Ben rolls a number cube 50 times. He records the result of each roll in the table below.
1 answer:
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see explanation below
(1) ×
=
= 0.2
(2) ×
=
= 0.24
(3) 2 = 2 +
= 2.75
(4) 3 = 3 + 0.9 = 3.9
(5) 1.25 = 1 =
(6) 3.29 = 3 =
(7) 0.65 = =
in simplest form
(8) 5.6 = 5 = 5
=
(9) he is incorrect
×
=
= 0.6 ≠ 3.5
To write the function to show the weekly growth rate of population , we first find the weekly growth rate by dividing yearly growth rate by 52 ( as there are 52 weeks in an year)
Given function is ,
or
To convert in weekly growth rate , divide 0.016 by 52
So formula for weekly growth rate of population is
or
And the weekly growth rate =
Answer: Yes the ladder will reach the fire
Step-by-step explanation: Please refer to the attached diagram for details.
The fire is at point A, while the top of the truck is at point C. The fire is actually burning at 22 feet off the ground, but because the fire truck itself is already 6 feet off the ground, the point that would serve as the base of the building would be 16 feet from the third floor (which is 22 feet minus 6 feet). Hence, point A to point B is 16 feet. So we need to calculate if line AC (from the truck to the fire at the third floor, labeled as b) shall equal the length of the ladder which is 16-foot long.
The angle of the ladder with the top of the truck is 75 degrees. Therefore,
Sin 75 = opposite/hypotenuse
Sin 75 = 16/b
By cross multiplication we now have
b = 16/Sin 75
b = 16/0.9659
b = 16.56
If the distance from A to C is 16.56 feet, then the 16-foot long ladder would reach the fire.
