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
3. If the circumference of a round table is 90 inches, what is the area of the table to the nearest
Katen [24]
It would be 7193 because I did the test. Thank you
6 0
2 years ago
In 2008, there were 197,214 traffic collision related injuries. This works out to ____ per day.
Anni [7]
There are several information's already given in the question. Based on those information's the answer can be easily deduced. 

Number of days in the year 2008 = 366
Number of traffic collisions in the year 2008 = 197214
Then
Number of t<span>raffic collision related injuries per day = 197214/366
                                                                               = 538.84
                                                                               = 540
</span><span>This works out to 540 per day. The correct option is option "C".</span>
4 0
3 years ago
5 × 1/ 2 A) More than 5 because you are multiplying by a whole number
sertanlavr [38]
D, hope this helps because 1/2 is less than 1. and 5*1/2 is 2.5 and that is less than 5

6 0
3 years ago
A group of words that has a subject and verb but does not express a complete thought is called:
egoroff_w [7]

Answer:

D is the answer just took the test!!!!

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A tower stand on a horizontal plane. P is the top and Q is the bottom of the tower. A and B are two points on this plane such th
pochemuha

Answer:

32√5

Step-by-step explanation:

We have the right triangles PQA and PQB as well as the given right triangle QAB.

cot(PAQ) = 2/5 = QA/PQ

cot(PBQ) = 3/5 = QB/PQ

cot(PAQ) / cot(PBQ) = (2/5) / (3/5) = 2/3

cot(PAQ) / cot(PBQ) = (QA/PQ) / (QB/PQ) = QA / QB

QA / QB = 2/3

QA = (2/3) QB

QB = (3/2) QA

By the Pythagorean Theorem we have:

(QA)² + 32² = (QB)²

(QA)² + 32² = (3/2 QA)²

(QA)² + 1024 = (9/4) (QA)²

(5/4) (QA)² = 1024

(QA)² = (4/5)1024 = 4096/5

QA = 64/√5

Solve for PQ.

cot(PAQ) = QA/PQ

PQ = QA / cot(PAQ)

PQ = (64/√5) / (2/5) = 32√5

The height of the tower is 32√5.

7 0
4 years ago
Other questions:
  • Image shown down below
    15·1 answer
  • What is 8^1/3 (8 to the power of one third)????
    6·2 answers
  • I dont have a question anymmore lol k thanks
    12·1 answer
  • An equilateral triangle has a perimeter of 9x + 27. What is the length of each side of the triangle?
    6·1 answer
  • Two cylinders. The smaller cylinder has height labeled as 6 cm. The larger cylinder has height labeled as 18 cm. The cylinders a
    9·2 answers
  • Jonathan's new car cost $20,000. After a year, the value of the car is $17,000. If the car depreciates by a fixed factor every y
    11·2 answers
  • at an apple orchard Margaret picked 19 and 1/2 pounds of apples. the cashier put the apples into 3 bags with the same weight. ho
    7·1 answer
  • Refer to the figure and find the volume V generated by rotating the given region about the specified line.
    7·1 answer
  • Ayyyy I will give brain list and brain
    14·2 answers
  • Help me please :) I’m not sure what else to say lol
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!