the ratio of the length to the width of a rectangle is 10:6. if the perimeter of the rectangle is 160 meters, find the measure of the width.

Given:

The ratio of the length to the width of a rectangle is 10:6.

Perimeter = 160 meters

To find:

The measure of the width.

Solution:

Let the length and width of the rectangle be 10x and 6x respectively.

Perimeter of a rectangle is

where, l is length and w is width.

Putting P=160, l=10x and w=6x, we get

Divide both sides by 32.

Now,

Therefore, the width of the rectangle is 30 meters.

A)144/133225

B)1/365

Step-by-step explanation:

A) We want to find the probability that two people have a birthday on the 18th of any month.

If we Neglect leap year like the question says, it means that there are 365 days in a year.

Now, we have 12 possible number of 18th day in all months that make a calendar year.

Thus;

If two people have birthday on 18th, the probability that the two of them will have birthday on the 18th of any month is;

P(both to have birthday on the 18th of any month) = (12/365) × (12/365) = 144/133225

B) We want to find the probability that two people have a birthday on the same day of the same month. This can be written as;

P(2 people have a birthday on the same day of the same month) + P(2 people do not having birthday on same day of same month) = 1

Probability of 2 people not having birthday on same day of same month = 365/365 × 364/365 = 364/365

P(2 people have a birthday on the same day of the same month) = 1 - (364/365) = 1/365