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aleksley [76]
3 years ago
14

What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?

Mathematics
2 answers:
Deffense [45]3 years ago
7 0
So you have a right angle triangle. You need to use trig for this, as you have two values you can figure out a third.

You know that you have

90 deg. angle
19 deg. angle
Therefor you have 71 deg. angle

sin19 = x/15
15sin19 = x
x = 2.2

Now do Pythagoras c^2-b^2=a^2

a = 14.8

So the sides are 2.2 and 14.8 units long. (If these numbers are wrong tell me and I'll edit answer)

ahrayia [7]3 years ago
5 0

Answer:

D.  4.9 units, 14.2 units

Step-by-step explanation:

By working in reverse, doing arctan( small side / big side) we can deduce it to answer D, seeing as

4.9/14.2 ~= 0.34507

tan^{-1}(0.34507) = 19.04degrees

Which rounds out to 19degrees in the tenths.

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3 years ago
How many times can 95 go into 96
Tanzania [10]

Answer:24 times


Step-by-step explanation:Hi there!  

First of all, division is the opposite of multiplication.  So if I  

divide 72 by 3 I should get 24, since 3*24 = 72.  

(You might notice that our division looks sort of like the  

multiplication:

24

X 3

___

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60

----

72

just in a different order.)

OK, back to long division.

The process of long division goes sort of like this:

1. Write the problem

2. Make a guess of what the answer will be

3. Check your guess, fix it if you need to

4. "Bring down"

5. Repeat  steps 2-4 until you're out of digits

So for 72 divided by three, the process would go like this:

1. Write the problem

 ----

3|72

That means 72 divided by 3, also called 3 into 72, etc.

2. Make a guess of what the answer is.

Let's cover up the 2 in 72 for a minute:  (This lets us ignore the place  

value, etc.)

 ----

3|7?

Now let's ask:  How many times does 3 go into 7?

You can make whatever guess you want.  But since we have a good idea of  

what the answer should be, let's guess 2.  

Now we write the 2 above the 7 like this:

 2

 ----

3|7?

Now, to check that we're right, we need to subtract 2 3's from 7.

We do this by multiplying 2X3 (to get 6) and then writing:

  2

 ----

3| 7?

 -6

 __

  1

We need the 2 from 72 again, so let's write it in again. In fact, we're

going to "bring it down" next to the 1 to make 12. Then we'll guess how  

many times 3 goes into 12, and so on.

Anyway:

  2

 ----

3| 72

 -6 |     <---that's supposed to be an arrow reminding you that we're

 __\ /        bringing down the 2 to make 12

  12        

Ok. So, how many times does 3 go into 12?  Let's guess 4 (sorry, I'm  

cheating since I know the answer already!)

  24

 ----

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 -6    

  -

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Now let's multiply 3 X 4.  Wow! We get 12.  If we subtract 12-12

   24

 ----

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 -6

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-  12

  ---

   0

Now, we can check to make sure that 3 X 24 really does equal 72, and  

we're done.


4 0
3 years ago
8.14÷20 please show work​
saul85 [17]

Answer:

0.407

Step-by-step explanation:

 <u>0. 4 0 7</u>

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 −<u> 0</u>      

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 <u>− 8 0   </u>

     1 4  

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     1 4 0

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Keith_Richards [23]

The answer might be - 12

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