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
padilas [110]
3 years ago
15

The hypotenuse of a 30o-60o-90o triangle measures 4 square 3 inches. What is the length of the shorter leg?

Mathematics
1 answer:
Fofino [41]3 years ago
5 0

<u><em>Answer:</em></u>

The shorter leg is 2\sqrt{3} inches

<u><em>Explanation:</em></u>

The 30°-60°-90° is a special type of right-angled triangles

<u>It has the following special side length:</u>

The length of the side opposite to the 30° is \frac{1}{2} the length of the hypotenuse

The length of the side opposite to the 60° is \frac{\sqrt{3} }{2} of the hypotenuse

<u>Now, we know that</u> the lengths of the sides in a triangle are proportional to the angles

<u>This means that</u> the shortest side will be the one opposite to the smallest angles

In our case, the shortest side will be the one opposite to the 30° angle

We are given that the hypotenuse of the triangle is 4\sqrt{3} in

<u>From the above:</u>

Shorter leg = leg opposite to 30° = \frac{1}{2} * hypotenuse = \frac{1}{2} * 4\sqrt{3} = 2\sqrt{2} inches

Hope this helps :)

You might be interested in
What is 3/16 divided by 1/4 fraction form
Ulleksa [173]
The answer to this is,1/4.
3 0
3 years ago
Solve the following quadratic function by utilizing the square root method. f(x) = 1 - x2 x = + [?]
faltersainse [42]

Answer:

Step 1) y=16-x2. Swap the sides so that all terms of the variables are on the left side. Step 2) 16-x_{2}=y. Subtract 16 from both sides. Step 3) -x_{2}=y-16 Divide the two sides by -1. Step 4). \frac{-x_{2}}{-1}=\frac{y-16}{-1} Dividing by -1 undoes the multiplication by -1. Step 5). x_{2}=\frac{y-16}{-1} Step 6) dived y-16 by -1 And the final answer = x_{2}=16-y

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Please help ASAP (middle school) (Probability )
White raven [17]

Answer: Yes, it is Unlikely.

Step-by-step explanation: All the animals added up equals to 55. Then 2/55 is converted to a percent which is 4% approximately

7 0
3 years ago
Read 2 more answers
The midpoint of the segment as an ordered pair (-4,8) (-4,2)
tiny-mole [99]

Answer:

Step-by-step explanation:

(-4,8) & ( -4,2)

Midpoint=\left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\\\=\left(\dfrac{-4-4}{2},\dfrac{8+2}{2}\right)\\\\\\=\left(\dfrac{-8}{2},\dfrac{10}{2} \right)

= (-4,5)

6 0
2 years ago
[I have no idea how to do this]
jekas [21]

Answer:

We have 16 ounces of 3% H2O2

How many ounces of 30% H2O2 do we add to make a 10% H2O2 solution?

let x = amount of ounces of 30% H2O2 to add

.03 * 16 + .30x = .10 * (16 + x)

.48 + .30x = 1.6 + .1x

.2x = 1.12

x = 5.6 ounces

Source:

https://www.1728.org/mixture.htm

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • What do I have to put
    6·1 answer
  • How to write the ratio of the amount of time spent playing video games to the amount of time spent watching television
    12·1 answer
  • Please help me, I might have more coming so stay tuned I guess. THANKS!!!<br> (SLOPES)
    13·1 answer
  • You wrap a wire around a piece of iron. If you slowly increase the strength of an electric current flowing through the wire, you
    12·2 answers
  • Nemo rents 5 movies per month when the price is $3.00 per rental and 7 movies per month when the price is $2.50 per rental. nemo
    7·1 answer
  • Let X be the mean of a random sample of size n = 64 from the uniform distribution on the interval (0, 3), i.e. f(x) = ( 1 3 , 0
    14·1 answer
  • The graph shows the function f(x) = |x – h| + k. What is the value of k? k = –2.5 k = –A. k = –2.5
    7·1 answer
  • Two barrels are mathematically similar
    6·1 answer
  • I really hope I get help from y’all
    7·1 answer
  • A regular octagon has side lengths of 8 centimeters. What is the approximate area of the octagon?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!