The way to solve this question is to essentially reverse the equation I used in the other answer.
I would solve this with some theoretical values. If you start with 3, how long would it take for it to triple, or reach 9.
the equation would look like 9 = 3(2)^t/6, note how the instead of 1/2 it is now 2 in the parenthesis, as it doubles every 6 hours rather than halves every amount of hours.
When placed into an algebra calculator, the answer should be about 9.5 hours
Answer:
6.33 m/s
Step-by-step explanation:
Given that,
The world record for the men’s 10000 meters was 26 minutes 17.53 seconds.
Distance = 10000 m
Time, t = 26 minutes 17.53 seconds = 1577.53 s
We need to find the average speed throughout the race. It is equal to total distance divided by total time taken.
So, the average speed is 6.33 m/s.
Answer:
a) m∠BPD = 120°
b) m∠BC + m∠AD = 120°
Step-by-step explanation:
a) To solve for question a, we make use of a theorem called the intersecting chord theorem. This states that:
The measure of the angle formed by two chords that intersect inside a circle is the average of the measures of the intercepted arcs.
The Interior angle =( The larger exterior arc + The smaller exterior arcs) ÷ 2
The larger exterior arc (m∠BD) = 170°
The small exterior arc (m∠CA) = 70°
m∠BPD = m∠BD + m∠CA/2
m∠BPD = 170° + 70°/2
= 240°/2
= 120°
b) We are to find m∠BC + m∠AD
The sum of exterior angles in a circle = 360°
360° = m∠BD + m∠CA + m∠BC + m∠AD
360° = 170° + 70° + m∠BC + m∠AD
360° = 240 + m∠BC + m∠AD
360 - 240° = m∠BC + m∠AD
Thererefore,
m∠BC + m∠AD = 120°
Answer:
40+20=72-12
60=60
Step-by-step explanation:
4*10+4*5=6*12-6*2
40+20=72-12
60+60
Formula for <span>area of a pentagon </span>is A = (5/2)la
where l is the length of a side and a is the length of an apothem Putting the value of l and a in equation:
A = (5/2)(3)(k) = 15/2 k = 7.5k
