The answer is
(0,3)
Hope this helps
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- First find the area of the whole circle
The equation is :
πr^2
Substitute the radius in:
π(5)^2
Solve:
Area of full circle = 25π
(Note : leave this answer in terms of 'pi' so it is easier to handle
Next, find the area of the sector
The equation for this is:
(angle/360) x πr^2
Substitute the values in:
(80/360) x π(5)^2
Solve :
Area of sector = (50/9)π
Now, find the area of the triangle:
1/2 absinC
Substitute the values in:
1/2(5)(5) x sin(80) = 12.31009691
Subtract this answer from the area of the sector
Answer = 5.14319607
Subtract this from the area of the whole circle
Answer = 73.39662073
To the nearest tenth, that would be 73.4 cm^2
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Step-by-step explanation:
cos(A + B) cos(A − B)
Use angle sum/difference formulas:
(cos A cos B − sin A sin B) (cos A cos B + sin A sin B)
Distribute:
cos² A cos² B − sin² A sin² B
Use Pythagorean identity:
cos² A (1 − sin² B) − (1 − cos² A) sin² B
Distribute:
cos² A − sin² B cos² A − (sin² B − sin² B cos² A)
cos² A − sin² B cos² A − sin² B + sin² B cos² A
cos² A − sin² B
Answer:
The artist used
more of silver wire
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
we know that
The Perimeter of the square is equal to

where
a is the length side of the square

so


so
Each side of the square has a length of 10 in
step 2
Find the circumference of the circle
The diameter of the circle is equal to the length of the side of the square
The circumference is equal to

we have

substitute

step 3
Find the difference

Y = n
y = x^2 + n
n > 0
since there are 2 equations equal to y, set them equal to each other and solve.
n = x^2 + n
Subtract n from both sides.
0 = x*2
Take the square root of both sides.
x = 0