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
Find the value of an investment of $20,000 for 12 years at an annual interest rate of 3.85%
MatroZZZ [7]

Answer:

<h2> $31,745</h2>

Step-by-step explanation:

Compound continuously:

FVn = PV x e^rn

where

PV = $20,000

r = 3.85%

n = 12 years

plugin values into the formula:

FV₁₂ = $20,000 x e ⁰°⁰³⁸⁵ ⁽¹²⁾

FV₁₂ = $31,745

3 0
3 years ago
Kelsey walked 1.7 miles to the park. Then she walked another 1.3 miles to a cafe. How far did Kelsey walk in all?
uysha [10]

Answer:

3 miles

Step-by-step explanation:

  1.7      carry a one because 3+7 is 10

+ 1.3      

--------

 3.0

7 0
3 years ago
Read 2 more answers
A bike rental company charges a fee per hour. The charge, in dollars, is the same each hour. The ordered pairs (3, 13.50) and (5
olchik [2.2K]

If the function is y = 4.5x. Then the rate of change of the function expressed as a unit rate will be 4.5.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A bike rental company charges a fee per hour.

The charge, in dollars, is the same each hour.

The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y.

Then the linear equation is given as

\begin{aligned} \rm  y - 22.5 &= \rm \dfrac{22.5 - 13.5}{5 - 3} (x-  5)\\\\\rm y - 22.5 &= \rm 4.5x - 22.5\\\\\rm y &= \rm 4.5x \end

Then the rate of change of the function expressed as a unit rate will be

\rm \dfrac{dy}{dx}  = \dfrac{d}{dx} (4.5x )\\\\\dfrac{dy}{dx}  = 4.5

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

7 0
2 years ago
I CAN EXPLAIN A PROOF OF THE PYTHAGOREAN THEOREM.
Radda [10]

The answer should be 8 cm2

6 0
3 years ago
How to do compound and simple interest
Cerrena [4.2K]

Answer:

We can compute simple interest by finding the interest rate percentage of the amount borrowed, then multiply by the number of years interest is earned. Another type of interest calculates interest on both the money initialy deposited as well as the interest money earned, and is called compound interest.

Step-by-step explanation:

hope this helps

3 0
3 years ago
Other questions:
  • Find the uncertainty in a calculated average speed from the measurements of distance and time. Average speed depends on distance
    9·1 answer
  • The car travels 440 miles in 8 hours.what is the unit rate
    14·2 answers
  • Write two expressions that are equivalent to 2(x+4)
    11·2 answers
  • (4,-10); m=-3 I need help in this problem
    5·1 answer
  • Please help me answer for 35 and 36
    6·1 answer
  • The Transportation Safety Authority (TSA) has developed a new test to detect large amounts of liquid in luggage bags.
    12·1 answer
  • 170 is 1/10 of 17 true or false 170 is 1/10 of 17 true or false
    9·1 answer
  • 28°<br> 58<br> F<br> What is the value of the missing angle?
    10·1 answer
  • What is 0.313 as a fraction and a percent
    6·2 answers
  • Is -92 a rational number
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!