Step-by-step explanation:
There are 25 marbles altogether.
When you pick the 1st marble, there's a 5/25 chance that you pick a red marble.
When you pick the 2nd marble, there's a 15/24 chance that you pick a blue marble.
Why did it become 24? Because you already pick the 1st marble.
So since each probability is independent from each other, the total probability can be found by multiplying both probabilities, which is 1/8.
25 is a perfect cube I believe
Answer:
81.87°
Step-by-step explanation:
The angle a line makes with the x-axis is equal to the arctangent of its slope. Here, L1 makes an angle of arctan(0.5) = 26.57° with the x-axis; L2 makes an angle of arctan(-3) = -71.57° with the x-axis. The difference between these angles is ...
26.57° -(-71.57°) ≈ 98.13° . . . . . . all numbers rounded to 2 decimal places
This is an obtuse angle, so the acute angle is ...
180° -98.13° = 81.87°
_____
You can also use the trig formula for the difference of angles. Tan(α) is the slope of the first line, 0.5. Tan(β) is the slope of the second line, -3.
tan(α-β) = (tan(α)-tan(β))/(1 +tan(α)tan(β))
tan(angle) = (0.5 -(-3))/(1 +(0.5)(-3)) = 3.5/(-0.5) = -7
angle = arctan(-7) = -81.87°
The angle between the two lines is 81.87°.
3.0 x 10^9. Three times ten to the ninth power
I believe I can fly, I believe I can’t touch the sky.