Answer: Each time the pentagon is rotated , it maps back onto itself. There are five values of for which the pentagon maps back onto itself. This is the same as the number of sides of the pentagon.
Answer:
C. y= 6.18x + 10.9
Step-by-step explanation:
Every game that he plays (x) costs 6.18, for example, if he plays 3 games it would be 6.18 times 3 (games)
Now you have to add your admission, 10.9
To enter he needs to pay the admission ( 10.9 ) and also each game ( x ) he plays ( 6.18 )
<u>We are given:</u>
The function: y = -16t² + 64
where y is the height from ground, t seconds after falling
<u>Part A:</u>
when the droplet would hit the ground, it's height from the ground will be 0
replacing that in the given function:
0 = -16t² + 64
16t² = 64 [adding 16t² on both sides]
t² = 4 [dividing both sides by 16]
t = 2 seconds [taking square root of both sides]
<u>Part B:</u>
for second droplet,
height from ground = 16 feet
time taken = t seconds
acceleration due to gravity = 10 m/s²
initial velocity = 0 m/s
h = ut + (1/2)at² [second equation of motion]
16 = (0)(t) + (1/2)(10)(t²)
16 = 5t²
t² = 16/5
t = 1.8 seconds (approx)
Therefore, the second droplet takes the least amount time to hit the ground
4 would be the answer for this questions
Answer:
51 cubic feet
Step-by-step explanation:
This is basically a rectangular prism + pyramid.
Volume of rectangular prism = length * width * height
Volume of square pyramid = 1/3 * area of base * height
The rectangular prism's dimensions are 3 x 3 x 5 , so volume = 3*3*5 = 45
The pyramid's base is a square with side 3, so area of base = 3 * 3 = 9
The height is 2, we find the volume using the formula stated above as:
1/3 * 9 * 2 = 6
Volume of Playhouse = volume of rectangular prism + volume of pyramid
Volume of Playhouse = 45 + 6 = 51 cubic feet
