Answer:
Part A) 
Part B) Length: 17.5 feet and Width: 14 feet
Step-by-step explanation:
Part A) Create an equation to represent the area of the basketball section A, in terms of the width W.
Let
L ----> the length of the rectangular basketball section
W ---> the width of the rectangular basketball section
we know that
The area of the rectangular basketball section is equal to
----> equation A
The length of the section will be 1.25 times the width of the section
so
----> equation B
substitute equation B in equation A
Part B) Jackson decides to make the area of the basketball section 245 square feet. What are the dimensions, in feet, of the basketball section?
we have
so
solve for W
Find the value of L
substitute the value of W in the equation B
therefore
The dimensions are :
Length: 17.5 feet
Width: 14 feet
There are a total of 20 snacks in each bag. We consider the probability of picking a bag of peanuts with reduced sodium and then a granola bar with reduced sodium, then multiply by 2 (because we could pick them in the other order).
There is a 5/20 chance of picking a sodium-reduced bag of peanuts first, and a 2/20 chance of picking a sodium-reduced granola bar next. Thus, the chance of picking them together in that order is 5/20*2/20=10/400, or 1/40. Because we could pick the snacks in either order, we multiply by two, for a result of a 1/20 probability.
Step-by-step explanation:
distance must be given
average speed is distance and time
1st problem:
Use the Pythagorean theorem:
a^2+b^2=c^2
49+361=c^2
c^2=410
c=20.24
The answer is 20m
2nd problem:
First calculate the height using the Pythagorean theorem:
a^2+b^2=c^2
20^2+b^2=625 (i got 20 {radius} by half-ing the base edge length)
400+b^2=625
b^2=225
b=15
Next, solve for the volume:
V=a^2*h/3
V=40^2*15/3
V=1600*5
V=8000
The answer is the second choice or B.
