Answer:
x ≈ 2.29 cm
Step-by-step explanation:
From the picture below we are given a right angle triangle and asked to find the value of x. We can use the SOHCAHTOA principle to find the side x.
Base on the angle given the adjacent side of the triangle is x while the hypotenuse is given as 4 cm. Let's find the value of x .
cos 55° = adjacent/hypotenuse
cos 55° = x/4
cross multiply
x = 4 cos 55°
x = 4 × 0.57357643635
x = 2.2943057454
x ≈ 2.29 cm
Answer: The required probability of selecting 1 red apple and 2 yellow apples is 36.36%.
Step-by-step explanation: We are given that a bag contains 6 red apples and 5 yellow apples out of which 3 apples are selected at random.
We are to find the probability of selecting 1 red apple and 2 yellow apples.
Let S denote the sample space for selecting 3 apples from the bag and let A denote the event of selecting 1 red apple and 2 yellow apples.
Then, we have

Therefore, the probability of event A is given by

Thus, the required probability of selecting 1 red apple and 2 yellow apples is 36.36%.
Answer:
50%
Step-by-step explanation:
2,000 is 2 x more than 1,000. Or, 1,000 is half of 2,000 and half of 100%=50%.
Answer:
The Answer is B
Ive hade this test before
Let t be time and r be rate, then if time varies inversely with the rate, the equation is

. If it takes 5 hours to drive a fixed distance at a rate of 80, we can sub those values in to solve for the constant of variation, k.

. Solve for k by multiplying 5 and 80 to get that k = 400. Now let's find a new time t when r is a rate of 70. We will use that k value to do this:

and find that it will take 20 hours to drive the distance at 70 mph when it takes 5 hours to drive the distance at 80 mph. Makes sense that it takes longer to drive a fixed distance when you are going slower.