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3 years ago

What is the value of x?

Mathematics

2 answers:

goldenfox [79]3 years ago

6 0

Answer:

6 sqrt(3) = x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 60 = x/12

12 sin 60 =x

12 ( sqrt(3)/2) =x

6 sqrt(3) = x

Lady bird [3.3K]3 years ago

5 0

Answer:

x=6 $\sqrt{3}$

Step-by-step explanation:

take 60 degree as reference angle

using sin rule

sin 60=opposite/hypotenuse

$\sqrt{3$ /2=x/12

do cross multiplication

2*x=12* $\sqrt{3}$

x=12 $\sqrt{3}$ /2

x=6 $\sqrt{3}$

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Plz help asap real quick i will put you as brainlist

professor190 [17]

Answer:

21/8*2= 5 2/8 or 5 1/4

Step-by-step explanation:

Divide fraction so keep change flip

make them improper

21/8 * 2

42/8

5 2/8

5 1/4

3 0

3 years ago

Read 2 more answers

Which are the x-intercept and y-intercept of the line drawn through the points A and B?

ladessa [460]

First you have to figure out what the equation of the line is. Let's use the slope formula to find the slope, and then one of the points to find the y-intercept. We'll put the line's equation in y=mx+b form.

$slope = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} } \\ slope = m \\ m = \frac{5 - 1}{-7 - 1} \\ m = \frac{4}{-8} \\ m = - \frac{1}{2}$

Now, we'll use that slope in y=mx+b form with one of the coordinates in order to find what b (which is also the y-intercept) equals
$y = - \frac{1}{2}x + b \\ 1 = 1(- \frac{1}{2}) + b \\ 1 = - \frac{1}{2} + b \\ 1 \frac{1}{2} = b$

therefore your y-intercept is equal to 1.5. In order to find the x-intercept we'll take our new equation $y = - \frac{1}{2} + 1 \frac{1}{2}$ and make y = 0, because the line intersects with the x-axis when y is equal to zero.

$y = - \frac{1}{2}x + 1 \frac{1}{2} \\ 0 = - \frac{1}{2}x + 1 \frac{1}{2} \\ -1 \frac{1}{2} = - \frac{1}{2}x \\ x = 3$

therefore, your x-intercept is 3 and your y-intercept is 1.5

6 0

3 years ago

Verify: sin(Θ/3)cos(Θ/3) = 1/2sin(2Θ/3)

gregori [183]

Answer:

is this even real math ?

Step-by-step explanation:

8 0

3 years ago

What is the measure of the missing angle?

Semenov [28]

Hello! every triangle’s interior angles add up to 180. here would be how I solve this equation.

180-75-40=65 (find missing angle)
65+x=180 (supplementary angles)
180-65=x (substitution)
115=x (simplify)
x=115 (reflexive property of equality)

3 0

2 years ago

How do I use inductive reasoning to predict the next three numbers in the pattern 9,11,13,15,17

MA_775_DIABLO [31]

You inspect the series that you have, very carefully.

-- You notice that 9 was increased by 2 to get 11.
-- You notice that 11 was increased by 2 to get 13.
-- You notice that 13 was increased by 2 to get 15.
-- You notice that 15 was increased by 2 to get 17.

By now, it begins to dawn on you. You say to yourself "Self ! I'll just bet
that each term has to be increased by 2 in order to get the next term."

Acting on that assumption, you set out on your flight of prediction:

-- You take the last term, 17, increase it by 2,and get 19.

-- You take the new term that you have created, 19,
increase it by 2, and get 21.

-- You take the 2nd new term that you have created, 21,
increase it by 2, and get 23.

Now you have the three new terms, and that's all you were asked for.
But you're just getting warmed up. Nothing can stop you now.

25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49,
51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75,
77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101

Suddenly, you stop ! You just realized that this is not the ONLY
possible pattern that would produce the same first 5 numbers.

6 0

4 years ago

Read 2 more answers