----------------------------------------------------------------
Given Information
----------------------------------------------------------------
Adrian can run 3/4 mile in 1 morning.
----------------------------------------------------------------
Find how long he needs to run 1 mile
----------------------------------------------------------------
3/4 miles = 1 morning
[ Divide by 3/4 on both side ]
3/4 ÷ 3/4 miles = 1 ÷ 3/4
1 miles = 4/3 morning
----------------------------------------------------------------
Find how long he needs to take to run 3 miles
----------------------------------------------------------------
1 miles = 4/3 morning
[ multiply by 3 through ]
3 miles = 4/3 x 3
3 miles = 4 mornings
----------------------------------------------------------------
Answer : 4 mornings
----------------------------------------------------------------
It is 7. None of the other ones fit at all
So basically 42=x times 64 or 42=64x where you want x to be represented as a fraction so just don't simplify as much
42=64x
divide both sdies by 64
42/64=64/64x
42/64=1x
x=42/64
simplify
42/64=21/32
the answer is 21/32 in simplest form
Answer:
7 feet long
Step-by-step explanation:
This set up will give a right angle triangle where;
Length of the ladder is the hypotenuse = x
The distance of the ladder to the house is the adjacent = 3 feet
Angle of elevation theta = 72 degrees
Using the CAH in trigonometry identity;
cos theta = adjacent/hypotenuse
cos 72 = 3/hyp
hyp = 3/cos72
hyp = 3/0.4258
hyp = 7.05 feet
Hence the ladder is approximately 7 feet long