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
arlik [135]
3 years ago
9

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

Mathematics
1 answer:
devlian [24]3 years ago
5 0

Answer:

x = 2√2

Step-by-step explanation:

This is a 45-45-90 triangle. This means that if the legs are x, then the hypotenuse is x√2.

In the case, the hypotenuse is already 4. So we have the equation:

x√2 = 4

Multiply both sides by √2

2x = 4√2

Divide both sides by 2

x = 2√2

You might be interested in
Decide whether the equations is a trigonometric function identity, EXPLAIN.
hodyreva [135]

(1) Answer: Identity true

\cos^2x(1+\tan^2x)=\cos^2x(1+\frac{sin^2x}{cos^2x})=\\= \cos^2x\frac{cos^2x+sin^2x}{cos^2x}=1

(2) Answer: Identity true

\sec x \tan x(1-\sin^2x)=\sin x\\\frac{1}{\cos x}\frac{\sin x}{\cos x}(\cos^2x)=\sin x\\\sin x = \sin x


(3) Answer: Identity true

\sin^2(\theta)\csc^2(\theta)=\sin^2(\theta)+\cos^2(\theta)\\\sin^2(\theta)\frac{1}{\sin^2(\theta)}=\sin^2(\theta)+\cos^2(\theta)\\1 = 1


7 0
3 years ago
Find tan(30) (its a right triangle)
Travka [436]
Use the 30-60-90 triangle.

Tan is opposite over adjacent.

\frac{1}{ \sqrt{3} }
Square roots cannot be on the bottom.

\frac{1}{ \sqrt{3} }  \times  \frac{ \sqrt{3} }{ \sqrt{3} }
The bottom cancel out the square root bar.

Your answer is:

\frac{ \sqrt{3} }{3}
(It's best to memorize the 30-60-90 and the 45-45-90 triangles during trigonometry. It helps a lot.)

Hope this helps!

:)

8 0
3 years ago
Which equation is a point slope form equation for line AB? y−6=−2(x+2) y−2=−2(x+2) y−2=−2(x+6) y−2=2(x+2) A graph with a line ru
julsineya [31]

Answer:

y-6=-2(x+2)

Step-by-step explanation:

4 0
3 years ago
Explain how you determine whether your estimate is an overestimate or underestimate
Montano1993 [528]
If your number is smaller than the actual number, you underestimated.  If it is larger, you overestimated.  Please mark Brainliest!!!
8 0
4 years ago
Simplify 5(1+3)^2. I need Help
Inessa [10]

Answer:

80

Step-by-step explanation:

5(1+3)^2

Due to PENDAS, you will first need to do the root

5(4)^2

5(16)

80

Hope it helped!

3 0
3 years ago
Other questions:
  • Find the perimeter of the figure to the nearest hundredth.
    12·2 answers
  • What is an outlier in the data set 65, 32, 9, 76, 69?
    5·1 answer
  • 2. Brian is filling a conic container with water. He has the container half full. The radius of the container is 5 inches and th
    5·1 answer
  • Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles
    8·2 answers
  • find the area of a regular pentagon inscribed in a circle whose equation is given by (x-4)^2 + (y+2)^2=25
    11·1 answer
  • Select all numbers that are irrational.
    7·2 answers
  • Find the range of 10 12 13 15 16.5
    8·1 answer
  • PLEASE HURRRY!!!
    8·2 answers
  • Simplify 3( j+2 ) - 2
    9·2 answers
  • 6. Interest is compounded semianually. Find the amount in the account after the given time.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!