Answer:
- Circumference = 69.14cm
- Area = 380.29cm²
Step-by-step explanation:
Circumference.
Circumference of a circle is calculated by the formula:
= Pie * diameter
= π * diameter
= 22/7 * 22
= 69.14 cm
Area
Area of circle:
= Pie * radius ²
Radius = diameter/2
= 22/2
= 11 cm
Area = 22/7 * 11²
= 22/7 * 121
= 380.29 cm²
Answer:
Step-by-step explanation:
f(x)=x^2 represents a parabola with vertex at (0, 0), that opens up.
If we translate this graph h units to the right, then g(x) will be:
g(x) = (x - h)^2.
If we translate the graph of f(x)=x^2 k units up, then g(x) will be:
f(x)=x^2 + k
Next time, please indicate whether you are shifting the original graph to the right or to the left, and/or up or down.
A quadrilateral with two pairs of sides
We solve for the area of the original triangle and solution is shown below:
Original triangle area = LW = 5*10 = 20 squared units
If we extend this x on one side that resulted to L-shaped, we have the new area such as shown below:
New area = (L+X) (W)
126 = (5+x) * 10
126/10 = 5+x
12.6 - 5 = x
7.6 =x
I. The equation that could be used to solve for x is below:
126 = (5+x)*w
II. We arrived on this because of the statement that "x is added to one side that resulted to L-shaped rectangle, therefore it is added on 5 ft side"
III. The value of x is equal to 7.6 ft.
The equation that gives the height is h(t) = - 16t^2 + 18t + 5, which is a parabola.
You cand find the maximum height from the vertex of the parabola.
Let's find the vertex. I will complete squares:
Start by extractin common factor -16:
-16t^2 + 18t + 5 = -16 [t^2 - (18/16) t - 5/16]
I will work with the expression inside the square brackets.
t^2 - (18/16)t - 5/16 = t^2 - (9/8) t - 5/16 =
Completing squares: (t - 9/16)^2 - (9 / 16 )^2 - 5/16
(t - 9/16)^2 - 81/ 256 - 5/16 = (t -9/16)^2 - 161/256
Now, include add include the factor -16[ (t- 9/16)^2 + 161/256 ] =
= -16 (t - 9/16)^2 + 161/16
That means that the vertex is 9/16, 161/16
So, the maximum height is 161 / 16 = 10,06, which is lower than the fence.
Answer: She will not make it over the fence.
