A robot has a straight arm 20 inches long that can rotate about the origin of a coordinate system. If the robot’s hand is located at (-20,0) and then rotates through an angle of 45°, what is the new location of the hand with the coordinates approximated to the nearest 0.01 inch?

Answers

Answer 1

Answer:

The location of the robots hand after rotating 45° counterclockwise from (-20, 0) in inches is (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0)) in inches is (-14.14, -14.14)

Step-by-step explanation:

The initial location of the robots hand = (-20, 0)

The angle through which the robot rotates his hand = 45°

∴ We have the length of the robots hand = 20 inches

We note that (-20, 0) is in the 2nd Quadrant

The location of the robots hand after rotating 45° counterclockwise = 135°

Therefore, the location of the robots hand after the rotation = (20×cos(135°), 20×sin(135°)) = (-10·√2, 10·√2) = (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0) = 225°

Therefore, the location of the robots hand after the rotation = (20×cos(225°), 20×sin(225°)) = (-10·√2, -10·√2) = (-14.14, -14.14)


Related Questions

please answer this question

Answers

Answer:

16%

Step-by-step explanation:

Add all of the dots together, you get 4/25 (the household of 3/total) and multiply top and bottom by same number. the bottom should equal 100. 25*4=100, 4×4=16. 16/100=16%

Use inductive reasoning to predict the most probable next number in each list.
6, 9, 15, 24, 36, 51, ?

Answers

Answer:

69

Step-by-step explanation:

The numbers increase by 3 more than the previous amount increased by.

6 +3 9 +6 15 +9 24 +12 36 +15 51 +18 69

69 ! ............................

A survey of 100 doctors revealed that 2 out of every 5 doctors recommended Brand M deodorant. Based on these results, how many doctors did NOT recommend Brand M?

60

40

20

140

Answers

Answer:

Ok well it’s obviously not 140 Bc that’s more Doctors than they had to start and it isn’t 20, it’s not 40, so it’s 60.

Step-by-step explanation:

Also if you do 100/5 you get 20 and 5-2 is 3 so 20 times 3 is 60 so yeah

Find two consecutive whole numbers that the square root of 85 lies between.

Answers

9514 1404 393

Answer:

  9, 10

Step-by-step explanation:

It helps if you're familiar with the squares of small integers.

  9^2 = 81

  (√85)^2 = 85

  10^2 = 100

The square root of 85 lies between 9 and 10.

_____

Of course, you can find this answer using your calculator:

  √85 ≈ 9.2195, a number between 9 and 10

What is the slope of this line?

Answers

Answer:

-3/2

Step-by-step explanation:

you can use the rise over run method to find the slope of this line

You spend 3 hours every day practicing the piano. What fraction of the day do you spend practicing the piano? Give your answer in simplest form.

Answers

Answer:

1/8th

Step-by-step explanation:

since there are 24 hours in a day

Answer: 1/8

Step-by-step explanation:

a day is 24 hours long. If you spend 3 hours out of 24 hours a day to practice piano it would be 3/24. Then to get it in simpilest  form, you divide 3 by 3 and 24 by 3 which would get you the answer 1/8.

Hope i helped have a good rest of your day!!

find x it is multiple choice.​

Answers

Answer:

25

Step-by-step explanation:

3 + 0.1 + 0.006 in a decimal and in word form plz help​

Answers

Answer:

decimal form: 3.106

word form:   3 and one hundred and 6 thousandths

Step-by-step explanation:

Answer:

Decimal form:

3.106

Word form:

Three and one hundred six thousandths.

Step-by-step explanation:

answer both and i will give you branliest

Answers

I think is 24 and 28

Hope this helps

Which equation has no solution? Select all that apply.
A 15 - 3x = 5(x + 4) - 8x
B) 2(x - 7) = 2x – 10
C) -2 - 2x = 6(2x + 2)
D) 24x – 22 = -4(1 - 6x)​

Answers

Answer:

I think it is C

Step-by-step explanation:

What’s the slope and y intercept of (3,4) and (0,-3)

Answers

Slope is 7/3 and y intercept is -3.

Slope: 7/3

Y intercept: -3

disssss tooo helllllllpppp shoals shzn

Answers

Answer:

3/2

Step-by-step explanation:

Use this formula y2-y1/x2-x1

PLUG IN YOUR POINTS

-3 - -9/ 8- 4 =

6/4 (simplify)

1.5 or 3/2

Hope this helps ya!!

HELP ASAP!!!
If f(x) = -4x + 1, find f(2).
Enter the numerical value only

Answers

Answer:

-7

Step-by-step explanation:

-4(2)=-8

-8+1=-7........

numbers with a sum of 1

Answers

Answer:

0.5 + 0.5, 0 + 1, 0.6 + 0.4, etc etc

Step-by-step explanation:

0.5 and 0 are 2 of them I think

Determine which situation could be represented by the system of linear equations given below

Answers

The answer is
56x-(23y)^9/3 = 42

If the scientific notation is 3.042x10^2 what would it looked like in standard form? please help.

Answers

Answer:

Convert to scientific notation. 1.) 2,800 2.8*10%. 2.) 742,00p, 7.42 x 105. 3. ... When translating scientific notation to standard form, you need to decide which way to move the decimal point. If the exponent is negative, you move the decimal point to the. -left ... We should move the decimal point 3 places to the left.

Step-by-step explanation:

Answer:

304.2

Step-by-step explanation:

3.042 * 100 = 304.2

what is the sample space for the suits of a standard 52-card deck of cards?​

Answers

Answer:

lo siento tanto pero necesito los puntos:(

Step-by-step explanation:

6. Solve the equation: (c+3)−2c−(1−3c) = 2



a. c=−1 b. c=1 c. c=0 d. c=4

Answers

Answer:

C- C=0

Step-by-step explanation:

Solve this equation for x by graphing.
-4x - 1 = 5^x + 4
Please help! Asap

Answers

Answer:

-1.28

Step-by-step explanation:

You would put these two equations into a graphing ccalculator:

y = -4x - 1

and

y= 5^x + 4

Wherver they intersect is your answer.

These two happen to intersect at (-1.28,4.13)

Since the equation has x-values, you would give the first number (x-coordinate) as your answer.

 

Can anyone help me with this for some reason I can’t get my head round it

Answers

Every yeat Mikes car value is going down 30% so in 2017 it would be £4116

Answer:

4116

Step-by-step explanation:

12000÷100=120 2015

120×70=8400

8400÷100=84 2016

84×70=5880

5880÷100=58.8 2017

58.8×70=4116

Urgent! Please help!
Solve the given equation:
3(x-2)^4/3 =243

Answers

Answer:

x is equal to 29.

Step-by-step explanation:

[tex]3(x - 2)^{\frac{4}{3}} = 243\\(x - 2)^{\frac{4}{3}} = 243 / 3\\(x - 2)^{\frac{4}{3}} = 243 / 3\\(x - 2) =( 243 / 3)^{\frac{3}{4}}\\x - 2 = 81^{\frac{3}{4}}\\x = 3^3 + 2\\x = 27 + 2\\x = 29[/tex]

Marcy purchases a total of 12 adult, child, and senior tickets for an art museum tour. Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. If she purchases 4 more child tickets than senior tickets and spends a total of $38, which statement is true?
The solution to this system is no viable because it results in fractional values of tickets.
The solution to this system is viable.
The solution to this system is nonviable because it results in negative values of tickets.
The solution to this system is no viable because it results in fractional values of money.

Answers

Answer:

A: The solution to this system is no viable because it results in fractional values of tickets

Step-by-step explanation:

Let number of adult, child, and senior tickets be x, y and z respectively.

Thus;

x + y + z = 12 - - - (eq 1)

she purchases 4 more child tickets than senior tickets.

Thus, y = z + 4

Thus:

x + (z + 4) + z = 12

x + 2z + 4 = 12

x + 2z = 8 - - - (eq 2)

Also, We are told that Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. She spends a total of $38,

Thus;

5x + 2(z + 4) + 4z = 38

5x + 2z + 8 + 4z = 38

5x + 6z + 8 = 38

5x + 6z = 38 - 8

5x + 6z = 30

Divide through by 5 to get;

x + (6/5)z = 6 - - - (eq 3)

Subtract eq 2 from eq 1 to get;

2z - (6/5)z = 8 - 6

2z - (6/5)z = 2

Multiply through by 5 to get;

10z - 6z = 10

4z = 10

z = 2½

It's not possible to have a fractional value of a ticket and thus we can say that the solution is not viable.

At $1.47 per gallon of gas, what is the cost of 15 gallons?

Answers

Answer: $22.05

Step-by-step explanation:  

We know,

1 gallon = $1.47

Then,

15 gallons = $1.47 * 15 = $22.05

Answer:

1 gallon gas = 1.47

15 gallon gas = 15×1.47

=22.05

A company that makes hair-care products had 8,000 people try a new shampoo. Of the 8,000 people, 56 had a mild allergic reaction. What percent of the people had a mild reaction?​

Answers

Answer: 0.007%

you divide 56% by 8,000 and you get 0.00007

then you multiply it by 100 and you get 0.007

so its 0.007%

How many 8ths of an inch are there in 3/4

Answers

Answer:One-half names the same number as two-quarter or as three sixths  or as four-eights . Three-fourths  is equal to six-eighths because they are different ways of expressing the same number.

Step-by-step explanation:

what is the equation of this graph?

Answers

Answer:

C. x=4

Step-by-step explanation:

In this graph the x value never changes, it is always equal to four. In this line the slope is undefined and there is no y-intercept. For all straight vertical lines, the equation will be x equals to whatever x value it is.

I need help with this.​

Answers

Answer:

[tex]x + (3x - 9) = 5x - 30 \\ x + 3x - 9 = 5x - 30 \\ 4x - 9 = 5 x - 30 \\ - 9 + 30 = 5x - 4x \\ 21 = x \\ so..value \: of \: x \: is \: 21 \\ so. \\ <ACD = 5 \times 21 - 30 = 105 - 30 = 75° \\ < ACB = 180° - 75° = 115°[/tex]

<ACB = 105°

it is correct ans.

plazzz mark is as a brilliant ans

HELP WILL MARK BRAINLIEST

Answers

Answer:

D

Step-by-step explanation:

Answer: it would be d

Step-by-step explanation:

The table below shows the distances and travel times for three different flights departing from Minneapolis.

Destination Travel time (in hours) Distance (in \text{km}kmstart text, k, m, end text)

Phoenix 333 168916891689

Minot 222 913913913

San Francisco 444 255625562556

Which flight has the fastest average speed?

Answers

Answer:

San Francisco with average speed of 639 km/hour

Step-by-step explanation:

Phoenix 3 1,689

Minot 2 913

San Francisco 4 2,556

Phoenix average speed = distance travelled / time taken

= 1,689 km /3 hours

= 563 km/hour

Minot average speed = distance travelled / time taken

= 913 km / 2 hours

= 456.5 km/hour

San Francisco average speed = distance travelled / time taken

= 2,556 km / 4 hours

= 639 km/hour

The fastest average speed flight is San Francisco with an average speed of 639 km/hour

Answer:

San Francisco with average speed of 639 km/hour

Step-by-step explanation:

Money in a particular savings account increases by about 6% after a year. How much money will be in the account after one year if the initial amount is $100?

Answers

$106 dollars since 6% of 100 is 6 and u add 6 dollars to 100 and u get $106
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