H(t)=-16t^2+1221 is the function for the height as a function of time. It will hit the ground when h=0 so:
-16t^2+1221=0
16t^2-1221=0
16t^2=1221
t^2=1221/16
t=√(1221/16) seconds
t≈8.74 seconds (to nearest hundredth of a second)
Answer:
feet, or 14.14 feet
Step-by-step explanation:
Use the arc length formula:
s = rθ
To use the formula, we have to convert the central angle to radians.
90° is equivalent to
radians, so plug this and the radius into the formula:
s = rθ
s = (9)(
)
s = 
So, the length of the arc is
feet, or approximately 14.14 feet
Answer:
1/4
3/8
5/8
2/5
Step-by-step explanation:
From the table :
1.)
P(9th grade) = (9th grade total / total) = 4 / 16 = 1/4
2.)
P(comedy) = (comedy total / total) = 6 / 16 = 3/8
3.)
P(not action) = 1 - P(action) = 1 - (action total / total) = (1 - 6/16) = 1 - 3/8 = 5/8
4.)
P(comefy | 10th grade) = P(comedy n 10th grade) / P(10th grade) = 2 / 5
I think the correct answer from the choices listed above is option C. Creating the rule 3x+12 to describe a sequence of numbers is an example of the usage of deductive reasoning. <span>Deduction is logical reasoning based on the understanding of all pieces in a given scenario.</span>
Answer:
<em>The perimeter is 72 units and the area is 149 square units.</em>
Step-by-step explanation:
has coordinates
and 
Using the distance formula.........
Length of side 
Length of side 
Length of side 
So, the perimeter of the triangle will be:
units. <em>(Rounded to the nearest unit)</em>
The height of the triangle for the corresponding base
is 8.89 units.
<u>Formula for the Area of triangle</u>, 
So, the area of the
will be:
square units. <em>(Rounded to the nearest unit)</em>