If the radius of a circle is 16 units, what is its circumference? (Use pie for it)
2 answers:
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Answer:
- <u>After 1.7 hours</u>
Explanation:
<u>1. Calculate the average speed of train B</u>
- 60mph = 3/4 (s) ⇒ s = 60 (4/3) mph = 80 mph
<u>2. Build a table</u>
When the two trains meet:
Train Average speed Distance time (distance/average speed)
mph
A 60 x x/60
B 80 240 - x (240 - x) / 80
<u>3. Write the equation</u>
The time, when the two trains meet, is the same for both trains:
<u>4. Calculate the time:</u>
- x/60 = 102.86 / 60 = 1.7 hours
The two trains will meet after 1.7 hours
Answer:
One solution.
Step-by-step explanation:
To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "<em>When we divide side a by the sine of angle A it is equal to side b divided by the sine of angle B, and also equal to side c divided by the sine of angle C</em>".
Using the law of sines we have:
Solving for B, we have:
∠B = 29.4°
Therefore, the measure of the third angle is: ∠C = 37.6°
There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.
Therefore, there is one triangle that satisfies the conditions.