Answer:
We have sinθ = 12/13
The method here is to figure out the value of θ
Using a calculator sin^(-1)(12/13) =67.38°
67.38° is in quadrant 1 so we must substract 67.38° from 180° wich is π
- 180-67.38= 112.61° ⇒ θ= 112.61°
Now time to calculate cos2θ and cosθ using a calculator
- cosθ = -5/13
- cos2θ = -0.7
The values we got make sense since θ is in quadrant 2 and 2θ in quadrant 3
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The graph could represent the data shown in the table is <span>the graph goes perfectly diagonal starting from zero, up to the other corner of the graph</span>
The one that makes the most sense is C
A). 39⁄64 × 8⁄13 ====> 39 / 64 * 8 / 13 ===> 312/832 ==> 3 / 8 (Decimal: 0.375).
B). 2⁄3 × 1⁄5 × 4⁄7 ==> 2/3 * 1/5 * 4/7 ====> 8 / 105 ===> (Decimal: 0.07619)
C). 3⁄5 × 10⁄12 × 1⁄2 ===> 3/5 * 10/12 ===> 30/60 ===> 1/2 ==> 1/2 * 1/2 ===> 1/4 (Decimal: 0.25)
D). 4⁄9 × 54 ===> 4 * 54/ 9.1 ====> 216/9 ===> 24/1 ===> 24
E). 20 × 3 1⁄5 ===> 20 * 16/ 1.5 ====>320/5 ====> 64/1 =====> 64
F). 11 × 2 7⁄11 ====> 319/11 ====> 29/1 ======> 29
G). 5 1⁄3 × 5 1⁄8 ==> 16/3 * 41/8 ==> 656/24 ==> 82/3 ==> 27 1/3 ==> (Decimal: 27.33333)
H). 10 2⁄3 × 1 3⁄8 ===> 32/3 * 11/8 ===> 44 / 3 ===> 14 2/3 ==> (Decimal: 14.666667)
Hope that helps!!!! : )
Hello!
First you had to used apply rule -(-b)=b
Since the denominators are equal to it should be combine by the fractions.
Then add 4+2=6
Finally you had to cancel by the common factor of 3.
Hope this helps! And thank you for posting at here on Brainly. And have a great day! -Charlie :)
