All categories

3 years ago

Find the length of X in simplest radical form with a rational denominator

Mathematics

1 answer:

Darya [45]3 years ago

6 0

Answer:

$x = \sqrt 6$

Step-by-step explanation:

Given

The attached triangle

Required

Find x

Considering angle 30 degrees,

$Opposite = \sqrt{2$

$Adjacent = x$

Using the tangent formula:

$tan\ 30 = \frac{\sqrt 2}{x}$

Make x the subject

$x = \frac{\sqrt 2}{tan\ 30}$

$x = \frac{\sqrt 2}{1/\sqrt 3}$

$x = \sqrt 2 * \sqrt 3$

$x = \sqrt 6$

You might be interested in

Find the area of a square with side length 4/5 yard.

BigorU [14]

Answer:

side length = 0.8 yards

area = side length^2= 0.8^2 = 0.64 or 64/100

Step-by-step explanation:

hope that helped

6 0

3 years ago

Read 2 more answers

Find parametric equations for the line through point P(-4,5,2) in the direction of the vector (-6,6,-5)

tigry1 [53]

The vector v (-6, 6, -5) points in the direction of itself, so we start there.

We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling v by an arbitrary real number t.

The line through point P and pointing in the same direction as v is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector p that points to (-4, 5, 2), so the vector equation for this line is

r (t ) = p + t v

r (t ) = (-4, 5, 2) + t (-6, 6, -5)

r (t ) = (-4 - 6t, 5 + 6t, 2 - 5t )

To get the parametric equations, simply take out the components:

x (t ) = -4 - 6t

y (t ) = 5 + 6t

z (t ) = 2 - 5t

4 0

3 years ago

1. h(2) + g(2) * h(t) = 3-5 g(t) = 2t - 5

kap26 [50]

Answer:

h(2)+g(2) = -3

Step-by-step explanation:

$h(2) +g(2)\\ \\h(t) = 3-5, g(t) = 2t -5$

Replace the variable (t) with (

2) in the expression.

h (2) = 3 - 5

Replace the variable (t) with (

2) in the expression.

g(2) = 2(2) -5

Replace the function designators in h(2) +g(2) with the actual functions.

h(t) = 3 - 5 +2 (2) ← plug h(2) into 2(t)

Remove parentheses.

3 - 5 + 2(2)

Multiply 2 by 2

3 - 5 + 4 - 5

Subtract 5 from 3

-2 + 4 - 5

Add -2 and 4

2 - 5

Subtract 5 from 2

-3

7 0

3 years ago

Grace drew a triangle with sides of equal length. Its measured with sides of 3 cm. What is the perimeter of the triangle?

Otrada [13]

Answer:

9 cm explained to

Step-by-step explanation:

explained that

4 0

2 years ago

Which of the following functions is not linear?

Molodets [167]

Hi there! The answer is A.
Graph A. is not linear because it contains x^2 and therefore is a quadratic function.

5 0

3 years ago

Read 2 more answers