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.

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.

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

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

          Here, r = radius of the cone

                    h = Height of the cone

Given in the question,

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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Answer:

105.

Step-by-step explanation:

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

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

Answer:

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

Step-by-step explanation:

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"

[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 :))

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

Answer:

-3/2

Step-by-step explanation:

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!

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.

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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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)

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.

Answer:

70%

Step-by-step explanation:

Because 100% - 30% = 70%

Answer:

hi

Step-by-step explanation:

Answer:

C. (2,4)

Step-by-step explanation:

2 gallons = 8 quarts

hope it's help ;3

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:)

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

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

Answer:

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

Answer:

21x

Step-by-step explanation:

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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 <

Answer:

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

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