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3 years ago

13

The decrease in the proposed 2015 budget for Cooperative State Research, Education and Extension Service is mainly due to a redu

ction in funding for

1 answer:

diamong [38]3 years ago

6 0

Answer:

Special Research Grants

Step-by-step explanation:

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If the terminal ray of β lies in the third quadrant and the value of sin(β) is shown below. Determine cos(β) in the simplest for

Brut [27]

Answer:

$cos \beta = -\sqrt\dfrac{2}{3}$

Step-by-step explanation:

It is given that $\angle \beta$ lies in the third quadrant.

In 3rd quadrant, sine and cosine both are negative.

Also given that:

$sin \beta =-\dfrac{\sqrt3}{3}$

We know that identity between sine and cosine as:

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

Here, $\angle \theta\ is\ \angle \beta$

Therefore, the identity can be written as:

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

Putting the value of $sin\beta$ :

$(-\dfrac{\sqrt3}{3})^2+ cos^2\beta= 1\\\Rightarrow cos^2\beta = 1 -\dfrac{3}{9}\\\Rightarrow cos^2\beta = \dfrac{9-3}{9}\\\Rightarrow cos^2\beta = \dfrac{6}{9}\\\Rightarrow cos\beta = \pm \sqrt{\dfrac{6}{9}}\\\Rightarrow cos\beta = \pm \sqrt{\dfrac{2}{3}}$

But, it is given that $\beta$ is in <em>3rd quadrant</em>. That means, value of cos $\beta$ will be <em>negative</em>.

Therefore, the correct answer is:

$cos \beta = -\sqrt\dfrac{2}{3}$

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3 years ago

Mary earned $345 babysitting in June. In July she earned $209, and she earned $198 in August. How much more did she earn in July

igomit [66]

Your answer is 62 ......................................

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2 years ago

What is the solution to this system of equations?

avanturin [10]

The answer should be x=5, y=2. Hope this helps

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2 years ago

Round 12981 to the nearest thousand

Roman55 [17]

Answer:

Step-by-step explanation:

12981 to the nearest thousand

2 is in the the thousands place

to the right of 2 is 9 and it is higher than 5

that means 2 becomes a 3 and the hundreds, tens and ones are zeros

13,000

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2 years ago

Please help me I will mark you as brainlist pls you need to pick 2 answers

deff fn [24]

Answer:

i believe the answer is option 1 and option 4

Step-by-step explanation:

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3 years ago

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