The complete question in the attached figure
we know that
area of semi circle=pi*r²/2
diameter=5 ft
radius r=5/2----> 2.5 ft
so
area of semicircle=pi*2.5²/2-----> 9.8125 ft²
<span>the area of each stained glass section=area semicircle/3
</span><span>the area of each stained glass section=9.8125/3----> 3.27 ft</span>²---> 3 ft²
the answer is3 ft²
Okay, so let's start with the labeling first:
(-4 = x1, 3 = y1) and (5 = x2, -6 = y2)
So now it's time to use the formula:
x Midpoint = (x1 + x2) / 2
y Midpoint = (y1 + y2) / 2
So then that would be:
x Midpoint = (-4 - 5) = (4 + 5) / 2 = 4.5
y Midpoint = (3 - -6) = (3 + 6) / 2 = 4.5
So therefore our answer for the midpoint would be:
(4.5, 4.5) which is D
Answer:
y = 1/6 x^2 + 8/3 x + 49/6
Step-by-step explanation:
This is a parabola which opens upwards.
The distance of a point (x, y) from the focus is
√[(x - -8)^2 + (y - -1)^2] and
the distance of the point from the line y = -4
= y - -4
These distances are equal for a parabola so:
√[(x - -8)^2 + (y - -1)^2] = y + 4
Squaring both sides:
(x + 8)^2 + (y + 1)^2 = (y + 4)^2
x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16
x^2 + 16x + 64 + 1 - 16 = 8y - 2y
6y = x^2 + 16x + 49
y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.
The steps to this problem would be first simplifying 9e^6 x-2+7=45 to 9e^6x+5.Which translates into 9e^6 x+5=45.
Then Subtract 5 from both sides : 9e^6 x = 45 - 5Now simplify 45-5 to 40
9e^6 x = 40
Now divide both sides by 9:
e^6 x = 40/9
Then divide both sides by e^6
x = 40/9/e^6
And finally simplify that into x = 40/9e^6. That's your final answer. Comment if you need more help or for me to explain more. Hope this helped :)
Answer:
4,424 cookies
Step-by-step explanation:
14 times 316 is 4,424 cookies.