Answer:
39.25
Step-by-step explanation:
Area of circle is pi(3.14) times r^2.
Semi means half
So 3.14 times 5^2 = 78.5
Its a semi ciricle so its 78.5/2 which is 39.25
For the blank on the left, the answer is "angle ABC" without quotes of course. This is because we're using the substitution property which is the reasoning for statement 4. To elaborate, we connect statement 1 and statement 3 to get to statement 4.
The last statement, statement 5, is simply a repeat of the claim we want to prove. So you'll just copy/paste where it says "prove" as your last statement. Always start with the "given" and end up with "prove" is how I think of it.
The reasoning for the last statement is "definition of congruence". If two angles are congruent, then they have the same angle measure.
You can start by converting from degrees to radians and using the relation
Or just set up the proportion equation,
Answer:
- <u>They can catch up with the bus at 10:40 am.</u>
Explanation:
1. Set the time when Liana and her mother can leave (8:40 am) as t₀ = 0; thus the time of driving for them will be t.
2. The average speed at whic Liana's mother drive: 60 miles/hour
3. Thus, the distance they will have driven will be:
- distance = average speed × time = 60t
4. The time the bus left was 8:00 am, which is 40 minutes before Liana and her mom can leave.
Thus, the time wil have driven when Liana and her mom have driven t hours minutes will be: t + 40 min / 60 min/ hour = t + 2/3
5. The average speed of teh bus is 45 miles / hour
6. The distance the bus will have driven will be:
- distance = average speed × time = 45(t + 2/3)
7. When Liana and her mother catch up with the bus, the distances driven by both of them are equal:
Thus, Liana and her mom can catch up with the bus after 2 hours, since 8:40 am; this is, 10:40 am.
Use the pythagorean theorem
a = 12
b = 5
c = unknown
a^2 + b^2 = c^2
12^2+5^2 = c^2
144 + 25 = c^2
169 = c^2
c^2 = 169
c = sqrt(169)
c = 13
The hypotenuse of the right triangle is 13 units
Answer: 13