assume-that-in-2010-the-sales-of-lotto-were-discontinued-and-the-dollar-value-of-the-sales-of-all-ot

Question

Assume that in 2010 the sales of Lotto were discontinued, and the
dollar value of the sales of all other games increased by 10$\%$
compared to $2009 .$ If a new circle graph was created to reflect the
Lottery Ticket Sales in $2010,$ which of the following would be
closest to the degree measure of the central angle of the sector
representing Instant games?
$$\begin{array}{l}{	ext { (A) } 100^{\circ}} \ {	ext { (B) } 150^{\circ}} \ {	ext { (C) } 180^{\circ}} \ {	ext { (D) } 200^{\circ}}\end{array}$$

Lily An · Accepted Answer

Yes, this one says, assumed that in twenty ten the sails off Lotto were discontinued and the dollar value of the sales of all other games increased by ten percent compared to in two thousand the year two thousand nine. If a new circle Graff was created to reflect with that letter ticket sales in two thousand ten, which of the following would be closest to the degree measure of central angle of the sector representing instant games? Okay, so let&#x27;s go out and try to make a new circle. Okay, So if we know the Lotto is goingto go away, that means now instead of five different options, we&#x27;ve got for instant other three digit and four digit and so then first. Because we know that that goes away. We know that I&#x27;m the total out of the thirty five point five billion. We&#x27;re going to get rid of the Lotto&#x27;s amount, which is ten billion that we know the total is gonna be twenty five point five billion. Okay, so now have their Each of the remaining games had a ten percent increase, which means that in twenty ton we&#x27;re going to take that new value to twenty five point five and, ah, increase that by ten percent, which means we&#x27;re doing one plus ten percent. So one point one and then that should give us twenty eight point oh, five billion. So then, from here, we know that in twenty ten, the instant games was ten percent higher, which means that we can take that fourteen point two of the instant sales of ah twenty two thousand nine and it has ten percent increase. So we&#x27;re going to multiply that by one point one again, and that should give us fifteen point six two. So we know it&#x27;s going to be fifteen point six two now. Twenty ten. Okay, so then, if you want to know the percent, that would give us fifteen point six two, divided by the total, which is twenty eight point o five, which gives us roughly about fifty five point seven percent. But we know we&#x27;re looking for a degree of a sector. So then let&#x27;s think about the total of a circle so we know the total angle First circle is going to be three hundred sixty, which means if this is going to be fifty five point seven percent of the circle. That&#x27;s going to be about fifty five point seven percent of three hundred sixty. Then we can take three hundred sixty and multiply that by fifty five point seven percent, represented as a decimal, which is this. And then that should give us roughly about two hundred. So we know that D is our answer.

Lily An · Answer

Okay, So this one says, if the above circle graph were drawn to scale than which of the following is closest to the difference in the degree measurements of the central angle of the sector representing brand C and the central angle of the sector of Cindy brandy, the first of all, a central angle is just an angle that starts from the center of the circle branching out all the way to the circumference of a circle like so. So that would be a central angle. If we&#x27;re comparing this central ingles off Brand C and Brandy wouldn&#x27;t want Teo a grand see degrees minus friend. He&#x27;s gone, Reese. So let&#x27;s go and find fancy and brandies degrees. Well, we do know that an entire circle is going to be three hundred sixty degrees. So if Francie is twelve percent of three hundred sixty degrees weaken, take zero point one two, which is twelve percent represented at its adjustable climbs. Three sixty. And subtract that from Brandi&#x27;s, which is your point in Sierra seven times three sixty. If we calculate that out, we should get eighteen degrees. So see for your answer

Amit Srivastava · Answer

According to the question, the sales off tickets is increasing. As for the function 110 plus duty now, the sine function has our time period off to buy, divided by by divided by six, which is equal to 12 months. Bed. These sine function represents a sigh click. Seasonal Patton. Assuming the peak Toby at Thanksgiving, it means time zero would correspond to 1/4 or three months off to you prior door Thanksgiving. Now the annual increase of sales for the year, beginning at a time T will be modelled as s off. T plus 12 is equal toe a softy, ignoring both to seasonal factors and the basic 110 in the expression that we had given in the sales expression earlier. So therefore, the equation s off. T plus 12 equals S d evaluates toe two plus trail equals 24 dollars thousands of dollars for your and it is independent off T. So therefore, the total revenue would be $24,000 for your independent off teeth

Doruk Isik · Answer

I think this problem weren&#x27;t given a circle with 10 meters over It is not our be radius times angle. So we&#x27;re partners we have the angle is for pie 05 From this we find our cling to be 10 4 or five and that it&#x27;s a pi meters and in part B were given that the angle It&#x27;s one in 10 degrees. So we have the are playing 10 radius times 100 or 1 80 transpire so we find the are clinging to the 19.498 leaders.

Tony Ni · Answer

down with them and we&#x27;ll have a certain circle. Have our planes. So five and uh dear, so 60 I&#x27;m going to find the same Go. We&#x27;re here. So, uh, to find, to find the angle we need to do department. So five over circumference, which is too high. R chose Time Street 160. That is our that is our son Our candle. So that&#x27;s plaguing my arm, which is 16 so far over two times 60 times pi time she 160. So that will give us our angle. If I plug that into a calculator, I should end up getting 4.77. And so it&#x27;s off course. And then if I I wouldn&#x27;t run it to the nearest tense It&#x27;s 4.8 G&#x27;s. I&#x27;m still here.

Ankit Gupta · Answer

you given the diameter equals Ben Feet. So the radius is half of banging good the over Denard medias by which is been by equals five I&#x27;ve given our plant equals 20 thing. So in order to find angle, our plant over radius equals run B over five feet, it becomes four, and that is for real. Now you can work Julian into degree. Four million equals one a few dignity upon by into food. Since we know the formula by Radian because when every degree. So we can write this to 29.18 after rounding off, we get to 2019. This or angle is so Rangel, Peter, in terms off Big Me is to 29.

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According to the passage, what percent of cars in…

Problem 15 Hard Difficulty

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