How can you express (16 + 40) as a multiple of a sum of whole numbers with no common factor?
1 answer:
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Answer:
,
Step-by-step explanation:
Let be the end of the terminal side of angle
in standard position, that is, an angle measured with respect to +x semiaxis. By Trigonometry, we know that the sine and the cosine of the angle are, respectively:
(1)
(2)
If we know that and
, then the sine and the cosine of the angle are:
✩ Answer:
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✩ Step-by-step explanation:
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✺ Quadratic polynomials can be factored using the transformation , where
and
are the solutions of the quadratic equation
:
✺ All equations of the form can be solved using the quadratic formula:
✺ The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction:
✺ Take the square root of :
✺ Multiply times
:
✺ Now solve the equation when ± is plus. Add
to
:
✺ Divide by
:
-OR-
✺ Now solve the equation when ± is minus. Subtract
from
:
✺ Divide by
:
✺ Optional : Factor the original expression using . Substitute
for
and
for
:
✩ Answer:
✺ <u>Factored Form</u>:
✺ <u>Exact Form</u>:
✺ <u>Graph Point Form</u>:
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Answer:
209.55in²
Step-by-step explanation:
Find area of sector CADE
Radius =22 in
Angle=90°
Formula to apply is ;
Ф/360 × π × r² where
Ф=angle of sector, π=3.142 and r =radius of circle
Find area of triangle CAD where base length is 22 inches and height is 22 inches
Area of triangle formula is;
1/2×b×h where b is base and h is height
Find area remaining
380.182-242=138.182in²
Find the area of sector CBDF
Radius=28in
Angle=60°
Formula to apply is ;
Ф/360 × π × r² where
Ф=angle of sector, π=3.142 and r =radius of circle
Area of triangle BDC
The formula to apply is
1/2×a×a×sinФ where a=28 inches and Ф=60°
Remaining area
410.55-339.48=71.075in²
Area created by overlapping circles
138.182+71.075=209.26in²