Answer:
4 feet long
Step-by-step explanation:
Pythagorean Theorem: + =
In this problem, a and b are the legs of the triangle, while c is the hypotenuse
Plugging the values of and to the equation you get:
5 + 11 =
Therefore, = 16, and by taking the square root you find that c, or the hypotenuse, must equal 4.
Answer: , where t is the number of years after 2005.
Step-by-step explanation:
Given : In 2005, a Caribbean nation produced 0.7 million tons of cane sugar. annual production was projected to decrease by 0.05 million tons each year for the next five years.
i.e.Amount (in millions of tons) of sugar cane produced in year = 0.7- 0.05 *( Each next year)
Let 2005 be the initial year , then after 2005 each year will be t.
Now , the Amount (in millions of tons) of sugar cane produced in year = 0.7- 0.05 *( t)
Let y(t) be the amount (in millions of tons) of sugar cane produced in year , then a linear function that models this situation will be :
, where t is the number of years after 2005.
Its either A or B. I think its A
Answer:
- <em><u>12 tickets</u></em>
Explanation:
You must assume that the ratio of the number of tickets in row 7 is a constant.
That permits you to set a proportion with the ratio of the number of tickets in row 7 for the first batch of tickets and the ratio of the number of tickets in row 7 for the next 33 tickets sent out:
<u>1. Ratio of number of tickets in row 7 for the first batch.</u>
- Number of tickets in row 7: 20
- Total number of tickets: 20 + 19 + 16 = 55
- Ratio: 20/55
<u>2. Ratio of number of tickets in row 7 in the next 33 tickets sent out:</u>
- Number of tickets in row 7: x
- Total number of tickets sent out: 33
- Ratio: x/33
<u>3. Proportion</u>
Set the proportion and solve for x:
Answer: 12 tickets
Step-by-step explanation:
1.4 × 104
i.e (0.7 × 2) × 104
= 1.4 × 104 ≈ 145.6