<span>In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
The shorter leg is </span>the side opposite the 30 degree angle, therefore
the shorter leg = 30/2 = 15
<span>By the Pythagorean theorem
</span><span>the longer leg = </span>√(30² - 15²) = √(900-225) = √675 = 15√3 ≈ 25.98 units
Answer:
{(2,0),(-5,1),(7,8),(6,0),(-7,1)
Answer:
The weight of square is 8 grams.
Step-by-step explanation:
Given that,
The weight of the circle = 2 grams
The weight of the triangle = 4 grams
We need to find the weight of the square. Let the weight of each square is w.
On LHS, 2 circles and 4 squares are there.
On RHS, 2 squares, 4 triangles and 2 circles are there.
For a balanced position,
Weight on LHS = Weight on RHS
2(2)+4(w) = 2(w) + 4(4) +2(2)
4 + 4w = 2w +16 +4
4w-2w = 20-4
2w = 16
w = 8
So, weight of square is 8 grams.
The area is 64. Area, as you probably know, is the length times the width of the figure. The length from A to C is approximately radical 128, and the length from C to D is approximately radical 32 (btw, the radical is the check mark with line that goes above and next to the radicand (the number on the inside of the radical)). Multiply these two to get the area, and you should end up with 64.
Answer:
-3/6 or -1/2
Step-by-step explanation:
