Answer: <u><em>Diameter = 10cm</em></u>
<u><em>Circumference = 31.4cm</em></u>
<u><em>Area = 78.57cm2</em></u>
Step-by-step explanation: Radius = 5cm
→Diameter = 2×radius
= 2×5 = 10cm
Diameter = 10cm
→ Circumference = 2 ×22/7 × 5
= 220/7
=31.4cm
→ Area = 22/7 × 5 × 5
22/7× 25 = 78.57cm2
1 hour = 60 minute
300/60 = 50 doughnuts per minute
Two ways:
Step-by-step explanation:
1. First way. Using the trig unit circle.
tan (pi - x) = - tan x
2. Second way. Apply the identity:
tan(a-b)=tan a- tan b/ 1 - tan a×tan b
tan (π - x)= tan π - tanx/1 - tan(π)×tanx
Since tan (pi) = 0, therefor:
tan(π−x)=−tanx
Since the origin is the center of dilation. Take every vertex in the polygon ABCD and multiply it by 2 since the dilation factor is 2. It will result to polygon A'B'C'D'. Compare then the points given to the new points after dilation.
We have
f(x)=(x-7)/(x²<span>-7x-8)
resolving the quadratic equation
using a graph tool-------- > see the attached figure
x=-1 x=8
therefore
</span>(x-7)/(x²-7x-8)=(x-7)/[(x+1)*(x-8)
the answer is -1 and 8