Mathematics High School

If tan(x)=3/5 and sin(x)>0, what is sin(2x)?

With STEPS PLEASE AND NO TROLLING.

Answers

Answer 1

i edited the answer. hope it helps. if it isn't ryt tell me plz

If Tan(x)=3/5 And Sin(x)>0, What Is Sin(2x)? With STEPS PLEASE AND NO TROLLING.
Answer 2

Answer:

sin2x = [tex]\frac{30}{34}[/tex]

Step-by-step explanation:

Given

tanx = [tex]\frac{3}{5}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]

This is a right triangle with legs 3 and 5

Let the hypotenuse be h , then using Pythagoras' identity

h² = 3² + 5² = 9 + 25 = 34 ( take the square root of both sides )

h = [tex]\sqrt{34}[/tex]

Thus

sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{3}{\sqrt{34} }[/tex]

cosx = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{5}{\sqrt{34} }[/tex]

Hence

sin2x = 2sinxcosx = 2 × [tex]\frac{3}{\sqrt{34} }[/tex] × [tex]\frac{5}{\sqrt{34} }[/tex] = [tex]\frac{2(3)(5)}{\sqrt{34}(\sqrt{34}) }[/tex] = [tex]\frac{30}{34}[/tex]

Related Questions

Help me plz 6th grade

Answers

Answer:

Go back to -1

Step-by-step explanation:

4 - -5 = -1

The answer is -1 cause of the. -5

Manuel has $600 in a savings account at the beginning of the summer. He wants to have at least $300 in the account at the end of the summer. He withdraws $28 each week for food. Which inequality represents w, the number of weeks Manuel can withdraw money while not dropping below a $300 balance? 28 minus 600 w less-than-or-equal-to 300 28 minus 600 w greater-than-or-equal-to 300 600 minus 28 w less-than-or-equal-to 300 600 minus 28 w less-than-or-equal-to 300

Answers

Answer:

600 minus 28 w less-than-or-equal-to 300

Step-by-step explanation:

Answer:

600 minus 28 w less-than-or-equal-to 300

Step-by-step explanation

The solutions to the equation 2x + x-1 = 2 are * =
2 or X=
BERE

Answers

X=1, if thats what you want.

£880 is divided between Pip, Sara & Gordon so that Pip gets twice as much as Sara, and Sara gets three times as much as Gordon. How much does Sara get?
I don’t know how to work this out

Answers

Answer:

Assume Gordon got X dollar

Then

sara got = 3*x= 3x

Pip got = 2*3x= 6x

Now,

x + 3x + 6x = 880

10x =880

x= 88

Sara got = 3x = 3*88 = 264

Step-by-step explanation:

Find the slope of the line: y = -5x - 1
A
m = -5/1
B
m = -1/5

Answers

Answer:

Slope: -5/1

Step-by-step explanation:

The slope is always the coefficient of x in y=mx+b, so m is -5 (you don't reverse it)

Answer: A) m = -5/1

Step-by-step explanation: The format of slope intercept form is y=mx+b , therefore M= -5/1.

Solve for m in the following equation:
x= 3k(n + m)

Answers

The correct answer is m=x/3k-n

Evaluate 7-2
A. -49

B. -1/49

C. -14

D. 1/49

Answers

Answer:

(D)

Have a great day!!!

The correct value of number 7⁻² is,

D. 1/49

We have to given that,

The number is,

⇒ 7⁻²

Now, We can simplify it as,

⇒ 7⁻²

It can be written as,

⇒ 1 / 7²

⇒ 1 / 7×7

⇒ 1/49

Therefore, The correct option is,

D. 1/49

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

Rearrange to make x the subject:
y=1/3 x+4

Answers

Answer:

x=3y-12

Step-by-step explanation:

in the photo attached

Y - 4 = 1/3 x
3(y-4) = x

The question is slightly unclear, but this is what I got. Lmk if you want me to explain further or if I am incorrect.

Please help, will give brainiest to whomever gets this right.

Answers

Answer: everything except option 2 I think

Step-by-step explanation:

Rational numbers are numbers that can be written as quotients

Write the given number in standard notation 7.8 x 10^6

Answers

Answer:

7,800,000

Step-by-step explanation:

LOTS OF POINTS

Find the Perimeter of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place

please don't answer if you are wrong

Answers

Answer:

38.3

Step-by-step explanation:

The perimeter of the figure can be broken down into the perimeter of 3 sides of the parallelogram, and the perimeter of the semicircle (without its diameter).

The three sides of the parallelogram would be 14+14+4=32.

The perimeter of the semicircle would be 1/2*diameter*pi, which is about 1/2*4*3.14=6.28.

Therefore, the perimeter is 32+6.28=38.3 (to the nearest tenths).

-2x+5(x-2)>7x-6 graph on a number line

Answers

OK............................

Given the equation 4x + 2y = 10, find the value of y that
corresponds to a value of 3 for x.

Answers

Answer:

-1

Step-by-step explanation:

you already know the value of x is 3, so you just solve to figure out what y would be to equal 10

4(3) + 2(y) = 10

4(3) + 2(-1) = 10

Can someone help me with this problem

Answers

Answer:

H and N

Step-by-step explanation:

NEED YOU GUYS HELP AGAIN!!​

Answers

$180/36=5
so we know 1 pound=5 dollars
10/5=2
so your answer would be
*2 pounds*

Answer:

20 lbs cost $10

Step-by-step explanation:

36 lbs= $180

x        = $10

Let's use the cross method

36*10 = 180x

360 = 180x

360/180 = 180x/180

20= x

20 lbs cost $10

I know, I was also shocked with the answer but trust me :) I checked the answer. Hope this helps!

What is 2/3 of 7/8?
What is 2/3 of 7/8?

Answers

Answer:

0.58

Step-by-step explanation:

The Answer Is 0.58 .

42-3x+22x+1+9x-3=180

Answers

What is the question?

Write an inequality

The minimum speed is 40 mph.

Answers

Answer:

[tex] s \ge 40 [/tex]

Step-by-step explanation:

Let s = speed.

If the minimum speed is 40 mph, then the speed can be 40 mph or greater.

[tex] s \ge 40 [/tex]

It’s gone be sum over 40 if it’s s>40 so just pixk sum over it

Evaluate def2 if d = −4, e = 5 and f = −9.

Answers

The answer will be 10

What fraction of an hour is 4 minutes? Give your answer in its simplest form.

Answers

Answer:

An hour is 60 minutes.

And according to question we have to find the simplest form of 60/4

4/60

=  1/15

So the fraction is 1/15

Julius is saving money to buy a Play Station V which cost $499.99. He has already saved $18.25 which he deposited into a savings account. He plans to save $25 a month from babysitting, mowing lawns, and allowance. Which of the following equations represents his saving plan if S is the total money saved and t is the number of months he has saved? C. S = $18.25 + $25t А. S = $250 D. S = $499.99 - $25t S = $18.25 - $25t​

Answers

Answer:

C. S=18.25+25t

Step-by-step explanation:

i looked it up on google

The complement of set M is ______.

Answers

Answer:

M' is {-5, -4, -3, -2, -1, 0, 1, 3, 5, 6}

Step-by-step explanation:

X^2+6x+3=0
Solve the equation by completing the square

Answers

Answer:

x= 5.45 or -5.45

A fish tank is in the shape of a cube. Its volume is 125 ft?. What is the area
of one face of the tank?

Answers

Answer:

8455.1 gallons • 32006 liters

Step-by-step explanation:

An angle measures 38° less than its complement. Find the measures of the two angles.​

Answers

Let c represent the complement.

angle = c - 38
Complement = c

equation :

c - 38 + c = 180
2c - 38 = 180
2c = 218
c = 109

First angle is 71 degrees and the complement is 109.

The measures of the angles are: 64°  and 26°.

Recall: Two angles are complement of each other if they add up to the sum of 90° .

Thus,

Let [tex]x[/tex] represent the first angle

The second angle = [tex](x-38)^{o}[/tex]

Therefore:

[tex]x + (x - 38) = 90[/tex]

Solve for x

[tex]x + x - 38 = 90\\2x - 38 = 90\\2x - 38 + 38 = 90 + 38\\2x = 128\\x = 64[/tex]

The first angle, x, is 64°

The second angle = [tex]x - 38[/tex]

Plug in the value of x

[tex]= 64 - 38\\= 26[/tex]

Therefore, the measures of the two angles are 64°  and 26°

Learn more about complementary angles here:

https://brainly.com/question/13389583

(10,5),(-8,9)
What the slope for this?

Answers

Answer:

2 /-9

Step-by-step explanation:

What is the value of xy/z if x = 1, y = -10 and z = 2?

Answers

Answer:

-5

Step-by-step explanation:

Hope this helps

Answer:

1*-10/2=-5

Step-by-step explanation:

\div 2 = - 5| 1times - 10 \div 5 \\ - 10

For f(x) = (x-2)2 Find f(-2)

Answers

Hope this helpsssssssss

PLEASE HELP ME!

Which algebraic rule describes the transformation of
parallelogram GHJK to G'H'J'K'?

ry-axis
rx-axis
R0,90°
R0,270°

Answers

Answer:

it right

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

anyone willing to help me with this?

Answers

the answer for 5/6 x 3/10 is 1/4
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