162 m^2
you can make a triangle in the corner with legs length s/2 and the angles are 45 degrees. in a 45 45 90 triangle, the legs are h/sqrt(2) where h is the hypotenuse. this means that s/2=9/2 sqrt(2), s=9 sqrt(2)
and s^2=162
<h3>
Answer: Max height = 455.6 feet</h3>
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Explanation:
The general equation
y = ax^2 + bx + c
has the vertex (h,k) such that
h = -b/(2a)
In this case, a = -16 and b = 147. This means,
h = -b/(2a)
h = -147/(2*(-16))
h = 4.59375
The x coordinate of the vertex is x = 4.59375
Plug this into the original equation to find the y coordinate of the vertex.
y = -16x^2+147x+118
y = -16(4.59375)^2+147(4.59375)+118
y = 455.640625
The vertex is located at (h,k) = (4.59375, 455.640625)
The max height of the rocket occurs at the vertex point. Therefore, the max height is y = 455.640625 feet which rounds to y = 455.6 feet
F(x) = -2(x + 3)^2 - 1
vertex = (-3, -1)
domain is all real number values of x and
range is all real numbers values of y less than or equal to -1.
Answer:
True
Step-by-step explanation:
We knwo this is true because a triangle angle theorem is that the sum of the angles in a triangle is equal to 180 degrees.
Since tri = 3 then,
=> 180/3 = 60
Equal = same --> def. of equilateral triangle
Thus, we know it is true that in an equilateral triangle, each angle is 60 degrees
Hope this helps!
