Answer:

or

Step-by-step explanation:
we know that
Applying the Pythagorean Theorem in the rectangular pool

where
d is the diagonal of the pool
L is the length of the pool
W is the wide of the pool
we have

substitute the given values

solve for L

simplify

or

Answer:
0.833 feets
Step-by-step explanation:
Given that:
Volume of box = 1600
Heigh of box (H) = 8 inches
Let:
Width of box (W) = x
Length of box (L) = 2x
Volume of box = (Height * width * length)
1600 = (8 * x * 2x)
1600 = 16x²
x² = 1600/16
x² = 100
x = sqrt(100)
x = 10 inches
Hence, width of box in feet:
1 inch = 0.0833 feets
10 inches = (10 * 0.0833) feets
= 0.833 feets
Answer:
4 oil changes
Step-by-step explanation:
Given that:
Distance after first oil change = 5000 miles
Subsequent oil changes = 3300 miles
If distance in miles moved per week = 250 m
Number of weeks per year = 52
Total miles moved per year = (250 * 52) = 13000 miles
Let Number of oil change per year = n
Difference between successive oil change = d = 3300 miles
Using the relation :
Total miles = Ist change + (n - 1)d
13000 = 5000 + (n - 1)3300
13000 = 5000 + 3300n - 3300
13000 = 1700 + 3300n
13000 - 1700 = 3300n
11300 = 3300n
n = 3.424
Hence, number of oil. Changes in first year = 4
<span> A toy jeep is 12 1/2 inches
Actual jeep is 18 ¾ feet long
before we determine the ratio, let’s convert first each size into the same unit
of measure and decimal points
=> 12 ½ = 25/2
=> 12.5 inches
=> 18 ¾ = 75/4
=> 18.75 feet
Now, let’s convert feet to inches to know the ratio
=> 1 foot = 12 inches
=> 12.5 inches : 225 inches
=> 225 / 12.5
=> 18 inches
thus in every 1 inch of toy car represents 1.5 feet of actual car.
</span>