Answer:
a.) 1.38 seconds
b.) 17.59ft
Step-by-step explanation:
h(t) = -16t^2 + 22.08t + 6
if we were to graph this, the vertex of the function would be the point, which if we substituted into the function would give us the maximum height.
to find the vertex, since we are dealing with something called "quadratic form" ax^2+bx+c, we can use a formula to find the vertex
-b/2a
b=22.08
a=-16
-22.08/-16, we get 1.38 when the minuses cancel out. since our x is time, it will be 1.38 seconds
now since the vertex is 1.38, we can substitute 1.38 into the function to find the maximum height.
h(1.38)= -16(1.38)^2 + 22.08t + 6 -----> is maximum height.
approximately = 17.59ft -------> calculator used, and rounded to 2 significant figures.
for c the time can be equal to (69+sqrt(8511))/100, as the negative version would be incompatible since we are talking about time. or if you wanted a rounded decimal, approx 1.62 seconds.
1 hr and 45 minutes. EST is 1 hour ahead of CST
Answer:
Since opposite sides of parallelogram are equal therefore
9r-6=8r+3
r=9
EF=4r+19{opposite sides of parallelogram are equal}
=4×9+19
36+19
=55
Here is you answer.
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
We need to write our answer in exponential form. Ask yourself the question, "What times itself 3 times will give you 2197?" Your answer is 
. This will go inside of your cube root. You now have ![\sqrt[3]{13^{3} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B13%5E%7B3%7D%20%7D)
. Since there's a power of 3 and a cube root, those cancel each other out, and your answer is 13.
Answer:
15.14 cm^2
Step-by-step explanation:
Area of rectangle = 4cm x 3 cm = 12cm^2
Radius of the circle = 2 cm
Area of 1/4 of a circle = (pi x r^2) / 4
= (3.14 x 4) / 4 = 3.14 cm^2
3.14 cm^2 + 12cm^2 = 15.14 cm^2
