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Reika [66]
3 years ago
8

An expression is shown below:

Mathematics
1 answer:
seraphim [82]3 years ago
7 0
3(m + 5 + 9m)

A.
(1) 3m + 15 + 27m
(2) 3(10m + 5)

B. 3(m + 5 + 9m)....distributive property
     (3 * m) + (3 * 5) + (3 * 9m) =
    3m +  15 + 27m

C. 3(m + 5 + 9m) = 3(10m + 5)......m = 1
     3(1 + 5 + 9(1) = 3(10(1) + 5)
     3(1 + 5 + 9) = 3(10 + 5)
     3(15) = 3(15)
     45 = 45

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A team consisting of Persephone, Neptune, Ares, and Roger need to select one person to be team captain. In how many ways can thi
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5 0
3 years ago
find the value of the trigonometric function sin (t) if sec t = -4/3 and the terminal side of angle t lies in quadrant II
kodGreya [7K]

Answer:

sin(t) =\frac{\sqrt{7}}{4}

Step-by-step explanation:

By definition we know that

sec(t) = \frac{1}{cos(t)}

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As sec(t) = -\frac{4}{3}

Then

sec(t) = -\frac{4}{3}\\\\\frac{1}{cos(t)} =-\frac{4}{3}\\\\cos(t) = -\frac{3}{4}

Now square both sides of the equation:

cos^2(t) = (-\frac{3}{4})^2

cos^2(t) = \frac{9}{16}\\\\

1-sin^2(t) =\frac{9}{16}\\\\sin^2(t) =1-\frac{9}{16}\\\\sin^2(t) =\frac{7}{16}\\\\sin(t) =\±\sqrt{\frac{7}{16}}

In the second quadrant sin (t) is positive. Then we take the positive root

sin(t) =\sqrt{\frac{7}{16}}

sin(t) =\frac{\sqrt{7}}{4}

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3 years ago
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