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Fantom [35]
3 years ago
6

What are the missing sides and angles of this triangle? What is the area?

Mathematics
1 answer:
Butoxors [25]3 years ago
4 0
This does not appear to be a right triangle.  However, we know 2 sides and the included angle, so can find the unknown side length.  Let x represent this length.  Then:

x^2 = (9 m)^2 + (12 m)^2 - 2(9m)(12 m)*cos 30 degrees, or

x^2 = 81 + 144 - 216(sqrt(3) / 2).  Please solve for x^2 and then solve the result for x, making sure to choose the positive value.  The result will be the length of the side opposite the 30 degree angle.

With 1 of 3 angles known, and 3 of 3 sides known, you can use the Law of Sines to find the other two angles.  As a reminder, the Law of Sines looks like this:

   a            b              c
-------- = --------- = ----------
sin A       sin B       sin C.

You can give the 30-deg angle any name you want; then a, the length of the side opposite the 30-deg angle, which you have just found.  And so on.  
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Describe the effects of translating abc abc
aleksklad [387]

Answer:

If you meant describe the effects of translating Δ ABC to Δ A'B'C'.

D. Each x - coordinate decreased by 6 and each y - coordinate increased by

Use the coordinate A as an example it moves to the right 6 times(x increasing) and down 3 times (y decreasing)

6 0
3 years ago
The sum of scores of ella and Kath in the summative test is not greater than 50. supposed Ella's score is 22 points, what could
Firlakuza [10]

We want to see which could be the possible score of Kath for the given information. We will find the inequality:

K ≤ 33

<h3>Stating what we know:</h3>

The given information is:

  • The sum of the scores is not greater than 55 points
  • Ella's score is 22 points.

<h3>Writing the inequality:</h3>

First, we need to define the variable K for Kath's points, because of the given information, we can write the inequality:

K + 22 ≤ 55

This means that the sum of the points is smaller than or equal to 55.

Now we just need to solve this for K, to do this, we subtract 22 in both sides:

K ≤ 55 - 22

K ≤ 33

From this, we can conclude that Kath has at most 33 points.

If you want to learn more about inequalities, you can read:

brainly.com/question/11234618

7 0
2 years ago
A = {1, 2, 5, 7}<br> B = {3, 4, 6, 7}<br> C = {0, 5, 8, 9}<br> Find A U B U C.
castortr0y [4]

Answer:  In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other.

A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

Step-by-step explanation:

A = {1, 2, 5, 7}

B = {3, 4, 6, 7}

C = {0, 5, 8, 9}

A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

6 0
3 years ago
Please help out :)) and give a explanation
wolverine [178]

9514 1404 393

Answer:

  y = 3x

Step-by-step explanation:

A proportional relation has the equation ...

  y = kx

To write the desired equation, you need to know the value of k. That can be found from the given information:

  for x = 2, y = 6

  6 = k·2

  3 = k . . . . divide by 2

Now, we know the equation can be written ...

  y = 3x

5 0
2 years ago
What is the missing value of n that will make the equation true? 3^8 . 3^n= 3^14
marissa [1.9K]

Answer:

n = 6

Step-by-step explanation:

{3}^{8} . {3}^{n}  =  {3}^{14}  \\  {3}^{8 + n}  =  {3}^{14}   \\ 8 + n = 14 \\ n = 14 - 8 \\ n = 6

7 0
3 years ago
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