Answer:
The perimeter of triangle is 33 meters.
Step-by-step explanation:
Given that the triangle is Equivalent Triangle where all angles and sides are equal, so we can assume that:
7x - 17 = 4x - 5
7x - 4x = 17 - 5
3x = 12
x = 12 ÷ 3
x = 4
OR:
4x - 5 = 2x + 3
4x - 2x = 3 + 5
2x = 8
x = 8 ÷ 2
x = 4
Substitute x = 4 into all expressions:
7x - 17 = 7(4) - 17 = 11 meters
4x - 5 = 4(4) - 5 = 11 meters
2x + 3 = 2(4) + 3 = 11 meters
In order to find out the perimeters, you have to add up all the sides:
P = 11 + 11 + 11
P = 33 meters
4x+24=84 4x=60 x=15 length =27 width = 15
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.