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Gala2k [10]
3 years ago
11

The distance between two cities on a map is 4 - inches. The actual distance between the two cities is 24 miles.

Mathematics
1 answer:
Rudiy273 years ago
5 0

Answer

The scale factor is

Explanation

We have to ways to find the scale factor here:

1. Find the unit fraction from inches to miles; in other words, we need to divide the distance between the cities on the map (in inches) by the actual distance between the cities.

We can conclude that the scale factor is

2. Let  be the scale factor.

We know form our problem that 24 miles times the scale factor is equal 4 1/2 inches, so we can set up an equation an solve for :

Just like before, we can conclude that the scale factor is

B.

Answer

6 inches separate the cities on the map

Explanation

We know that our scale factor is 1/4 inch = 1 mile, so we can create a conversion factor to convert 24 miles to inches. Since we need to convert from miles to inches, the denominator of our conversion factor must be 1 mile so we can cancel miles out. Notice that we can also express 1/4 inch as 0.25 inch to simplify our calculations:

We can conclude that if the conversion factor is 1/4 inch = 1 mile, 6 inches separate the cities on the map.

Read more on Brainly.com - brainly.com/question/2707512#readmore

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Write <br> 2 hundredths as a decimal
KiRa [710]

Answer:

0.002

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Simplify the expression (7 + 9i)(8 - 10i)
NeX [460]

The simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

<h3>How to simplify the expression?</h3>

The expression is given as:

(7 + 9i)(8 - 10i)

Expand the bracket

7 * 8 + 9i * 8 -7 * 10i - 9i * 10i

Evaluate the products

56 + 72i -70i - 90(i²)

Evaluate the difference

56 + 2i - 90(i²)

In complex numbers;

i² = -1

So, we have:

56 + 2i - 90(-1)

Evaluate

56 + 2i + 90

Add the like terms

146 + 2i

Hence, the simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

Read more about complex numbers at:

brainly.com/question/10662770

#SPJ1

6 0
2 years ago
The cone below has a radius of 3 inches, a height of 4 inches, and a slant height of 5 inches. What is the approximate lateral a
Natali [406]
<span>Cone Lateral Area = (<span>π<span> • r •<span> slant height)
</span></span></span></span><span>Cone Lateral Area = (PI * 3 * 5)
</span>Cone Lateral Area = <span> <span> <span> 47.1 </span> </span> </span> square inches
Cone Lateral Area = <span> <span> 47</span></span> square inches (rounded to nearest whole number).


6 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!! WILL MARK BAINLIEST
yawa3891 [41]

Answer:

12 > x+5 (?) 52

Step-by-step explanation:


4 0
3 years ago
Help meeee pleaseeeee
dsp73

3 = 379.25

4 = 1587.50

5 = 198.88

6 = 1217.50

7 = 1788.20

8 = 1408

9 = 205

10 = 1516

11 = 2034

12 = 880

13 = 1994.57

14 = 1157.77

15 = 38812.50

remember to round the numbers, and also write random numbers everywhere so it looks like you did it.

7 0
3 years ago
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