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2 years ago

How many quarters are there in $2? A. 2 B. 4 C. 6 D. 8

Mathematics

1 answer:

Cerrena [4.2K]2 years ago

7 0

The answer is D there are 8 quarters in $2

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Solve the equation sin x + cos x=cos 2x for 0 27. x

vodka [1.7K]

Answer:

$x=\frac{\pi}{4}$ and $x=-\frac{3\pi}{4}$

Step-by-step explanation:

We are given that sin x+cos x=cos 2x

We have to solve the given equation for $0\leq x\leq 2\pi$

$sin x+cos x=cos^2x-sin^2x$

Because $cos 2x=cos^2-sin^2$

$sinx+cos x=(sinx +cos x)(sinx-cos x)$

$1 =sin x-cos x$

$sin x=cos x$

$\frac{sinx }{cos x}=1$

$tan x=1$

$tan x=\frac{sinx}{cos x}$

$tan x=tan\frac{\pi}{4}$

$x=\frac{\pi}{4}$

Tan x is positive in I and III quadrant

In III quadrant angle $\theta$ replace by $\theta -\pi$

Therefore, $tan x=tan (\frac{\pi}{4}-\pi)=tan\frac{\pi-4\pi}{4}=tan\frac{-3\pi}{4}$

$x=-\frac{3\pi}{4}$

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2 years ago

Three divide eigthteen

serious [3.7K]

The answer is 18÷3 = 6

5 0

3 years ago

Read 2 more answers

Help i have to know this by tomorrow 43.60 ÷ 20

aniked [119]

Answer is 2.18
knowing that 20 goes into 43 to times, leaving you with 3.60, you gotta add another zero in which you get 18 and simply add the decimal in between 2 and 18

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2 years ago

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Sasha hikes into a canyon. She takes a break at the rest stations every 23 of a mile. If she started at sea level and has hiked

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I have no idea sorry lol pls like

6 0

2 years ago

Graph x^4-3x^2+x. Identify the x-intercepts and the points where the local maximums and local minimums occur. Determine the inte

Brums [2.3K]

Functions, equations and tables can be represented using graphs

The x-intercepts are: 0, 0.35 and 1.53
The local maximum is at point (0.17, 0.08), and the local minimum is at point (1.13, -1.07)

The expression is given as:

$x^4-3x^2+x$

Rewrite the expression as a function

$f(x) = x^4-3x^2+x$

See attachment for the graph of the function.

<h3>The x-intercepts</h3>

This is the point where the graph cross the x-axis.

From the attached graph, the x-intercepts are: 0, 0.35 and 1.53

<h3>The local maximum</h3>

From the attached graph, the local maximum is at point (0.17, 0.08)

<h3>The local minimum</h3>

From the attached graph, the local minimum is at point (1.13, -1.07)

<h3>Intervals</h3>

The graph increases at interval (-1.30, 0) and (1,13, infinity)
The graph decreases at interval (- infinity, 1.30) and (0.35, 1.13)

Read more about graphs and functions at:

brainly.com/question/13136492

4 0

1 year ago