Use trigonometry to find your answer
$13.73 weekly
54.92 / 4 = 13.73
Answer:
(8√2) / 15
Step-by-step explanation:
A curve bounded by the y-axis is represented by in terms of dy;
When the curve crosses the y-axis, x will be 0. In this case x is the function of t, so we have to solve for x(t) = 0;
0 = t^2 + 2t --- (1)
Solution(s) => t = 0, t = 2
dy = (1/2 * 1/√t)dt --- (2)
Our solutions (0, 2) are our limits. The area of the curve is in the form 
, so now let's introduce the limits of integration, x(t) and dy/dt. Remember, dy/dt = (1/2 * 1/√t) (second equation). 1/2 * 1/√t can be rewritten as 1/2 * t^(-1/2)....
![A\:=\:\int _2^0\:\left(t^2-2t\right)\left(\frac{1}{2}t^{-\frac{1}{2}}\right)dt\\\\= \int _2^0\:\left(\frac{1}{2}t^{\frac{3}{2}}-t^{\frac{1}{2}}\right)dt\\\\= \left[\frac{t^{\frac{5}{2}}}{5}-\frac{2t^{\frac{3}{2}}}{3}\right]_2^0\\\\= 0\:-\:\left(\frac{4\sqrt{2}}{5}-\frac{4\sqrt{2}}{3}\right)\\\\= \frac{8\sqrt{2}}{15}](https://tex.z-dn.net/?f=A%5C%3A%3D%5C%3A%5Cint%20_2%5E0%5C%3A%5Cleft%28t%5E2-2t%5Cright%29%5Cleft%28%5Cfrac%7B1%7D%7B2%7Dt%5E%7B-%5Cfrac%7B1%7D%7B2%7D%7D%5Cright%29dt%5C%5C%5C%5C%3D%20%5Cint%20_2%5E0%5C%3A%5Cleft%28%5Cfrac%7B1%7D%7B2%7Dt%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D-t%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5Cright%29dt%5C%5C%5C%5C%3D%20%5Cleft%5B%5Cfrac%7Bt%5E%7B%5Cfrac%7B5%7D%7B2%7D%7D%7D%7B5%7D-%5Cfrac%7B2t%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%7D%7B3%7D%5Cright%5D_2%5E0%5C%5C%5C%5C%3D%200%5C%3A-%5C%3A%5Cleft%28%5Cfrac%7B4%5Csqrt%7B2%7D%7D%7B5%7D-%5Cfrac%7B4%5Csqrt%7B2%7D%7D%7B3%7D%5Cright%29%5C%5C%5C%5C%3D%20%5Cfrac%7B8%5Csqrt%7B2%7D%7D%7B15%7D)
Your solution is 8√2 / 15
107 m
Step-by-step explanation:
Step 1:
Here the microscope magnifies by 10 times.
The initial length is 10.7 m
Step 2:
Let the object be magnified by 10 times . Then, 10 × 10.7 = 107
"The digit at tens place is four times the digit at units place."
How many possible numbers are there?
1 in the units place: 41
2 in the units place: 82
If you try 3 in the units place, 4 * 3 = 12, you'd get 123, and now it's a three-digit number, so the only possibilities are 41 and 82.
41 or 82
If you subtract 54 from 41, you get a negative number, so 41 cannot be the number.
82 - 54 = 28, which has the digits of 82 in reverse order.
Answer: 82
