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victus00 [196]
2 years ago
8

Find cos q if q is an angle in standard position and the point with coordinates (3, –4) lies on the terminal side of the angle.

Mathematics
1 answer:
gayaneshka [121]2 years ago
8 0

Answer:

cos q = 3/5

Step-by-step explanation:

Standard position means the vertex (point or corner of the angle) is at (0,0) and one side of the angle is glued to the positive x-axis (facts, but not technical math terms) See image. Special triangles have all three sides nice and clean with whole number lengths, we call these Pythagorean triples. 3-4-5 is your most basic Pythagorean triple. So we don't even have to calculate the hypotenuse, see image. Now the triangle shown is easy to work with, using entry-level trig...cos = ADJ/HYP. So we get 3/5=.6 BUUuuuut, the angle q in the original problem is actually the giant angle, marked in yellow (see image) and we're in the fourth quadrant which means there's negative numbers all over the place. So just to be sure the answer is .6 and not -.6 Check your signs. One trick to remember is the ASTC markings in the quadrants. I use All Students Take Calculus, but what it means is in the first quadrant All the trig functions are positive. Only Sine (and fam) are positive in the 2nd quadrant. Tan (and fam) in the 3rd and Cos and fam in the 4th quadrant. It's a good quick check.

cos q = 3/5 OR cos q = .6

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Y-2x + 1<br> How to do it
patriot [66]

Answer:

It is in simplest form so you leave it like that

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 – 12x + 7?
notsponge [240]

<u>Answer-</u>

\boxed{\boxed{\frac{7}{3}}}

<u>Solution-</u>

Rational Root Theorem-

f(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+.......+a_1x+a_0\ \ \ and\ a_n\neq 0

All the potential rational roots are,

=\pm (\dfrac{\text{factors of}\ a_0}{\text{factors of}\ a_n})

The given polynomial is,

f(x) = 9x^8 + 9x^6-12x + 7

Here,

a_n=9,\ a_0=7\\\\\text{factors of}\ 9=1,3,9\\\\\text{factors of}\ 7=1,7

The potential rational roots are,

=\pm \frac{1}{1},\pm \frac{1}{3}, \pm \frac{1}{9}, \pm \frac{7}{1}, \pm \frac{7}{3}, \pm \frac{7}{9}

=\pm 1,\pm \frac{1}{3}, \pm \frac{1}{9}, \pm 7, \pm \frac{7}{3}, \pm \frac{7}{9}

From, the given options only \frac{7}{3} satisfies.

6 0
3 years ago
Read 2 more answers
Name the sides of the angle and classify the angle according to its measure
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

The answer is b.

Hope this helped!

3 0
3 years ago
What two variables are likely to have a negative correlation
kogti [31]

Answer:

<u><em>Negative Correlation</em></u>

The variable x - value increases as y- value decreases is called negative correlation.

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Negative correlation:-    

The negative correlation is a relation between two variables such that they are part of a function in which depends and independent variables move in different directions in terms of value.

<u><em>Positive correlation</em></u>

The variable x - value increases as y- value increases is called positive correlation.

<u><em>Negative Correlation</em></u>

The variable x - value increases as y- value decreases is called negative correlation.

<u><em>No correlation </em></u>

There is no pattern  between two variables

there is no connect between two variables is called No - correlation

6 0
3 years ago
F(x)= 7.45x +33.7 at x=-4.3
weeeeeb [17]

To solve this function, all we need to do is substitute -4.3 in for wherever "x" appears and then simplify.

f(x) = 7.45x + 33.7; x = -4.3

f(-4.3) = 7.45(-4.3) + 33.7

f(-4.3) = -32.035 + 33.7

f(-4.3) = 1.665

This means that, when x = -4.3, f(x) = 1.665.

Note: It may help to remember that, in a function such as this, f(x) can be thought of as the "y" value that corresponds to the given "x" value (in fact, when writing it out with words, f(x) is the same as "function of x"). And, if you are given a value for f(x), then the opposite is true. Just substitute in the value given for f(x) and solve for x.

Hope this helps!

8 0
4 years ago
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