Answer:
√2(√3 - 1)/4
Step-by-step explanation:
To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).
Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,
Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°
Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.
Substituting these values into the above equation, we have
Cos75° = Cos(45° + 30°)
= Cos45°Cos30° - Sin45°Sin30°
= √2/2 × √3/2 - √2/2 × 1/2
= √6/4 -√2/4
= √2(√3 - 1)/4
Answer:
2.07 x 10^4
Step-by-step explanation:
Answer:
62.44
Step-by-step explanation:
Line up the decimals and then add them up like usual, and then place the decimal where it should go. THen you get your answer.
Hope this helped!
A = (2+9)/2
a = 11/2
a = 5.5
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b = (4+4)/2
b = 4
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d = √(9-2)²+(4-4)²
d = √7²+0²
r = 3,5
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(x-a)² + (y-b)² = r²
(x-5.5)² + (y-4)² = 3,5²
(x-5.5)² + (y-4)² = 12.25