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
iren [92.7K]
2 years ago
10

In the triangle below, what is the length of the side opposite the 30 degree angle

Mathematics
1 answer:
victus00 [196]2 years ago
6 0

Answer:

The correct answer is option A. √3

Step-by-step explanation:

From the figure we can see that aright angled triangle.

Points to remember

If a right angled triangle with angle 30°, 60° and 90° then the sides are in the ratio, 1 : √3 : 2

<u>To find the length of side opposite to 30°</u>

Let 'x' be the side opposite to the 30°, the we can write,

x : 3 : Hypotenuse = 1 : √3 : 2

Therefore x = 3/√3 = √3

The length of side opposite to the 30° is √3

The correct answer is option A. √3

You might be interested in
Select the two values of x that are roots of this equation 3x^2 + 1 =5x
Zina [86]

Answer:

x = 1.434 and x=0.232

Step-by-step explanation:

To find the root of the equation stated above we need to:

(1) Write the polynomial equation with zero on the right hand side:

3x^{2} + 1 = 5x ⇒ 3x^{2} -5x + 1 = 0

(2) Divide the whole equation by 3

3x^{2} -5x + 1 = 0 ⇒ x^{2} -\frac{5}{3}x + \frac{1}{3}= 0

(3) Use the quadratic formula to solve the quadratic equation:

The quadratic formula states that the two solutions for a quadratic equation is given by:

\frac{-b±\sqrt{b^{2} - 4ac}}{2a} (1)

In this case, a = 1, b = -\frac{5}{3}, c= \frac{1}{3}

Substituiting a, b and c in equation (1) We get:

\frac{-\frac{5}{3}±\sqrt{(-\frac{5}{3})^{2} - 4(1)(\frac{1}{3})}}{2(1)} (1)

The two solutions are:

x = 1.434 and x=0.232

8 0
2 years ago
How many solutions does the equation y=3x have?
Butoxors [25]

Answer:

1 solution

Step-by-step explanation:

If you were to graph this line it would be a straight line so there is 1 solution.

y=3x

x=y/3

7 0
2 years ago
Write a number with the digit 3 in the tens places
vlada-n [284]
It can be any number so here is my awnser 437
5 0
3 years ago
What is 15% of 60 show your work to prove your answer
Mila [183]
<span>To convert a percentage to a decimal you move the decimal two places to the left. Therefore:

15.% becomes .15

You then multiply this decimal to the number you are trying to find the percentage of.

.15 × 60 = 9.

9 is 15% of 60.
</span>
3 0
2 years ago
Read 2 more answers
What is the slope of the line passing through<br> points (6, -1) and (1,8)?
Fynjy0 [20]

Answer:

-1.8

Step-by-step explanation:

m= y2 - y2over x2 - x1

m= -1 - 8 over 1 - 6 = -1.8

m= -1.8

7 0
2 years ago
Other questions:
  • Please help <br><img src="https://tex.z-dn.net/?f=1.488%20%20%5Cdiv%202.1" id="TexFormula1" title="1.488 \div 2.1" alt="1.488
    5·1 answer
  • The perimeter of the isosceles ΔABC with the base
    12·1 answer
  • What is p(king or club)?
    10·1 answer
  • Ravi sold 1/5 of his apples. He gave his friend 2/5 of the remainder. Ravi remained with 60. How many apples did ravi have at fi
    13·1 answer
  • What is the answer to (x-5)-(4x+2)
    14·1 answer
  • Helppppp pleaseee :)
    5·1 answer
  • a 18,000 - gallon pool is being filled at a rate of 20 gallons per minute. At this rate ,how many minutes will it take to fill t
    7·1 answer
  • Need some help!!!!! This is hard for me!
    11·1 answer
  • Select all ratios equivalent to 24:21.<br> 7:3<br> 16:14<br> 15:7
    7·1 answer
  • PLOT THE POINT [1.5 -2] PLS HELP ASAP
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!