Answer:
It is C, because to find volume you must use the formula <em>l</em><em>×</em><em>w</em><em>×</em><em>h</em>, or length times the width times the height. (<em>cm</em><em>^</em><em>3</em><em>)</em>
Answer:
E) is correct, 2/3
Step-by-step explanation:
The points that are 20 inches apart from P form a circle that contains Q. We can suppose that P is in the position (0,0) and Q in the position (20,0) (we can rotate and move the circle without making any effect on the probability).
A point in the circle at distance 20 of Q has the form (20 cos(Ф), 20 sen(Ф) ) for certain angle Ф between 0 and 2π. Since it is at distance 20 of Q, we have that (20-20cos(Φ))² + (0-20sen(Φ))² = 20²=400, thus
400 - 800 cos(Φ) + 400cos²(Φ) + 400sen²(Φ) = 800-800cos(Φ) = 400, so
400 = 800cos(Φ)
cos(Φ) = 1/2
By looking at a trigonimetric table, you can find that Φ is either π/3 or 2π-π/3 = 5π/3.
As a result, the angles that will give you a point R at distance from Q greater than 20 are between π/3 and 5π/3, hence , the points that are a distance greater than 20 form a chord of length 20*(5π/3-π/3) = 80π/3. Comparing this with the perimeter of the circle (20*2π = 40π), this gives us a probability of 80π/3 / 40π = 2/3 that the point R is closer to P than it is to Q.
Answer: $58.33 (Rounded bc it ends up in becoming a decimal)
Explanation: Let's make an equation for this problem. We know that if she works 3 hours for $25, 3*2=6 with 1 hour leftover. We can substitute those 6 hours for 2 sets of the 3 hours, giving us $50 so far. For the last hour, we have to divide 25 by 3 because it's only 1 hour instead of 3, meaning she'll get paid a third of the original pay rate. 25/3 equals 8.33333333334, so we'll just round that to 8.33, since it's cash. 50+8.33=$58.33. So, you'd earn 58 dollars and 33 cents for working for 7 hours.
So we know that the Point-Slope equation is as follows:
where m is the slope, and
and
are the point. So let's plug those numbers in now:
**We need to make sure that we do these signs correctly. Remember that two negatives equal a positive. Let's simplify:
And this is now your equation in Point-Slope form!
4,000,000
Since the 6 in 629,470 is larger than 4 than you would round up.
hope it helps!