Answer:
<u>4 1/12. (Four, one by twelve).</u>
Step-by-step explanation:
7/12 × 7 =?
7/12×7 = <u>49/12.</u>
The answer is now in improper fraction. When we convert it to mixed fraction we get the answer as <u>4 1/12. (Four, one by twelve).</u>
25x^2 = 16
divide each side by 25
x^2 = 16/25
take the square root of each side
sqrt (x^2) = +- sqrt(16/25)
x = +- sqrt(16)/sqrt(25)
x = +- 4/5
x = 4/5, - 4/5
Use the KCF method to divide
3/6 / 5/2 = 3/6 x 2/5, which equals 1/5
Hope that helps :)
Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.
