If you would like to solve for x: 3x - 24 = 81, you can do this using the following steps:
<span>3x - 24 = 81
</span>3x = 81 + 24
3x = 105
x = 105 / 3
x = 35
The correct result would be 35.
<span>The </span>area<span> of the </span>sector<span> of a </span>circle<span> with a </span>radius<span> of </span>8 centimeters<span> is </span>125.6 square centimeters<span>. The </span>estimated value<span> of is </span>3.14<span>. ... First find the </span>area<span> of the entire </span>circleA=3.14*82<span>=200.96 </span>cm2<span> this is the </span>area<span> for 360</span>o<span> or entire </span>circle<span>. The </span>area<span> of the </span>sector<span> represents an</span>angle<span> less then 360 and is simply the ratio of ...</span>
Cos(A-B) = cosAcosB + sinAsinB
<span>
cos(</span>π/2 - θ) = cos(π/2)cosθ + sin(π/2)sinθ
π/2 = 90°
cos(π/2) = cos90° = 0. sin(π/2) = sin90° = 1
cos(π/2 - θ) = cos(π/2)cosθ + sin(π/2)sin<span>θ
</span>
= 0*cosθ + 1*sin<span>θ = </span>sin<span>θ
Therefore </span>cos(π/2 - θ) = sin<span>θ
QED </span>
Let's try to find some primes that divide this number.
The number is not divisible by 2, because it is odd.
The number is divisible by 3 though, because the sum of its digits is:
So, we can divide the number by 3 and keep going with the factorization:
This number is again divisible by 3, because
We have
This number is no longer divisible by 3. Let's go on looking for primes that divide it: 5 doesn't because the number doesn't end in 0 nor 5. This number is not divisible by 7 or 11 either (just try). It is divisible by 13 though: we have
And 557 is prime, so we're done. This means that the prime factorization of 65169 is
