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saul85 [17]
3 years ago
6

During the day, Lola's dog is tied by rope to a tree in the center of her yard. The scale drawing below shows the area that the

dog has to run, in inches. If the actual length of the rope is 11 2/3 feet, what is the scale used in the drawing?
Mathematics
1 answer:
seropon [69]3 years ago
6 0

Answer:

5 /448

Step-by-step explanation:

Radius in drawing = 1 9/16 in

The actual length of rope = 11 2/3 feets

Converting actual length to inches :

1 feet = 12 inches

11 2/3 feets = (11 2/3) * 12 = 140 inches

To obtain the scale used, we divide the Radius in the drawing by the actual length :

1 9/16 ÷ 140

25 /16 ÷ 140

25 /16 * 1 /140

= 25 / 2240

= 5 /448

Hence, scale is 5 /448 times the actual length of drawing

Hence :

The scale used is :

1 feet = 7.4666 inches

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A small university enrolls in-state and out-of-state students. The number of students enrolled in their most recent freshman cla
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3 years ago
A new bank customer with ​$4 comma 500 wants to open a money market account. The bank is offering a simple interest rate of 1.5​
Jet001 [13]

a) Simple interest earned by customer in 10 years is $ 675

b) Account balance after 10 ​years is $ 5175

<em><u>Solution:</u></em>

<em><u>The simple interest is given by formula:</u></em>

Simple\ Interest = \frac{p \times n \times r}{100}

Where,

"p" is the principal

"r" is the rate of interest

"n" is the number of years

<em><u>a. How much interest will the customer earn in 10 ​years?</u></em>

From given,

Principal = p = $ 4500

Simple interest rate = r =1.5 %

n = 10

Substituting the values in formula,

Simple\ Interest = \frac{4500 \times 10 \times 1.5}{100}\\\\Simple\ Interest = 450 \times 1.5\\\\Simple\ Interest = 675

Thus simple interest earned by customer in 10 years is $ 675

<em><u>b. What will the account balance be after 10 ​years ?</u></em>

Account balance = principal + simple interest

Account balance = 4500 + 675 = 5175

Thus account balance after 10 ​years is $ 5175

8 0
3 years ago
Shapes A and B are similar.
kari74 [83]

The scale factor from A to B is 5/3 and the value of r is 33/5

<h3>The scale factor from A to B</h3>

From the figure, we have the following corresponding sides

A : B = 5 : 3

Express as fraction

B/A = 3/5

This means that, the scale factor from A to B is 5/3

<h3>The value of r</h3>

From the figure, we have the following corresponding sides

A : B = 11 : r

Express as fraction

B/A = r/11

Recall that:

B/A = 3/5

So, we have:

3/5 = r/11

Multiply by 11

r = 33/5

Hence, the value of r is 33/5

Read more about similar shapes at:

brainly.com/question/14285697

#SPJ1

3 0
2 years ago
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