Question Progress Homework Progress
2/9 Marks
41%
The graph shows the speed of a particle over a 10 second time interval.
Speed m/s
40 (2, 36)
(4, 39)
(6, 31)
20
(8, 14)
(10,0) Time in
4
(0,0)
0 2
8 10 seconds
Find an estimate for the distance travelled by the particle.
6

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi

answer: i literally just answered this question but they want me to do it again

step-by-step explanation: