<h3>
Answer: 30.78181 meters</h3>
The value is approximate. Round that however you need to.
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Explanation:
- lowercase a = side opposite angle uppercase A
- lowercase b = side opposite angle uppercase B
- b = AC
Using the law of sines, we can say:
a/sin(A) = b/sin(B)
45/sin(30) = b/sin(20)
b/sin(20) = 45/sin(30)
b = sin(20)*45/sin(30)
b = 30.78181 approximately
You'll need to make sure your calculator is in degree mode.
<h3>Answer: Choice C</h3>
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Explanation:
The x coordinate of the preimage point Q is x = 6.
The x coordinate of the image point Q' is x = 21.
The ratio of image over preimage is 21/6 = (3*7)/(3*2) = 7/2
You'll get this same value if you do the same steps with the y coordinates.
Therefore, the scale factor is 7/2 and the dilation rule is 
Note: 7/2 = 3.5
Answer: 56
Step-by-step explanation:
Since we are informed that Isaac’s dad built a shelf for his video games that is 42 inches wide and that each video game is 6/8 inches wide.
The number of video games that Isaac can fit on the shelf will be gotten by dividing the length of the shelf by the width of each video game. This will be:
= 42 ÷ 6/8
= 42 × 8/6
= 56
Therefore, Isaac can fit 56 video games on the shelf.
