Answer:
The percentage decrease in the depth is 45%
Step-by-step explanation:
January, lake depth = 1086 feet
august, lake depth = 597.3 feet
The decrease in depth = 1086 - 597.3
= 488.7 feet
Percentage decrease = decrease over January lake depth multiply by 100%
% decrease = (488.7/1086)*100%
=0.45*100%
= 45%
Answer:
10.5 ft high
5.3 ft horizontally
Step-by-step explanation:
The equation can be written in vertex form to answer these questions.
f(x) = -0.2(x² -10.5x) +5
f(x) = -0.2(x² -10.5x +5.25²) +5 +0.2(5.25²)
f(x) = -0.2(x -5.25)² +10.5125
The vertex of the travel path is (5.25, 10.5125).
The maximum height is 10.5 feet, which occurs 5.3 feet (horizontally) from the point of release.
Answer:
The distance from point A to given line is: 2√5 or 4.472 units
Step-by-step explanation:
Given equation of line is:

And the point is:

The standard form of equation of line is:

Converting the given equation into standard form

The distance of a point (x1,y1) from a line is given by the formula:

In the given details,
A = -1, B = 2, C = -14
x1 = -14, y1 = 5
Putting the values in the formula

Hence,
The distance from point A to given line is: 2√5 or 4.472 units
Hi,
if it's 11:24, it wil be 12:13
✅(◠‿◕)
Answer:
6
Step-by-step explanation:
n ! = n(n - 1)(n - 2)..... × 3 × 2 × 1
Given
(n - 1) ! with n = 4, then
(4 - 1) !
= 3 ! = 3 × 2 × 1 = 6