Answer:
25.5
Step-by-step explanation:
first find the area od the rectangle than the triangle.
to find the area count the number of squares and use A=b*h
than do the same for the triangle using A=.5*b*h
15=3*5
10.5=.5*3*7
10.5+15=25.5
the discriminant b^2 - 4ac when the equation is in the form of ax^2 +bx+c=0
13x^2-16x = x^2 -x
we need to get in it the standard form
subtract x^2 from each side
12x^2 -16x = -x
add x to each side
12x^2 -15x = 0
12x^2 -15x -0 =0
a=12 b=-15 c=0
b^2 -4ac
the discriminant = b^2
b^2 = (-15)2 = 225
Radius = 15 feet
circumference = 2 * PI * 15 =
<span>
<span>
<span>
94.25 </span></span></span>feet
the length of the arc is 10 feet
So the angle would equal (10 / 94.25) * 360 =
<span>
<span>
<span>
0.1061007958
</span>
</span>
</span>
* 360 =
=
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<span>
<span>
38.196</span></span></span> degrees
We use the ratio x:360 to find portions of the circle (again, through the ratio)
so we use 60/360 = x/30 in^2
1/6 = x/ 30
x = 5.
The answer is 5 in^2