Answer:
<em>3 seconds</em>
Step-by-step explanation:
Given the height modelled by the function
h(t) = -16t² + 16t + 96
The hit the water at h(t) = 0
0 = -16t² + 16t + 96
Divide through b y -16
0 = t² - t - 6
t² - t - 6 = 0
t² - 3t+2t - 6 = 0
t(t-3)+2(t-3) = 0
t+ 2 = 0 and t - 3 = 0
t = -2 secs and t = 3secs
Since t can't be negative, hence;
t = 3 secs
<em>hence it will take 3 seconds until Devon hit the water</em>
<h2>
Answer:</h2>
The ratio of the area of region R to the area of region S is:
<h2>
Step-by-step explanation:</h2>
The sides of R are in the ratio : 2:3
Let the length of R be: 2x
and the width of R be: 3x
i.e. The perimeter of R is given by:
( Since, the perimeter of a rectangle with length L and breadth or width B is given by:
)
Hence, we get:
i.e.
Also, let " s " denote the side of the square region.
We know that the perimeter of a square with side " s " is given by:
Now, it is given that:
The perimeters of square region S and rectangular region R are equal.
i.e.
Now, we know that the area of a square is given by:
and
Hence, we get:
and
i.e.
Hence,
Ratio of the area of region R to the area of region S is:
You can think of "per cent" as meaning "divided by 100". Thus
.. 24% = 24/100
This fraction can be reduced by removing a factor of 4 from numerator and denominator:
.. 24% = 24/100 = 6/25
Answer:
12 gallons
Step-by-step explanation:
Total gallons = 16 gallons
Total distance = 460 miles
Fuel efficiency in the highway = 30 miles per gallon
Fuel efficiency in the city = 25 miles per gallon
Let
h = gallons of gasoline were used on the highway.
460 = 30h + 25(16 - h)
460 = 30h + 400 - 25h
460 - 400 = 30h - 25h
60 = 5h
h = 60/5
h = 12 gallons
12 gallons of gasoline were used on the highway.
