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3 years ago

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A total of 56 students signed up to play in a flag football league. If each team has 10 students, how many more students will ne

ed to sign up so all of the students can be on a team?

1 answer:

miskamm [114]3 years ago

6 0

46 students will sign up

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Fill in Sin, Cos, and tan ratio for angle x. <br> Sin X = 4/5 (28/35 simplified)

Fantom [35]

Answer:

Given: $\sin(x) = (4/5)$ .

Assuming that $0 < x < 90^{\circ}$ , $\cos(x) = (3/5)$ while $\tan(x) = (4/3)$ .

Step-by-step explanation:

By the Pythagorean identity $\sin^{2}(x) + \cos^{2}(x) = 1$ .

Assuming that $0 < x < 90^{\circ}$ , $0 < \cos(x) < 1$ .

Rearrange the Pythagorean identity to find an expression for $\cos(x)$ .

$\cos^{2}(x) = 1 - \sin^{2}(x)$ .

Given that $0 < \cos(x) < 1$ :

$\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}$ .

Hence, $\tan(x)$ would be:

$\begin{aligned}& \tan(x) \\ &= \frac{\sin(x)}{\cos(x)} \\ &= \frac{(4/5)}{(3/5)} \\ &= \frac{4}{3}\end{aligned}$ .

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2 years ago

Need help with math homework who can help ?

Softa [21]

What's the problem ?

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3 years ago

3 times a number is 54 less than the square of that number. Find the negative solution.

Pavel [41]

Answer:

x=-6

Step-by-step explanation:

Let x be the number

3x = x^2 -54

Subtract 3x

3x-3x = x^2 -3x-54

0 = x^2 -3x-54

Factor

What 2 numbers multiply to -54 and add to -3

-9*6 = -54

-9+6 = -3

0=(x-9) (x+6)

Using the zero product property

x-9=0 x+6=0

x=9 x=-6

The questions asks for the negative solution

x=-6

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3 years ago

torisob [31]

<u><em>The Statement </em></u>
<u><em>C.4.747<4.75 is true</em></u>
<u><em>Good luck!</em></u>

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3 years ago

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Jess takes a board that is 50 inches long and cuts it into two pieces, one of which is 16 inches longer than the other. How long

sergey [27]

Let x = the length of the shorter piece
x+x+16=50in
2x=50-16
2x=34
x=17

Then

x+16=17+16
x+16=33
Subtract 16 from both sides

The lengths are 17in and 33in

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3 years ago

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