All categories

1 year ago

Find the length of side x in simplest radical form with a rational denominator.60°130°X

Mathematics

1 answer:

iren [92.7K]1 year ago

5 0

We will solve using the law of sines as follows:

$\frac{1}{\sin(30)}=\frac{X}{\sin (60)}$

Now, we solve for X:

$\Rightarrow X=\frac{\sin(60)}{\sin(30)}\Rightarrow X=\sqrt[]{3}$

So, the length of X is sqrt(3).

You might be interested in

A grid shows the positions of a subway stop and your house. The subway stop is located at (-1, 6) and your house is located at (

blondinia [14]

The square roost of 34 units

3 0

3 years ago

Read 2 more answers

Tints reserved

Rom4ik [11]

Answer:10,950=350x+475y

X=trumpet

Y=trombone

Step-by-step explanation:

8 0

3 years ago

Write an equation for an ellipse centered at the origin, which has foci at (0,\pm\sqrt{63})(0,± 63 )left parenthesis, 0, comma

steposvetlana [31]

Answer:

$\frac{x^{2} }{4312 } + \frac{y^{2} }{8281 }$

Step-by-step explanation:

Since the foci are at(0,±c) = (0,±63) and vertices (0,±a) = (0,±91), the major axis is the y- axis. So, we have the equation in the form (with center at the origin) $\frac{x^{2} }{b^{2} } + \frac{y^{2} }{a^{2} }$ .

We find the co-vertices b from b = ±√(a² - c²) where a = 91 and c = 63

b = ±√(a² - c²)

= ±√(91² - 63²)

= ±√(8281 - 3969)

= ±√4312

= ±14√22

So the equation is

$\frac{x^{2} }{(14\sqrt{22}) ^{2} } + \frac{y^{2} }{91^{2} } = \frac{x^{2} }{4312 } + \frac{y^{2} }{8281 }$

8 0

3 years ago

Help please i really need it

mihalych1998 [28]

Answer:

3x - 4

Step-by-step explanation:

Slope (m): 3

Y-intercept (c): = -4

Equation of Line: Y=mx + c

Y=3x -4

3 0

3 years ago

The question is below thanks

Paha777 [63]

Answer:

FH ~ 10.02

Step-by-step explanation:

1. Approach

One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.

2. Circumference of the circle

The formula for circumference is;

$2r$ π

Substitute in the given values;

It is given that the radius is, hence

2 (7) π

14π

3. Find the fraction of the circumference one is supposed to find

It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;

$\frac{angles}{360}=\frac{arc}{circumference}$

Substitute in the given information and solve;

$\frac{82}{360}=\frac{arc}{14pi}$

arc = $\frac{41}{180}*14pi$

arc = $\frac{287}{90}*pi$

arc ~ 10.02

3 0

3 years ago