Diane was standing on a roof and threw a weight with a string attached to a nearby roof. The height of the weight above the ground is modelled by the function h(t)= -5t^2 + 10t + 18, where h(t) is height in metres and t is the time in seconds after the throw. Write the function in vertex form.

b) What is the maximum height of the weight?

c) After how many seconds does the weight reach the ground? Round your answer to the nearest tenth.

first one because it can't have a fraction in it

step-by-step explanation:

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation:

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west