Answer:
A. a red marble
there's more red marbles than blue and white marbles
So electricity costs 15cents every 1,000 watts used, and if he watches tv for 2hrs every day for a month that’s 60 hours (2*30) And every hour he watches tv it’s 150 watts. They want you to do the 60 hrs times 150watts which is 9,000 (amount of watts he uses in the month) and remember 1,000 watts is 15cents
General Idea:
We can use the below formula to find the area of sector (A), when angle of sector and radius is given:
![A=\frac{\theta}{360} \cdot \pi \cdot r^2](https://tex.z-dn.net/?f=%20A%3D%5Cfrac%7B%5Ctheta%7D%7B360%7D%20%5Ccdot%20%5Cpi%20%20%5Ccdot%20r%5E2%20)
Applying the concept:
We need to substitute 84 for
and 160 for A in the above formula:
![160 = \frac{84}{360} \cdot \pi \cdot r^2\\ Solving \; for \; r\\ \\ \frac{84\pi}{360} \cdot r^2=160\\ Multiply \; the \;reciprocal\; \frac{360}{84\pi} \;on\;both\;sides\;of\;the\;equation\\ \\ r^2=160\cdot \frac{360}{84\pi} \\ \\ r^2=\frac{57600}{84\pi} \\Taking \;square\;root\;on\;both\;sides\\ r=\sqrt{\frac{57600}{84\pi}} \approx14.8\; inch](https://tex.z-dn.net/?f=%20160%20%3D%20%5Cfrac%7B84%7D%7B360%7D%20%5Ccdot%20%5Cpi%20%20%20%5Ccdot%20r%5E2%5C%5C%20Solving%20%5C%3B%20for%20%5C%3B%20r%5C%5C%20%5C%5C%20%5Cfrac%7B84%5Cpi%7D%7B360%7D%20%5Ccdot%20r%5E2%3D160%5C%5C%20%20Multiply%20%5C%3B%20the%20%5C%3Breciprocal%5C%3B%20%5Cfrac%7B360%7D%7B84%5Cpi%7D%20%5C%3Bon%5C%3Bboth%5C%3Bsides%5C%3Bof%5C%3Bthe%5C%3Bequation%5C%5C%20%5C%5C%20r%5E2%3D160%5Ccdot%20%5Cfrac%7B360%7D%7B84%5Cpi%7D%20%20%5C%5C%20%5C%5C%20r%5E2%3D%5Cfrac%7B57600%7D%7B84%5Cpi%7D%20%20%5C%5CTaking%20%5C%3Bsquare%5C%3Broot%5C%3Bon%5C%3Bboth%5C%3Bsides%5C%5C%20r%3D%5Csqrt%7B%5Cfrac%7B57600%7D%7B84%5Cpi%7D%7D%20%20%20%5Capprox14.8%5C%3B%20inch%20)
Conclusion:
If a windshield wiper covers an area of approximately 160 square inches when it rotates at an angle of 84°, the length of the wiper to the nearest tenth of an inch is <u>14.8</u>
Hello there!~
a² - 6a + 9
The factorization of that is (a - 3)²
6h² + h - 70
The factorization of this is (3h - 10)(2h + 7)
I'm gonna take a look at the other questions.