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3 years ago

I need help in a timed quiz.

Mathematics

1 answer:

MatroZZZ [7]3 years ago

4 0

its 1/25

Step-by-step explanation:

its 1/25 i hope i answered ur question

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Use an Addition or Subtraction Formula to find the exact value of the expression, as demonstrated in Example 1. cos 41π 12.

PtichkaEL [24]

Answer: $\frac{\sqrt{6}-\sqrt{2}}{2}$

Step-by-step explanation:

We apply the formula $\cos(x+y)=\cos(x)\cos(y)-\sin(x)\sin(y)$ .

Note that $\cos(\frac{41}{12}\pi)=\cos((\frac{36}{12}+\frac{7}{12})\pi)=\cos(3\pi + \frac{7}{12})\pi)$ . Take $x=3\pi$ and $y=\frac{7}{12}\pi$ in the formula above to get

$\cos(\frac{41}{12}\pi)=\cos(3\pi)\cos(\frac{7}{12}\pi)-\sin(3\pi)\sin(\frac{7}{12}\pi)=(-1)\cdot \cos(\frac{7}{12}\pi)-0\cdot\sin(\frac{7}{12}\pi)=-\cos(\frac{7}{12}\pi)$

Then the value of this expression is $-\cos(\frac{7}{12}\pi)$

We can use the cosine addition formula again to simplify further. Decompose the fraction in the argument as:

$\cos(\frac{7}{12}\pi)=\cos((\frac{3}{12}+\frac{4}{12})\pi)=\cos((\frac{1}{4}\pi + \frac{1}{3})\pi)$

Applying the formula with $x=\frac{1}{4}\pi$ and $y=\frac{1}{3}\pi$ we obtain

$\cos(\frac{7}{12}\pi)=\cos(\frac{1}{4}\pi)\cos(\frac{1}{3}\pi)-\sin(\frac{1}{4}\pi)\sin(\frac{1}{3}\pi)=\frac{\sqrt{2}}{2}\cdot\frac{1}{2} -\frac{\sqrt{2}}{2}\cdot\frac{\sqrt{3}}{2}=\frac{\sqrt{2}-\sqrt{6}}{2}$

We conclude that this expression has the value $-\frac{\sqrt{2}-\sqrt{6}}{2}=\frac{\sqrt{6}-\sqrt{2}}{2}$

8 0

3 years ago

What would the answer be to 4x-6y=36 graphed

xz_007 [3.2K]

Answer:

see the attachment

Step-by-step explanation:

It is convenient to graph this equation using the x- and y-intercepts.

The x-intercept is found where y=0, so ...

4x = 36

x = 9

The y-intercept is found where x=0, so ...

-6y = 36

y = -6

<em>Graph the two points (9, 0) and (0, -6) and draw a line through them</em>. The graph is shown below.

8 0

3 years ago

I need help with this question please

LenaWriter [7]

Answer:

Step-by-step explanation:

30t - 5t² = 10

5t² - 30t + 10 = 0

t = [30 ± √(30² - 4 ⋅ 5 ⋅ 10)] / [2 ⋅ 5]

= [30 ± √700] / 10

= [30 ± 10√7] / 10

= 3 ± √7

≈ 0.35 seconds and 5.65 seconds

6 0

3 years ago

Simplify and put in a Simplified Expression:<br> 12x + 3x2-6-6x

denpristay [2]

Answer:

3(2x+x²-2)

Step-by-step explanation:

12x+3x²-6-6x

collect like terms

6x+3x²-6

factor the expression

3(2x+x²-2)

3 0

2 years ago

Classify the triangle below explain how you know (20points)

tatyana61 [14]

The triangle is a isosceles because there is two same sides and one different side

4 0

4 years ago