Answer:
0.66 and 33/50
62.5% and 5/8
0.75 and 3/4
120% and 1 1/5
0.005 and 1/200
3.75 and 375%
I hope that is correct and helps you! :)
Step-by-step explanation:
60 = a * (-30)^2
a = 1/15
So y = (1/15)x^2
abc)
The derivative of this function is 2x/15. This is the slope of a tangent at that point.
If Linda lets go at some point along the parabola with coordinates (t, t^2 / 15), then she will travel along a line that was TANGENT to the parabola at that point.
Since that line has slope 2t/15, we can determine equation of line using point-slope formula:
y = m(x-x0) + y0
y = 2t/15 * (x - t) + (1/15)t^2
Plug in the x-coordinate "t" that was given for any point.
d)
We are looking for some x-coordinate "t" of a point on the parabola that holds the tangent line that passes through the dock at point (30, 30).
So, use our equation for a general tangent picked at point (t, t^2 / 15):
y = 2t/15 * (x - t) + (1/15)t^2
And plug in the condition that it must satisfy x=30, y=30.
30 = 2t/15 * (30 - t) + (1/15)t^2
t = 30 ± 2√15 = 8.79 or 51.21
The larger solution does in fact work for a tangent that passes through the dock, but it's not important for us because she would have to travel in reverse to get to the dock from that point.
So the only solution is she needs to let go x = 8.79 m east and y = 5.15 m north of the vertex.
The sum of interior angles of a polygon with n sides is 180*(n-2)
Therefore, for this question,
n=70
the sum of interior angles=180*(70-2)=180*68=12240 degree
Pls mark me as the Brainliest as I really need it!
Answer:
$268.78
Step-by-step explanation:
We will use the compound interest formula to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
First, change 3% into its decimal form:
3% -> 
-> 0.03
Now, plug in the values:
After 10 years, you will have $268.78
Answer:
Wait are u trying to find the area of a shape???
Step-by-step explanation:
