The figure is right triangle with base =segment AB = 3 and height = segment AC = 2.

The angle B has tangent, tan (B) = 2 / 3

The angle C, has tangent, tan (C) = 3 / 2

Then, the answer is option C, tan C

5 0

3 years ago

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After 50 soccer games, the ratio of wins to losses is 3:7. How many games did the team win? Explain how you found your answer

zalisa [80]

Answer:The team won 15 games

Step-by-step explanation:

Given no of soccer games =50

Ratio of wins to losses =3:7

Let no of wins = $3x$

and no of losses = $7x$

Now

$3x+7x=50$

$10x=50$

Dividing both sides by 10

x=5

So no of wins =3x = $3\times5$

=15

We found the answer as 10 parts equals 50

So 3 parts equals 15

4 0

3 years ago

Polygon PQRS, shown in the figure, is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in p

nata0808 [166]

Based on the above:

The slope of P'Q' is = -3/2

The length of P'Q' is approximately = $\sqrt[3]{13}$

<h3>What is the polygon about?</h3>

The slope of P'Q'

= -6/4 = -3/2

The length of P'Q' =

P'Q' = $\sqrt{6^2 + 4^2}$

= $\sqrt{52}$

= $\sqrt[2]{13}$

Therefore;

P'Q' = $\frac{3}{2}$

P'Q' = $\frac{3}{2}$ x $\sqrt[2]{13}$

= $\sqrt[3]{13}$

Learn more about polygon from

brainly.com/question/1592456

#SPJ1

7 0

2 years ago

John worked 43 hours last week. His hourly rate is $9.00. He has the following deductions taken from his pay: Social Security ta

disa [49]

Assuming John does not get premium pay for hours over 40, his pay will be ...

... 43 hours × $9.00 = $387

... - 6.2% × $387 = $23.99

... - 1.45% × $387 = $5.61

... - $15.00

... - 5% × $387 = $19.35

... - 10% × ($387 -19.35) = $36.77

... = $286.28 . . . . net pay after all the deductions

6 0

4 years ago

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Which expressions are equivalent to 10 + 4I​

Which expressions are equivalent to 10 + 4I