Answer:
It will take the boulder approximately 4.28 seconds to hit the road
Step-by-step explanation:
The given height of the cliff from which the boulder falls, h = 90 feet
The equation that can be used to find the time it takes the boulder to fall is h = u·t + (1/2)·g·t²
Where;
h = The height of the cliff = 90 ft.
u = The initial velocity of the boulder = 0 m/s (The boulder is assumed to be at rest when it falls)
g - The acceleration due to gravity ≈ 9.81 m/s²
t = How long it will take for the boulder to hit the road below
Plugging in the values gives;
90 = 0 × t + (1/2)×9.81×t² = 4.905·t²
∴ t = √(90/4.905) ≈ 4.28
The time it takes the boulder to hit the road, t ≈ 4.28 seconds.
by solving the first equation you'll get x= -24/13
if you solve the second option (B) then you'll the same result i.e x=-24/13
so option C is correct
Answer:
$843.67
Step-by-step explanation:
1% = 7.8848
7.8848 x 7 = 55.1936
788.48 + 55.1936 = 843.6736
Rounded to nearest cent = $843.67
Let x equal the number of strawberries while y is the total amount of money she had.
The equation is: 2.25(x)+8.75=y.
Then, if she bought 4 pounds of strawberries, it would work as follows: 2.25(4)+8.75 is the total amount. That means 9+8.75 would be the total. Thus, the amount of money she started out with was 17.75 dollars.
