Prism A is a dilation of Prism B. The height of Prism A is 6 1/2 ft, and the volume of Prism A is 87 3/4 ft³. The height of Prism B is 3 1/4 ft.

What is the volume of Prism B?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer 1

The volume of the dilated Prism B is about 10 31/32 ft³

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The height of Prism A is 6 1/2 ft, and The height of Prism B is 3 1/4 ft.

The dilation factor = 3 1/4 ft. ÷ 6 1/2 ft = 0.5

Volume is the product of three sides.

The volume of prism B = Volume of prism A * (dilation factor)³ = 87 3/4 ft³ * (0.5)³ = 10 31/32 ft³

The volume of the dilated Prism B is about 10 31/32 ft³

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Answer 2

Answer:

The answer is [tex]10\frac{2}{25}[/tex].

Step-by-step explanation:


Related Questions

A deck of cards have suits spade, diamonds, clubs, and hearts. There are 13 of each suit Ace, 2,3,4,5,6,7,8,9,10, jack, queen, and king. What is the probabililty of choosing a King from a standard deck?

Answers

Answer:

1 out of 13

Step-by-step explanation:

PLEASE HELP ASAP
What is 7/8 expressed as a percent? Enter your answer as a decimal in the box.​

Answers

0.875 would be the decimal

Answer:

87.5

Step-by-step explanation:

I am trying Find the surface area of a prism or cube and it only has 3.5

Answers

Surface Area of Cube = width^2 * 6 (sides of the cube)

Therefore, (3.5)^2 * 6 =

73.5 [whatever units]^2

Answer what the picture is asking.

Answers

Answer:

Step-by-step explanation:

-17x+44=180

-17x=136

x=-8

Top right angle = -4(-8)+5=37

Bottom Left angle=-13(-8)+39=143

The length and the breadth of a rectangle are 40 m and 30 m respectively. If its perimeter = perimeter of a square. Find the side of the square

Answers

Answer:

above is the solution to the question

please help find the point of intersection (ordered pair)
x + 2y=3
2x - 4y = -20

Answers

Answer:

Check out Tiger algebra

it gave me

Slope=-2.000/2.000=-1.000

x - intercept = 3/1 = 3.00000

y - intercept = 3/2 = 1.50000

and

Slope=1.000/2.000=0.500

x - intercept = 10/1 = 10.00000

y - intercept  = 10/2 = 5

It requires nothing.

If x = 8 and y = -3, evaluate the following expression: 20 - 5y + 2x​

Answers

Answer:

51

Step-by-step explanation:

Given the following question:

[tex]20-5y+2x[/tex]
[tex]x=8[/tex]
[tex]y=-3[/tex]

Substitute and solve using PEMDAS:

[tex]20-5y+2x[/tex]
[tex]20-5(-3)+2(8)[/tex]
[tex]5\times-3=-15[/tex]
[tex]20--15+2(8)[/tex]
[tex]2\times8=16[/tex]
[tex]20-(-15)+16[/tex]
[tex]20--15=35[/tex]
[tex]35+16=51[/tex]
[tex]=51[/tex]

Your answer is "51."

Hope this helps.


Find the area of trapezoid ABCD by decomposing it into a rectangle and triangle.
A)80 cm^2
B)96 cm^2
C)104 cm^2
D)112 cm^2

Answers

Answer: C) 104 cm^2

Area of right triangle: 1/2 x 6 x 8 =24

Area of rectangle: 8 x 10 = 80

Add both areas get = 104cm

Answer:

c) 104

Step-by-step explanation:

A box contains 5 red, 3 white, and 2 blue marbles. A sample of six marbles is drawn with replacement; that is, each marble is replaced before the next marble is drawn. Find the probability that: (a) 3 are red, 2 are white, 1 is blue, (b) 2 are red, 3 are white, 1 is blue, (e) 2 of each color appear

Answers

Answer:

i dont know but i'll try

Step-by-step explanation:

10-6=4

2 each color

i think because if you divide 4 divided by 2 is 2.

SO i thought wait oh no dont copy this rate it as bad as you want but im just a ---- grader

if danielle still drove 24 miles on the eight day how many miles would tim need to drive to make the median amount of miles that tim and danielle drove the same?

Answers

Answer:

the answer would be she would drive 192 miles

10 y + 4 = 0
A) x - y=0
C) -y=-4
B) y=-4
D) x + y = 0

Answers

Answer:

B) y = -4

Step-by-step explanation:

When rearranging an equation we divide, multiply, subsract, add the same things to both sides of the equation.

So here we would - 4 from both sides to give:

y + 4 - 4 = 0 - 4

This would simplify to:

y = -4

Judy and Amna are on a safari. They are standing 20 feet apart when they spot a snake. Judy and Amna run in opposite directions at speeds of 180 feet per minute and 120 feet per minute, respectively. In how many minutes will they be 2420 ft apart?

Answers

Answer = 8 mins
The solution is in the pic

Using proportions, it is found that Judy and Amna will be 2420 ft apart after 8 minutes.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

They run in opposite directions, at speeds of 180 feet per minute and 120 feet per minute, respectively, hence each minute they get 180 + 120 = 300 feet apart.

They already are 20 feet apart, so they will need to get more 2420 - 20 = 2400 ft apart. Hence:

1 minute - 300 ft apart.

x minutes - 2400 ft apart.

Applying cross multiplication:

300x = 2400

x = 8.

Judy and Amna will be 2420 ft apart after 8 minutes.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ2

In the basketball game, Rachel scored 6 points less than twice the number of points Trina scored. Trina scored 9 points. How may points did Rachel score.

Answers

Answer:

Rachel scored 12 points in total

Explanation:

You must first multiply 9x2 which equals 18. Now you'll need to subtract  18-6 which equals 12. Therefore, Rachel scored 12 points in total.

I hope this helps! ^-^

Please help with this question (I will mark brainliest) Thank u >u<

A turtle population that started at 368 has begun to decrease by 7 percent each month. Which equation below could be used to model this situation?

Answers

Answer:

Im Not 100% but, I will give you the best answer.

I think it might be Option 3

If not, (give me 1 star)

I tried

Step-by-step explanation:

Which expression shows a sum of five terms? (3 points)

5(x + 5)
5x
x5
5 + x + 5 + x + x
5.

Answers

Answer:

5 + x + 5 + x + x

Step-by-step explanation:

We are given 4 expressions and we have to determine which expressions shows a sum of five terms.

We use the process of elimination:

5(x + 5)

=5x+25  (distributing 5)

This contains sum of only two terms, eliminate.

5x

It contains only 1 term, eliminate.

5 + x + 5 + x + x

It contains 5 terms 5,x,5,x and x, KEEP!

5.

Only contains 1 term, eliminate.

With this said, were left with:

5 + x + 5 + x + x

Which is the correct answer! :)

Worth 10 points please help me

Answers

Answer:

x = 100°

Step-by-step explanation:

40 + 40, the bottom two angles, = 80. a triangle has 180 degrees in total. 180 - 80 = 100. the missing angle of the bottom triangle is 100. since the bottom 100 is a vertical angle to the x, x must equal 100 degrees

Solve the following:


(i)20 ÷7

(ii) 22÷7​

Answers

Answer: i) 2.85714285714, ii) 3.14285714286

Step-by-step explanation:

i) 20/7 = 2.85714285714

ii) 22/7 : This is an approximation for pi. it comes to: 3.14285714286

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS

Answers

Answer:

b

Step-by-step explanation:

Answer:

(-1, -1)

explanation:

The value of y will be negative and x value shall be same.

Here the original coordinates of A: (-1, 1)

So new coordinates: (-1, (-)1) = (-1, - 1)

Which number is not in scientific notation? (1 point)

0.2 • 10^3
3 • 10^28
1.03 • 10^–2
1.5 • 10^–6

Answers

Answer:

Hi I'm always here to help!!!

_______________________

Ah welp that was wrong it was A

Sorry that I was wrong

_______________________

Have a great day!!!!

Answer:

Your answer would be:
A.) 0.2 x 10^3

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

circle A has a diameter of 9 cm. Circle b has a radius of 5 cm

Which circle has the larger circumference ?explain your reasoning

About how many centimeters larger is it?explain your reasoning

Answers

Answer:

Circle B has a larger circumference.

Step-by-step explanation:

Circumference of a circle is the diameter times pi.

C = pi•d

Circle B has radius 5, so its diameter is 10. Circle A has diameter of 9. A larger diameter will give a larger circumference.

C_circle A = 9pi

~= 28

While,

C_circle B = 10pi

~= 31

Circle B's circumference is about 3 cm larger. More accurately it's 1pi larger.

[tex]\frac{x^{2} -1}{16x} X \frac{4x^{2} }{5x + 5}[/tex]

Answers

Answer:

x^2-x / 20

Step-by-step explanation:

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

[tex]\begin{gathered}\\\implies\quad \sf \frac{x^{2} -1}{16x} \times \frac{4x^{2} }{5x + 5} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf \frac{\cancel{(x+1)}(x-1)}{16x} \times \frac{4x^{2} }{5\cancel{(x + 1)}} \quad\quad(a^2-b^2 = (a+b)(a-b))\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf \frac{x-1}{\cancel{16x}} \times \frac{\cancel4x^{\cancel2} }{5} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf \frac{(x -1)(x)}{4\times 5} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf \frac{x^2-x}{20} \\\end{gathered} [/tex]

More Identities:-

[tex]\begin{gathered}\boxed{\sf{ {(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \: }} \\ \end{gathered}[/tex]

[tex]\begin{gathered}\boxed{\sf{ {(a - b)}^{2} = {a}^{2} + {b}^{2} -2ab \: }} \\ \end{gathered}[/tex]

[tex]\begin{gathered}\boxed{\sf{ {x}^{2} - {y}^{2} = (x + y)(x - y) \: }} \\ \end{gathered}[/tex]

[tex]\begin{gathered}\boxed{\sf {(a + b)² = (a - b)² + 4ab\: }} \\ \end{gathered}[/tex]

[tex]\begin{gathered}\boxed{\sf {(a - b)² = (a + b)² - 4ab\: }} \\ \end{gathered}[/tex]

[tex]\begin{gathered}\boxed{\sf {(a + b)² + (a - b)² = 2(a² + b²)\: }} \\ \end{gathered}[/tex]

[tex]\begin{gathered}\boxed{\sf{ (a + b)³ = a³ + b³ + 3ab(a + b)\: }} \\ \end{gathered}[/tex]

[tex]\begin{gathered}\boxed{\sf {(a - b)³ = a³ - b³ - 3ab(a - b)\: }} \\ \end{gathered}[/tex]

I just need help with this pls

Answers

Answer:

Option D

Step-by-step explanation:

Hello!

Recall the quadratic equation: [tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]

Remember that a quadratic equation is written in the form [tex]ax^2 + bx + c\\[/tex]

So:

a = 2b = 5c = -1

Plug the values in and solve:

[tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{-5\pm\sqrt{5^2 - 4(2)(-1)}}{2(2)}$\\\\x = $\frac{-5\pm\sqrt{25 +8}}{2(2)}$\\\\x = $\frac{-5\pm\sqrt{33}}{4}[/tex]

This would be [tex]\boxed{\text{Option D}}[/tex]

The angles in a triangle are in the ratio 1:2:3.
a) Show that the triangle is a right-angled triangle.

Answers

Answer:

Step-by-step explanation:

Remark

The angles can measure

x + 2x + 3x

The total must be 180 degrees because all triangles have 180 degrees

Equation

x + 2x + 3x = 180          Combine

6x = 180                        Divide by 6

6x/6 = 180/6

x = 30

1x = 30

2x = 60

3x = 3*30 = 90

A right angle triangle has 90 degrees.

Josephine is constructing a circle circumscribed about triangle XYZ. She uses the following sequence of steps to construct the circle.
1. She constructs the perpendicular bisectors of two sides.
2. She finds their point of intersection, P.
3. She uses a compass, with the fixed end on X, to draw a circle passing through point P.
Did Josephine make any errors while constructing the circle?
OA. Yes, she should have placed the compass with the fixed end on P and drawn a circle through point x.
OB. No, she did not make any errors.
OC.
Yes, she should have constructed the angle bisectors.

OD.
Yes, she should have found the perpendicular bisectors of all 3 sides.

Answers

Answer:

A

Step-by-step explanation:

there is not much more to say.

the point where actually all 3 line bisectors intersect, is also called the "circumcenter". I guess you understand what that means : it is the center of the circle circumscribing the whole triangle (passing through all 3 corners/vertices).

once you find that point with 2 line bisectors, there is no need to construct the third - it WILL intersect the others at the same point.

Answer:

A

Step-by-step explanation:

What is the value of m in the equation {m-in
-n = 16, whеn n = 8?
o20
032
оооо
44
48

Answers

Answer:

m = 24

Step-by-step explanation:

if i'm wrong sorry not that good with math

Three sisters, whose average age is 10, all have different ages. When they get together in pairs, the average ages of two such pairs are 11 and 12. What is the age of the eldest sister?

Answers

The age of the eldest sister is 16 years.

What is an equation?

An equation is used to show the relationship between two or more variables and numbers.

Let x represent the age of the older sister and y, z represent the other sisters ages.

Three sisters, whose average age is 10, all have different ages. Hence:

(x + y + z)/3 = 10    (1)

Also, When they get together in pairs, the average ages of two such pairs are 11 and 12, hence:

(x + y)/2 = 11    (2)

(x + z)/2 = 12    (3)

From equation 1, 2 and 3:

x = 16, y = 6, z = 8

The age of the eldest sister is 16 years.

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e
Which describes the horizontal cross section of
the given right rectangular prism?
A. A rectangle with dimensions of 15 inches and 16
inches.
B. A rectangle with dimensions of 15 inches and 7
inches.
C. A rectangle with dimensions of 9 inches and 15
inches.
D. A rectangle with dimensions of 9 inches and 7
inches.

Answers

The horizontal cross section of a rectangular prism would have the same shape and size as the rectangular base.

What is a prism?

A prism is a three dimensional shape with two parallel bases of the same shape and the other faces which are quadrilateral.

A rectangular prism has the shape of a cuboid. The horizontal cross section of a rectangular prism would have the same shape and size as the rectangular base.

Find out more on prism at: https://brainly.com/question/23963432

6. If the mean of A and B is 20, the mean of B and C is 24 and the mean of A, B and C is 18. What is the mean of A and c?​

Answers

Answer:

10

Step-by-step explanation

[tex]\frac{a+b}{2}=20\\\frac{b+c}{2}=24\\ \frac{a+b+c}3}=18\\[/tex]

20x2 = 40 -> a+b=40

24x2 = 48 -> b+c=48

18x3 = 54 -> a+b+c=54

solve the equations...

a=6

b=34

c=14

a+c/2 = 6+14/2 = 10

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!
(07.06) y ≤ 27. Which of the following statements is the best way to describe the value of y? The value of y is less than 27. The value of y is greater than 27. The value of y is at most 27. The value of y is at least 27.

Answers

Answer : The value of y is less than 27

07.06 y ≤ 27
Divide through by 07.06
y ≤ 27/07.06
y ≤3.824

And this is read as y is less than or equal to 3.824

Looking at this , from the options the best way to describe y is
The value of y is less than 27 because the greatest possible value of y is 3.824

Calculate the simple interest earned as a amount R1400 at an annual interest rate 6.5% over 3 years?

Answers

Answer:

principle (p)=Rs1400

Rate(R)=6.5

time(T)=3

we know that

I=P×I×T/100

=1400×6.5×3/100

=273

therefore the simple interest earned is Rs273

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