6) arc length = 2*PI*R* degree/360
arc length = 2 * PI * 3 * 65/360
= 6*PI x 65/360
= 13/12*PI
Answer = C
7) drawing the lines as given would make a T shape with B being the mid point, so the answer would be C
Answer:
3* (b+9) = 4
Step-by-step explanation:
b is the unknown number
Three times the sum of a number and 9 is 4.
3* (b+9) = 4
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Midpoint Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (2, 9)
Point (8, 1)
<u>Step 2: Identify</u>
(2, 9) → x₁ = 2, y₁ = 9
(8, 1) → x₂ = 8, y₂ = 1
<u>Step 3: Find Midpoint</u>
Simply plug in your coordinates into the midpoint formula to find midpoint
- Substitute in points [Midpoint Formula]:

- [Fractions] Add:

- [Fractions] Divide:

To determine the number of gallons of gasoline that is used, we need to know the rate of usage of gasoline. This rate would describe the number of gasoline in units of volume that is being used per distance in units of length. In this case, we need the rate in units of miles per gallon. From what is asked and the given values, we simply divide the rate to the the total distance that was traveled by the car. We calculate as follows:
Gallons of gasoline = 293 miles / 57 miles / gallon
Gallons of gasoline = 5.14 gallons
Therefore, about 5 gallons of gasoline was consumed by the hybrid car for a distance of 57 miles.
Answer:
1890
Step-by-step explanation:
Loss = 11/2 % = 5.5 %
Cost price = 2000
Loss = 5.5% of cost price
= 5.5% * 2000

Selling price = Cost price - loss
= 2000 - 110
= 1890