Answer:
Step-by-step explanation:
38.

37.

Red apples to all apples:
There are 6 red apples and 13 apples total, so the ratio it 6:13
Green Apples to All Apples:
There are 7 green apples and 13 apples total, so the ratio is 7:13.
Answer:

Step-by-step explanation:
Given:


We know that, conditional probability of B given that A has occurred is given as:
. Expressing this in terms of
, we get

Plug in the known values and solve for
. This gives,

Therefore, the probability of events A and B occurring is
.
The rope tied to the tree will make a triangle.
The height of the triangle = 180cm
The base of the triangle = 200cm
to find how much rope you need, work out the hypotenuse using Pythagoras:
180^2 + 200^2 = 72400
√72400 = 269.0724809
This is the length of rope he needs, however you need to +30 as this is what he will need when he ties the rope:
269.0724809 + 30 = 299.0724809
299.0724809 is less than the 270cm of rope he has, so he would need more.
They both have right angles and have the same angles overall. Essentially they are the same size, one is just expanded bigger than the other. It might be dilation. The inside line so indicate the similarity in angle sizes.