Convert each measure to radians and state answer in terms of pi. a.) 40(degrees) b.) -570(degrees)

Answers

Answer 1

Answer: 360 degrees=2pi radians

therefor set up a ratio and proportiopn

a.
360/2pi=40/x
times 2pix both sides
360x=80pi
divide both sides by 360
x=(2pi)/9 radians

b.
360/2pi=-570/x
times 2pix both sides
360x=-1140pi
divide boh sides by 360
x=-(19pi)/6 radians

a. (9pi)/2 radians
b. (-19pi)/6 radians

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the sears tower in chicago is 1450 feet high. A model of the tower is 24 inches tall. What is the ratio of the height of the model to the height of the actual sears tower?

Given the equation 7(x + 2) = 2x − 1, solve for the variable. Explain each step and justify your process.Jeff solved a similar equation below. Is Jeff's solution correct? Explain why or why not.
3x − 2 = 5(x + 2)
3x − 2 = 5x + 10
8x = 8
x = 1

Answers

The original equation:    7(x + 2) = 2x − 1

Eliminate parentheses on the left: 7x + 14 = 2x - 1

Subtract 2x from each side:       5x + 14 = -1

Subtract 14 from each side: 5x    = -15

Divide each side by 5 : x = -3

==============================

Jeff thought he had solved a similar equation, but his solution is not correct.

Here are his steps, with my commentary:

3x − 2 = 5(x + 2) The original equation, to be solved.

3x − 2 = 5x + 10 Eliminated parentheses on the right, correctly.

8x = 8 Subtracted 5x from each side, incorrectly.
      Left side should be -2x, not 8x .

   Added 2 to each side, incorrectly.
   Right side should be 12, not 8.

x = 1   Divided each side by 8, correctly.
But the input from the previous step was garbage,
so the output from this one is garbage.

Jeff should have taken a moment to check his solution,
back in the original equation.

The original equation: 3x − 2 = 5(x + 2)

If x = 1, then 3(1) - 2 = 5 (1 + 2)

   3 - 2 = 5 (3)

   1 = 15 I'm afraid not.
   Poor Jeff.

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. Which model best represents the data?

A.) y = 47(1.191)x

B.) y = 34(1.204)x

C.) y = 26.9x – 1.3

D.) y = 27x – 4

Answers

Answer:

Hence, the model that best represents the data is:

$y=26.9x-1.3$

Step-by-step explanation:

We are given a table that shows the estimated number of lines of code written by computer programmers per hour when x people are working.

We are asked to find which model best represents the data?

So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:

We are given 4 functions as:

$y = 47(1.191)^x$

$y=34* (1.204)^x$

$y=26.9x-1.3$

$y=27x-4$

We make the table of these values at different values of x.

x A B C D

2 66.66 49.3 52.5 50

4 94.57 71.44 106.3 104

6 134.14 103.57 160.1 158

8 190.27 150.14 213.9 212

10 269.91 217.64 267.7 266

12 382.85 315.5 321.5 320.

Hence, the function that best represents the data is:

Option C.

y=26.9x-1.3

The exponential function gotten from the table is y = 34(1.204)ˣ

Exponential function

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the lines of code written by x people.

From the table using the points:

(2,50) and (12, 320)

At (2, 50):

50 = ab² (1)

At (12, 320):

320 = ab¹² (2)

From equation 1 and 2:

b = 1.204, a = 34

The exponential function gotten from the table is y = 34(1.204)ˣ

Find out more on Exponential function at: brainly.com/question/12940982

Find the distance FG between the points F (2,7) and G (4,-1). Round your answer to the nearest tenth

Answers

Answer:

8.2

Step-by-step explanation:

The distance formula is $√((x_1 - x_2)^2 + (y_1 - y_2)^2)$

In this case, x_1 = 2, y_1 = 7, x_1 = 4, y_1 = -1.

We can plug in these values, getting $√((2-4)^2 + (7-(-1)^2) = 2√(17) = 8.2$

A regular number cube is rolled. What is the probability that a 3 will not be rolled?1. 1/6
2. 1/2
3. 4/5
4. 5/6

Answers

5/6
a normal cube has 6 numbers and 3 is 1/6 so 6/6-1/6=5/6

fifteen percent of the 20 players on the soccer team are new this year how many players on the team are new this year

Answers

15% of 20 is 3. So 3 players are new this year.

:)

Answer:

Its 3

Step-by-step explanation:

The employees of Neat Clothes work Monday through Friday. Every other Friday the company issues payroll checks totaling $32,000. The current pay period ends on Friday, July 3. Neat Clothes is now preparing quarterly financial statements for the three months ended June 30. What is the adjusting entry to record accrued salaries at the end of June

Answers

Answer:

Step-by-step explanation:

Rationale: Amount accrued: $32,000 x 7/10 = $22,400

Because we know:

The current pay period ends on Friday, July 3

Neat Clothes is now preparing quarterly financial statements for the three months ended June 30

From Friday, June 30 to July 3 is 10 days

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