Answer:
cos(45°) = (√2)/2
Step-by-step explanation:
The cosine of 45° is the x-coordinate of the point on the unit circle where the line y=x intersects it. That is, it is the positive solution to the equation ...
x^2 +x^2 = 1
x^2 = 1/2 = 2/4 . . . . . collect terms, divide by 2, express the fraction with a square denominator
x = √(2/4) . . . . . . take the square root
x = (√2)/2 . . . . . simplify
The cosine of 45° is (√2)/2.
Answer:
34) A
35) C
36) D
Step-by-step explanation:
34) The perimeter of a triangle is equal to the sum of the lengths of its sides
Sides: (6.2p + 4.5q) + (3.4p - 0.7r) + (2.9r - 4.1q)
Combine like terms (same variables)
(6.2p + 3.4p) + (4.5q - 4.1q) + (2.9r - 0.7r)
9.6p + 0.4q + 2.2r
A
35)
Time possibilities
1 hour - $3 - $5 = $-2 No
2 hours - $6 - $5 = $1 Yes
3 hours - $9 - $5 = $4 Yes
4 hours - $12 - $5 = $7 Yes
5 hours - $15 - $5 = $10 Yes
6 hours - $18 - $5 = $13 Yes
7 hours - $21 - $5 = $16 Yes
8 hours - $24 - $5 = $19 No
9 hours - $27 - $5 = $22 No
The possible hours that Ms. Barnes can park are 2 - 7 hours
The only inequality graph that represents all of these values is C
36)
<h3>Convert to improper fractions
<h3>Divide by finding the reciprocal
<h3>Convert back to a mixed number
D
Hope this helps :)
