Answer:
10
Step-by-step explanation:
with reference angle 30°
perpendicular (p) = 5
hypotenuse (h) = x
Now
sin 30° = p / h
1 / 2 = 5 / x
x = 10
Hope it will help :)
We know that these two angles are in the ratio 1:2 and add to 90 because they are complementary
So we can write the equation
x+2x=90
3x=90
x=30
So the first angle measure is 30
Since they are in the ratio 1:2, the second angle is twice 30 so 60
Hope this helps
Answer:
The solutions are 
, 
If you need to have them in a decimal form rounded to 3 decimals, the answers would be 
, 
Step-by-step explanation:
We are given the equation 
The first thing that can be done is to rearrange the terms so that they are in descending order of power. This makes it easier to work with
This gives us 
To find the solutions to this equation, we can use the quadratic formula, which will tell us that the solutions are equal to 
From our equation, we can gather that 
Now that we have our variables, we can plug them into the quadratic formula to get our solutions.
And now for our second equation
Answer: Last option.
Step-by-step explanation:
By definition, a pyramid has a base (which is a polygon) and three or more triangular faces.
You can observe in the image that the the figure has three triangular faces and a triangular base. The sides of the base are all equal, then it is an equilateral triangle.
Then, since the base of the tringular pyramid is an equilateral triangle, the faces are also equilateral triangles.
Therefore, the three-dimensional figure that can be made from the net shown, is:
A triangular pyramid that must have 4 congruent and equilateral triangles.
