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3 years ago

Find x. 2 √6 6 √2 12 8

Mathematics

2 answers:

Lina20 [59]3 years ago

5 0

The Answer is indeed: 6√2

Neko [114]3 years ago

3 0

Answer:

6 sqrt(2)

Step-by-step explanation:

sin theta = opposite side / hypotenuse

sin 45 = 6 /x

Multiply each side by x

x sin 45 = 6

Divide each side by sin 45

x = 6 / sin 45

We know that sin 45 = sqrt(2)/2

x = 6 / (sqrt(2) /2)

x = 12/ sqrt(2)

Multiply by sqrt(2)/ sqrt(2)

x = 12 sqrt(2)/ (sqrt(2)*sqrt(2))

x = 12 sqrt(2)/2

x = 6 sqrt(2)

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Please help me with this , it would mean alot

algol [13]

Answer:

Step-by-step explanation:

21-26. a = v - u / t

=> a = 47 - 19 / 5

=> a = 28 / 5

=> a = 5.6 m/s²

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=> 40 m / 10 s

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4 0

2 years ago

Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______

Vesna [10]

Answer:

$c = 11$

Step-by-step explanation:

Given

Let the three sides be a, b and c

Such that:

$a = b= 5$

Required

Find c such that a, b and c do not form a triangle

To do this, we make use of the following triangle inequality theorem

$a + b > c$

$a + c > b$

$b + c > a$

To get a valid triangle, the above inequalities must be true.

To get an invalid triangle, at least one must not be true.

Substitute: $a = b= 5$

$5 + 5 > c$ $===>$ $10 > c$

$5 + c > 5$ $===>$ $c > 5 - 5$ $===>$ $c > 0$

The results of the inequality is: $10 > c$ and $c > 0$

Rewrite as: $c > 0$ and $c < 10$

$0 < c < 10$

This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)

Any value outside this range, cannot form a triangle

So, we can say:

$c = 11$ , since no options are given

8 0

2 years ago

A line had a slope of 2/3 and a y intercept at (0,14).What is the x intercept of the line?

pychu [463]

Answer:

y=2/3x+14

Step-by-step explanation:

The standard form of an equation in slope-intercept form is y=mx+b where m=slope and b=y-intercept.

Given a y-intercept of 14 and a slope of 2/3, we can plug into the variables and get the equation y=2/3x+14

The x-intercept would be when y=0, so plugging in y=0 to the equation gets us:

0=2/3x+14

-14=2/3x

21=x

So the x-intercept is 21

6 0

2 years ago

Please help! Please explain how to do this, I am so lost.

alexdok [17]

Ok, so we know that RST is equal to 6x+12
And RST is also equal to 78 + 3x-12
so we set them equal to each other

6x + 12 = 3x - 12 + 78
And simplify
3x = 54
x = 18

Finally, we solve for the angle with 18 for x

6(18) + 12
108 + 12
120

Hope this helps

8 0

2 years ago

What is the sum of the interior angles

galben [10]

Answer:

The sum of the interior angle is 108°

Step-by-step explanation:

To find the sum of the interior angle, you need this equation:

$\frac{180(n-2)}{n}$ (The variable $n$ represents the number of sides does a shape have).