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
Scorpion4ik [409]
2 years ago
13

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

Mathematics
1 answer:
tiny-mole [99]2 years ago
6 0

Answer:

x=\frac{\sqrt{14} }{2}

Step-by-step explanation:

Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures 45^o. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).

We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

(\sqrt{7})^2=x^2+x^2\\7=2\,x^2\\x^2=\frac{7}{2} \\x=+/-\sqrt{\frac{7}{2}} \\x=+/-\frac{\sqrt{14} }{2}

We use just the positive root, since we are looking for an actual length. then, the requested side is:

x=\frac{\sqrt{14} }{2}

You might be interested in
A scientist used 786 milliliters of a liquid for an experiment. How many liters of the liquid did the scientist use for this exp
Virty [35]
The answer is d , i hope this helps !
8 0
2 years ago
Read 2 more answers
Can someone help me ?
Lerok [7]
Answer:
50*

Cause if u know a right angle is 90* then u add it it gets 130 then you take that away from 180 what leaves you with 50
7 0
2 years ago
Read 2 more answers
Question 4 of 10
Naddik [55]
The answer is D
real explanation: take 0.642 & divide it by -0.28.
7 0
2 years ago
Use the x-intercept method to find all real solutions of the equation.<br> x^3-10x^2+29x-20=0
stiks02 [169]

Answer:

X=1,5,4

Step-by-step explanation:

3 0
2 years ago
Select the correct answer. Select the place where the digit 5 sits in this number. 952,832,744 A. hundred millions B. one billio
k0ka [10]

Count the amount of digits from right to left:

The digit 5 appears at the eighth position.

Remember that the 7th position is for millions. So, the eighth position is for ten millions.

Therefore, the place where the digit 5 sits in the number 952,832,744 is ten millions.

4 0
11 months ago
Other questions:
  • Ella has 50 stacks of ten pennies in each stack. Describe how to find how many pennies ella has in all
    13·1 answer
  • If the perimeter of the semicircle is 10.28mm. What is the semicircles radius?
    11·1 answer
  • A Florida poll asked 1200 Floridians whether they would prefer an increase in taxes or a decrease in government services as a wa
    12·1 answer
  • Angela enjoys swimming and often swims at a steady pace to burn calories. At this pace, Angela can 1,700 meters in 40 minutes. h
    9·1 answer
  • Equation .4x - 8 = 9 - .6x
    12·1 answer
  • Help pls pls pls pls
    10·1 answer
  • 11a. Jada walks up to a tank of water that can hold up to 10 gallons. When it is
    7·1 answer
  • 6 cm<br> 6 cm<br> What is the area?
    10·1 answer
  • 100 points and brainliest if you answer correctly!!
    6·1 answer
  • Find the center of the circle whose equation is (x - 5) 2 + (y + 3) 2 = 6.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!