If a car goes around a turn too quickly, it can leave tracks that form an arc of a circle. By finding the radius of the circle,

Answer: 5 Cans

Step-by-step explanation:

Response:

• Solution for x is 1

Detailed explanation:

Line PU acts as a transversal intersecting parallel lines QR and ST

The angles PRQ and UST sum to 180 degrees

• 15(x+2) = 180 - 135
• 15x + 30 = 45
• 15x = 15
• x = 1

Response:

• 4099 yes
• 4110 no
• 5909 no
• 5011 yes

Step-by-step breakdown:

The digits are related through a factor of 10 when they are identical. 4099 and 5011 have identical digits in the tens and units places. 4110 and 5909 do not share this property.

Part a) When a page is scaled down to 80%, how much enlargement is necessary to bring it back to its original size?

Let

x---------> the percent enlargement

Given the original size is 100%

This means:

x*80%=100%

x=(100%/80%)

x=1.25--------> 1.25=(125/100)=125%

Thus,

The answer to Part a) is

The percent enlargement required is 125%

Part b) Estimate how many successive copies of a page are needed to make the final copy less than 15% of its original size.

Since the photocopy machine reduces sizes to 80% of the original

Therefore:

Copy N 1

0.80*100%=80%

Copy N 2

0.80*80%=64%

Copy N 3

0.80*64%=51.2%

Copy N 4

0.80*51.2%=40.96%

Copy N 5

0.80*40.96%=32.77%

Copy N 6

0.80*32.77%=26.21%

Copy N 7

0.80*26.21%=20.97%

Copy N 8

0.80*20.97%=16.78%

Copy N 9

0.80*16.78%=13.42%-------------> 13.42% < 15%

Therefore,

The answer to Part b) is

The necessary number of copies to achieve this is 9