Answer:
<h2>d(P, Q) = 6</h2><h2>d(Q, R) = 5</h2>
Step-by-step explanation:
The formula of a distance between two points A(a) and B(b):
<h3>d = |b - a|</h3>
We have P(x + 3), Q(x- 3), R(x + 2).
Substitute:
d(P, Q) = |(x - 3) - (x + 3)| = |x - 3 - x - 3| = |-6| = 6
d(Q, R) = |(x + 2) - (x - 3)| = |x + 2 - x - (-3)| = |2 + 3| = |5| = 5
Answer:
Option D. 5890.5 feet²
Step-by-step explanation:
An individual head of a sprinkler system covers a circular are of grass with a radius of 25 feet.
Yard has three sprinkler heads that each cover circular area with no overlap.
We have to calculate the approximate area watered by these 3 sprinkler heads.
Area covered by one sprinkler = π×r² = π×(25)² = 625π feet²
Therefore area covered by three sprinkler heads = 3 × 625π = 5892.85 feet²
which matches the approximate value of Option D. 5890.5 feet²
Answer:
y=6
Step-by-step explanation:
use elimination by making the ys opposite in value and eliminating them from the equation so there is only variable:
-3x+2y=6
2(4x-y=2)
-3x+2y=6
8x-2y=4
Combine like terms and divide by 5 on both sides.
5x=10
x=2
Plug x in to find y:
4(2)-y=2
8-y=2
y=6
<span>The question ask us to find the products which equals 216. First we have to factorize 216: 216 = 2*2*2*3*3*3. So: 216 = 1 * 216; 216 = 2 * 108; 216 = 3 * 72; 216 = 4 * 54 ; 216 = 6 * 36; 216 = 8 * 27; 216 = 9 * 24 ; 216 = 12 * 18. And because of a commutative property: 216 = 18 * 12 ; 216 = 24 * 9 ; 216 = 27 * 8 ; 216 = 36 * 6 ; 216 = 54 * 4 ; 216 = 72 * 3 ; 216 = 108 * 2; 216 = 216 * 1.</span>
Answer:
70 min
Step-by-step explanation:
If we take the hypothesis that by the end of the fifth day he had 5h20min drums practice then the remaining time to get to 7 hours practice time would be 1h40min.
