In which quadrant does θ lie given that sinθ > 0 and cos θ < 0

1 answer:

8 0

Quadrant IV
For an angle in the fourth quadrant the point P has positive x coordinate and negative y coordinate. Therefore: In Quadrant IV, cos(θ) > 0, sin(θ) < 0 and tan(θ) < 0 (Cosine positive).

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A home with a market value of $240,000 is assessed at 40% of the market value. What's the assessed value?

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Answer:

$96,000

Step-by-step explanation:

40% of $240,000 is ...

0.40 × $240,000 = $96,000

The assessed value is $96,000.

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Teddy has two pairs of black shoes and three pairs of brown shoes. He also has one pair of brown pants and three pairs of black

horsena [70]

Answer:

0.20 or 20%

Step-by-step explanation:

Brown shoes = 3

Black shoes = 2

Total shoes = 5

Brown pants = 1

Black shoes = 3

Total pants = 4

Brown socks =4

Black socks = 6

Red socks = 2

Total socks = 12

In order to choose shoes, pants and socks of the same color, Teddy can go either all black or all brown. For all black, there is a 2 in 5 chance he gets the right shoes, 3 in 4 chance for pants and 6 in 12 for socks. For all brown, there is a 3 in 5 chance he gets the right shoes, 1 in 4 chance for pants and 4 in 12 for socks.

$P=P(All\ black)+P(All\ brown)\\P=\frac{2}{5}*\frac{3}{4}*\frac{6}{12}+ \frac{3}{5}*\frac{1}{4}*\frac{4}{12}\\P=0.20$