Answer:
Step-by-step explanation:
step 1
Find the value of x
we know that
r is the midpoint of qs
so
QR=RS
QS=QR+RS------> QS=2RS -----> equation A
RT=RS+ST ----> equation B
see the attached figure to better understand the problem
Substitute the given values in the equation B and solve for x
step 2
Find the value of RS
substitute the value of x
step 3
Find the value of QS
Remember equation A
QS=2RS
so
Given that Jessica attends summer camp at a distance of four hundred twenty-three and four tenth mile = 
And a detour adds 10 miles to the distance.
That means we need to add 10 miles to the given distance.
So new distance = 423.4 + 10 = 433.4 miles
Hence Jessica needs to travel 433.4 miles for summer camp.
Question:
Which expression is equivalent to 144^(3/2)
Answer:
1728
Step-by-step explanation:
The options are not well presented. However, this is the solution to the question.
Given:
144^(3/2)
Required:
Find Equivalent.
We start my making use of the following law of logarithm.
A^(m/n) = (A^m)^1/n
So,
144^(3/2) = (144³)^½
Another law of indices is that
A^½ = √A
So,
144^(3/2) = (144³)^½ = √(144³)
144³ can be expanded as 144 * 144 * 144.
This gives
144^(3/2) = √(144 * 144 * 144)
The square root can then be splitted to
144^(3/2) = √144 * √144 * √144
144^(3/2) = 12 * 12 * 12
144^(3/2) = 1728.
Hence, the equivalent of 144^(3/2) is 1728
Well it sounds like you would have to multiply by 2, which is the amount of roofers, then subtract 12.
10 x 2 = 20
20 - 12 = 8
Hope this helped.
