A building in a shape of a cube has a width of 100 ft., a length of 100 ft., and a height of 100 ft. An architect wants to build a scale model of the building that is 10% smaller in volume. What is the height of the new building? Round to the nearest hundredth.

A) 90.75 ft.
B) 95.25 ft.
C) 96.55 ft.
D) 99.25 ft.

Answer:

Step-by-step explanation:

1 foot = 12 inches

12 inches/ 48 inches = 1/4 foot

or  1 foot/4 feet = 1/4 foot

Step-by-step explanation:

Divided by zero is undefined. Hence B is the answer.

Answer:

the answer is B

Step-by-step explanation:

A number divided to 0 is undefined

Answer:

218

Step-by-step explanation:

No. of male students = [tex]\frac{45}{100}[/tex] × 800

                                   = 360

No. of male students that play varsity sports = [tex]\frac{30}{100}[/tex] × 360

                                                                          = 108

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No. of female students = 800 - 360

                                      = 440

No. of femal students who play varsity sports = [tex]\frac{25}{100}[/tex] × 440

                                                                            = 110

Total no. of students who play varsity sports = 108 + 110

                                                                          = 218

Answer:

The right answer is Option 2:

[tex]y+6 = -\frac{3}{4}(x-2)[/tex]

Step-by-step explanation:

Point-slope form of equation of a line is given by:

[tex]y-y_1 = m(x-x_1)[/tex]

Here m is slope of the line and (x1,y1) is the point from which the line passes.

Given

Slope = m = -3/4

Point = (x1,y1) = (2,-6)

We simply have to put these value into the general form of equation of line in point-slope form

[tex]y-(-6) = -\frac{3}{4}(x-2)\\y+6 = -\frac{3}{4}(x-2)[/tex]

Hence,

The right answer is Option 2:

[tex]y+6 = -\frac{3}{4}(x-2)[/tex]

Answer: 48 litros.

Step-by-step explanation:

El recipiente está inicialmente lleno, definamos esta cantidad como X.

Se extrae un tercio, entonces lo que queda en el recipiente son dos tercios de la cantidad inicial, esto es:

(2/3)*X

Luego se extrae (1/4) de esta cantidad, eso quiere decir que queda (3/4) de esta cantidad, entonces lo que queda es:

(3/4)*(2/3)*X = (2/4)*X = (1/2)*X

Luego se agrega un litro, entonces tenemos:

(1/2)*X + 1 L

Sabemos que esta cantidad es igual a 25 L, entonces:

(1/2)*X + 1 L = 25 L

Resolvamos esto para X

(1/2)*X = 25 L - 1 L = 24 L

X = 2*24 L = 48 L

La cantidad que puede contener el contenedor son 48 litros.

Answer:

.00009494949

Step-by-step explanation:

this may be wrong

Answer

x, y

0, -4

1, -1

2, 2

3, 5

please click heart to give thanks :)

Answer:

Answer

x, y

0, -4

1, -1

2, 2

3, 5

Step-by-step explanation:

there's the math

Answer:

1 1/6 liters of water

Answer:

.    。    •  　ﾟ  。  　.

 　.      .    　。   。  

.   。      ඞ 。 .    •      

　ﾟ   -3.5 was the answer.  。　.

 '    1 Impostor remains    　。

 ﾟ  　.  　. ,    .  .

Step-by-step explanation:

6x + 9 = -12

      -9    -9

6x = -21

Divide -21 by 6

x = -3.5

Yes, The preimage and the image have the same shape and size.

The reflection of an object across an axis is creating an image that has the same shape and size.

A triangle ABC is reflected over the x-axis to form A'B'C'

When reflected over an axis, the coordinate of the other axis is changed to its additive inverse.

(x,y)-------> (x,-y)

Let the coordinate of the triangle is  (1,1),(3,5),(3,1)

The image of the triangle when reflected over x-axis is

(1,1),(3,5),(3,1)       ------------->    (1,-1),(3,-5),(3,-1)

The shape of a right-angled triangle is the same in the image, the length of the side is same, it is just an image of the same shape and size.

The figure is attached with the answer.

To know more about Reflection

https://brainly.com/question/15487308

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Answer:

D

Step-by-step explanation:

-1,3

4,-7

-7-3=-10

4--1=5

-10/5=-2

Answer:

(-f+v) = -13i-15j

Step-by-step explanation:

Given that,

Vector f = (10,5) = 10i+5j

Vector v = (-3,-10) = -3i-10j

We need to find (-f+v).

Let x = (-f+v)

Plug all the values,

x = [-(10i+5j) + -3i-10j]

= (-10i-3i)+(-5j-10j)

= -13i-15j

Hence, (-f+v) = -13i-15j

Answer:

its B. 0.0563 and 0.0564

Answer:

I'm so sorry about your situation! The answer would be D

Step-by-step explanation:

5.634 times 10^(2)= 563.4

Answer:

-x -y = 5

Step-by-step explanation:

the Answer will be 5

Answer:

XZ = 14

Step-by-step explanation:

x+2 = 2x-3

-1x from both sides

2 = x - 3

+3 to both sides

5 = x

(plug in x for XM and MZ equations)

(5 + 2) + ((2×5) - 3)

7 + 7 = 14

The numerical length of XZ = 14

We have a Line Segment XZ such that M is mid - point of XZ.

We have to determine the length of XZ.

The mid - point of a line segment is a point on a line that divides it into two equal parts.

According to question, we have -

XM = x + 2

MZ = 2x - 3

Since, M is the mid - point of XZ, therefore -

XM = MZ

x + 2 = 2x - 3

2 + 3 = 2x - x

x = 5

Now -

XZ = XM + MZ

XZ = x + 2 + 2x - 3

XZ = 5 + 2 + 10 - 3

XZ = 14

Hence, the numerical length of XZ = 14.

To solve more questions on Lines and Lengths, visit the link below -

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Answer:

Symmetric Property of Congruence

Step-by-step explanation:

Reflexive:

A ~= A

B ~= B

Symmetric:

A ~= B then B ~= A

Transitive:

If A ~= B and B ~= C, then A ~= C

Answer:

Length = 178 yards and Breadth = 46 yards

Step-by-step explanation:

The perimeter of the rectangular field is 448 yards

Let the width is b and the length of the field is (4b-6) yards

We need to find the dimensions of the playing field. We know that the perimeter of a rectangle is given by :

P = 2(l+b)

ATQ,

[2((4b-6)+b)] = 448

2(5b-6) = 448

5b-6 = 224

5b = 230

b = 46 yards

Length = (4b-6)

= 4(46) - 6

= 178 yards

Hence, the length and breadth of the field is 178 yards and 46 yards respectively.

Step-by-step explanation:

Since Angle DAE = Angle BCE, lines AD amd BC are parallel (by Z-angles).

This means that Angle ADE = Angle CBE (by Z-angles).

We have 2 congruent angles and 1 congruent side (AD = BC, given).

By ASA congruence, triangles AED and CEB are congruent.

B.P. Mathur v. Union Of India

Answer:

A: It would be 24 points per game.

B: It would be 15 points per game

C: 33.33%

Step-by-step explanation:

A explanation:

100% of 12 is 24

12 + 12 = 24

B explanation:

25% of 12 = 3

12 + 3 = 15

C explanation:

12/18 = 66.66%

100 - 66.66 = 33.33%

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Answer:

[tex]Diameter = 11.28[/tex]cm  --- (a)

[tex]Diameter =22.58[/tex] cm  --- (c)

Step-by-step explanation:

Only (a) & (c) are clear enough to be solved. Others are not properly presented.

Use the following explanations of (a) & (c) to answer others.

[tex]a.\ Area = 100cm^2[/tex]

Area is calculated as:

[tex]Area = \pi r^2[/tex]

Substitute 100 for Area

[tex]100 = \pi r^2[/tex]

Take π as 3.14. So, the expression become

[tex]100 = 3.14 r^2[/tex]

Divide both sides by 3.14

[tex]\frac{100}{3.14} = \frac{3.14 r^2}{3.14}[/tex]

[tex]\frac{100}{3.14} = r^2[/tex]

[tex]r^2 = \frac{100}{3.14}[/tex]

[tex]r^2 = 31.847133758[/tex]

Solve for r

[tex]r = \sqrt{31.847133758[/tex]

[tex]r = 5.64[/tex]

But diameter = 2 * radius

So:

[tex]Diameter = 2 * 5.64[/tex]

[tex]Diameter = 11.28[/tex]

[tex]a.\ Area = 400cm^2[/tex]

Area is calculated as:

[tex]Area = \pi r^2[/tex]

Substitute 400 for Area

[tex]400 = \pi r^2[/tex]

[tex]400 = 3.14 r^2[/tex]

Divide both sides by 3.14

[tex]\frac{400}{3.14} = \frac{3.14 r^2}{3.14}[/tex]

[tex]\frac{400}{3.14} = r^2[/tex]

[tex]r^2 = \frac{100}{3.14}[/tex]

[tex]r^2 = 127.388535032[/tex]

Solve for r

[tex]r = \sqrt{127.388535032[/tex]

[tex]r = 11.29[/tex]

But diameter = 2 * radius

So:

[tex]Diameter = 2 * 11.29[/tex]

[tex]Diameter =22,58[/tex]

Answer: 100 rides are needed to break even.

Step-by-step explanation:

C(x)=15x+2000 - x is the number of rides.

R(x)=35 x , where x is the number of rides

35x=15x+2000

35-15x=2000~subtract 15x from both sides~

20x=2000 ~simplify~

x=2000/20 ~dividing both sides by 20~

x=100

Step-by-step explanation:

The constant of proportionality is y / x = 4 / 2 = 8 / 4 = 2.

Answer:

The constant of proportionality is y / x = 4 / 2 = 8 / 4 = 2.

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

-31

Step-by-step explanation:

hope this helped! <3

Answer:

Step-by-step explanation:

sinA = sinB

  a         b

sin(117) = sin(12)

   a             12

a * sin(12) = 12 * sin(117)

a = 12 * sin(117)

         sin(12)

a = 51.4

Answer:

-4/6, -8/12, -16/24, etc. look at the picture.

Step-by-step explanation:

Brainliest Please!!! Also, Tip: show the multiple choice options.

Answer:

4/6

Step-by-step explanation: