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Illusion [34]
2 years ago
14

: Kenneth measured a hotel and made a scale drawing. The scale he used was 1 inch =4 feet. The actual length of a room in the ho

tel is 20 feet. How long is the room in the drawing? ​
Mathematics
1 answer:
natulia [17]2 years ago
8 0

The room is 5 inches long in the drawing.

Step-by-step explanation:

Given,

Scale drawing used by Kenneth;

1 inch = 4 feet

Ratio of scale = 1:4

Actual length of room = 20 feet

Let,

x be the length in drawing

Ratio of actual length = x:20

Using proportion

Scale ratio :: Actual ratio

1:4::x:20

Product of mean = Product of extreme

4*x=20*1\\4x=20

Dividing both sides by 4

\frac{4x}{4}=\frac{20}{4}\\x=5

The room is 5 inches long in the drawing.

Keywords: ratio, proportion

Learn more about proportion at:

  • brainly.com/question/2977815
  • brainly.com/question/3071107

#LearnwithBrainly

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What is 0.8%of $5,700?
EastWind [94]

Answer: 0.8% of 5,700 = <u><em>45.6 </em></u>

Step-by-step explanation:

0.8% × 5,700 =

(0.8 ÷ 100) × 5,700 =

(0.8 × 5,700) ÷ 100 =

4,560 ÷ 100 =

45.6;

5 0
3 years ago
Read 2 more answers
Please help, and plz don't be saying this is the right answer if u dont know for sure.
zepelin [54]

Answer:

135 degrees

Step-by-step explanation:

(8x-7)+(12x+57)=180

combine like terms

20x+50 = 180

subtract 50 on both sides

20x = 130

divide by 20

x = 130/20

x = 13/2

x = 6.5

cpq = 12x+57

cpq = 78 + 57

cpq = 135

4 0
2 years ago
Prove that the two circles shown below are similar.
s344n2d4d5 [400]

The circles B and D are similar since the radius of the former is as twice as the radius of the latter.

<h3>Are the two circles shown in the figure similar?</h3>

By geometry we know that circles are defined by only one characteristic: radius. If two circles are similar, then the radii must be <em>different</em>. After a quick look at the figure, we conclude that the radii are r_{B} = 4 and r_{D} = 2. Hence, the circles B and D are similar since the radius of the former is as twice as the radius of the latter.

To learn more on similarity: brainly.com/question/12670209

#SPJ1

5 0
2 years ago
The test scores of students in a math class are 46, 40, 50, 43, 35, 41, 50, 42, 38, and 48. What is the mean of this set of data
zimovet [89]
Mean is the average. You would add up all the numbers and divide by how many numbers you have.  433/10=43.3
5 0
3 years ago
Find the common ratio of the geometric sequence 18,-72,288,...
tamaranim1 [39]

Answer:

<em>The common ratio of the geometric sequence is -4</em>

Step-by-step explanation:

<u>Geometric Sequence</u>

A geometric sequence is defined as a series of numbers that follow a fixed pattern: Each term equals the previous term times a fixed number called the common ratio. The recursive formula is:

a_n=a_{n-1}*r

Where r is the common ratio.

We are given three terms of a geometric sequence:

18,-72,288,...

To find the common ratio, just divide each term by the previous term:

\displaystyle r=\frac{-72}{18}=-4

Make sure it's a fixed number and test with the third term:

\displaystyle r=\frac{288}{-72}=-4

Since both numbers coincide, the common ratio of the geometric sequence is -4

5 0
2 years ago
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