A building in the shape of a cube has a width of 30 ft., a length of 30 ft., and a height of 30 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?

Answers

Answer 1

Answer:

Step-by-step explanation:

The height of the scale model is 13.92 feet. (Rounding to the nearest hundredth).

Step-by-step explanation:

These are the measurements of the real building:

Height = 30 feet

Width = 30 feet

Length = 30 feet

Volume of the real building = 30 * 30 * 30 = 27,000 cubic feet

These are the measurements of the scale model:

Volume of the scale model = 10% of 27,000 cubic feet

Volume of the scale model = 0.1 * 27,000 = 2,700 cubic feet

Height = ∛ 2,700 = 13.92 feet (Rounding to nearest hundredth)

Width =  ∛ 2,700 = 13.92 feet (Rounding to nearest hundredth)

Length =∛ 2,700 = 13.92 feet (Rounding to nearest hundredth)

The height of the scale model is 13.92 feet.

Answer 2

Answer:

28,96 ft (round to the nearest hundreds)

Step-by-step explanation:

1) find the volume of the first cube

V = side^3 = 30^3 = 27000 ft^3

2) find the 10% of 27000

27000 / 0,1 = 2700

3) find the volume of the second cube

V = 27000- 2700 = 24300 ft^3

4) find the height

height = ∛24300 = 28,96 ft (round to the nearest hundreds)


Related Questions

what is the opposite of dividing by 2.3

Answers

Answer:

multiplying by 2.3 is the opposite

Pls help with this it’s 3:44 AM for me, I’m in my study room trying to figure out how to solve this and I still didn’t finish My math work cuz I didn’t know howw ( due tomorrow ) and it’s getting rlly late so can u guys help me?? ty <33! please try your best! /spamming!/

Answers

Answer:

1. [tex]\frac{4}{10}[/tex]

2. He used baking soda more than vanilla flavoring. [tex]\frac{7}{8} > \frac{1}{4}[/tex]

3. Giraffes are the herbivores. [tex]\frac{1}{6} < \frac{3}{4}[/tex]

4. Sarai helps more in the school than Josh does. [tex]\frac{3}{8} < \frac{8}{12}[/tex]

5. [tex]\frac{5}{12} < \frac{6}{8}[/tex]

6. [tex]\frac{4}{6} > \frac{2}{5}[/tex]

7. [tex]\frac{7}{10} < \frac{4}{3}[/tex]

ANYONE PLS HELP ASAP!!

Answers

Answer:

the answer your looking for is 2 2/8 pies

Help will give brainliest

Answers

Answer is 15
32-17=15
I think that’s right if we are going by the outliers

In \triangle UVW,△UVW, \overline{VW}\cong \overline{UV}
VW

UV
and \text{m}\angle V = 71^{\circ}.m∠V=71

. Find \text{m}\angle U.m∠U.

Answers

Answer:

m∠U = 54.5°

Step-by-step explanation:

ΔUVW is an isosceles triangle.  The angles opposite UV and VW are congruent.

That means m∠U = m∠W

Since the measures of the angles of a triangle have a sum of 180, then

m∠U + m∠W + m∠V = 180

m∠U + m∠U + 71 = 180

2 m∠U = 109

m∠U = 54.5°

Solve the following quadratic by
completing the square.
f(x) = x2 + 10x - 1

Answers

79 because it simple

the following image is a trapazoid.if XW is congruent YZ and measaure of m = 72 degrees. calculate the measure of X

Answers

Answer:

opposite angle of trapezoid is supplementary

<Z+<X=180°

<X=180°-72°

<x=108°

is your answer

The required value of the measure of the angle x is 108°. Option A is correct.


The following image is a trapezoid. if XW is congruent to YZ and measure of m = 72 degrees. calculate the measure of X is to be determined.

What is angle?

The angle can be defined as the one line inclined over another line.

What is a trapezoid shape?

A trapezoid is defined as a quadrilateral with one couple of opposite sides parallel. the sum of the opposite angles is 180. Only one pair of opposite sides should be parallel not all the sides if all sides are parallel then the shape became a rectangle or rhombus.



Since the sum of the opposite angles in trapezoids is 180°
so,
x + 72° = 180°
x = 180° - 72°
x = 108°

Thus, the required value of the measure of the angle x is 108°.

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ2


Sadi had $5. She spent $3 on school supplies. She wants to exchange the money she has left for quarters for the vending machine. How many quarters will she get?

Answers

Answer:

8

Step-by-step explanation:

one quarter is 25 cents or 1/4 of a dollar therefore 4 quarters = 1 dollar

there are 2 dollars left over because 5-3= 2, so since there are 4 quarters in each dollar she has 8 quarters.

Answer:

8 quarters

Step-by-step explanation:

1 dollar is 25 cents

25 is one fourth of a dollar

Given m||n, find the value of x.

Answers

Answer:

x=16

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

The definition of a transversal says that the two expressions are equal to each other so you can solve the equation:

4x-7=3x+9

x=15

Which option can be modeled by a linear function?

O Adding $2 to a piggy bank each week.

O Lemonade stand profits doubling every week.

O Losing 2% body fat each week.

O Increasing your running speed by 2% each week.

Answers

Answer:

adding $2 to a piggy bank each week

Step-by-step explanation:

just took that checkpoint

what is 1 + 1
if the answer is 2 then why is it 2​

Answers

You have 1 pencil and then your mom gives you 1 pencil so now you have 2 pencils. 1+1=2

A candy bar in the shape of a triangular prism has a length of 11 inches. The area of the base of the candy is 1.5 square inches. What is the volume of the candy in cubic inches?

Answers

Answer:

6.5

Step-by-step explanation:

Gigi earned $65 for 5 hours of gardening. She earned $90 for 9 hours of office work. Which statement correctly compares Gigi’s earning per hour for gardening and office work?

Answers

Answer:

Even though you did not add choices, she makes more gardening.

Step-by-step explanation:

65 / 5 is 13, so she makes $13 an hour while gardening.

90 / 9 is 10, so she makes $10 an hour while doing office work.

Answer:

The answer is A take my word for it brodies i swear

Step-by-step explanation:

Verify that a + ( b + c) = (a + b) + c , a = (-12) , b = 4 , c = (-25)

Answers

Answer:

a + (b + c) = (a + b) + c

Step-by-step explanation:

a= (-12), b = 4, c = (-25)

[tex](12) + (4 + ( - 25)) = ( - 12 + 4) + ( - 25) \\ - 33 = - 33[/tex]

Answer:

GIVEN :-

a = -12b = 4c = -25

TO VERIFY :-

a + (b + c) = (a + b) + c

SOLUTION :-

Find the values of L.H.S. & R.H.S.

L.H.S. :-

Put all values in → [tex]\boxed{a+(b+c)}[/tex]

⇒ -12 + [4 + (-25)]

⇒ -12 + (4 - 25)

⇒ -12 + (-21)

⇒ -12 - 21

⇒ -33

R.H.S. :-

Put all values in → [tex]\boxed{(a+b)+c}[/tex]

⇒ (-12 + 4) + (-25)

⇒ -8 - 25

⇒ -33

CONCLUSION :-

L.H.S. = R.H.S.

⇒ a + (b + c) = (a + b) + c

ASAP

AND HOW DID YOU GET THE ANSWER

Answers

B as a complementary means that the angles add up to 90 degrees but angles on a straight line add up to 180 degrees, as none of the angles are both smaller than a right angle nor bigger they cannot both be obtuse or acute

Hope this helps :)

Can y’all help me fin the height

Answers

4 is the height...
The width is 2.5
The length is 2+2.5=4.5
The volume is 45
So, we input:
45/4.5*2.5 (V/LW) to find the height

what are the next two terms in the sequence?: 1, -2, 4, -8​

Answers

Answer:

         16 and -32    

Step-by-step explanation:

-2÷1 = -2

4÷(-2) = -2

-8:4 = -2

So this is a geometric sequence with a common ratio of -2

Therefore:

the 5th term:   -8×(-2) = 16

the 6th term:   16×(-2) = -32

hello please help prize is brainliest

Answers

Answer:

1.) Four

2.) Six

3.) Three

Step-by-step explanation:

Can i get brainliest im one away from becoming an expert

HELP PLEASE WILL LEAVE GOOD RATING

Answers

Answer:

that would be 200 to 2,000 feet in the air

I will give brainiest

Answers

Answer:

I think it's 6,800 in3 I don't know perfectly whether it is correct answer or not

James bought 12 cookies and ate 3 of them. He ate __ % of the cookies. (Make sure to enter the answer using numbers only. Do not enter special characters such as the percent symbol.)
Blank 1:

Answers

Answer:

James ate 25% of the cookies

I need help with number 6, please, thank you

Answers

Answer:

SA =12.

Step-by-step explanation:

In a parallelogram the diagonals bisect each other , so:

2x - 1 = x + 7

2x - x = 7 + 1

x = 8.

QS = x + 4 = 8 + 4

= 12.

But QS = SA, so SA =12.

Can someone please help me!

Answers

Answer:

Answer :-

Option D :- (180 - 2x)°

Hope it helped :)

where dose this number go on the number line?

Answers

it would go after four as it equates to about 4.2

Answer:

in between 4.1 and 4.3

Step-by-step explanation:

HELPPPPPPP
PLS.
HELP.
-Elizabeth R.
-YT: Lizzy Playz (with an anime girl icon with glasses)
-Dis Cord: Your.Local.Lizzy.Afton

Answers

well, its just area ez. 3.8x3.8=14.44

Answer:

14.44ft^2

Step-by-step explanation:

3.8ft x 3.8ft

What are some sources of new mathematical symbols that have been widely used?

Answers

the sum of three cubes

I really need help lol...you get 81 POINTS!!!!!!!!!!!!!!!!!!

Answers

Answer:

area = 82 cm²

Step-by-step explanation:

The figure comprises a trapezoid, a triangle and a square.

Calculating areas of the three shapes separately and then adding them will give us the required area of the composite figure.

Area of square : (side)²

= (2)²

= 4 cm²

Area of triangle : ½ × b × h

= ½ × 3 × 12

= 3 × 6

= 18 cm²

Area of trapezoid : ½ × (a + b) × h

= ½ × (5+5) × 12

= ½ × 10 × 12

= 5 × 12

= 60 cm²

Now, area of the composite figure :

= 4 + 18 + 60

= 22 + 60

= 82 cm²

Answer:

82 cm²

Step-by-step explanation:

If you exclude the square on the bottom, you have a trapezoid with bases of 5 cm and 8 cm and the height of 12 cm.

Its area is:

A = (5 + 8)*12/2 = 78 cm²

Add the area of the square with sides of 2 cm:

A = 2*2 = 4 cm²

Total area is:

A = 78 + 4 = 82 cm²

which can't be lenght side of triangle

Answers

Answer:

C. sides of 3, 4 and 7

can't form a triangle.

the longest side (7) must be shorter than the sum of the other 2 sides.

Step-by-step explanation:

A circle has a radius of 6 feet. Calculate the area of the
sector formed by a central 30° angle

Answers

Answer:

The area of the sector is 9.43 ft^2

Step-by-step explanation:

Here, we want to find the area of the sector with a central angle of 30 degrees

To do this, we use the formula below;

Area of sector = theta/360 * pi * r^2

theta = central angle = 30 degrees

r = radius = 6 ft

Thus, we have it that;

Area of sector = 30/360 * pi * 6^2

= 30/10 * pi = 3 * 3.142 = 9.43 ft^2

how to find the measure of the obtuse angle

Answers

Make them equal to 180
23x+68x-2=180
X=2

Justify: Same side interior angles

Answer:

Measure of obtuse angle is 134 degrees

Step-by-step explanation:

these two angles are supplementary so they add up to 180

68x-2 +23x=180

91x-2=180

91x = 182

x = 2

plug in x

68 (2) -2 = 134

23 (x) = 46

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