Answer:
0.5
Step-by-step explanation:
If you add 0.5 to -0.5, it will equal 0.
Separate the vectors into their <em>x</em>- and <em>y</em>-components. Let <em>u</em> be the vector on the right and <em>v</em> the vector on the left, so that
<em>u</em> = 4 cos(45°) <em>x</em> + 4 sin(45°) <em>y</em>
<em>v</em> = 2 cos(135°) <em>x</em> + 2 sin(135°) <em>y</em>
where <em>x</em> and <em>y</em> denote the unit vectors in the <em>x</em> and <em>y</em> directions.
Then the sum is
<em>u</em> + <em>v</em> = (4 cos(45°) + 2 cos(135°)) <em>x</em> + (4 sin(45°) + 2 sin(135°)) <em>y</em>
and its magnitude is
||<em>u</em> + <em>v</em>|| = √((4 cos(45°) + 2 cos(135°))² + (4 sin(45°) + 2 sin(135°))²)
… = √(16 cos²(45°) + 16 cos(45°) cos(135°) + 4 cos²(135°) + 16 sin²(45°) + 16 sin(45°) sin(135°) + 4 sin²(135°))
… = √(16 (cos²(45°) + sin²(45°)) + 16 (cos(45°) cos(135°) + sin(45°) sin(135°)) + 4 (cos²(135°) + sin²(135°)))
… = √(16 + 16 cos(135° - 45°) + 4)
… = √(20 + 16 cos(90°))
… = √20 = 2√5
Answer:
H. 1/9.
Step-by-step explanation:
The area of a circle is calculated by solving for π
.
The smallest circle has an area of π
= π * 1 = π.
The middle ring will then have an area of π
- π = π * 4 - π = 4π - π = 3π.
The largest ring will then have an area of π
- π
= 9π - 4π = 5π.
5π + 3π + π = 9π
So, the probability of hitting the innermost circle will be π / 9π = 1 / 9.
Your answer is H. 1/9.
Hope this helps!
Answer:
Length of side of square
Step-by-step explanation:
Sides of rectangle
let 
be diagonal of rectangle
<u><em>Pythagorean theorem : The square of hypotenuse is equal to sum of square of sides.</em></u>
Here hypotenuse 
Diagonal of square 
let side of square
again use pythagorean theorem
50 + 5w + 20m
The constant is 50.
A coefficient is 5 and another is 20.
A variable is w and another is m.
