Answer:
Step-by-step explanation:
we are given triangle as
we know that
triangle PRS and triangle PQS are similar
so, the ratios of their sides must be equal
we get
now, we are given
RS=4
QS=6
we can plug it
now, we can solve for PS
The answer is C. a 4.5 feet, b. 30 feet
Y=2x^(1/2)
A=2⌠x^(1/2) dx
A=2[ (2/3)x^(3/2) ]
A=(4/3)[ x^(3/2) ] x=[1,4]
A=(4/3)(8-1)
A=(4/3)7
A=28/3 u^2
A=9 1/3 u^2
Answer:
the prices were $0.05 and $1.05
Step-by-step explanation:
Let 'a' and 'b' represent the costs of the two sodas. The given relations are ...
a + b = 1.10 . . . . the total cost of the sodas was $1.10
a - b = 1.00 . . . . one soda costs $1.00 more than the other one
__
Adding these two equations, we get ...
2a = 2.10
a = 1.05 . . . . . divide by 2
1.05 -b = 1.00 . . . . . substitute for a in the second equation
1.05 -1.00 = b = 0.05 . . . add b-1 to both sides
The prices of the two sodas were $0.05 and $1.05.
_____
<em>Additional comment</em>
This is a "sum and difference" problem, in which you are given the sum and the difference of two values. As we have seen here, <em>the larger value is half the sum of the sum and difference</em>: a = (1+1.10)/2 = 1.05. If we were to subtract one equation from the other, we would find <em>the smaller value is half the difference of the sum and difference</em>: b = (1.05 -1.00)/2 = 0.05.
This result is the general solution to sum and difference problems.
