The ratio of boys to girls in Mr. Yang's class is 4:3. If there are 16 boys in the class, how many girls are there? O A. 8 girls
2 answers:
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Answer:
B. 39.59
Step-by-step explanation:
So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as . So let's plug in known values:
Multiply both sides by x
divide both sides by sin(43)
Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682
simplify the fraction
Answer:
Step-by-step explanation:
From inspection of the graph, we can see that the curve intercepts the x-axis at (-4, 0), (-1, 0) and (3, 0)
Therefore,
x = -4 ⇒ x + 4 = 0
x = -1 ⇒ x + 1 = 0
x = 3 ⇒ x - 3 = 0
Because (-4, 0) touches the x-axis, then (x + 4)² will be a factor
So (x + 4)², (x + 1) and (x - 3) are all factors of the polynomial
If we multiply the constants, this will give us the y-intercept:
⇒ 4² x 1 x -3 = -48
From inspection of the graph, the y-intercept is -6
So to get from -48 to -6 we need to multiply -48 by 1/8
Therefore, n = 1/8