Answer:
Step-by-step explanation:
I suspect it is 64 not 65,
9x^2-64y^2
= (3x - 8y)(3x + 8y).
(If it is 65 there are no factors)
Answer:
She read 15 fiction books
Step-by-step explanation:
Multiply 10 x 3 = 30
so she reads 30 non fiction books and she reads half as many fiction books as she reads nonfiction.
Divide 30/2=15
<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.
Answer:
(2)
Step-by-step explanation:
One property of a parallelogram is
• opposite angles are congruent, hence
∠L = ∠N and ∠M = ∠P
Using ∠L = ∠N, then
8x - 41 = 6x + 3 ( subtract 6x from both sides )
2x - 41 = 3 ( add 41 to both sides )
2x = 44 ( divide both sides by 2 )
x = 22
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∠M = 2x + 1 = (2 × 22) + 1 = 44 + 1 = 45°
∠P = ∠M = 45° → (2)
Answer:
5/18 is the answer to this question
Step-by-step explanation:
