Tammy is at the dentist's office waiting on her appointment. She notices that the 6-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle.Part 1: How many radians does the minute hand move from 1:20 to 1:55? (Hint: Find the number of degrees per minute first.)
Part 2: How far does the tip of the minute hand travel during that time?
Part 3: How many radians on the unit circle would the minute hand travel from 0° if it were to move 5π inches?
Part 4: What is the coordinate point associated with this radian measure?

Answers

Answer 1

Answer: PART 1:55-21=35
35/60=.58333
360×.58333 =210 DEGREES
210*pi/180 = 3.665 RADIANS

PART 2: (pi) x 2r x .58333
3.14 x 12 x .58333 = 21.98 in

PART 3: 5π inches = 5 x 3.14 = 15.708 inches / 6 in radius = 2.618 radians

PART 4: 2.618 radians * 180/pi = 150°
x coordinate = 6(cos 150°) = -5.196
y coordinate = 6(sin 150°) = 3
the coordinates would be (-5.196, 2)

Answer 2

Answer:

Answer:

Part 1:

In order to find how many radians the minute hand moves from 1:20 to 1:55, we need to remember that there are 60 minutes in an hour (clock) and there are 360 degrees in the clock since the clock is a circle. After dividing 360 by 60, we find that each minute is equal to 6 degrees. After that, we can subtract the times, which tells us that there are 35 minutes between 1:20 and 1:55. Using this we can just multiply this out, to get 35 times 6, which is equal to 210 degrees. We can get our final answer by converting this into degrees. Since one 1 degree is about 0.0174, we can set up a proportion. After solving, we will get that the minutes hand moves 3.555 radians in total.

Part 2:

In order to find how much the minute hand moves, we must find the circumference, so we get c= pi times diameter. Once plugging in the 12, we see that c=37.68. 37.68 is the circumference of the entire clock and since we only need the circumference/length/distance of 35 minutes, we can set up the proportion of 37.68 in./60=x/35 and solve to get 21.98, which means 21.98 is how far the minute hand travels in 35 minutes.

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Anyway you can help me out?

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Okay, so to get the inverse function, you need to isolate the x first.

You can do this by multiplying by 4. Then, -2 to get just 3x and finally divide by 3 so that you just have x on its own. If we write this all out, we get (4x-2)/3.

Next, we need to substitute 24 into x's place. So, we have ((4x24)-2)/3. Then, we can just simplify. 4x24=96. 96-2=94. 94/3=32.6.

Hope this helps :)

Whosever answers first gets marked brainliest!

Answers

Answer:

Step-by-step explanation:

$5.85 / 13 cans = $0.45/can

$9.45 / 21 cans = $0.45/can

13 cans for $5.85 = 21 cans for $9.45

The ratios are equal.

Which of the binomials below is a factor of this expression? 100A2 - 49B2

Answers

The answer is D. 10A +7B on apex.

The point at which a company's profits equal zero is called the company's break-even point. let R represent a company's revenue, let C represent the company's costs, and let x represent the number of units produced and sold each day.R(x)=12x
C(x)=6.5x+22000
a) Find the firm's break-even point; that is, find x so that R=C
b) Find the values of x such that R(x)>C(x). this represents the number of units that the company must sell to earn a profit.

Answers

R ( x ) = 12 x ( revenue )
C ( x ) = 6.5 x + 22,000 ( cost )
a ) Break-even point : R ( x ) = C ( x )
12 x = 6.5 x + 22,000
12 x - 6.5 x = 22,000
5.5 x = 22,000
x = 22,000 : 5.5
x = 4,000
b ) R ( x ) > C ( x )
x > 4,000
The number of units that the company must sell to earn a profit is 4,001 or more.

a) R=C implies 12x=6.5x + 22000, and then 12x - 6.5x= 22000, 5.5x= 22000, from where we find x = 22000 : 5.5, x=4000.

b) For R(x)>C(x), we get 12x>6.5x + 22000, which implies after the same calculation, x>4000

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Answers

1 9/16 < 1 5/8 one nine sixteenths is larger than one five eighths

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!!!!!!!!!!!!!! PLEASE HELP ME !!!!!!!!!!The scatter plot shows the trade-in value and private-party value of 10 cars. The equation for the regression line is = 1.1x + 1.37. Based on the equation, which statement is true?

A. For each increase of $1000 in private-party value, the trade-in value increases by $1100.

B. For each increase of $1000 in private-party value, the trade-in value increases by $1037.

C. For each increase of $1000 in trade-in value, the private-party value increases by $1100.

D. For each increase of $1000 in trade-in value, the private-party value increases by $1037.

Answers

In the question, they GIVE you the equation for the line:

   y = 1.1 x + 1.37 .

When you look at the graph, you notice that the numbers
are actually thousands, so the equation is really

   y = (1.1 thousand) x + (1.37 thousand)
or
   y = 1,100 x + 1,370 .

The slope of the line is 1,100 .

Choice 'C' says that, because

the slope of any graph = (change in 'y') / (change in 'x') .

C. For each increase of $1000 in trade-in value, the private-party value increases by $1100.

because when you see the chart when the trade in value goes up so does the private party value. The chart shows 1,000 in trade in value increasing and then private party value also increase by 11,000.

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