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3 years ago

43 - 12y = 8 41 + 12y = 56

Mathematics

1 answer:

Anna71 [15]3 years ago

7 0

Answer:

no solution

Step-by-step explanation:

+12y and -12y cancel each other out.

we are left with 43+41=8+56

84 doesn't equal 64

so NO SOLUTION

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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

3 years ago

On what interval is the function h(f)=|x+2|-2 increasing ?

VLD [36.1K]

Answer:

The increasing interval is $S=(-2,\infty)$

Step-by-step explanation:

This absolute function has a vertex in x=-2. Now, from this point, the function has a positive slope (increasing), which means for values of x equals to -1,0,1,2,3,...,n.

Therefore the interval will

$S=(-2,\infty)$

I hope it helps you!

7 0

3 years ago

Someone please solve. I keep getting 66 but it's wrong.

sashaice [31]

The unlabeled part of the right angle is complementary to 68 degrees, so 22 degrees. y is supplementary to 78 degrees, so 102 degrees. z as the third angle in the small triangle is 180 less than the sum of the other two,

z = 180 - 22 - 102

Answer: 56 degrees

7 0

3 years ago

Read 2 more answers

Can someone help please ?

MAVERICK [17]

Answer:

B because Comp A is $60 for sure plus $42.95 per month and Comp B is $25 for sure and $49.95 per month

7 0

3 years ago

A farmer has 120 feet of

sergejj [24]

Answer: D) Length: 60, Width: 30

Step-by-step explanation:

The totals of the length plus two widths of the other dimensions given do not add up to 120 feet.

3 0

3 years ago