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

CAN SOMEONE PLEASE HELP ME WITH THIS please please help me with this please please

Answers

Answer:

Congruent

3x= 360 I believe if this is the outside of the triangle?

x= 120

Step-by-step explanation:

brainliest

Answer:

1. Congruent

2. 3x= 360

3. x= 120

Step-by-step explanation:

The diagram shows a door that has a window in it. The front faces of the door and the window are similar rectangles that have the dimensions shown.


What is h, the height of the window in centimeters?

Answers

Answer:

Step-by-step explanation:

The diagram shows a door that has a window in it. The front faces of the door and window  are similar rectangles that have the dimensions shown. What is h, the height of the window in centimeters?

A. 66 cm

B. 150 cm

C. 186 cm

D. Not here.

Source:

Question that can be found at quizizz

Step-by-step explanation:

Let's recall that if the door and the window in it are similar rectangles, then we have:

PLEASE SOMEONE ACTUALLY HELP I WILL MARK BRAINLIEST

Answers

Answer:

C, or the third one

Step-by-step explanation:

I need help on this .....,,,

Answers

Answer: false

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

The y-intercept is at -7, and the slope is two (move to the right one and up two or left one and down two)

The figure shows the graph of y = -x² + bx + c. Find the values of b and c.​

Answers

Answer:

b = 2, c = 3

Step-by-step explanation:

The zeros are x = - 1 and x = 3

Substitute the zeros into the equation and let y = 0

- (- 1)² - b + c = 0

- 1 - b + c = 0 → (1)

- 3² + 3b + c = 0

- 9 + 3b + c = 0 → (2)

Subtract (1) from (2) term by term, that is

- 8 + 4b = 0 ( add 8 to both sides )

4b = 8 ( divide both sides by 4 )

b = 2

Substitute b = 2 into either of the 2 equations and solve for c

Substituting into (1)

- 1 - 2 + c = 0

- 3 + c = 0 ( add 3 to both sides )

c = 3

30% increase on $50
help I need the answer nowww

Answers

Answer:

$65

Step-by-step explanation:

30% of 50 is 15, so 50+15=65.

Answer:

Step-by-step explanation:

50*30%= 15 more so it'll be 65

Write an equivalent fractions for 3/7 and 1/3 using 21 as the common denominator

Answers

Answer:

9/21 & 7/21

Step-by-step explanation:

Equivalent fraction for  [tex]\frac{3}{7}[/tex] and  [tex]\frac{1}{3}[/tex] using 21 using as the common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].

What are equivalent fraction?

"Equivalent fraction is fraction with different numerator or denominator

that represents the same value or proportion of the whole."

What is common denominator?

"Common denominator is the same denominator of all the fraction"

We have to write an equivalent fractions for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex]  using 21 as common denominator.

As we know when we multiply [tex]7[/tex] by [tex]3[/tex] to get [tex]21[/tex]

and we have to multiply [tex]3[/tex] by [tex]7[/tex] to get [tex]21[/tex]

⇒[tex]\frac{3}{7}=\frac{3}{7}[/tex]×[tex]\frac{3}{3}=\frac{9}{21}[/tex]

⇒[tex]\frac{1}{3}=[/tex][tex]\frac{1}{3}[/tex]×[tex]\frac{7}{7}=\frac{7}{21}[/tex]

Hence, Equivalent fraction for  [tex]\frac{3}{7}[/tex] and  [tex]\frac{1}{3}[/tex] using 21 as common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].

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please help!! i’ll give brainliest!!

Answers

A is $1100
B is 12

hope this helped :)

Answer:

a- 1,100

b- 12

c- the price also increases.

Step-by-step explanation:

1/3x + 2y =4 x + y =-3

Answers

Answer:

x = -9/23 or y = -33/23 = -1 10/23

Step-by-step explanation:

Please mark brainliest.

Answer:

x= -9/23

y= -3/33

Step-by-step explanation:

i suck at word problems i don’t understand both of these

Answers

Answer:

c and a

Step-by-step explanation:

A beetle that Hannah observed was too small to draw at its actual size. Hannah decided to make a scale drawing of the beetle as shown above. The beetle in the drawing is 7.62 cm long and 3.81 cm wide. The scale factor of her drawing is 3. Part A: Find the actual length of the beetle Hannah observed. Show all work. Part B: Find the actual width of the beetle Hannah observed. Show all work. Part C: The actual length of each of the beetle's antennae is 0.2 cm. What is the size of each antenna on Hannah's scale drawing? Show all work.

Answers

Answer:

[tex]Actual\ Length = 2.54\ cm[/tex]

[tex]Actual\ Width = 1.27\ cm[/tex]

[tex]Scale\ Length = 0.6\ cm[/tex] --- Beetle's antennae

Step-by-step explanation:

Given

The following scale measurements

[tex]Length = 7.62cm[/tex]

[tex]Width = 3.81cm[/tex]

[tex]Scale\ Factor = 3[/tex]

Solving (a): The actual length.

We simply divide the scale length by the scale factor.

[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]

[tex]Actual\ Length = \frac{7.62cm}{3}[/tex]

[tex]Actual\ Length = 2.54\ cm[/tex]

Solving (b): The actual width.

We simply divide the scale width by the scale factor.

[tex]Actual\ Width = \frac{Scale\ Width}{Scale\ Factor}[/tex]

[tex]Actual\ Width = \frac{3.81\ cm}{3}[/tex]

[tex]Actual\ Width = 1.27\ cm[/tex]

Solving (c):

Given: Actual Length of the beetle's antennae is 0.2 cm.

Required: Determine the scale measurement.

This is solved using:

[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]

[tex]0.2\ cm = \frac{Scale\ Length}{3}[/tex]

[tex]Scale\ Length = 0.2cm * 3[/tex]

[tex]Scale\ Length = 0.6\ cm[/tex]

Aditi can walk 1.7 miles in half an hour. At the same constant speed, how many hours would it take her to walk 17 miles?

Answers

Answer:

It takes aditi 5 hours to walk 17 miles.

Step-by-step explanation:

First, find her speed in miles per hour.

1.7 miles in half an hour.

1.7 * 2 = 3.4

3.4 miles per hour.

To find the time, use the distance formula.

Distance = rate * time

17 = 3.4 * time

17/3.4 = time

5 = time

Use the clues in the graph above to identify the y-intercept.

A. 2

B. (2,0)

C. (0,2)

D. (0,1)

Answers

The answer is D because it lines up with the y intercept

Mikah and Gracie were running laps at the local gym. Mikah ran 1 and 4/8 laps, and Gracie ran 1 and 1/2 laps. Who ran a further distance?

Answers

Answer:

Trick question they both ran equal distance

Step-by-step explanation:

Gracies distand 1 and 1/2 is already in simplist form, but Mikahs distance 1 and 4/8 can be reduced.

More specifically the fration 4/8 can be reduced, finding the largest common multiple between 4 and 8 we find that 4 is the largest number that goes into both.

This results in the simplification of 1 and 4/8 to 1 and 1/2 which is the same as Gracies distance.

Assume your gross pay per pay period is $2,300.00 and you are in the 28 percent tax bracket. Calculate your net pay and spendable income if you save $230.00 per pay period in a tax-sheltered annuity. (Do not round intermediate calculations. Round your answers to the nearest whole dollar.)

Answers

1,400 js the answer
I have it for a class
Explanation
Bababoey

Mia buys 50 coats at $28 each she sells 38 of these coats at$49 each she sells the rest of the coats at$40 each find the overall percentage profit mia has made on these coats

Answers

Answer:

67.28 %

Step-by-step explanation:

Given that:

Price at which the coats are bought = $28

Number of coats bought = 50

Total money spent on buying the coats = 50 [tex]\times[/tex] 28 = $1400

Number of coats sold at $49 each = 38

Money earned by selling 38 coats at $49 each = $1862

Number of coats left = 50 - 38 = 12

Money earned by selling 12 coats at $40 each = $480

Total money earned = $1862 + $480 = $2342

To find:

The overall profit percentage made by Mia ?

Solution:

Formula for Profit percentage:

[tex]Profit\% = \dfrac{Sales\ Price - Cost\ Price}{Cost\ Price}\times 100\\\Rightarrow Profit\% = \dfrac{2342 - 1400}{1400}\times 100\\\Rightarrow Profit\%=\dfrac{942}{1400}\times 100\\\Rightarrow Profit\%=67.28\%[/tex]

Therefore, overall percentage profit made by Mia by selling the coats= 67.28 %

a.
Tell if the sequence is arithmetic, geometric or
neither: 5, 30, 180, 1080

Answers

Answer:

It is geometric

Step-by-step explanation:

Because it is increasing as 6 is being multiplied.

i need heelllppppp plzzzz someone helllppp meee

Answers

Answer:

The equation of the line is y =  [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slopeb is the y-intercept

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

∵ A line passes through points (2, -1) and (-3, 3)

x1 = 2 ad y1 = -1

x2 = -3 and y2 = 3

→ Use the rule of the slope above to find the slope of the line

∵ m = [tex]\frac{3--1}{-3-2}[/tex] = [tex]\frac{3+1}{-5}[/tex] = [tex]\frac{4}{-5}[/tex]

m = [tex]-\frac{4}{5}[/tex]

→ Substitute the value of m in the form of the equation above

y =  [tex]-\frac{4}{5}[/tex] x + b

→ To find b substitute x and y in the equation by the coordinates of one  

   point of the given points

∵ x = 2 and y = -1

∴ -1 = [tex]-\frac{4}{5}[/tex] (2) + b

∴ -1 = [tex]-\frac{8}{5}[/tex] + b

→ Add [tex]\frac{8}{5}[/tex] t both sides

∵ -1 + [tex]\frac{8}{5}[/tex] = b

[tex]\frac{3}{5}[/tex] = b

→ Substitute the value of b in the equation

∴ y = [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]

The equation of the line is y =  [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]

A dog has a litter of 5 puppies. You plan to adopt 2 of the puppies. In how many ways can you choose 2 of the puppies from the litter?

Answers

Step-by-step explanation:

Number of choices = 5C2 = 5 * 4 / (1 * 2) = 10.

The perimeter of a parallelogram must be no less than 40 feet. The length of the rectangle is 6 feet. What are the possible measurements of the width? Write an inequality to represent this problem. Use w to represent the width of the parallelogram. [Hint: The formula for finding the perimeter of a parallelogram is \(P=2l+2w.\) What is the smallest possible measurement of the width? Justify your answer by showing all your work.

Answers

Answer:

A. 2l + 2w > 40

B. 14 = w

Step-by-step explanation:

B. 40 = ( 2/6) + 2w

40 = 12 +2w

subtracted by

28 = 2w

and that equals

14= w

 

What is the slope of this line?



Enter your answer as a whole number or a fraction in simplest form in the box.

Answers

Answer:

0

Step-by-step explanation:

As evident by the graph, nowhere does the line have any sort of slope. So, the slope must be zero.

y = mx + b

y = 2 (m, slope, is zero and b = 2, the y-intercept)

Kelvin ran in a race over the weekend and ran 4 kilometres in 20 minutes. Choose all of the th emu it rates that represent the problem A) 1 km in 5 min B)5 km in 1 min C)4/20 km in 1 min D)4/20 min in 1 km E) 3/5 km in 1 min

Answers

Answer:

A) 1 km in 5 min

C.) 4/20 km in 1 min

Step-by-step explanation:

Given that:

Kevin ran 4 km in 20 minutes

A) 1 km in 5 min B)5 km in 1 min C)4/20 km in 1 min D)4/20 min in 1 km E) 3/5 km in 1 min

4 km in 20 minutes :

4km / 20 minutes = 1km / 5 minutes

4/20 km in 1 minute = 0.2 km in 1 minute

If :

1 km = 5 minutes

x km = 1 minute

Number of kilometers in 1 minute :

1/5 = 0.2 km per minute

Hence, Option A and C

Consider the statement: 4−3+5=−6+8+4. This is a mathematically correct sentence.Is the sentence true or false? Explain how you know.

Answers

Answer:

This is true because 6 does infact equal 6

Step-by-step explanation:

First see if the solution is true by seeing if x = x

So solve both sides

4-3+5 = -6+8+4

1+5 = 2+4

6 = 6

True this answer is true

Please help! 2nd time asking!

Answers

Answer:

4

Step-by-step explanation:

Function 1 is moving at a constant rate meaning it has the rate of change of 0/1 or 0.

Function 2 says y is 4x meaning that the rate of change is 4/1 or 4.

0 - 4= I-4I or 4

There are 5 hockey games and 7 football games happening in the upcoming month. You decide to attend 3 games by picking at random. What is the probability that you pick 3 football games? Leave your answer as a simplified fraction.

Answers

Answer:

1/4

Step-by-step explanation:

5 plus 7 equals to 12

3 football games

3/12=1/4

A jar contains 5 blue, 3 red. and 7 white balls. What is the approximate probability of drawing a blue or red ball on the first draw?
A. 33%
B. 80%
C. 53%
D. 67%

Answers

Answer:

C

Step-by-step explanation:

(will mark brainliest)

The new borders in Europe caused tensions to grow.

A. TRUE
B. FALSE

Answers

Answer:

A. True

Step-by-step explanation:

In Europe and across the world, the tensions from the Cold War affected the borders of various countries, but the two opposing sides were not quick to agree and “forgive” each other, like siblings do. Overall, the Cold War affected the borders of Europe and other countries across the world by splitting various countries and dividing continents.

Answer:

this is true mark me brainliest please have a great

day :)

Step-by-step explanation:

Write a linear function f with the values f(−1)=8 and f(5)=6.

Answers

Answer:

f(x)=1/3x+23/3

Step-by-step explanation:

Find the slope:

m= -1/3

Find the y-intercept:  

b= -7 2/3

Substitute in the numbers to get:

f(x)=1/3x+23/3

Hope this helps! :)

The value of the linear equation will be;

⇒ f (x) = -1/3x + 23/3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The values are;

⇒ f (-1) = 8 and f (5) = 6

Now,

Let the linear function is,

⇒ f (x) = ax + b

Substitute f (-1) = 8 and f (5) = 6 in above equation as;

⇒ f (-1) = a × -1 + b

⇒ 8 = - a + b   ... (i)

And, ⇒ f (5) = a × 5 + b

⇒ 6 = 5a + b   ... (ii)

Solve (i) and (ii) as;

a = - 1/3 and b = 23 / 3

So, The linear equation become;

⇒ f (x) = ax + b

⇒ f (x) = -1/3x + 23/3

Thus, The value of the linear equation will be;

⇒ f (x) = -1/3x + 23/3

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What is the solution to the following inequality?
-82 ≤ 5v + 3

Answers

Answer:

v ≥ -17

Step-by-step explanation:

-82 ≤ 5v + 3

-82 - 3 ≤ 5v

5v ≥ -85

v ≥ -17

work out 4.52 times by 36

Answers

I just it into a calculator and got 162.72. Hope this helps you! Have a nice day and a nice rest of the holidays!

The product of 4.52 times by 36 is 162.72

Given,

4.52 times by 36

We need to find the product.

How do multiply decimal numbers?

Example:

2.3 x 3.4 = 7.82

There are two numbers after the decimal point.

In 2.3 there is one number after the decimal point.

In 3.4 there is one number after the decimal point.

Now,

1 + 1 = 2 numbers

7.82 has two numbers after the decimal point.

We have,

4.52 times by 36

4.52 x 36 = 162.72

4.52 x 6 = 27.12

4.52 x 3 = 13.56

         4.52

       x   36

        27.12

     13.56        

     162.72

4.52 has two numbers after the decimal point.

162.72 has two numbers after the decimal point.

Thus the product of 4.52 times by 36 is 162.72

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