Answer:
A ∩ B = {12}
Step-by-step explanation:
What are the possible even outcomes?
Assuming the number cubes are 1-6,
our possible outcomes run from 2-12, but we are looking for even rolls, so A={2,4,6,8,10,12}.
How many of those are divisible by 3? B={12}.
We are looking for what is in common between these, so
A ∩ B= {12}
<h3>Answers:</h3>
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Explanation:
x = number of seconds that elapse
y = altitude (aka height) of the plane
The equation for plane A is
y = 20.25x+2652
because it starts off at 2652 ft in the air, and then adds on 20.25 feet per second which is what the 20.25x describes
The equation for plane B is
y = 75.5x
The y intercept is zero because plane B starts on the ground, aka height 0.
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The system of equations is

If we want to know when they'll reach the same height (y), then we can set the two right hand sides equal to each other and solve for x.
75.5x = 20.25x+2652
75.5x-20.25x = 2652
55.25x = 2652
x = (2652)/(55.25)
x = 48
The two planes reach the same altitude at exactly <u>48 seconds</u>
That altitude is <u>3624 feet</u> because
- y = 20.25*x + 2652 = 20.25*48+2652 = 3624
- y = 75.5*x = 75.5*48 = 3624
Notice I plugged x = 48 into each equation and I got the same y value of y = 3624. This helps confirm the answers.
Answer:
x ≈ 48.2°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x =
=
, then
x =
(
) ≈ 48.2° ( to the nearest tenth )
Desmond ran the further distance because Betty ran 2/4 and Desmond ran 3/4
Answer:
c
Step-by-step explanation:
all real values of x where 1 < x < 4