Answer:
h = 16 feet
Step-by-step explanation:
Pythagoras´ theorem establishes, that in a right triangle square of the hypothenuse (c²) is the sum of leg ( b²) plus leg (a²)
Then
c² = a² + b²
where according to the problem statement
(20)² = h² + (12)² ( h is the height of the flagpole )
h² = 400 - 144
h² = 256
h = √ 256
h = 16 feet
Answer:
interest: 1,800
total: 13,800
Step-by-step explanation:
This is a horizontal line at y = -3. If you want to find it mathematically, you could find the slope (y2-y1)/(x2-x1) and you would get 0 over 5, so you know the slope is zero. Pick either point and substitute the numbers into point-slope formula. I went with (3, -3) and got (y - -3) = 0(x-3). The right side is just 0, and if you subtract three from both sides to isolate y, you get the equation y = -3.
<span>Since they are playing in the space, gravity or the lack of it plays a huge role here. When the first astronaut throws the second astronaut toward the third one and due to the force exerted they would be moving in the opposite direction and there won't be any catch. Hence the game does not continue after the first throw.</span>
Answer:
I don't know if I'm right at all
x 1/2 2
5 × x2 ^