In a 30°-60°-90° triangle, the side opposite of the 60° angle is 5V3. What is the length of

Mathematics

1 answer:

iren2701 [21]3 years ago

7 0

Answer:

Step-by-step explanation:

Can't do that. I have to write some sort of explanation or the mods have a fit.

Side opposite = 5 √3

Sin(60) = √3 /2

Hypotenuse = x

Sin(60) = √3/2 = 5√3 / x

√3/2 = 5√3 / x Multiply both sides by x

x √3/2 = 5√3 Divide both sides by √3

x/2 = 5

x = 10

The hypotenuse is 10 units long.

You might be interested in

6x + y = -2<br> y= -3x + 1<br><br> Graph the solution

Gala2k [10]

6x + y = -2
y = -3x + 1

Substitute the value of y in first equation,
6x -3x + 1 = -2
3x = -2-1
x = -3/3
x = -1

Now, Substitute it in 2nd equation,
y = -3(-1) + 1
y = 3+ 1 = 4

Coordinates would be: (-1,4) Mark that point and join with origin.

Hope this helps!

6 0

3 years ago

The domain and range of all linear functions, with the exception of vertical and horizontal lines, is

Ede4ka [16]

Answer:

All real numbers

Step-by-step explanation:

Linear functions have a domain and range of all real numbers because they reach from -∞ to ∞ on the x-axis and y-axis.

An example is given below. The domain and range of the function are all real numbers.