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olga2289 [7]
3 years ago
12

Lucia made a scale drawing of a game room. The pool table is 3 inches long in the drawing. The actual pool table is 9 feet long.

What scale did Lucia use?
1 inch : _____feet
Mathematics
1 answer:
Murrr4er [49]3 years ago
3 0
3 feet is equal to 1 inch if she measured 3 inches to equal 9 feet
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Express the edge length of a cube as a function of the cube's diagonal length d. Then express the surface area & volume of t
Lorico [155]
D = sqrt(3s^2) where s is the length of the side. Solving for s, 

<span>3s^2 = d^2 iff </span>
<span>s^2 = d^2 / 3 iff </span>
<span>s = sqrt(d^2 / 3) </span>
<span>= d / sqrt(3) or d sqrt(3) / 3 </span>

<span>Surface area of the cube = 6 s^2. Thus, </span>
<span>A = 6 (d / sqrt(3))^2 </span>
<span>= 6d^2 / 3 </span>
<span>= 2d^2 </span>

<span>Volume = s^3. Thus, </span>
<span>V = (d / sqrt(3))^3 </span>
<span>= d^3 / 3sqrt(3) </span>
<span>= d^3 sqrt(3) / 9</span>
8 0
3 years ago
Read 2 more answers
Caleb wants to work as a dog walker. One client offers him $10 per day to walk his dog Puff, and wants Caleb to walk Puff every
aksik [14]

Answer:

he will earn more from walking Puff

Step-by-step explanation:

if he is walking Puff for ten dollars 7 days a week, thats 70 dollars.

the other dog would get him 60 dollars a week.

8 0
3 years ago
I cut a long piece of wood into 50cm pieces. I manage to cut
ehidna [41]

Answer:

WoodLength = 50w + 20

Step-by-step explanation:

Given

Length of Pieces = 50cm

Number of Pieces = w

Left over = 20cm

Required

Determine the length of the wood

Start by multiplying the number of pieces by the length of each pieces

Result = Length * Number

Result = 50 * w

Result = 50 w

Lastly, add the leftover to get the actual length of the wood

Wood Length = Result + Leftover

Substitute 50w for Result and 20 for Leftover

WoodLength = 50w + 20

<em>Hence, the length of the wood is 50w + 20</em>

5 0
3 years ago
Describe and correct the error in writing the value of the product. 2 x 2 x 2 x 2 = 4²
OverLord2011 [107]

Answer:

2⁴

Step-by-step explanation:

4² would be 4x4 not 2x2x2x2

2x2x2x2 would be 2⁴.

6 0
3 years ago
Please help!
UkoKoshka [18]

The values of x in the triangles and the angles in the rhombus are illustrations of tangent ratios

  • The values of x in the triangles are 21.4 units, 58 degrees and 66 degrees
  • The angles in the rhombus are 44 and 46 degrees, respectively

<h3>How to determine the values of x?</h3>

<u>Triangle 1</u>

The value of x is calculated using the following tangent ratio

tan(25) = 10/x

Make x the subject

x = 10/tan(25)

Evaluate

x = 21.4

<u>Triangle 2</u>

The value of x is calculated using the following tangent ratio

tan(x) = 8/5

Evaluate the quotient

tan(x) = 1.6

Take the arc tan of both sides

x = arctan(1.6)

Evaluate

x = 58

<u>Triangle 3</u>

The value of x is calculated using the following tangent ratio

tan(x) = 0.34/0.15

Evaluate the quotient

tan(x) = 2.27

Take the arc tan of both sides

x = arctan(2.27)

Evaluate

x = 66

<h3>How to calculate the angles of the rhombus?</h3>

The lengths of the diagonals are:

L1 = 2 in

L2 = 5 in

Represent the angles with x and y.

The measures of the angles are calculated using the following tangent ratios

tan(0.5x) = 2/5 and y = 90 - x

Evaluate the quotient

tan(0.5x) = 0.4

Take the arc tan of both sides

0.5x = arctan(0.4)

Evaluate

0.5x = 22

Divide by 0.5

x = 44

Recall that:

y = 90 - x

This gives

y = 90 - 44

Evaluate

y = 46

Hence, the angles in the rhombus are 44 and 46 degrees, respectively

Read more about tangent ratio at:

brainly.com/question/13347349

5 0
2 years ago
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