Answer: side = 6.8 inches
Step-by-step explanation:
Side of pentagon = perimeter/5
= 34/5 = 6.8
Answer:
It is 118°
Step-by-step explanation:
because these are corresponding angles.
Answer:
m = 200 miles
Step-by-step explanation:
Rental Co. A: A(m) = $35 + ($0.10/mile)(m), where m is the number of miles driven
Rental Co. B: B(m) = $25 + ($0.15/mile)(m)
Set these two dollar amounts equal to each other and solve for m:
$25 + ($0.15/mile)m = $35 + ($0.10/mile)(m). Combine like terms, obtaining:
($0.05/mile)m = $10; then m = ($10) / ($0.05/mile), or 200 miles.
The price charged by the two companies would be the same when the car has been driven 200 miles.
Answer:
B) Rational, not an integer.
Step-by-step explanation:
The number is a decimal continuing forever; it is predictable. This means that it is Rational. If the number was not repeating then it would be irrational.
The number is not an integer because it is not a whole number; it is a decimal.
Answer:
B. 0.602%
Step-by-step explanation:
Probability is essentially (# times specific event will occur) / (# times general event will occur). Here, we have a few specific events: draw a quarter, draw a second quarter, draw a penny, and draw another penny. The general event will just be the number of coins there are to choose from.
The probability that the first draw is a quarter will be 4 / (4 + 8 + 9) = 4/21.
Since we've drawn one now, there's only 21 - 1 = 20 total coins left. The probability of drawing a second quarter is: (4 - 1) / (21 - 1) = 3/20.
The probability of drawing a penny is: 9 / (20 - 1) = 9/19.
The probability of drawing a second penny is: (9 - 1) / (19 - 1) = 8/18.
Multiply these four probabilities together:
(4/21) * (3/20) * (9/19) * (8/18) = 864 / 143640 ≈ 0.602%
The answer is B.
