You need to draw the triangle DEF with a right angle at E. Angle D = 40 and DE = 100 m. Once you have marked up your triangle, you can use cosine to find DF.
In this question we are asked to find the ratio of the number of chocolates which Lauren liked and the total of chocolates.
We know she doesn't like coconut and toffee, so she likes caramel, mint and cherry. When we count the ones she liked, we got

.
When we add to find how many chocolates are there, we got

.
To find the ratio we need to divide the first one and the second one:

is our probability.
Answer:
240
Step-by-step explanation:
add up the numbers of all the students that were surveyed
get 90
60 of those were rock or hiphop
divide 360 by 90
get 4
multiply 60 by 4
get 240
Answer:
D.
Step-by-step explanation:
The length of the unmarked side of the triangle is found by using Pythagoras:
x sqrt (10^2 - 6^2)
= sqrt 64
= 8.
The length of the curved part = 1/2 * pi * 10 = 5pi
Perimeter = 8 + 6 + 5pi
= 14 + 5pi
D.
Because 4 divided by 2 is 2