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Bogdan [553]
2 years ago
5

Find the scale of each map.

Mathematics
1 answer:
AnnZ [28]2 years ago
8 0

The scale of the first map is 1cm : 40 km

The scale of the second map is 1 cm : 1.25 km

The scale  of the third map is 1 cm : 12.50 km

A scale drawing is a smaller image of an original image. The map is a scale drawing.

Scale of the drawing = original dimensions / dimensions of the scale drawing

Scale of the first map : 120 / 3 = 40

The scale is 1cm : 40 km

Scale of the second map : 4 / 3.2 = 1.25

The scale is 1 cm : 1.25 km

Scale of the third map: 50 / 4 = 12.5

The scale  is 1 cm : 12.50 km

To learn more about scale drawings, please check: brainly.com/question/980463?referrer=searchResults

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Donald has a bunch of nickels and dimes in his piggy bank. There are 100 coins in the bank that make a total of $6.60 in change.
brilliants [131]

Answer:

78 nickels and 22 dimes

Step-by-step explanation:

Nickels = n, Dimes = d

<u>Number of coins = 100</u>

  • n + d = 100

<u>Total sum in the piggy bank = $6.60 </u>

  • 5n + 10d = 660

<u>Consider the first equation in the second:</u>

  • 5(100 -d) + 10d = 660
  • 500 - 5d + 10d = 660
  • 5d = 110
  • d = 110/5
  • d = 22
  • n = 100 - 22
  • n = 78

<u>Answer:</u> nickels 78 and dimes 22

8 0
3 years ago
Read 2 more answers
Rectangle ABCD with coordinates A(1, 1), B(4, 1), C(4, 2), and D(1, 2) dilates with respect to the origin to give rectangle A'B'
Virty [35]

Scale factor is a ratio. The correct option is C.

<h3>How are scale drawings formed?</h3>

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

\rm 1\:  ft : \dfrac{s}{k}\:  in.

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

The length of AB can be written as,

AB = √[(1-4)²+ (1-1)²]

AB = 3

Since the length A'B' is 6 units, therefore, the scale factor will be,

Scale factor = (Length after transformation)/(Length before transformation)

Scale factor = 6 /3 = 2

Hence, the correct option is C.

Learn more about Scale factors:

brainly.com/question/8765466

#SPJ1

8 0
2 years ago
A 4-foot tree was planted in 1984. The tree grows continuously by 22% each year from this point forward. Find the height of the
nata0808 [166]

Answer:

the tree will be 11.04 feet tall

Step-by-step explanation:

4 x 0.22 (22%) = 0.88

every year it grows 0.88 foot.

0.88 x 8 = 7.04

4 + 7.04 = 11.04 feet tall

sorry if this is wrong!

3 0
2 years ago
What is 22.5% written as a fraction in simplest form?​
murzikaleks [220]

Answer:

9/40

Step-by-step explanation:

  • Write down the percent divided by 100 like this:

22.5/100

  • Multiply both top and bottom by 10 for every number after the decimal point:
  • As we have 1 digit after the decimal point, we multiply both numerator and denominator by 10, or, simply shift 1 decimal place to the right. So,

(22.5*10)(100*10)= 225/1000

  • Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(225,1000) = 25.

225 ÷ 25/ 1000÷25 = 9/40

5 0
2 years ago
Simplify, following the order of operations: 5 102 – 3 × (12 – 8)
JulijaS [17]

5 + 10^2 - 3 ( 12 - 8 ) = 93 12 - 8 = 4 then do 3 x 4 which = 12 and then add 5 to 10^2 which = 105 105 - 12 = 93

5 0
2 years ago
Read 2 more answers
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