<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:
schläfli symbol {50}, t{25}
Coxeter diagram
Symmetry group Dihedral (D50), order 2×50
Internal angle (degrees) 172.8°
5 more rows
Step-by-step explanation:
The formula of an area of a triangle:
b - base
h - height
We have b = 8x and h = 7x. Substitute:
<h3>Answer: 28x²</h3>
Answer:
Step-by-step explanation:
<u>STU is an equilateral triangle. And:</u>
- ST = 2x - 1
- SU = 5x - 37
- TU = x + 11
<u>All sides are equal. Then take one pair and solve for x:</u>
- 2x - 1 = 5x - 37
- 3x = 36
- x = 12
<u>Substitute x to find the side length:</u>
- 2x - 1 = 5x - 37 = x + 11 = 23
