The histogram shows the ages of the volunteers who cleaned up a beach.

what percent of the volunteers was at least 15 years old but no more than 24 years old?

enter your answer in the box.

%

30%

Step-by-step explanation:

Age             No. of volunteers

10-14                     3

15-19                     2

20-24                   7  

25-29                   8    

30-34                   5    

35-39                   5  

Total no. of volunteers = 3+2+7+8+5+5 =30

Now we are supposed to find What percent of the volunteers was at least 15 years old but no more than 24 years old

15-19                     2

20-24                   7  

So, total no. of volunteers was at least 15 years old but no more than 24 years old = 7+2=9

So, percentage of volunteers was at least 15 years old but no more than 24 years old:

=

=

Hence 30 % of volunteers was t least 15 years old but no more than 24 years old.

sec ф = 5/3 (quadrant 4)

let x = base

y = perp

z = hypotenuse

sec ф = hypotenuse/base = 5/3

⇒ z = 5 and x = 3

finding y:

z² = x² + y²

5² = 3² + y²

y² = 25-9

y² = 16

y = 4

now finding all other geometric functions of theta:

sin ф = y/z = 4/5

sin ф = -4/5 (sin is negative in the 4th quadrant)

cos ф = x/z = 3/5

cos ф = 3/5 (cos is positive in 4th quadrant)

tan ф = y/x = 4/3

tan ф = -4/3 (tan is negative in 4th quadrant)

cosec ф = z/y = 5/4

cosec ф = -5/4 (cosec is negative in the 4th quadrant)

cot ф = x/y = 3/4

tan ф = -3/4 (tan is negative in 4th quadrant)

the answer

b. they are parallel and will never intersect.