Answer:
Step-by-step explanation:
(a) Let x represent the length of the first side. Then the second side is (x+4) and the third side is (x+3). The perimeter is ...
x + (x+4) +(x+3) = 15
3x = 8 . . . . collect terms, subtract 7
x = 2 2/3 . . . . divide by 3
The third side is x+3 = 5 2/3 inches.
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(b) For this, we are told the second side is S, so we have ...
S = (x+4)
x = S -4 . . . . . subtract 4 to solve for x
Using this in our expression (in part (a)) for the third side, we have ...
third side = (x +3) = (S -4) +3
third side = S -1
The answer is 2/3 because 3/8x16/9= 2/3
Hi there!
To find the percent discount, we need to divide the new price by the original price without the discount:
18 / 25 = 0.72
Now, we convert this into a percentage, so we can find the <em>percent </em>discount:
0.72 = 72%
Now, we subtract from 100%:
100% - 72% = 28%
So, the answer is 28%.
Hope this helps!
Answer:
a.



b.

Step-by-step explanation:
Given that:
C: counterclockwise around the triangle with vertices (0, 0), (1, 0), and (0, 1), starting at (0, 0)
a. Find a piecewise smooth parametrization of the path C.
r(t) = { 0
If C: counterclockwise around the triangle with vertices (0, 0), (1, 0), and (0, 1),
Then:

Also:






b Evaluate
:
Integral of (x+2y^1/2)ds














![\mathtt{\int \limits _{c3} (x+ 2 \sqrt{y}) ds = -\dfrac{4}{3} [(0)-(1)]}](https://tex.z-dn.net/?f=%5Cmathtt%7B%5Cint%20%20%5Climits%20_%7Bc3%7D%20%28x%2B%202%20%5Csqrt%7By%7D%29%20ds%20%3D%20-%5Cdfrac%7B4%7D%7B3%7D%20%5B%280%29-%281%29%5D%7D)
![\mathtt{\int \limits _{c3} (x+ 2 \sqrt{y}) ds = -\dfrac{4}{3} [-(1)]}](https://tex.z-dn.net/?f=%5Cmathtt%7B%5Cint%20%20%5Climits%20_%7Bc3%7D%20%28x%2B%202%20%5Csqrt%7By%7D%29%20ds%20%3D%20-%5Cdfrac%7B4%7D%7B3%7D%20%5B-%281%29%5D%7D)



