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3 years ago

Which of the following is a solution to sin(2x) - cos x=0

Mathematics

1 answer:

dangina [55]3 years ago

6 0

$\sin2x-\cos x=0\ \ \ |\text{use:}\ \sin2x=2\sin x\cos x\\\\2\sin x\cos x-\cos x=0\\\\\cos x(2\sin x-1)=0\iff\cos x=0\ \vee\ 2\sin x-1=0\\\\(1)\ \cos x=0\to x=90^0\ \vee\ x=270^o\\\\(2)\ 2\sin x-1=0\ \ \ |+1\\2\sin x=1\ \ \ |:2\\\sin x=\frac{1}{2}\to x=30^o\ \vee\ x=150^o\\\\Answer:\ B.)\ 90^o.$

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Brain enjoys hang gliding on his last flight, he jumped off a cliff 520 high he landed 450 from the base of the cliff how far di

belka [17]

Answer:

Brain travelled 687.68 from the cliff.

Step-by-step explanation:

Given that:

Height of the cliff = 520

Base of the cliff = 450

The distance will form the hypotenuse of right angled triangle.

Pythagorean theorem states square of hypotenuse of right angled triangle is equal to the sum of squares of base and height of triangle.

Using pythagorean theorem;

a = 520, b=450, c = hypotenuse

$a^2+b^2=c^2\\(520)^2+(450)^2=c^2\\270400+202500=c^2\\472900=c^2\\c^2=472900$

Taking square root on both sides

$\sqrt{c^2}=\sqrt{472900}\\c=687.68$

Hence,

Brain travelled 687.68 from the cliff.

6 0

3 years ago

Which number line represents the solution to<br><br> W - 2 < 8 ?

Umnica [9.8K]

Answer:

w<10

number - A

(<) means "open circle to the left."

8 0

3 years ago

$425 is 17% of what number

9966 [12]

Set it up at 425=.17x
Solve for x by dividing both sides by .17 to get x=2500
Answer is 2500

6 0

3 years ago

Help please! I need to write 4y =-3x + 12 in standard form, find the y-intercept of the previous equation, as an ordered pair, a

damaskus [11]

Answer:

$-3x+4y=12\\y-intercept: (0,3)\\x-intercept: (-4,0)$

Step-by-step explanation:

The standard form of a linear equation is $ax+by=c$ , where $a$ , $b$ , and $c$ are constants in the equation.

Based on the equation you have provided, the standard form would be $-3x+4y=12$ , where $a=-3, b=4, c=12$ .

To find the y-intercept, set $x=0$ .

$-3(0)+4y=12\\0+4y=12\\4y=12\\y=\frac{12}{4} =3$

Therefore, the y-intercept is $(0,3)$ .

Do the same thing for the x-intercept, but this time with $y=0$ .

$-3x+4(0)=12\\-3x+0=12\\-3x=12\\x=\frac{12}{-3} =-4$

Therefore, the x-intercept is $(-4,0)$ .

5 0

3 years ago

As a medical examiner, you are asked for many reports related to types of death. You are initially asked for a report on the tem

iVinArrow [24]

The function is updated by calculating the composite function h(f(c)), where f = 1.8c + 32

<h3>How to update the function?</h3>

The function is given as h(c)

Where

c represents the temperature in Celsius
h(c) represents the number of heat-stroke deaths per thousand people

When a temperature in Celsius is converted to Fahrenheit, the conversion equation is:

F = 1.8C + 32

This means that we update the function by calculating the composite function h(f(c)), where f = 1.8c + 32

<h3>How the graph would be transformed?</h3>

In (a), we have:

h(f(c)) and f = 1.8c + 32

Substitute f = 1.8c + 32 in h(f(c))

h(1.8c + 32)

The above means that:

The graph would be vertically stretched by a factor of 1.8
Then the graph would be shifted up by 32 units

Read more about function transformation at:

brainly.com/question/1548871

#SPJ1

3 0

2 years ago