Find the volume of a pyramid with a square base, where the perimeter of the base is
9.9 cm and the height of the pyramid is 8.6 cm. Round your answer to the nearest
tenth of a cubic centimeter.

Answers

Answer 1

The volume of a pyramid with a square base is 17.6 cubic centimeter.

Given the following data;

Perimeter of base = 9.9 cmHeight of pyramid = 8.6 cm

To find the volume of a pyramid with a square base;

Mathematically, the volume of a pyramid with a square base is given by the formula;

[tex]V = A(\frac{h}{3})[/tex]

Where;

V is the volume of a pyramid with a square baseA is the area of the square base.h is the height of the pyramid.

First of all, we would determine the length of sides of the square base from its perimeter;

[tex]Perimeter \ of \ square = 4s\\\\9.9 = 4s\\\\s = \frac{9.9}{4}[/tex]

s = 2.475 cm

Next, we would determine the area of the square;

[tex]Area \ of \ a\ square = s^{2} \\\\Area \ of \ a\ square = 2.475^{2}[/tex]

Area of a square = 6.126 cm

Now, we would use the above value to find the volume of a pyramid with a square base.

Substituting the values into the formula, we have;

[tex]V = 6.126*(\frac{8.6}{3})\\\\V = 6.126*2.867[/tex]

Volume, V = 17.6 cubic centimeter

Therefore, the volume of a pyramid with a square base is 17.6 cubic centimeter

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Related Questions

Please help me I’m in finals a don’t want to fail

Answers

Answer:

1, 2, 3

Step-by-step explanation:

X <= 20 means that x has to be less than OR equal to 20.

The first option is -100. That's less than 20, so this statement is true.

The second option is 10. That's also less than 20, so this statement is also true.

The third option is 20. This is equal to 20, so this is also true.

The fourth option is 21, which is greater than 20, so it's not true.

The fifth option is 45, which is greater than 20, so it's not true.

Sorry I answered so late, hope this helps even though you probably don't need it anymore.

Need help ASAP and please don't be a scammer
Is this an enlargement or a reduction? How do you know?

Answers

Answer:

Reduction

Step-by-step explanation:

The resulting shape M'S'V' is smaller than the original shape MSV, so it is therefore classified as a reduction.

Is the equation conditional, an identity, or a contradiction? y - 11 + 3y = 6y + 4

Answers

Answer:

The equation is a conditional.

y = 7.5

Step-by-step explanation:

y - 11 + 3y = 6y + 4

4y - 11 = 6y + 4

4y - 4y - 11 = 6y - 4y + 4

- 11 = 2y + 4

- 11 - 4 = 2y + 4 - 4

2y = - 15

2y ÷ 2 = - 15 ÷ 2

y = - 7.5

HELP ILL GIVE BRAINLIEST

Answers

Answer:

-2/3

Step-by-step explanation

Use the two points on the graph to calculate the slope. (2, -1) and (-4, 3)

The formula is (y2 - y1)/(x2 - x1) so (3 - (-1))/(-4 - 2) = 4/-6 = -2/3

A zoo measured the wingspan, in millimeters of 9 butterflies What is the median length of the wingspan

Answers

I’m gonna say 24 mm explanation I’m guessing

Use what you know about similarity and proportions to solve for x in the triangles below. Show all work.
4
10
5
x + 5

Answers

Answer:

Value of x = 7.5 unit

Length of side = 12.5 unit

Step-by-step explanation:

Given that both triangles are similar because all angles are equal;

So, the ratio of similar lines is in the same proportion.

[x + 5] / 5 = 10 / 4

4[x + 5] = 50

4x + 20 = 50

4x = 50 - 20

4x = 30

x = 30 / 4

x = 7.5

So,

Value of x = 7.5 unit

Length of side = x + 5

Length of side = 7.5 + 5

Length of side = 12.5 unit

Is a triangle with side lengths 7cm, 24 cm, and 25 cm a right triangle? Explain.

Answers

Answer:

Step-by-step explanation:

If this is right triangle, then 2 things are fact: that the side length 25 is the length of the hypotenuse since the hypotenuse is always the longest side in a right triangle, and that Pythagorean's Theorem applies. Let's check that:

[tex]7^2+24^2=25^2[/tex] If this is a true statement, then these sides do indicate a right triangle.

49 + 576 = 625 and

625 = 625 so yes, this is right triangle by the Converse of Pythagorean's Theorem

Work out the circumference of of a circle with a radius of 6mm. Give you answer in pie

Answers

Answer:

12 pi mm

Step-by-step explanation:

formula : circumfrence =  2 pi r

so pi * 2*6 mm = 12 pi mm

C≈37.7mm that should be your correct answer!

can someone please help with this i don’t know how to do it 85points

Answers

Answer:

Step-by-step explanation:

You can find the area by cutting it across in the middle into a trapezoid and a rectangle.

The trapezoid will have:

height = 10-4 = 6ft

top = 9-6 = 3ft

bottom = 8ft

So its area = 1/2*(3+8)*6 = 33 ft^2

The rectangle will have:

length = 10ft

width = 6ft

So its area = 10*6 = 60 ft^2

Total area = 60+33 = 93 ft^2

Answer:

93 ft^2.

Step-by-step explanation:

Divide the figure into 3 shapes; a triangle (top), and two rectangles (one in the middle and one on the bottom).

First find the area of the rectangle;

10*6 = 60 save that for later;

The dimensions of the second rectangle are not given but you can solve for them.  

The width of the base of the second rectangle will be 10ft. - 4 ft. , this is because the base of the first rectangle is part of the base of the second rectangle with a length of 4 ft cut off.  

The height of the second rectangle is given by 9ft. - 6ft.

Multiply the width (base) and height;

6*3=18

The base of the triangle is the same as the second rectangle's.  Use that for the base.  The height is given by 8-(the height of the second rectangle). The height is 5 and the base is 6.

1/2(5*6) = 15

Add all of the values together;

15+18+60 = 93 ft^2

2) Escreva a expressão algébrica que representa cada uma das seguintes condições:

a) o triplo de um número y somado com um número x______________

b) a diferença entre o quadrado do número a e o dobro do número b___________


c) o quádruplo do número t aumentado da metade do número m____________

d) a diferença entre o produto o produto do número x pelo número y e o quadrado do número

a_________


rápido pfv gnt preciso entregar essa atividade hoje T-T

Answers

Answer:

a) 3y + x

b) a ^ 2 -2b

c) t ^ 4 + m / 2

d) xy - x ^ 2-y ^ 2

Step-by-step explanation:

a) o triplo de um número y adicionado a um número x ______ 3y + x ________

b) a diferença entre o quadrado do número a e o dobro do número b ______ a ^ 2 -2b _____

c) quadruplicar o número t aumentado pela metade o número m _______ t ^ 4 + m / 2 _____

d) a diferença entre o produto do produto do número x e o número y e o quadrado do número

The____xy - x ^ 2-y ^ 2 _____

Find the volume and surface area of a sphere with a radius of 6cm.

Answers

Volume=904.78
Surface Area=452.39

Amelia needs to buy some dog food. At the nearest​ store, 2 bags of dog food cost $7.50. How much would Amelia spend on 5 bags of dog food?

Answers

Answer: $18.75

Step-by-step explanation: Each bag cost $3.75 individually.

Find the area of the triangle
The area is __yd^2

Answers

Answer:

area of triangle = 4.5*6/2 = 13.5 sq.yd.

Step-by-step explanation:

The area of a right triangle is half of the product of the sides adjacent to the right angle.

Here the sides adjacent to the right angle are 6 yd and 4.5 yd.

Therefore the

area of triangle = 4.5*6/2 = 13.5 sq.yd.

8. How is the graph of log (x - 2) + 1 translated from the graph of log x?
shifted right 2 units and up 1 unit
shifted right 1 unit and down 2 units
shifted left 1 unit and down 2 units
shifted left 2 units and up 1 unit

Answers

Two to the right and one up

If tanΘ = 6/5 and cosΘ < 0, what is sin2Θ?
An explanation on how to solve this problem would be great, thanks!!

Answers

Answer:

[tex]\displaystyle \sin2\theta=\frac{60}{61}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \tan\theta=\frac{6}{5}\text{ and } \cos\theta <0[/tex]

And we want to find the value of sin(2θ).

First, recall that tangent is the ratio of the opposite side to the adjacent side.

Therefore, the hypotenuse is:

[tex]h=\sqrt{6^2+5^2}=\sqrt{61}[/tex]

Next, note that tangent is positive and cosine is negative. Tangent is positive in QI and QIII. Cosine is negative in QII and QIII.

Hence, we can conclude that θ must be in QIII.

In QIII, sine is negative, cosine is negative, and tangent is positive.

And with respect to θ, our opposite side is 6, adjacent side is 5, and the hypotenuse is √(61).

We can rewrite our expression as:

[tex]\sin2\theta=2\sin\theta\cos\theta[/tex]

Using the above information, substitute:

[tex]\displaystyle =2\left(-\frac{6}{\sqrt{61}}\right)\left(-\frac{5}{\sqrt{61}}\right)[/tex]

Simplify. Hence:

[tex]\displaystyle \sin2\theta=\frac{60}{61}[/tex]

help please its math i really need help

Answers

Answer:

m<D = 26

Step-by-step explanation:

Exterior angles thm:

83 + 6x - 4 = 21x + 4

6x + 79 = 21x + 4

6x - 21x = 4 - 79

-15x = -75

x = 5

m<D:

6x - 4

6(5) - 4

30 - 4

26

Please help 1-9 {30 points + brainlist}

Answers

Answer:

1. 3.4

2. 23.4

3. 8

4. 14.25

5. 9.6

6. 6

7. 25

8. 28.8

9. 1.35

I hope this is the right answer key

Step-by-step explanation:

PLS HELL
please tell me the answer and explain how you got it ty

Answers

Answer:

7

Step-by-step explanation:

So basically, there are 4 segments: 15-30, 30-45, 45-60, 60-75.

There is also a list of values.

If these values fall between 15-30, for example, it is considered a freqeuncy of 1.

If a second value also falls between 15-30, it is considered to then have a frequency of 2.

Every value that falls under a range of values, such as 15-30, is counted as a freqeuncy of 1.

So, lets look at 15-30.

There is a freqeuncy of 3.

This means that 3 values were in between 15 and 30,

Now, we need to know how many values were above  30.

This means we do not count values that are in the 15-30 segment.

However, we do want to look at the freqeuncy in 30-45, 45-60, and 60-75.

In 30-45 we have a frequency of 3.

In 45-60 we have a frequency of 2.

In 60-75 we have a frequency of 2.

To find the amount of values above 30, we must add these all together:

3+2+2

=

7

So 7 values have a price above 30!

Hope this helps!

Hope this helps u don’t know how ur teacher thought this is how my teacher thought me

Victoria is designing an image to be projected onto a screen. Her design is shown
below.
Victoria's Design
What is the total area, in square centimeters,
of Victoria's design?
8 cm
4 cm
4 cm
4 cm
10 cm
14 cm
146 centimeters squared
188 centimeters squared
118 centimeters squared

Answers

Answer:

13 ug

Step-by-step explanation:

Victoria is designing an image to be projected onto a screen. Her design is shown

below.

Victoria's Design

What is the total area, in square centimeters,

of Victoria's design?

8 cm

4 cm

4 cm

4 cm

10 cm

14 cm

146 centimeters squared

188 centimeters squared

118 centimeters squared

What is the image point of (2,7) after a translation left 4 units and up 2 units?

Please hurry ASAP no links

Answers

Answer:

Coordinates of the image point → (-2, 9)

Step-by-step explanation:

If a point (x, y) is translated by 'h' units left and 'k' units up then the rule for the translation will be,

(x, y) → (x - h, y + k)

Rule for the translation of a point (2, 7) by shifting 4 units left and 2 units up will be,

(2, 7) → (2 - 4, 7 + 2)

        → (-2, 9)

Coordinates of the image point → (-2, 9)

I NEED HELP PLS i don’t understand exactly how to do this :/

Answers

Answer:

I assume AC = 49.89 since the number is cut off

Step-by-step explanation:

tangent(degree) = opposite / adjacent

To find AC, you can set up tan(29) = AC / CB

tan(29) = AC / 90 (the picture is cutted off, so I assume....)

[tex]90*tan(29)[/tex] = AC

Simplify for ez quick points!

Answers

Answer: 64

Step-by-step explanation: 4x4x4=64

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{4}^3[/tex]

[tex]\large\text{= 4}\times\text{4}\times\text{4}[/tex]

[tex]\large\text{= 16}\times\large\text{4}[/tex]

[tex]\boxed{\large\text{= \bf 64}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 64}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Zendaya has 5/6 yard of wood to make racks for a wood game . Each rack needs to be 1/6 yard long. How many racks can Zend ayah make from her piece wood? Show how you found the answer.

Answers

Answer:

Number of rack made from total wood = 5 rack

Step-by-step explanation:

Given:

Length of wood Zendaya has = 5/6 yard

Length of each rack = 1/6 yard

Find:

Number of rack made from total wood

Computation:

Number of rack made from total wood = Length of wood Zendaya has / Length of each rack

Number of rack made from total wood = [5/6] / [1/6]

Number of rack made from total wood = [5/6][6/1]

Number of rack made from total wood = 5 rack

PLS HELP URGENT ILL GIVE U BRAINLIST!

lim(x --> 3)(-5x^ 2 -2x+4)

A. -47
B. 47
C. 0
D. 3​

Answers

Hi there!

[tex] \large{lim_{x \longrightarrow 3}( - 5 {x}^{2} - 2x + 4)}[/tex]

Simply substitute x = 3 in the expression.

[tex] \large{ - 5 {(3)}^{2} - 2(3) + 4} \\ \large{ - 5(9) - 6 + 4} \\ \large{ - 45 - 6 + 4} \\ \large{ - 47}[/tex]

Questions can be asked through comment.

Furthermore, limit is like substituting a value. Note that limit is about an approaching value. This is a basic limit.

Hope this helps, and Happy Learning! :)

Write a direct proportion equation
that shows the price (y) for any
number of posters (x) that are $2.50
each.
A. y = kx
B. 2.50x = y
C. $2.50 = yx
D. 2.50y = x

Answers

The direct portion equation is B; the variable letter used for the number of posters are x which will cost $2.50 for the fixed amount a person may purchase and it will equal y as it is the letter used to represent the total price

A recipe for lemonade requires 10 parts of water to every 6 parts of lemon juice. How many cups of water should be added to 30 cups of lemon juice to make the lemonade? I dont understand how many "parts" of water = 1 cup

Answers

Answer:

50 cups

Step-by-step explanation:

ratio of water to juice = 10 : 6 = 5 : 3

amount of cup = (5 x 30) / 3 = 50

I NEED HELP PLEASE IT WOULD HELP ME ALOT

Answers

Answer:

62 degrees

Step-by-step explanation:

Every triangle needs to have 180 degrees. Simply you have to add 60+58 which is 118 degrees. Then you subtract 180-118 which equals to 62 degrees.

Find the product: (2 - 3i)(4 + 2i)

Answers

Answer:

(2 - 3i)(4+2i)

(2 x 4)(2 x 2i) (-3i x 4) (-3i x 2i)

8 x 4i x -12i -6i^2

6i^2 - 12i x 32

Step-by-step explanation:

Answer:

6i² - 8i + 8

Step-by-step explanation:

1. Expand Brackets: 8 + 4i - 12i - 6i²

2. Simplify equation: 8 - 8i - 6i²

3. Rearrange: 6i² - 8i + 8

given a set of numbers (0,1,2,3,4,5,6) if one of the set is chosen at random, find the
probability that the number is a solution of 3x-4 < 11

Answers

Answer:

This probability is 5/7

Step-by-step explanation:

Rewriting this problem may make it appear to be more manageable.  

The probability that the number is a solution of 3x-4 < 1 simplies to "x < 5".  

This probability is 5/7, since {0, 1, 2, 3, 4} are all less than 5.

Express $90 as a decimal​

Answers

i think the answer to your question is 90.0
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