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
alekssr [168]
3 years ago
12

VERY IMPORTANT I NEED HELP!!!

Mathematics
1 answer:
Advocard [28]3 years ago
3 0

Answer:

2√3

Step by step Explanation:

=  >  \frac{ \sqrt{96} }{ \sqrt{8} }  \\  \\  =  >  \frac{ \sqrt{12 \times 8} }{ \sqrt{8} }  \\  \\  =  >  \frac{ \sqrt{12} \times  \sqrt{8}  }{ \sqrt{8} }  \\  \\  =  >  \sqrt{12}  \\  \\  =  >  \sqrt{4 \times 3}  \\  \\  =  >  \sqrt{2 \times 2 \times 3}  \\  \\  =  > 2 \sqrt{3}

You might be interested in
What is 65% written as a fraction in its simplest form?
alexdok [17]
65/100 = 13/20
(divide by 5 on both sides)
Hope this helped!
6 0
3 years ago
Read 2 more answers
Help?????????????? I need to know the answer
Natasha2012 [34]
The slope of the line is -2
8 0
2 years ago
What is the measure of angle x?<br> 41。<br> 56。<br> 83。<br><br> I don't know
RSB [31]
The answer is 83 degrees
6 0
2 years ago
A fair dice is rolled
iren2701 [21]

Answer:

1/6

Step-by-step explanation:

8 0
3 years ago
Unit 8: Right Triangles &amp; Trigonometry Homework 2: Special Right Triangles...Please Help!
Anton [14]

Answer:

  • x = 8√3
  • y = z = 12√2

Step-by-step explanation:

We presume you want the values of x, y, and z.

__

There are two "special triangles" in geometry and trigonometry. They are the 30°-60°-90° right triangle that is half of an equilateral triangle, and the 45°-45°-90° isosceles right triangle that is half a square (cut by the diagonal).

The side ratios of these special triangles are relatively easy to remember. It is useful to memorize them.

__

For the isosceles right triangle, the side lengths are the same. The Pythagorean theorem tells you that if they are both 1, then the hypotenuse is ...

  √(1²+1²) = √2

That is, the side lengths of the 45-45-90 triangle are in the ratio ...

  1 : 1 : √2

__

For the triangle that is half an equilateral triangle, you know the hypotenuse is twice the length of the shortest side (since we got that short side by cutting a long side in half). Then the longer side can be found from the Pythagorean theorem:

  √(2²-1²) = √3

That is, the side lengths of the 30-60-90 triangle are in the ratio ...

  1 : √3 : 2

_____

In this problem, we're given the hypotenuse of a 30-60-90 triangle, so we know the short side of it (x) will be half that length:

  x = (16√3)/2

  x = 8√3

The hypotenuse of the 45-45-90 triangle will be √3 times x, so will be ...

  long side of small triangle = (√3)(8√3) = 24

The shorter sides of that 45-45-90 triangle will be this value divided by the square root of 2, so are ...

  y = z = 24/√2

We can multiply this by (√2)/(√2) to "rationalize the denominator".

  y = z = 12√2

3 0
3 years ago
Other questions:
  • Marge drove 348 miles in 4.5 hours. At that rate, how many miles could she drive in 10 hours?
    7·1 answer
  • What is scientific notation?
    13·2 answers
  • Susie’s teacher asks her to complete the multiplication problem. 0.3 x 3.7. What’s the product?
    8·2 answers
  • Select the correct answer.
    6·1 answer
  • Exercise 2.1.47 Prove that ifA^-1 exists and AX=0 then X =0.
    6·1 answer
  • A square playground has an area of 900 square feet. What is the length of each side of the playground
    6·2 answers
  • The sum of the measures of the interior angles of a quadrilateral is 360°. If the acute interior angle of the figure measures 75
    13·1 answer
  • The temperature is -2c. If the temperature rises by 15c what is the new temperature?
    13·2 answers
  • Can someone please help me with math.
    11·1 answer
  • What is 4/5 plus 2/3 and in simplest terms
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!