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Lina20 [59]
3 years ago
12

If cos ∅ lies in the quadrant IV, what can be the value of cos ∅?

Mathematics
2 answers:
Murljashka [212]3 years ago
3 0

Answer:

3/5

Step-by-step explanation:

The range of the cosine function is [-1, 1].  Since √41/5 is greater than 1, we eliminate answers a) and b) immediately.

If this angle lies in Quadrant IV, the "adjacent side" is positive.  Thus, the cosine of this angle must be 3/5.

OlgaM077 [116]3 years ago
3 0

D is the correct answer

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Which pair shows equivalent expressions?
DENIUS [597]

2(\frac{2}{5}x + 4) =  \frac{4}{5}x + 4 which is the second option is the equivalent expression.

Explanation:

First,  we need to calculate the value of two-fifths of x. It means 2 portions out of the five portions of x which equates to \frac{2}{5}x.

Now we calculate the values of the two expresssions on the LHS.

1) 2 (two-fifths x + 2) = 2 (\frac{2}{5}x + 2) = \frac{4}{5}x + 4.

2)  (two-fifths x + 4) = 2(\frac{2}{5}x + 4) =  \frac{4}{5}x + 8.

Now we determine values of the four expressions on the RHS.

1) Two and two-fifths x + 1 = 2\frac{2}{5}x + 1

2) Four-fifths x + 4 = \frac{4}{5}x + 4

3) Four-fifths x + 2 = \frac{4}{5}x + 2

4) Two and two-fifths x + 8 = 2\frac{2}{5}x + 8.

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7 0
3 years ago
Read 2 more answers
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A graphic artist is designing a company logo with
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Answer:

Step-by-step explanation:

Radius of outer circle = R = 9 cm

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Area of the shaded region = area of the outer circle - area of the inner circle.

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                                              = 175.84 cm²

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3 years ago
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