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Step-by-step explanation:
0.5 x 1/10 = 0.05 All you do is multiply
<span>Let’s say we have a starting point (0,0), the point (4,3) are distance apart at 90 degrees, hence the hypotenuse to those two distance will be 5.
Therefore sin q = 4/5.</span>
Answer:
64
Step-by-step explanation:
<em>[using calculus] </em>When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have
, which equals zero when
. The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.
<em>[without calculus] </em>This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.
<u>Answer:</u>
x = -3/7
<u>Step-by-step explanation:</u>
We are given the following equation for which we have to solve for x:

So we will start by expanding the equation by multiplying the common factor with the brackets to get:

Arranging the like terms together (variables on one side of the equation and constants on the other side) to get:

Therefore, x = -3/7.