<h3>
Answer: cos(76)</h3>
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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)
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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.
They would each be about 0.6875 pounds or 11 ounces.
The additional information needed to prove both triangles are similar are:
A. ∠B ≅ ∠M
C. △ABC was rotated and dilated by a scale factor between 0 and 1
E. ∠C ≅ ∠L
<h3>What are Similar Triangles?</h3>
When a triangle is rotated and dilated by a scale factor, the new triangle formed has the same shape but different size of the original triangle. However, all its corresponding angles remains congruent.
Thus, for triangles ABC and NML to be similar to each other, since we already known each have one congruent right angles, the additional information needed are:
A. ∠B ≅ ∠M
C. △ABC was rotated and dilated by a scale factor between 0 and 1
E. ∠C ≅ ∠L
Learn more about similar triangles on:
brainly.com/question/2644832
#SPJ1
A= 100; b= 0,9
f(x)= 100.(0,9)^x
