<span>An angle whose vertex is the centre of a circle and whose
sides pass through a pair of points on the circle is called a
</span>
central angle. The following symbol, pronounced “theta”, is
<span>
used to represent a central angle: .
</span>
Each central angle forms an arc length between the points
<span>
that it passes through on the circle.
The arc length of a circle can be found by first calculating
what fraction of the circle is represented by the central angle.
Then you find the circumference of the circle. Finally, you find
the fraction of that circumference.
For example, if a circle has a radius of 10.0 cm and a central
angle of 60°, to calculate the arc length for that angle we must
first determine what fraction of the circle is represented by the
central angle 60°. Since there are 360° in a full circle, we can
find the fraction of a circle by simplifying ; The
sector represents of the circle.
To find the arc length, we now need to find the circumference
</span>
of the circle. Circumference of a circle is equal to 2 r.
C 5 2 r
5 2 10.0
<span>
62.8 cm
The circumference of this circle is about 62.8 cm. To find the
arc length, we need to find of 62.8 cm.
62.8 10.5 cm
The arc length formed by this central angle is about 10.5 cm.
</span><span>
</span>
The answer is 38, because if you take away the 15 he bought afterwards (34-15) you get 19, and then since he sold half his collection you would double that (19×2) and that's 38.
1) Identity Property of addition
2) Commutative Property of Multiplication
3) Zero property of multiplication
4) Commutative property of addition
Hope this helps!
Answer:
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
Check the picture below.
A)
well, we start off by making a table of values for the function, with a few "t" values, as you see in the picture, then graph those points to get the graph.
B)
at t = 0, h(0) = 98, and at t = 1, h(1) = 82, so it went from 98 to 82, for a difference of 16.
C)
at t = 1, h(1) = 82, and at t = 2 h(2) = 34, so it went from 82 to 34, for a difference of 48.
does it fall the same distance on both intervals? well, they're different, so nope.
