I will take 4 hours for it to be be 12 inches above its flood stage
Answer:
See explanation
Step-by-step explanation:
Triangle ABC ha vertices at: A(-3,6), B(0,-4) and (2,6).
Let us apply 90 degrees clockwise about the origin twice to obtain 180 degrees clockwise rotation.
We apply the 90 degrees clockwise rotation rule.




We apply the 90 degrees clockwise rotation rule again on the resulting points:



Let us now apply 90 degrees counterclockwise rotation about the origin twice to obtain 180 degrees counterclockwise rotation.
We apply the 90 degrees counterclockwise rotation rule.




We apply the 90 degrees counterclockwise rotation rule again on the resulting points:



We can see that A''(3,-6), B''(0,-4) and C''(-2,-6) is the same for both the 180 degrees clockwise and counterclockwise rotations.
Answer:
1428 cubic inches
Step-by-step explanation:
The volume of a rectangular prism is
, where V represent volume, l is the length, w is the width, and h is the height.
You are given that the length is 12 inches, the width is 7 inches, and the height is 17 inches.
Solve.
V = 12 * 7 * 17
V= 1428 in³
Answer:
x > -1
Step-by-step explanation:
-3x +3 < 6
-3x < 6 - 3 (subtract 3 from both sides)
-3x < 3 (divide both sides by 3)
-x < 1 (multiply both sides by -1, remember to flip the inequality when multiplying both sides by negative numbers)
x > -1 (answer)
Answer:
Compound interest = $365.4
Step-by-step explanation:
Given:
Amount borrowed = $6,000
Rate of interest = 3%
Number of year = year
Find:
Compound interest
Computation:
A = P[1+r]ⁿ
Amount after 2 year = 6,000[1 + 3%]²
Amount after 2 year = 6,000[1 + 0.03]²
Amount after 2 year = 6,000[1.03]²
Amount after 2 year = 6,000[1.0609]
Amount after 2 year = 6,365.4
Compound interest = Amount after 2 year - Amount borrowed
Compound interest = 6,365.4 - 6,000
Compound interest = $365.4