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Troyanec [42]
3 years ago
13

Find all 6 trig functions given the terminal side goes through point (0,-3)

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
8 0
So hmm notice the picture below

that's (0, -3)

now, keep in mind, adjacent is 0, opposite is -3, and hypotenuse, or radius, is 3

and recall  sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\\\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}
\qquad \qquad 
% cotangent
cot(\theta)=\cfrac{adjacent}{opposite}
\\ \quad \\

% cosecant
csc(\theta)=\cfrac{hypotenuse}{opposite}
\qquad \qquad 
% secant
sec(\theta)=\cfrac{hypotenuse}{adjacent}

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Neporo4naja [7]

You have to find the unit rate, which in this case means the amount of fish you need per serving of soup.

If 16 oz of fish makes 24 servings, then 16/24 oz = 2/3 oz makes 1 serving.

Now multiply both quantities by 10, so that 10 servings require 20/3 oz ≈ 6.67 oz of fish.

A more direct way to do this is to solve for <em>x</em> in the following equation:

(16 oz fish) / (24 servings) = (<em>x</em> oz fish) / (10 servings)

Then (omitting units)

<em>x</em> = 10 • 16 / 24 = 20/3

7 0
3 years ago
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vova2212 [387]
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Step by Step explanation
8 0
3 years ago
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What is 347,168 round to then thoudands
Finger [1]

Answer:

347,168 rounded to the nearest ten thousands would be 350,000.

Step-by-step explanation:

When rounding to the nearest ten thousands, you rely on the thousands place value to indicate whether to round up or down. 5 or higher give it a shove, 4 or less let it rest. 7 is in the thousands place meaning we round up. 4 is in the ten thousands place meaning it becomes 5. 347,168 rounded to the nearest ten thousands would be 350,000.

8 0
3 years ago
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Simplify 7(2x+y)+6(×+5y)
iris [78.8K]

Simplify, <em>7(2x+y)+6(x+5y).</em>

<em>a:</em> <em>20x+37y</em>

<em> (7 • (2x + y)) +  6 • (x + 5y) </em>

<em>Step  2  : </em>

<em>Equation at the end of step  2  : </em>

<em>  7 • (2x + y) +  6 • (x + 5y) </em>

<em>Step  3  : </em>

<em>Final result : </em>

<h3><em> </em><em> 20x + 37y</em></h3>

Thanks,

<em>Deku ❤</em>

4 0
3 years ago
What is the image of (-9,0) after a reflection over the line y=x
SpyIntel [72]

Answer:

(0,-9)

Step-by-step explanation:

The image of a point (x,y) over a line y=x is given by the co-ordinate rule:

(x,y) → (y,x)

So, when we reflect a point over the line y=x, the x co-ordinate and y co-ordinate change their places.

Here, (x,y) is (-9,0). So, from the above rule, after reflection over the line y=x, the image has the following co-ordinates:

(0,-9)

4 0
3 years ago
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