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4 years ago

I really need help with this can someone please help me with these questions thanks

Mathematics

1 answer:

ehidna [41]4 years ago

8 0

See the attachment for answers and solving.

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Cos(−θ)=√3/3, sinθ<0

Delicious77 [7]

Answer:

$\sin\theta=-\frac{\sqrt{6}}{3}$

Step-by-step explanation:

The given trigonometric equation is $\cos(-\theta)=\frac{\sqrt{3} }{3}$ .

We can either use the Pythagorean identity or the right angle triangle to solve for $\sin\theta$ .

According to the Pythagorean identity,

$\cos^2\theta+\sin^2\theta=1$

Recall that, the cosine function is an even function, therefore

$\cos(-\theta)=\cos(\theta)$

$\Rightarrow \cos(\theta)=\frac{\sqrt{3} }{3}$ .

We substitute this value in to the above Pythagorean identity to get;

$(\frac{\sqrt{3}}{3})^2+\sin^2\theta=1$

$\Rightarrow \frac{3}{9}+\sin^2\theta=1$

$\Rightarrow \sin^2\theta=1-\frac{3}{9}$

$\Rightarrow \sin^2\theta=\frac{6}{9}$

$\Rightarrow \sin\theta=\pm \sqrt{\frac{6}{9}}$

$\Rightarrow \sin\theta=\pm \frac{\sqrt{6}}{3}$

But we were given that,

$\sin\theta\:$ , so we choose the negative value.

$\Rightarrow \sin\theta=-\frac{\sqrt{6}}{3}$

The correct answer is B

7 0

4 years ago

Which point-slope form equation represents a line that passes through (3,-2) with a slope of -4/5

son4ous [18]

Answer:

y + 2 = - $\frac{4}{5}$ (x - 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - $\frac{4}{5}$ and (a, b) = (3, - 2), hence

y - (- 2) = - $\frac{4}{5}$ (x - 3), that is

y + 2 = - $\frac{4}{5}$ (x - 3)

3 0

4 years ago

What’s the algebraic expression of ? Twice the sum of a number n and 2 ?

Mandarinka [93]

Answer:

A is the answer. 2(n+2)

5 0

3 years ago

Read 2 more answers

Determine the domain of the function. f as a function of x is equal to the square root of seven plus x.

timofeeve [1]

The third one. x is greater than it or equals to -7

7 0

3 years ago

Read 2 more answers

1 Two high school basketball teams have identical records of 15 wins and 2 losses. Sunnyside High School's mean score is 50 poin

yanalaym [24]

Answer:

Lin likes Sunnyside High School

Step-by-step explanation:

The Mean Absolute Deviation (MAD) is a measure of how dispersed the values are, in this case the score of the teams. So, Sunnyside High School, with a low MAD, scores nearly the same amount of points in every game.

6 0

4 years ago