circumference of the circle = 2 x PI x R
a. 2 x 3.14 x 15 feet = 94.2 feet
b. 500/94.2 = 5.3 rides
c. 45 x 30 = 1350 square feet
d. = 3.14x 15^2 = 706.5 square feet
e. 1350-706.5 = 643.5 square feet
Answer:
m∠KNL = 102°
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Geometry</u>
- Vertical Angles: angles that are opposite of each other congruent
Step-by-step explanation:
<u>Step 1: Set up equation</u>
5x + 2 = 3(x + 14)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 3: 5x + 2 = 3x + 42
- Subtract 3x on both sides: 2x + 2 = 42
- Subtract 2 on both sides: 2x = 40
- Divide 2 on both sides: x = 20
<u>Step 3: Find m∠KNL</u>
- Define: m∠KNL = 3(x + 14)°
- Substitute: m∠KNL = 3(20 + 14)°
- Add: m∠KNL = 3(34)°
- Multiply: m∠KNL = 102°
The answer is D. 0.6
P(A or B) = P(A) + P(B) - P(A and B)
When the events are mutually exclusive, that means they cannot occur together:
P(A and B) is empty set, thus = 0
P(A) = 0.25
P(B) = 0.35
P(A or B) = 0.25 + 0.35 - 0 = 0.6
