of a pyramid with a square base, where the perimeter of the base is 7.4 ft and the height of the pyramid is 8.1 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer 1

9514 1404 393

Answer:

  9.2 ft³

Step-by-step explanation:

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

  s = P/4 = (7.4 ft)/4 = 1.85 ft

The area of the base is the square of this, or ...

  A = s² = (1.85 ft)² = 3.4225 ft²

The volume of the pyramid is given by ...

  V = 1/3Bh = (1/3)(3.4225 ft²)(8.1 ft) = 9.24075 ft²

The volume of the pyramid is about 9.2 cubic feet.


Related Questions

How many quarts are in two gallons?

Answers

2 gallons = 8 quarts

hope it's help ;3


Jimmy ate 1/3 of his sandwich at lunch. He ate another 2/3 of the sandwich. How much of the sandwich did Jimmy eat in all?
A.1/3
B.2/3
C.3/3
D.5/3

Answers

The answer is c (this needs too be 20 characters long)

Can someone pls help me I’ll mark brainiest

Answers

Answer:

70%

Step-by-step explanation:

Because 100% - 30% = 70%

You have 10 gallons of lemonade to sell. (1 gal $\approx$ 3785 cm3)

A conical paper cup is shown. Its height is 11 centimeters and the diameter of its base is 8 centimeters.

a. Each customer uses 1 paper cup. The cups are sold in packages of 50. How many packages should you buy?

b. How many cups will be left over if you sell 80% of the lemonade?

Answers

Answer:

Step-by-step explanation:

volume of cone cup = ⅓πr²h = ⅓π4²·11 ≅ 184.31 cm³

10 gal × 3,785 cm³/gal = 37,850 cm³

37,850 cm³ × (1 cone)/(184.31 cm³) ≅205.4 cones

Buy 5 packages (250 cones).

8 gal × 3,785 cm³/gal = 30,280 cm³

30,280 cm³ × (1 cone)/(184.31 cm³) ≅165 cones

250 - 165 = 85 cones left over

a). Number of packs of cups to be purchased = 5 packs

b). Number of cups remaining if 80% lemonade is sold = 85 cups

Volume of a cone:  Volume of a cone is given by the expression,

          [tex]V=\frac{1}{3}\pi r^2h[/tex]

          Here, r = radius of the cone

                    h = Height of the cone

Given in the question,

 Radius of the cone = [tex]\frac{8}{2}[/tex] = 4 cm  Height of the cone = 11 cm  Amount of lemonade = 10 gallons

a). Volume of one cone = [tex]\frac{1}{3}\pi (4)^2(11)[/tex]

                                        = 184.307 cm³

    Covert the gallons into cubic cm,

   ∵ 1 gallon = 3785 cm³

   ∴ 10 gallons = 37850 cm³

   ∵ 184.307 cm³ volume represents the number of cones = 1

   ∴ 1 cm³ will represent the voulume = [tex]\frac{1}{184.307}[/tex] cups

   ∴ 37850 cm³ will represent the volume = [tex]\frac{37850}{184.307}[/tex] cups

                                                                      = 205.36 cups

                                                                      ≈ 205 cups

     Therefoe, number of packs of cups to be bought = [tex]\frac{205}{50}[/tex]

                                                                                         = 5 packs

b). If 80% of the lemonade are sold, amount of lemonade sold = 10 × [tex]\frac{80}{100}[/tex]

                                                                                                        = 8 gallons

    Volume of 8 gallons lemonade in cm³ = 8 × 3785

                                                                     = 30280 cm³

    Therefore, number of cups to be used = [tex]\frac{30280}{184.307}[/tex] cups

                                                                     = 164.29 cups

                                                                     ≈ 164 cups

    Number of cups purchased = 250

    And the number of cups remaining = 250 - 164

                                                                 = 86 cups

    Therefore, number of cups remaining are 86 cups.

Learn more about volume of the cone here,

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A student must leave for campus in 10 minutes or he will be late for class.​ Unfortunately, he is snowed in. He can shovel the driveway in 18 ​minutes, and his brother claims to be able to do it in 12 minutes. If they shovel​ together, how long will it take to clear the​ driveway? Will this give enough time for the student to get to the​ campus?

Answers

Answer:

I believe if they did it together they would finish in 6 minutes

Step-by-step explanation:

-2y + 4 > 10

solve the inequality

Answers

Step-by-step explanation:

-2y+4>10

subtract 4 from both sides

-2y+4-4>10-4

-2y>6

divide both sides by two

-2/2y>6/2

-1y>3

if negative y is greater than three than you have to multiply both sides of the equation by -1

y>-3 if you put that back into the earlier equation it is impossible.

so we have to switch the signs to < or less than

y<-3

Hope that helps:)

Please this will determine if I pass

Answers

The answer is B through ASA (Angle-Side-Angle) similarity criterion.

Plss I need help

ASAP

Answers

Answer:

21x+56 %thats ur answer hope it worked !

Answer:

21x

Step-by-step explanation:

ssjsjsjsjsjsssjsjsss

Does anyone know the answer??????

Answers

Answer:

i think its the 2nd choice but im not 100% sure

What is the median of data set 32 25 25 32 32 10 -10 25 ​

Answers

Answer:

-10, 10, 25, 25, 25, 32, 32, 32

Its 25

Step-by-step explanation:

The median is the middle number if there are an even amount of numbers you would have two medians add them the divide by two

the median is 25. you can put the numbers in order from least to greatest values and cross out one by one to make it easier! hope this helps :D

Toni gives a cashier a $20 bill he is buying an item for $4.79 how much money should tony get back

Answers

Answer:

$15.21

Step-by-step explanation:

Answer:

15.21

Step-by-step explanation:

20−4.79

Subtract 4.79 from 20 to get 15.21.

15.21

Grace drove 28 1/2 miles . She used 1 1/4 gallons of gasoline . What is the unit rate for miles per gallon

Answers

Answer:

hi

Step-by-step explanation:

Answer these two correctly and I’ll reward 8 points + brainalist

Answers

Answer:

1. B.

2. C.

Step-by-step explanation:

1. It only has one cell so it needs to rely on other organisms in order for it to survive

2. Chloroplasts are only found in plants you can remember it by "Chloroplants"

Solve the system using elimination.
3x + 5y = -2
-x + 2y = 8
([?], [ ]

Answers

Answer:

Step-by-step explanation:

To eliminate the x terms, first multiply the second equation by 3:

-3x + 6y = 24

then add it to the first equation:

3x + 5y = -2

-3x + 6y = 24

------------------

0x + 11y = 22

y = 2

plug the value of y into one of the equations:

-x + 2(2) = 8

x = 4-8 = -4

(x,y) = (-4, 2)

Pls answer this for me​

Answers

Answer:

A) 216in squared

Step-by-step explanation:

6 / 2 = 3

4 * 3 = 12

12 * 2 = 24

5 * 12 = 60

60 * 2 = 120

6 * 12 = 72

24 + 72 + 120 = 216in^2

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Estimate 201 to the nearest tenth.

Answers

200 is the correct answer!

Pythagorean theorem

Answers

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

Used to find side lengths of right triangles, a and b represent sides, while c represents the hypotenuse.

The equation x = 1 is an example of linear but not function. Why?

Answers

Because there is more than two y values for x = 1

more on fraction

21×5​

Answers

Answer:

105.

Step-by-step explanation:

21+21+21+21+21=105.

calculate the GPA of a student with the following grades: B (3 hours), D (8 hours), C (18 hours). Note that an A is equivalent to 4.0, a B is equivalent to a 3.0, a C is equivalent to a 2.0, a D is equivalent to a 1.0, and an F is equivalent to a 0. Round your answer to two decimal places.

Answers

Answer:

The GPA of the student is 1.83.

Step-by-step explanation:

We use a weighted average to solve this question.

We have the following grades:

B, which is equivalent to 3, with weight 3.

D, which is equivalent to 1, with weight 8.

C, which is equivalent to 2, with weight 18.

So

[tex]M = \frac{3*3 + 1*8 + 2*18}{3 + 8 + 18} = \frac{53}{29} = 1.83[/tex]

The GPA of the student is 1.83.

I need some help
I will give you brainliest and heart!

Answers

Answer:

Correct!

Step-by-step explanation:

First, I'll try to solve it myself.

2(2a-1)+3a=7a-2

7a-2

4a-2=7a-2

His is very correct!

which is the least -1 1/4 or -3/2

Answers

Answer:

-3/2

Step-by-step explanation:

Determine the length of the diagonals of the isosceles trapezoid below when KL= h+7 and UE= 4h-25

Answers

Answer:

KL= 17.67 unit

UE = 17.67 unit

Step-by-step explanation:

Given:

Diagonals

KL= h+7

UE = 4h-25

Find:

Length of diagonals KL and UE

Computation:

We know that in isosceles trapezoid the length of diagonals are equal

So,

KL = UE

h+7 = 4h-25

3h = 32

h = 10.67

So,

KL= h+7

KL= 10.67+7

KL= 17.67 unit

UE = 4h-25

UE = 4(10.67)-25

UE = 17.67 unit

Miss logan leaves school at 15:55 it takes her 1 hour and 20 mins to get home what time does she arrive home? answer using 24 hour time​

Answers

Answer:

5:15

Step-by-step explanation:

15:55 = 3:55 in normal time

3:55 + 1 hr = 4:55

4:55 + 20 min = 5:15

I NEED HELP WORTH THIS there is one more option of 6,6 also

Answers

Answer:

C. (2,4)

Step-by-step explanation:

Pls help extra points and mark

Answers

The answer is c. Good luck

Q2) A

farmer distributed an amount of Rs 56 among his two children in the ratio 3 :5 How much amount was received by each of them

Answers

[tex]\huge\mathfrak\purple{answer}[/tex]

[tex]3x + 5x= \red{56} \\ 8x = \red{56} \\ x = \frac{56}{8} \\ x= \red{7}[/tex]

(Mark me brainliest if you're satisfied with the answer :))

the picture is the question​

Answers

Answer:

Swap the direction of the inequality

Step-by-step explanation:

Anytime you multiply or divide by a negative number in an inequality, you flip the symbol so > turns into <

calculate 30% of 500 kg​

Answers

150 kilograms is your answer
Answer: 150 kg :D

Have a good day :D

A and B are independent events, A and C are dependent. P(A|B) = 0.3, P(A|C) = 0.2. Find P(A).

Round your answer to the nearest tenth.

Answers

Answer:

P(A) = 0.3

Step-by-step explanation:

independent event:

P(A|B) = P(A) = 0.3

The value of P(A) is equal to 0.3 to the nearest tenth.

Which pair of events are called independent events?

When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events. Comparing it with the chain rule will give

[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]

It is showing that whether one occurred or not, the other one doesn't care about it (independence).

Given that A and B are independent events, A and C are dependent. P(A|B) = 0.3,

P(A|C) = 0.2.

We know that for the independent event:

P(A|B) = P(A)

Hence, P(A) = 0.3

The value of P(A) is equal to 0.3 to the nearest tenth.

Learn more about independent variables;

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