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Shtirlitz [24]
3 years ago
12

Which set of values could be the side lengths of a 30-60-90 triangle?

Mathematics
2 answers:
nadya68 [22]3 years ago
4 0
0 it is hope it is right
mamaluj [8]3 years ago
3 0

Answer:

Let us take 4,4\sqrt{3},8

Step-by-step explanation:

When you have a 30-60-90 triangle, your sides will always have a set pattern. 

The side across from the 30 angle will be equal to n (so n = 4).

The side across from the 60 angle will always be equal to n√(3) (so  4√(3)).

The side across from the 90 angle will always be 2n (so, 8).

You could go into trig or Pythagorean theorem to prove this, but it's much simpler to remember it because it's a special triangle. 

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Can someone please help me with this question?!? I am so confused and I don't know how to answer it.
lbvjy [14]

9514 1404 393

Answer:

  a. f(0) = 1

  b. DNE (does not exist)

  c. DNE

  d. lim = 3

Step-by-step explanation:

The function exists at a point if it is defined there. The function is defined anywhere on the solid line and at solid dots. It is not defined at open circles. So, the function is defined everywhere except (2, 3), which has an open circle.

The open circle at (0, 4) prevents the function from being doubly-defined at x=0, since it is already defined to be 1 at x=0.

This discussion tells you ...

  f(0) = 1

 f(2) does not exist. There is a "hole" in the function definition there.

__

The function has a limit at a point if approaching from the left and approaching from the right have you approaching that same point.

Consider the point (1, 2). The graph is a solid line through that point. Approaching from values less than x=1, we get to the same point (1, 2) as when we approach from values greater than x=1.

Similarly, consider the point (2, 3). Approaching from values of x less than 2, we get to the same point (2, 3) as when we approach from x-values greater than 2. The limit at x=2 is 3. The only difference from the previous case is that the function is not actually defined to be that value there.

__

Now consider what happens at x=0. When we approach from the left, we approach the point (0, 4). When we approach from the right, we approach the point (0, 1). These are different points. Because they are different coming from the left and from the right, we say "the limit as x→0 does not exist."

__

In summary, ...

  a) f(0) = 1

  b) lim x → 0 does not exist

  c) f(2) does not exist

  d) lim x → 2 = 3

_____

<em>Additional comment</em>

The significance of the function not being defined at a point where the limit exists, (2, 3), is that <em>the function is not continuous there</em>. This kind of discontinuity is called "removable", because we could make the function continuous at x=2 by defining f(2) = 3 (that is, "filling the hole").

6 0
2 years ago
A car is traveling at a rate of 50 miles per hour, while a motorcycle is traveling at 70 miles per hour. The car takes 4 hours l
mihalych1998 [28]

Answer:

Step-by-step explanation:

the answers are

A.

C.

D.

E.

3 0
3 years ago
Order the numbers from least to greatest. 3 63/80 , 3 1/5 , 3 11/20
gregori [183]

Let's compare apples to apples and oranges to oranges: convert each given proper fraction into its decimal counterpart:

3 63/80 => 3 .788 approx.

3 1/5 => 3.2

3 11/20 => 3.55

It's now an easy matter to arrange these numbers from least to greatest:

3.2, 3.55, 3.79, or

3 1/5, 3 11/20, 3 63/80


7 0
3 years ago
Rory rode his bike a total of 7.75 miles last week. He biked the same distance each of the 5 days he rode. How many miles did Ro
exis [7]

Answer:

Rory rode 1.55 miles each day

Step-by-step explanation:

7.75 divided by 5

6 0
2 years ago
Which should be filed immediately before 32754? A) 32768 B) 32636 C) 31070 D) 3275 E) 32658
victus00 [196]

The number that will be immediately filled before 32754 is 32658

Option E is correct.

8 0
3 years ago
Read 2 more answers
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