Answer: 80 feet.
Step-by-step explanation:
1. As you can see in the figure, triangle ABC and the triangle DFG are similar.
2. The scale of factor of triangle ABC to triangle DFG is the following:

3. Therefore, the lenght of the side DG of the trinagle DFG is:

4. The perimeter of the triangle DFG is:

5. Therefore, she would need 80 feet of fence.
Answer:
0.49
Step-by-step explanation:
We apply conditional probability to solve this question.
We have Events X and Events Y
P(X) = Probability Christine fails the course = ??? Unknown
P(Y) = Probability Christine finds a tutor
= 0.35
P(Y') = Probability Christine does not find a tutor = 1 - 0.35 = 0.75
P(X|Y) = Decrease in her probability of failing = 0.35
P(X|Y') = Probability that she will fail the course if she does not have a tutor
P(X) = P(X|Y) × P(Y) + P(X|Y') × P(Y')
P(X) = 0.35 × 0.75 + 0.65 × 0.35
P(X) = 0.2625 + 0.2275
P(X) = 0.49
The probability that Christine fails the course is 0.49
Answer:

Step-by-step explanation:
Using the division rule when dealing with exponents

meaning that when we divide exponents that have the same base but different powers we can subtract the power of the bottom exponent from the top exponet.
so using that we are going to do 2, 4 and 9



Combine all the terms and we get
