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3 years ago

Travis makes and sells fishing lures. He

Mathematics

1 answer:

loris [4]3 years ago

3 0

11 boxes.

Explanation:
You divide 56 by 5 which will give you 11.2. Round down and you will get 11.

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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

Solve: ( 6 1/5+2 1/2) x 0.85

QveST [7]

It's 21.125 hope this works good luck ;)

6 0

3 years ago

Read 2 more answers

Patricia can buy individual songs for $1.00 to download. Also, an entire album costs $10.00 to download. She can spend no more t

Burka [1]

The system of linear inequalities x + 10y ≤ 80, x ≥ 30 and y ≤ 4 is represented in a graph below

<h3>Graph of Linear Inequality</h3>

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

To solve this problem, we would require the use of graph which can easily be done with a graphing calculator.

x + 10y ≤ 80

x ≥ 30

y ≤ 4

The graph of the inequalities is attached below

Learn more on graph of linear inequality here;

brainly.com/question/19443475

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