Isaac Newton developed a formula for the height, h, of an object at time t seconds with an initial upward velocity v0 and initial height h0. This formula is as follows: h=1/2gt^2+v0t+h0, where g is a constant denoting acceleration due to gravity. Ignoring the effects of air resistance, g=32(ft/sec^2) or g=9.8(m/sec^2). Knowing this, a rocket carrying fireworks is launched from a hill 50 feet above a lake with an initial velocity of 64 feet per second. The rocket will fall into the lake after exploding at its maximum height. When will the rocket be 90 feet in the air? Select all that apply. A. 0.78
B. 1.23
C. 3.22
D. 4.55
E. 4.67

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation:

the number 100 represents the number of trials in the experiment.

49/100 represents the experimental probability of the coin landing heads up.

step-by-step explanation: