H(t) = Ho +Vot - gt^2/2
Vo = 19.6 m/s
Ho = 58.8 m
g = 9.8 m/s^2
H(t) = 58.8 + 19.6t -9.8t^2/2 = 58.8 + 19.6t - 4.9t^2
Maximun height is at the vertex of the parabole
To find the vertex, first find the roots.
58.8 + 19.6t - 4.9t^2 = 0
Divide by 4.9
12 + 4t - t^2 = 0
Change sign and reorder
t^2 - 4t -12 = 0
Factor
(t - 6)(t + 2) =0 ==> t = 6 and t = -2.
The vertex is in the mid point between both roots
Find H(t) for: t = [6 - 2]/2 =4/2 = 2
Find H(t) for t = 2
H(6) = 58.8 + 19.6(2) - 4.9(2)^2 = 78.4
Answer: the maximum height is 78.4 m
The price of fan was 20 Dollars 55 cents last week.
Step-by-step explanation:
Let,
The price last week = x
As the price is 27% lower than last week, therefore
(100%-27%) * Price last week = $15
73% * x = 15
Solving the percentage;

The price of fan was 20 Dollars 55 cents last week.
Keywords: Percentage, multiplication.
Learn more about percentages at:
#LearnwithBrainly
=(5x+4)°
=(2x-2)°
=(4x-6)°
we know that,
=
+
According to the question,
so,
=(4x-6)°=(4×12-6)°=(48-6)°=42°
A horizontal shift would be in the form <span><span>f(x±k)</span></span>
Answer:

Step-by-step explanation:
<u>Given:</u>
The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)
<em>And,</em>
The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).
<u>To Find</u>:
The Area of Shaded region
<u>Solution:</u>
When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:

We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .

Put their values accordingly:

<u>Simplify it.</u>
<em>[</em><em>Follow BODMAS Rule strictly while </em><em>simplifying]</em>


Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .

I hope this helps!