1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elis [28]
2 years ago
6

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
zloy xaker [14]2 years ago
7 0

Answer: 10

Step-by-step explanation:

a 30° - 60° - 90° triangle has a side ratio of 1:√3: 2, meaning the side length across from the 30° is 1, the side length across from 60° is √3, and the side length across from 90° is 2

if you multiple the 1 * 5 = 5 (the 5 side length in the diagram), then also multiple (5 * √3 = 5√3) and (2 * 5 = 10)

since you're looking for the hypotenuse (the length across the 90°), the answer would be 10 (2 * 5 = 10)

*this method can work for any 30° - 60° - 90° triangle

you can also use trig:

sin (30°) = \frac{5}{x} (now just solve for x)

x * sin (30°) = 5

x = \frac{5}{sin(30)}

x = \frac{5}{1/2} ( because sin (30°) = 1/2 )

x = 5 * \frac{2}{1} = 10

*either method works!

You might be interested in
What is the center of the circle whose diameter has endpoints (18, -13) and (4, -3)?
jeka94

Answer:

Step-by-step explanation:

The center of the circle whose diameter has endpoints (18, -13) and (4, -3) will be the midpoint of the coordinates.

The ormua for calculating mid point is expressed as;

M(X,Y) ={(x21+x2/2, y1+y2/2}

X= x1+x2/2

Y = y1+y2/2

From the coordinates

x1 = 18 x2 = 4

X= 18+4/2

X = 22/2

X = 11

y1= -13, y2= -3

Y = -3-13/2

Y = -16/2

Y = -8

Hence the required centre will be at (11,-8)

4 0
3 years ago
Read 2 more answers
Solve for X. x-9+2wx=y
iragen [17]

Answer:

x=(y+9)/(1+2w)

Step-by-step explanation:

x-9+2wx=y

We make x the subject

x+2wx=y+9

x(1+2w)=y+9

Divide both sides by (1+2w)

x(1+2w)/(1+2w)=y+9(1+2w)

x=(y+9)/(1+2w)

5 0
2 years ago
Which value of p makes the equation 18+ 2 (3p – 8) = –37 true?
Volgvan

Answer:

p = -6.5

Step-by-step explanation:

<u>Given:</u>

  • 18+ 2 (3p – 8) = –37

<u>Solving for p:</u>

  • 18+ 2 (3p – 8) = –37
  • 18 + 6p - 16 = -37
  • 6p + 2 = -37
  • 6p = -37 - 2
  • 6p = -39
  • p = -39/6
  • p = -6.5

Option 2 is correct in the list

3 0
2 years ago
Zachary purchased a computer for 1100 on a payment plan. 4 months after he purchased the computer, his balance was $755. Five mo
NeTakaya

Answer:

Model is

b = 115m + 65

The slope represents the amount of balance offset per month

Step-by-step explanation:

Here, we want to model an equation.

The equation to model will be in the form;

y = mx + c

we have the following points to consider

The points are in the form;

(number of months, balance)

(m , b)

So the points we have are;

(4,755) and (5,640)

So the slope will be ;

(y2 -y1)/(x2-x1) = (755-640)/(5-4) = 115

So the equation will be;

b = am + c

where a is the slope and c is the y intercept

we already have the slope

so equation becomes;

b = 115m + c

let’s get the y-intercept

we can get the y-intercept by any of the points;

That would be; let’s use (5,640)

640 = 5(115) + c

640 = 575 + c

c = 640 -575

c = 65

So the equation of the model is;

b = 115m + 65

The slope represents the balance per month

5 0
3 years ago
Yoo ill give brainiest doe
Furkat [3]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • How do u write 1/4 as a percentage
    10·2 answers
  • Solve the system by substitution.<br> (x+3y=9<br> 14.x - 2y = -6
    9·1 answer
  • Angle A is in standard position and terminates in quadrant IV. If sec(A) = 4/3 , complete the steps to find cot(A).  Use the ide
    8·2 answers
  • Describe the solutions for this inequality.
    11·1 answer
  • The vertex of this parabola is at (-3, -2). which of the following could be its equation?
    7·2 answers
  • The number in a fraction that tells how many equal parts are in the hall or in a group
    11·1 answer
  • Ben and Cam are scuba diving. Ben is 15.815.815, point, 8 meters below the surface of the water. Cam is 4.24.24, point, 2 meters
    15·1 answer
  • URGENT PLEASE HELP Enter the value of (1/2) (-8) (4). Use the on-screen keyboard to enter the value in the box below.
    13·1 answer
  • Find the 99th term of the sequence: -56, -59, -62, -65.
    8·1 answer
  • Square root of -4 complex number
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!