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
kirill115 [55]
3 years ago
6

The triangle below is equilateral. Find the length of side x in simplest radical form

Mathematics
1 answer:
Molodets [167]3 years ago
6 0

Answer:

4sqrt(3)

Step-by-step explanation:

If the triangle is equilateral, the hypotenuse is 2x

We can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

x^2 + 12^2 = (2x)^2

x^2 + 144 = 4x^2

144 = 4x^2 -x^2

144 = 3x^2

48 = x^2

Taking the square root of each side

sqrt(48) = sqrt(x^2)

sqrt(16*3) = x

4 sqrt(3) =x

You might be interested in
You guys know what Sawcon is?
vagabundo [1.1K]
Yeah I know why ?????,????
6 0
3 years ago
Read 2 more answers
Question 9 of 10
denis-greek [22]
The answer should be A and D
4 0
3 years ago
The area of a triangle is 30 square centimeters and its base is 10 cm. What is the height in cm of the triangle
Vesnalui [34]

Answer:

The height of the triangle is 6 cm.

Step-by-step explanation:

----------------------------------------

The formula for solving the area of a triangle is  A=\frac{1}{2}bh where b stands for base and h stands for height.

Let's substitute 30 cm^2 for the area and 10 for the base.

30=\frac{1}{2} (10)h

-------------------->>>>

Now, let's solve to find the height.

30=\frac{1}{2}(10)h

Multiply \frac{1}{2} times 10

30=5h

Divide both sides by 5.

6=h

-----------------------------------------

Hope this is helpful.

4 0
3 years ago
Charles has $20 to spend at the bakery he wants to buy six cupcakes and a pie. The pie costs
Oduvanchick [21]
The most he can buy for each cupcake is 1.25
8 0
3 years ago
Express 2x+1/(x-2)(x²+1) as a partial fraction.
Oduvanchick [21]

Answer:

Partial fraction = 1/(x-2) - x/(x^2+1)

Step-by-step explanation:

Question:

Express 2x+1/(x-2)(x²+1) as a partial fraction.

Note: it will be assumed that there was a typo in the interpretation of parentheses to mean

(2x+1) / ( (x-2)(x^2+1) )

Let

(2x+1) / ( (x-2)(x^2+1) ) = A/(x-2) + (Bx+C)/(x^2+1) .........................(0)

(2x+1) / ( (x-2)(x^2+1) ) = (A(x^2+1)+(Bx+C)(x-2)) / ( (x-2)(B/(x^2+1) )

(2x+1) / ( (x-2)(x^2+1) ) = (Ax^2+A+Bx^2+(C-2B)x-2C) / ( (x-2)(B/(x^2+1) )

(2x+1) / ( (x-2)(x^2+1) ) = ( (A+B)x^2+(C-2B)x+A-2C ) / ( (x-2)(B/(x^2+1) )

Match numerators

2x+1 = (A+B)x^2+(C-2B)x+A-2C

Match coefficients,

A+B = 0 ..................(1)

-2B+C = 2 .................(2)

A-2C = 1 ...................(3)

Solve for A, B and C

Substitute A from (1) in (3)

-B - 2C =1  

transpose and solve for B

B = -2C-1  ....................(4)

Substitue B from (4) in (2)

-2(-2C-1) + C = 2  

simplify

5C = 2-2 = 0

C=0  ..........................(5)

substitute (5)  in (4)

B = -2C-1 = -1  ...............(6)

Substitue (6) in (1)

A+(-1) = 0

A=1 .............................(7)

Using values from (7), (6) and (5) to substitute in (0)

we get

(2x+1) / ( (x-2)(x^2+1) ) = 1/(x-2) - x/(x^2+1)

as the required partial fraction

7 0
3 years ago
Read 2 more answers
Other questions:
  • Osvaldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains today he ate 220 grams of ca
    14·2 answers
  • Jasmine is traveling at 45 miles per hour. At that same rate, how long will it take her to travel 135 miles?
    9·2 answers
  • Evaluate5− t/3 when t=12 ​
    9·2 answers
  • Martin wants to add a metal border to his rectangular garden to keep out weeds. The length of the garden is 6 meters and the wid
    15·1 answer
  • Find the height of a cylinder of volume 200cm^3 and radius 4
    8·1 answer
  • Explain Well please.
    9·1 answer
  • How can 1/5x − 2 = 1/3x + 8 be set up as a system of equations? a . 5y − 5x = −10. 3y − 3x = 24 b. 5y − 5x = −10. 3y + 3x = 24 c
    11·1 answer
  • P=4<br>q=-2<br>r=-3<br>s=-5<br><br>Solve<br><br><br>s^3 -p^3​
    11·1 answer
  • (help)Name the intersection of the two planes in the image below.
    6·1 answer
  • Calculate limits x&gt;-infinity<br> -2x^5-3x+1
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!