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3 years ago

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kolbaska11 [484]3 years ago

3 0

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If the sinø=7/12, what is cosø?

777dan777 [17]

Answer:

If the sinø=7/12, cosø is $\frac{\sqrt{95} }{12}$

Step-by-step explanation:

We are given sinФ = 7/12

We need to find cosФ

The basic trigonometric functions of right triangle are:

$sin\theta=\frac{opposite}{hypotenuse}$

$cos\theta=\frac{adjacent}{hypotenuse}$

We need values of adjacent and hypotenuse to find cosФ

Using Pythagoras theorem we can find the value of adjacent

$(Hypotenuse)^2= (Opposite)^2+(Adjacent)^2$

We have Hypotenuse= 12 and Opposite = 7 (because $sin\theta=\frac{opposite}{hypotenuse}$ and we are given $sin\theta=\frac{7}{12}$

Inserting values and finding adjacent:

$(Hypotenuse)^2= (Opposite)^2+(Adjacent)^2\\(12)^2=(7)^2+(Adjacent)^2\\144=49+(Adjacent)^2\\144-49=(Adjacent)^2\\95=(Adjacent)^2\\\sqrt{(Adjacent)^2} =\sqrt{95}\\Adjacent=\sqrt{95}$

So, value of Adjacent is $\sqrt{95}$

Now finding cosФ

$cos\theta=\frac{adjacent}{hypotenuse}$

Adjacent = $\sqrt{95}$ , hypotenuse = 12

$cos\theta=\frac{\sqrt{95} }{12}$

So, If the sinø=7/12, cosø is $\frac{\sqrt{95} }{12}$

7 0

3 years ago

Two points on a line are given by the ordered pairs (-3,2) and (-3,-5). what type of line is this?

erastovalidia [21]

The both have the same x coordinate so vertical would be correct.

6 0

4 years ago

Write an algebraic expression for each of the statements below.

4vir4ik [10]

Answer:

i) 3x + 7

ii) x/3 = 9

iii) y = 2x +4

iv) y = 6x

5 0

2 years ago

C-14 has a half life if approximately 5700 years how many years will it take for the radioactivity of a sample to reach one-four

qaws [65]

This is an easy half-life problem.
Every half-life, a substance loses half its radioactivity. So, after 2 half-lives, a substance will have a quarter of its radioactivity.
2 * 5,700 = 11,400 years
answer is C

3 0

3 years ago

Which expression has the same value as -18\(-9)?<br> -18\2<br> -12\(-3)<br> -10\5<br> -8\(-4)

Rufina [12.5K]

Answer:

Step-by-step explanation:

Well -8/-4 is 2 so that is the same

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3 years ago