Find the volume of a pyramid with a square base, where the perimeter of the base is 10.7\text{ ft}10.7 ft and the height of the pyramid is 9.8\text{ ft}9.8 ft.

Answers

Answer 1

The volume of the pyramid is 23.375 ft^3.

We have,

Volume = (1/3) * Base Area * Height

In this case, the base of the pyramid is a square, and the perimeter of the base is given as 10.7 ft.

The perimeter of a square is equal to 4 times the length of one side.

Let's denote the length of one side of the square base as s.

And,

4s = 10.7

Solving for s:

s = 10.7 / 4 = 2.675 ft

Base Area = s^2

Plugging in the value of s:

Base Area = (2.675 ft)^2 = 7.156 ft^2

Now,

Volume = (1/3) * Base Area * Height

Volume = (1/3) * 7.156 ft^2 * 9.8 ft

Volume = 23.375ft^3 (rounded to six decimal places)

Therefore,

The volume of the pyramid is 23.375 ft^3.

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Related Questions

solve for x. enter you answer below as a fraction ​

Answers

Answer:

x=9/80

Step-by-step explanation:

Answer:

9/80

Step-by-step explanation:

[tex]1)\ x + \frac{9}{20} = \frac{9}{16}[/tex]

[tex]2)\ x = \frac{9}{16} - \frac{9}{20}[/tex]

[tex]3)\ x = \frac{9}{16} - \frac{9}{20}[/tex]

[tex]4)\ x = \frac{45}{80} - \frac{36}{80}[/tex]

[tex]5)\ x = \frac{9}{80}[/tex]

math question 30 points if you answer

Answers

Answer:

Step-by-step explanation:

h(t) = - 16t² + 22t + 6

h = 13.5625 ft

Jordan scored 19 points during a basketball game. She made a total of 9 baskets.

If Jordan made only one-point free throws and three-point baskets, how many of each did she make?

A
1 one-point basket; 6 three-point baskets
B
4 one-point baskets; 5 three-point baskets
C
5 one-point baskets; 4 three-point baskets
D
6 one-point baskets; 3 three-point baskets

Answers

Answer:

B) 4 one-point baskets: 5 three-point baskets

Step-by-step explanation:

(4 x 1) + (5 x 3) = 19

Answer:

B

Step-by-step explanation:

5x3=15

4x1=4

15+4=19

PLUS a total of 9 baskets.

Therefore, your answer is B


14 In a book, 98% of the pages contain text, diagrams on both. If 88% of the pages
contain text and 32% contain diagrams, what percentage contain

a.neither text nor diagrams
b. only diagrams
c.only text
d.both text and diagrams?​

Answers

Answer:

2%

10%

66%

22%

Step-by-step explanation:

For the first one we just need to find the compliment of the union (.98) which is .02

Union formula:

A∪B=A+B-A∩B

We will let T= text and D= diagram

we know that

.98=.88+.32-T∩D

Solve and find that T∩D= .22

Only diagram: .32-.22= .1

Only text: .88-.22= .66

Text and diagrams is the intersection we found earlier or .22

Solve by using substitution.

=3−8

=−4

Answers

Answer:

I'm going to assume that you meant y=3x-8 and y=-4

This means that you would substitute -4 into the spot of y which gives you -4=3x-8. Once solved you would receive x=4/3.

Hope I helped have a nice day :)

If one of the 50 states is chosen at random, then a dice is rolled. Find the probability of getting a state that starts with the letter A and a number less than 3. Pls, help me this is due by tomorrow at 8 am!

Answers

Answer:  2/75

Note: 2/75 = 0.0267 = 2.67% approximately

========================================================

Explanation:

The states that start with "A" are:

AlabamaAlaskaArizonaArkansas

We have four states out of 50 total. The probability of picking a state that starts with "A" is 4/50 = 2/25.

When rolling a single die, the possible outcomes are {1,2,3,4,5,6}. The subset {1,2} represents any time we roll less than three. There are 2 ways to roll less than three, out of 6 ways total. So we have a probability of 2/6 = 1/3 here.

We'll multiply the fractions to get our answer:

(2/25)*(1/3) = (2*1)/(25*3) = 2/75

beau completed 2/5 of his science project on Friday and 1/3of the project on Saturday what fractional part of his project did she complete during these two days​

Answers

Answer:

beau completed 2/5 of his science project on Friday

beau completed 1/3 of his science project on Friday

Now

he completed during these two days=1/3+2/5=11/15 part of his project

SOMEONE PLEASEEEE HELPPPP

Answers

[tex]adjacnt {}^{2} = opposite {}^{2} + hypotenuse {}^{2} \\ adjacent {}^{2} = 8 {}^{2} + 12 {}^{2} \\ adj {}^{2} = 64 + 144 \\ adj {}^{2} = 208 \\ adjacent = \sqrt{208} \\ adjacent = 4 \sqrt{13} [/tex]

Can someone help me ?? I’ll give Brainliest

Answers

Answer: All I'm seeing is a blank screen I'm sorry can you try it again?

Answer:

nice black screen i like it

Solve the system using
the elimination method.
(3x + 4y = 6
<
(2x + 3y = 3

Answers

Answer:

[tex]3x + 4y = 6 - - - (a) \\ 2x + 3y = 3 - - - (b) \\ 2 \times (a) - 3 \times (b) : \\ = > 0x - y = 3 \\ y = - 3 \\ 2x - 9 = 3 \\ 2x = 12 \\ x = 6 \\ { \boxed{x = 6}} \\ { \boxed{y = - 3}}[/tex]

slove the system of substitution


y=x-8

y=2x-4

Answers

Answer:

x + y = 4 ,  x − y = 2

x + 2 y = 4 ,  x − y = − 3

x 2 − y = 2 ,  2 x − y = − 1

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

x-8=2x-4

+8        +8

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

x=2x+4

-2   -2

-----------

-x=4

-1    -1

----------

x=-4

Help meeeeeeeeeeeeee

Answers

Answer:

36.87( round if needed(

Step-by-step explanation:

we know a side adjacent to the angle and opposite of the angle so we apply tangent function

[tex] \tan(x) = \frac{3}{4} [/tex]

[tex] \tan {}^{ - 1} ( \frac{3}{4} ) = 36.87[/tex]

Round if neededd

Find the scale factor of a model train if the scale is 1 inch = 4 feet.

Answers

Answer:

1

Step-by-step explanation:

The scale factor is 1:48

4 feet = 48 inches, so 1:48

A cube has side length of 1 meter. Determine the volume of the cube. Include all of your calculations in your final answer.

Answers

Answer:

look at the picture i sent......

I need this answered quick alot of points on the line here 2 pictures down below

Answers

Answer:

1.x=10 and x=−2.

2. the answer is x=7,-1

3.=3, =1

Step-by-step explanation:

1.Since it is a quadratic equation, then it has, at the most, two solutions because the square root of the variable has a positive and negative value. Thus, the solutions to the given equation are x=10 and x=−2.

2.Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula. the you would simplify the equation.and the last thing that is to separate the equation.

3.-(-4)+/-sqrt(-4)^2-4^1^3/2*1,x=4+/-sqrt(-4)^2-4*1*3,x=4+/3sqrt16-4*1*3,x=4+/-sqrt16-12,/2*1,x=4+/-sqrt4/2*1,x=4+/-2/2*1,x=4+/2/2,x=4+2/2,x=4-2/2

Quinn has a savings account with a balance of
$84.50. He withdraws $32.85, deposits $72.30,
and then withdraws $3.95. If Quinn gives his
brother 1/4 of his savings, how much does he
give his brother?

Answers

Aaron wants to know how much he needs to save each month in his savings account to have a certain amount in the future. He should use the formula for present value of a periodic deposit investmen

A trader made a profit of 24% by selling an article for #372 how much should he have sold it to make a profit of 48%

Answers

Answer: #444

Step-by-step explanation:

First find the original selling price of the article.

When sold for #372 the profit was 24%. Assume the original price is x.

372 = x + 24% * x

372 = 1.24x

x = 372 / 1.24

= #300

If he wanted to make a profit of 48% he should have sold for:

= Original price + (original price * 48%)

= 300 + (300 * 48%)

= #444

HELLLLLPPPPPP MEEEEEE PLLLLEAAAASSEEEEW!!!!

Answers

3. primal. 4. venture. 5. venture

On a scale drawing, the height of a tree is 3.75 inches. If the scale of the drawing is 1 in. : 50 ft, how tall is the tree?

HINT: Write and solve a proportion. You will compare 1 in to 50 feet and then determine how many feet 3.75 inches would be. REMEMBER: When writing your proportion, be sure that whichever (inches or feet) is on top and bottom of one ratio, it is in the same position (top or bottom) on other ratio.

Answers

Not sure if this is right but I would multiply the 3.75 inches by 50=187.5

The quadrilateral shown is a rectangle. What is measure zvw

Answers

Answer:

measure of zvm is 119°

Step-by-step explanation:

xvw+zvw=180°{straight angle}zvm=180-61=119°

stay safe healthy and happy.

The perimeter of a rectangle is 48cm. its length is 4 cm. what is its width?

Answers

Answer:

P = 48

4 + 4(two given lengths) = 8

48(perimeter) - 8(length of two given lengths) = 40(length of two unknown sides)

40(length of two unknown lengths) divided by 2(two missing sides) = 20 cm

b) Assume that 80 persons die, and 250 babies are born around the world each minute. how many more/fewer humans do you expect there to be on Earth at the end of 2021? Show your work. (population growth rate=birth rate – death rate (assuming zero migration)).

Answers

Answer:

ratio 80:250

Step-by-step explanation:

there will be less people than babies

Please answer quickly. I need help bad

The equation y-3=-2(x+1) represents a line. Which best describes the line?
A. slope: 4, passes through (1, -2)
B. slope: -2, passes through (-1,3)
C. slope 2, passes through (-3, 1)
D. slope 4. passes through (2, -1)

Answers

Answer:

B

Step-by-step explanation:

Find the area of the regular nonagon

Answers

Answer:

267.3

Step-by-step explanation:

area of a regular polygon =

(perimeter * apothem)/2

perimeter: 9 * 6.6 = 59.4

area: 59.4 * 9 = 534.6

534.6/2 = 267.3

area = 267.3

Find the solution of the system of equations.

-2x-6y=8
-6x-6y=0

Answers

x=-7
y=7

First solve for x in -2x-6y=8, and you will get -7. Then plug -7 into x for -6x-6y=0 and you will get 7.

Can someone help me with this

Answers

Answer:

C

Step-by-step explanation:

1. Absolute values are in the shape of a V, so the answer is automatically C.

2. If you did not know that, you can see that the graph is a function because it passes the vertical line test. This rules out option A. By looking at the graph, you can see it passes the x-axis twice, meaning that it has 2 x-intercepts. This rules out option B. X-intercepts always have a y-coordinate of 0, so we can rule out option D. The only option left after this is C.

The answer is going to be C :)

for the bud to see... and one person to get poi.nts XD
so addison got banned yesterday but got her account back today and then drake got banned today

Answers

Answer:

WHAT!? THEY BOTH GOT BANNED?! HOW

Obtuse can have right angles.
True or False

Answers

False. Obtuse is always greater than 90°.

Answer:

False

Obtuse triangles can't have right angles

What is the total surface area of a dog food can which has a diameter of 5 inches and a height of 7
inches?

Answers

Answer:

35.................

The scale shown is not balanced.

Drag base ten blocks to the box to show the amount that x needs to be to balance the scale.

HELP PLEASEEEEE

Answers

Answer:

1 (100block)

5 (10block)

3 (1block)

Step-by-step explanation:

221-68=153

1x100=100

5x10=50

3x1=3

The amount that x = 53 needs to be to balance the scale.

What is an equation?

The term "equation" refers to a pair of algebraic expressions with the same value and the sign "=" in between.

We have an equation,

221 = x + 68

x = 221 - 68

x = 153

In 153,

1 is in place of hundred 100, 5 is in the place of 10 so, 50.

Therefore, x = 53 is the amount that needs to be to balance the scale.

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