First seperate the irregular shape into 2 regular shapes, by splitting the yellow part down the middle horizontally we get 2 obtuse triangles. Then we just need to find the area of both, to do this we just need base and height, this is 24 in base 15 in height
the area of each half is 180 square inches
180 + 180 = 360
the answer is A 360 square inches
H=+15 m
v=+5 m/s
Ball hits the ground when h(t)=-15m
h(t)=-9.8t^2+vt+h
=>
-15=-9.8t^2+5t+15
9.8t^2-5t-30=0
Solve for t, using quadratic formula,
t=-1.513 or t=2.023
reject negative root due to context, so
t=2.023 seconds
2)
h(t)=-16t^2+20t+8
a. height before pitch is when t=0, or h(0)=8
b. highest point reached when h'(t)=-32t+20=0 => t=5/8 seconds
c. highest point is t(5/8)=-16(5/8)^2+20(5/8)+8=47/5=9.4 m
d. ball hits ground when h(t)=0 => solve t for h(t)=0
=> t=-0.3187 seconds or t=1.569 seconds.
Reject negative root to give
time to hit ground = 1.569 since ball was pitched.
Answer:
2x(5+13)
Step-by-step explanation:
add then multiply by 2
Answer:
Step-by-step explanation:to find the proportionlity it has to go through the origin (0,0) and has to be a straight line on a graph but, in a model label your measurements as x1 ,y1 ,x2, y2 because y2-y1/x2-x1 should give u a answer then do y/x
Answer:
$15, $20
Step-by-step explanation:
Let u represent the unit price of umbrellas and h the unit price of hats.
Case 1: A. spent $80.
Then $80 = 4u + 5($4), or $80 = $20 + 4u, or $60 = 4u, or
u = $15/umbrella.
Case 2: A spent $100.
Then $100 = 4u + 5($4), or $100 = $20 + 4u, or $80 = 4u, or
u = $20/umbrella.
The least A. could have spent on a single umbrella was $15, and the most was $20.
