Answer:
26 units
Step-by-step explanation:
Pythagoras' Theorem: ![\sf a^2+b^2=c^2](https://tex.z-dn.net/?f=%5Csf%20a%5E2%2Bb%5E2%3Dc%5E2)
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given
Substitute the given values into the formula and solve for c:
![\sf \implies 10^2+24^2=c^2](https://tex.z-dn.net/?f=%5Csf%20%5Cimplies%2010%5E2%2B24%5E2%3Dc%5E2)
![\sf \implies c^2=676](https://tex.z-dn.net/?f=%5Csf%20%5Cimplies%20c%5E2%3D676)
![\sf \implies c=\pm\sqrt{676}](https://tex.z-dn.net/?f=%5Csf%20%5Cimplies%20c%3D%5Cpm%5Csqrt%7B676%7D)
![\sf \implies c=\pm26](https://tex.z-dn.net/?f=%5Csf%20%5Cimplies%20c%3D%5Cpm26)
Since length is <u>positive</u>, c = 26 only
Answer:
Margo baked 182 cookies.
Step-by-step explanation:
• From percentage increase:
![{ \rm{ \frac{(100 + 30)}{100} \times 140 }} \\ \\ = { \rm{ \frac{130}{100} \times 140}} \\ \\ = { \rm{182 \: cookies}}](https://tex.z-dn.net/?f=%7B%20%5Crm%7B%20%5Cfrac%7B%28100%20%2B%2030%29%7D%7B100%7D%20%5Ctimes%20140%20%7D%7D%20%5C%5C%20%20%5C%5C%20%20%3D%20%7B%20%20%5Crm%7B%20%5Cfrac%7B130%7D%7B100%7D%20%20%5Ctimes%20140%7D%7D%20%5C%5C%20%20%5C%5C%20%20%3D%20%7B%20%5Crm%7B182%20%5C%3A%20cookies%7D%7D)