Answer:
B.
Step-by-step explanation:
Green: y = 1.75x + 4
The slope is 1.75 which is the rate per mile.
Green charges $1.75 per mile.
White:
For 3 miles: $10.50
For 5 miles: $13.50
Difference: $13.50 - $10. 50 = $3.00
The $3.00 difference is for 2 miles.
Rate per mile: $3.00/2 = $1.50
White charges $1.50 per mile
Answer: B.
Answer: $30 per share.
Explanation:
55 + x = 85
-55 -55
x 30
x = 30
Answer:
Step-by-step explanation:
This question will be solved using the combination formula which is nCr because the order is unimportant and we need the selection.
11C6
11!/(11-6)!*6!
= 462
Therefore the manager can select the restaurant in 462 ways.
Answer:
The volume of the cone is:
- <u>112.6 cubic inches.</u>
Step-by-step explanation:
You should know that the volume of a straight circular cone is equal to:
- Cone volume = (1/3) PI * r ^ 2 * h
Where:
<em>r = radius.
</em>
<em>h = height.
</em>
Since the radius and diameter are not provided in the exercise but the circumference, the circumference formula should be used and the diameter must be cleared:
- Circumference = PI * Diameter.
When clearing you get:
- Diameter = circumference / PI
By replacing the data you get:
- Diameter = 15 inches / PI
- Diameter = 4.77 inches.
Since the radius is equal to half the diameter, then the diameter is equal to 2,385 inches, now having the value of radius we proceed to replace in the volume formula:
- Cone volume = (1/3) PI * 2.385 in^2 * 18.9 in
- Cone volume = 112.581541 in^3
- <u>Cone volume = 112.6 in^3</u>
Remark
Study the triangle carefully. It may not be exactly as you have drawn it, but it will work if you just follow the givens.
Givens
AC = 2
AB = 1
BC = sqrt(3)
Step One
Find Cos C
Cos(C) = adjacent / Hypotenuse
Cos(C) = BC / AB
Cos(C) = sqrt(3)/2
Step Two
Find Sin(A)
Sin(A) = opposite / hypotenuse
Sin(A) = AB / AC
Sin(A) = 1/2
Step Three
Find Cos(C) * Sin(A)
Cos(C) * Sin(A) = sqrt(3)/2 * 1/2 = sqrt(3) / 4 <<<< Answer
