Step-by-step explanation:
27x² = 3*3*3*x*x
45x³y² = 3*3*5*x*x*x*y*y
Now
GCF = 3 * 3 *x * x = 9x²
<h3>
Answer: cos(76)</h3>
=========================================================
Explanation:
The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:
cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
cos(A)cos(B) + sin(A)sin(B) = cos(A - B)
cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)
cos(94)cos(18) + sin(94)sin(18) = cos(76)
----------
We can verify this by use of a calculator. Make sure your calculator is in degree mode.
- cos(94)cos(18) + sin(94)sin(18) = 0.24192
- cos(76) = 0.24192
Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.
Answer:
1.5
Step-by-step explanation:
2 ft. / the number of sides for width (2) = 1 then 3 ft. / number of sides for length (2) = 1.5
1.5 x 1 = 1.5
50 is 46.82 rounded to the nearest ten
