Answer:
Part a) The area of the swimming pool is 
Part b) The total area of the swimming pool and the playground is 
Step-by-step explanation:
Part a) Find the area of the swimming pool
we know that
The area of the swimming pool is

where
L is the length side
W is the width side
we have

substitute the values


therefore
The area of the swimming pool is 
Part b) The area of the playground is one and a half times that of the swimming pool. Find the total area of the swimming pool and the playground
we know that
To obtain the area of the playground multiply the area of the swimming pool by one and a half

To obtain the total area of the swimming pool and the playground, adds the area of the swimming pool and the area of the playground
so

therefore
The total area of the swimming pool and the playground is 
Answer:
1. 15
2. 75
Step-by-step explanation:
The possible outcomes are an apple (A), orange (O), lemon (L), banana (B), melon (M), and a joker (J), 6 outcomes in total.
1. You could win with 2 jokers in
different ways.
You can list all these ways:
JJA JAJ AJJ
JJO JOJ OJJ
JJL JLJ LJJ
JJB JBJ BJJ
JJM JMJ MJJ
2. You could win with 1 joker in
different ways
You can list all these ways:
JAA JAO JAL JAB JAM
JOA JOO JOL JOB JOM
JLA JLO JLL JLB JLM
JBA JBO JBL JBB JBM
JMA JMO JML JMB JMM
AJA AJO AJL AJB AJM
OJA OJO OJL OJB OJM
LJA LJO LJL LJB LJM
BJA BJO BJL BJB BJM
MJA MJO MJL MJB MJM
AAJ AOJ ALJ ABJ AMJ
OAJ OOJ OLJ OBJ OMJ
LAJ LOJ LLJ LBJ LMJ
BAJ BOJ BLJ BBJ BMJ
MAJ MOJ MLJ MBJ MMJ
Answer:
Step-by-step explanation:
The usual equation used for the vertical component of ballistic motion is ...
h(t) = -16t² +v₀t +h₀
where v₀ is the initial upward velocity, and h₀ is the initial height. Units of distance are feet, and units of time are seconds.
Your problem statement gives ...
v₀ = 64 ft/s
h₀ = 8 ft
so the equation of height is ...
h(t) = -16t² +64t +8
__
For quadratic ax² +bx +c, the axis of symmetry is x=-b/(2a). Then the axis of symmetry of the height equation is ...
t = -64/(2(-16)) = 2
The object will reach its maximum height after 2 seconds.
The height at that time will be ...
h(2) = -16(2²) +64(2) +8 = 72
The maximum height will be 72 feet.
Answer:
9 cm
Step-by-step explanation:
r² = 3×V/π×h
= 3× 459π/(π×17)
= 81
r= √81= 9