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3 years ago

7

The four swimmers listed in the table are trying out for the swim team. If 3 swimmers will make the team, how many combinations

of 3 swimmers are possible? 3

1 answer:

dolphi86 [110]3 years ago

5 0

Number of combinations =( 4 x 3 x 2) / (1 x 2 x 3) = 4

Answer: 4 Combinations

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Please help with the question in the picture!

Stella [2.4K]

Answer:

Tan C = 3/4

Step-by-step explanation:

Given-

∠ A = 90°, sin C = 3 / 5

<u>METHOD - I</u>

<u><em>Sin² C + Cos² C = 1</em></u>

Cos² C = 1 - Sin² C

Cos² C = $1 - \frac{9}{25}$

Cos² C = $\frac{25 - 9}{25}$

Cos² C = $\frac{16}{25}$

Cos C = $\sqrt{\frac{16}{25} }$

Cos C = $\frac{4}{5}$

As we know that

Tan C = $\frac{Sin C}{Cos C }$

<em>Tan C = $\frac{\frac{3}{5} }{\frac{4}{5} }$ </em>

<em>Tan C = $\frac{3}{4}$ </em>

<u>METHOD - II</u>

Given Sin C = $\frac{3}{5} = \frac{Height}{Hypotenuse}$

therefore,

AB ( Height ) = 3; BC ( Hypotenuse) = 5

<em>∵ ΔABC is Right triangle.</em>

<em>∴ By Pythagorean Theorem-</em>

<em>AB² + AC² = BC²</em>

<em>AC² </em><em>= </em><em>BC² </em><em>- </em><em> AB</em><em>² </em>

<em>AC² = 5² - 3²</em>

<em>AC² = 25 - 9</em>

<em>AC² = 16</em>

<em>AC ( Base) = 4</em>

<em>Since, </em>

<em>Tan C = $\frac{Height}{Base}$ </em>

<em>Tan C = $\frac{AB}{AC}$ </em>

<em>Hence Tan C = $\frac{3}{4}$ </em>

<em />

4 0

3 years ago

Please help! <br><br> 6.2 divided by (2x + 1)= 2 1/3 divided by 4

guajiro [1.7K]

Answer:

x=2/3

Step-by-step explanation:

(2x+1)/2 = 2 1/3/4

Multiply 4 on both sides:

2x+1=2 1/3

Rewrite:

2x+1=7/3

Subtract 1 on both sides:

2x=4/3

Divide 2 on both sides:

x=2/3

Thus x=2/3

Hope this helps!

7 0

2 years ago

Read 2 more answers

What percent of 150 is 9?

irga5000 [103]

One of the ways to find the answer is to find how much 1 percent of 150 is. To do that we just have to divide 150 by 100:

150 / 100 = 1.5

Now we can divide 9 by 1.5 to know how much percent of 150 it is:

9 / 1.5 = 6

Let's check it:

150 * 6% = 150 * 6/100 = 15 * 6/10 = 3 * 6/2 = 18/2 = 9

It's correct then :)

3 0

3 years ago

A spherical ball has a diameter of 12 inches. The ball has a slow leak in which air escapes at the rate of 4.5 cubic inches per

stellarik [79]

Answer:

Step-by-step explanation:

It would be 54 because 12*4.5 = 54.

6 0

3 years ago

Can you help with number 18 please?

motikmotik

$16.1 - 0.25 = 15.85$

6 0

3 years ago