Answer: yes
Step-by-step explanation:
the answer is “s = 10w + 35” since he already has 35 but needs to find out how many weeks he washed the dishes :))
Answer:
21 in
Step-by-step explanation:
by the Pythagorean theorem we have
![841=400+x^2\\\\x^2=441\\\\x=21](https://tex.z-dn.net/?f=841%3D400%2Bx%5E2%5C%5C%5C%5Cx%5E2%3D441%5C%5C%5C%5Cx%3D21)
notice that the 841 and the 400 don't go squared because they already squared!
I believe that the answer to the question provided above is that the <span>type of display will give them the best picture of her students data is a bar graph.</span>
Hope my answer would be a great help for you. If you have more questions feel free to ask here at Brainly.
Answer:
![\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7B30r%7D%7B%5Csqrt%7Bd%5E%7B2%7D%2B900%7D%7D)
Step-by-step explanation:
A road is perpendicular to a highway leading to a farmhouse d miles away.
An automobile passes through the point of intersection with a constant speed
= r mph
Let x be the distance of automobile from the point of intersection and distance between the automobile and farmhouse is 'h' miles.
Then by Pythagoras theorem,
h² = d² + x²
By taking derivative on both the sides of the equation,
![(2h)\frac{dh}{dt}=(2x)\frac{dx}{dt}](https://tex.z-dn.net/?f=%282h%29%5Cfrac%7Bdh%7D%7Bdt%7D%3D%282x%29%5Cfrac%7Bdx%7D%7Bdt%7D)
![(h)\frac{dh}{dt}=(x)\frac{dx}{dt}](https://tex.z-dn.net/?f=%28h%29%5Cfrac%7Bdh%7D%7Bdt%7D%3D%28x%29%5Cfrac%7Bdx%7D%7Bdt%7D)
![(h)\frac{dh}{dt}=rx](https://tex.z-dn.net/?f=%28h%29%5Cfrac%7Bdh%7D%7Bdt%7D%3Drx)
![\frac{dh}{dt}=\frac{rx}{h}](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7Brx%7D%7Bh%7D)
When automobile is 30 miles past the intersection,
For x = 30
![\frac{dh}{dt}=\frac{30r}{h}](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7B30r%7D%7Bh%7D)
Since ![h=\sqrt{d^{2}+(30)^{2}}](https://tex.z-dn.net/?f=h%3D%5Csqrt%7Bd%5E%7B2%7D%2B%2830%29%5E%7B2%7D%7D)
Therefore,
![\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+(30)^{2}}}](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7B30r%7D%7B%5Csqrt%7Bd%5E%7B2%7D%2B%2830%29%5E%7B2%7D%7D%7D)
![\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7B30r%7D%7B%5Csqrt%7Bd%5E%7B2%7D%2B900%7D%7D)