Answer:
0.3432 units^2
Step-by-step explanation:
Variable A = area
A = length × width
A = 1.32 units × 0.26 units
A = 0.3432 units^2
5 • 10^4 + 3 • 10^3 + 3 • 10^2 + 6 • 10^0
Part I)
The module of vector AB is given by:
lABl = root ((- 3) ^ 2 + (4) ^ 2)
lABl = root (9 + 16)
lABl = root (25)
lABl = 5
Part (ii)
The module of the EF vector is given by:
lEFl = root ((5) ^ 2 + (e) ^ 2)
We have to:
lEFl = 3lABl
Thus:
root ((5) ^ 2 + (e) ^ 2) = 3 * (5)
root ((5) ^ 2 + (e) ^ 2) = 15
Clearing e have:
(5) ^ 2 + (e) ^ 2 = 15 ^ 2
(e) ^ 2 = 15 ^ 2 - 5 ^ 2
e = root (200)
e = root (2 * 100)
e = 10 * root (2)
The combined time taken if Mario and Ben work together will be 1.875 days.
<u>Time taken</u>:
- Mario alone = 3 days
- Ben alone = 5 days
<u>Work rate</u> :
- Rate = 1 / time taken
- Mario's rate = 1 / 3
- Ben's rate = 1/5
<u>Their combined rate can be written thus</u> :
- Mario's rate + Ben's rate = combined rate
- 1/3 + 1/5 = 8/15
<u>Time taken if they work together</u> :
- Reciprocal of combined work rate
- Combined time taken = 1 ÷ 8/15 = 15/8 = 1.875 days
Therefore, the time taken of they work together is 1.875 days
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