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
vladimir2022 [97]
3 years ago
7

The sides of an equilateral triangle are 8 units long.what is the length of the altitude of the triangle?

Mathematics
1 answer:
dedylja [7]3 years ago
6 0

Answer:

Equilateral triangle implies each angle is 60 degree.

And any median is the altitude.

So, NT perpendicular LM, where T is the midpoint of [ML];

We use the Pythagorean Theorem in right triangle NTL ( NT = h; NL = a;

LT = a / 2 );

h² = a² - (a/2)² = a² - a²/4 = 4a²/4 - a²/4 = 3a²/4 ;

It follows that

h = √(3a²/4) = a√3/2 ≈ 0,866*a;

But, a = 8;

h ≈ 0,866 * 8 ≈ 6,928;

Step-by-step explanation:


You might be interested in
Pls help I’ll give 23 points
Andrew [12]

Answer:

  • $2594.07

Step-by-step explanation:

  • Principal P = $2250
  • Interest rate r = 2.4% = 0.024 PA compounded
  • Compound number n = 1 (once per year)
  • Time t = 6 years

<u>Future amount formula:</u>

  • F = P(1 + r/n)^(nt)

<u>Substitute given values:</u>

  • F = 2250(1 + 0.024)^6 = 2594.07
8 0
2 years ago
Multiply (x + 3)(x – 3).
lyudmila [28]
B would be correct the -3 x and 3 x cancel out
7 0
3 years ago
Read 2 more answers
A loan of $ 8000 was repaid in 24 equal monthly instalments of $400. The rate of interest on the loan was
masha68 [24]

Answer:

if im right 1600? i did it in my head so im not 100 percent sure

Step-by-step explanation:

7 0
2 years ago
While visiting the 200, Elijah, Alda, and Chris create a triangle by standing at its vertices. They are the same distance away f
trapecia [35]

Answer:

  • Circumcenter

Step-by-step explanation:

The circumcenter of a triangle is the point that has same distance from the three vertices of the triangle.

The snake exhibit is in the circumcenter of the triangle.

5 0
2 years ago
Find the <br> (D)<br> (R)<br> &amp;<br> (A)
omeli [17]
<h3>Answer: Choice C</h3>
  • domain = (-infinity, infinity)
  • range = (-infinity, 0)
  • horizontal asymptote is y = 0

========================================================

Explanation:

Since no division by zero errors are possible, and other domain restricting events are possible, we can plug in any x value we want. This means the domain is the set of all real numbers. Representing this in interval notation would be (-infinity, infinity).

The range is the set of negative real numbers, which when written in interval notation would be (-infinity, 0). This is because y = 5^x has a range of positive real numbers, and it flips when we negate the 5^x term. The graph of y = -5^x extends forever downward, and the upper limit is y = 0.

It never reaches y = 0 itself, so this is the horizontal asymptote. Think of it like an electric fence you can get closer to but can't touch.

7 0
3 years ago
Other questions:
  • The first 5 terms are shown below
    13·1 answer
  • Because weightlessness in outer space causes astronauts to lose bone mass, at the end of each month, an astronaut has two percen
    6·1 answer
  • The Ruiz family is exchanging euros for US dollars. The exchange rate is 1 euro equals 1.35261 USD. Since the Ruiz family knows
    15·1 answer
  • Can someone please help me pleasee<br><br> will mark brainliest to the correct one
    13·1 answer
  • A group of friends really love to go bowling together. Here are a set of final scores from a recent bowling trip:
    5·1 answer
  • Please help me ASAP I’ll Mark Brainly
    9·2 answers
  • How do i solve this quesiton 6(x − 2) &gt; 15
    15·1 answer
  • A parallelogram is shown below:
    14·2 answers
  • Selina claims single having one exemption. Her state tax deduction is 21% of her federal tax contribution. Calculate the amount
    8·2 answers
  • The product of two rational numbers is 3/8. If one of the number is 2/5 , find the other number.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!