A rectangle is fenced off for a robot competition. The dimensions of the competition area are 35 feet by 25 feet. To help track the robots, the southwest vertex of the rectangle is assigned coordinates (0, 0) and the northeast vertex is assigned coordinates (35, 25). The robot that traveled from (3, 18) and moved in a linear path for 5 seconds. After 5 seconds, the robot’s position was at (31, 6). What is the approximate speed of the robot during the 5 seconds? Give your answer to the nearest whole number.

Answers

Answer 1

Answer:

The approximate speed of the robot during the 5 seconds is:

6 ft/s

Step-by-step explanation:

To calculate the speed of the robot, you must begin with the positions, the first position (3, 18) and the second position (31, 6), you can see, in the height it moved from 3 to 31, it means 28 feet, in the width it moves from 18 to 6, it means 12 feet, with these data you can construct a triangle where you have the opposite leg and adjacent leg, now you must calculate the hypotenuse, because it is the linear path from the first position to the second position that the robot took, for this, you can use the Pythagoras theorem:

[tex]hypotenuse^{2}[/tex] = [tex]opposite leg^{2}[/tex] + [tex]adjacent leg^{2}[/tex][tex]hypotenuse^{2}[/tex] = [tex]12^{2} +28^{2}[/tex][tex]hypotenuse=\sqrt{ 12^{2}+28^{2} }[/tex][tex]hypotenuse=30.46 ft[/tex]

With the value of the distance traveled, and the time used (5 seconds), we can calculate the speed with the next formula:

[tex]Speed =\frac{distance}{time}[/tex][tex]Speed = \frac{30.46 ft}{5 s}[/tex]Speed = 6.09 ft/s

As you need the speed in the nearest whole number, then:

Speed = 6 ft/s

Related Questions

What is the average rate of change for the function f(x) = 3x2 – 5 on the interval –3 < x < -1​

Answers

Answer:

Algebra Examples

Popular Problems Algebra Graph f(x)=3x^2-5

f

(

x

)

=

3

x

2

5

Find the properties of the given parabola.

Tap for more steps...

Direction: Opens Up

Vertex:  

(

0

,

5

)

Focus:  

(

0

,

59

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

61

12

Select a few  

x

values, and plug them into the equation to find the corresponding  

y

values. The  

x

values should be selected around the vertex.

Tap for more steps...

x

y

2

7

1

2

0

5

1

2

2

7

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:  

(

0

,

5

)

Focus:  

(

0

,

59

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

61

12

x

y

2

7

1

2

0

5

1

2

2

7

image of graph

Step-by-step explanation:

what do entertainment, utilities, and reserves have in common?

Answers

Answer:

these are some factors need to have a business

hope this helps

have a good day :)

Step-by-step explanation:

Eric is a car salesman. He earns a weekly salary of $175 plus 4% commission on sales. This week he sold a car for $35,450.

A) How much commission did he earn this week?

B) What did he earn in TOTAL this week?

Answers

Answer:

Be quiet you nerd

Step-by-step explanation:

A rectangle is 32 meters long and 4 meters wide. Which equation represents the area (A) of the rectangle?

A= 32 x 4
32= A x 4
32= (4x A) x 4
A=( 2x4) + (2x32)

Answers

I think the answer is A. Because, 32 * 4, you would have to find the answer (A) so 32 * 4 = A.

If m\angle A=(6x+10)^{\circ}∠A=(6x+10) ∘ and m\angle B=(4x+30)^{\circ}∠B=(4x+30) ∘ , then find the measure of \angle B∠B.​

Answers

A=6 × + 10=88555%__/455

Which is the graph of f(x) = 100(0.7)?

Answers

Answer:

f(x) = y = 70

Step-by-step explanationsince

since 100 · 0.7 = 70

      f(x) = y = 70

Answer:

Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Step-by-step explanation:

Edge

find the next number 2,5,12,25,54 ​

Answers

Answer:

Step-by-step explanation:

The next number is 110

Indicate the effect each separate transaction has on investing cash flows. (Amounts to be deducted should be indicated with a minus sign.) Sold a truck costing $45,500, with $24,200 of accumulated depreciation, for $10,200 cash. The sale results in a $11,100 loss. Sold a machine costing $12,800, with $9,100 of accumulated depreciation, for $7,200 cash. The sale results in a $3,500 gain. Purchased stock investments for $17,100 cash. The purchaser believes the stock is worth at least $32,200.

Answers

$4,000 just because

Answer:

the answer is 4000$ i hope that helps

If you spin this spinner 30 times, how many times would you expect to get not get yellow?

Answers

It would be a 1/5 chance so maybe 10

Which of the following rational functions is graphed below?

Answers

Answer:

[tex]A = \frac{1}{(x-1)(x+1)}[/tex]

Step-by-step explanation:

Looking at the dashed lines in the graphic, these functions have two discontinuities, at x = -1 and at x = 1.

A discontinuity in a rational function is a point in which the denominator of the function is 0.

For these options, the denomiator is 0 at both x = -1 and x = 1 for only option A, so the answer is:

[tex]A = \frac{1}{(x-1)(x+1)}[/tex]

What is the average rate of change for f(x) = 2x - 4 over the interval 2 Sxs 6?
A)
8
B)
10
C)
15
D)
18

Answers

Answer:

8 i think i hope it helps

good night

Hey yall!! How do I do this ???

Answers

put the y= equation into a calculator and then click graph and then after you see the graph , click 2nd and then graph to get the coordinates

Answer:

Step-by-step explanation:

just pick three values (numbers)  into the function and calculate the other unknown

You can pick an X or you can pick a Y, then solve for Y or X respectively.

Record these x,y pairs in the table

once you have at least two points you can graph the function

           y = mx + b     y-intercept form of the line function

                                  m = slope    b is the value of y when x = 0

   y = -5x/2 -5      let x = 0      solve for y

   y = -5(0)/2 -5

   y =    0 - 5

   y = -5

  y = -5x/2 -5                          solve for x            

  y + 5 = -5x/2 - 5 + 5             add 5 to both sides

  y + 5 = - 5x/2

 (y +5 )(-2/5)  = (-5x/2) (-2/5)

 (y +5 )(-2/5)  = x       let y = 0    

(0) +5)(-2/5)  = x

      5(-2/5)  = x

           -2   =  x

I'll let you have the third variable to pick  and solve for the dependent variable.  The dependent variable is just wha it sounds like, it is dependent on which ever independent (the value you randomly pick) variable.

Pick either x or y then solve for y or x

  y = -5x/2 -5              solve for y

  x = (-2/5) (y +5)        solve for x

CE and FH are parallel lines.

Which angles are supplementary angles?

Answers

Answer:

<CDG and <CDB are supplementary angles.

Answer:

hff

Step-by-step explanation:

< CDG and <CDB are supplementary angles.

msm555 is correct

hope it is helpful to you ☺️☺️☺️

21. Find the value of x.

22. Find the value of x.

Answers

Answer:

62° & 54°

Step-by-step explanation:

Answer 21 :-

We know that the measure of a straight line is 180° .

x + 118° = 180° x = 180° - 118° x = 62°

Answer 22:-

2x + 1 + 71 = 180 2x = 180 - 72 2x = 108 x = 54°

Answer:

62° & 54°

Step-by-step explanation:

Answer 21 :-

We know that the measure of a straight line is 180° .

x + 118° = 180°

=> x = 180° - 118°

=> x = 62°

Answer 22:-

2x + 1 + 71 = 180

=> 2x = 180 - 72  

=> 2x = 108

=> x = 54°

Help
This is trigonometry

take it seriously, karma exists
I can help you too
I just wanna know if the result is 10.0 rounded to the nearest tenth
I used Sin
Please correct me

Answers

Answer:

Yes, your solution is correct

Step-by-step explanation:

sine = opposite leg / hypotenusesin 51° = √61 / WYWY = √61 / sin 51°WY = 10.0499134825 ≈ 10.0

can u solve it please.​

Answers

Answer:

No I'm doing this for a quest

Step-by-step explanation:

Hope you find the answer though

Jackson's puppy gains 104 pounds in 52 weeks. At that rate, how many pounds would his puppy gain in 40 weeks?

Answers

Answer:

80

Step-by-step explanation:

104:52 = 2:1 = 2 pounds per (1) week

40 × 2 = 80

2. One pound of pineapples costs $4.80. Jessica bought
3/4 pounds. How much did Jessica spend on pineapples?

Answers

Answer:

$3.60

Step-by-step explanation:

Jessica spent $3.60 on 3/4 pounds of pineapple.

The diameter of a semicircle is 4 kilometers what is the semicircle's radius

Answers

Answer:

To find the radius, just take half of the diameter. The answer is 2.

Step-by-step explanation:

Semicircle Area and Perimeter

Area (A)

6.2832in²

A = πr²/2 = 2 * π [in²] ≈ 6.2832 [in²]

Perimeter (L)

10.2832 in

L = πr + d = 2 * π + 4 [inch] ≈ 10.2832 [inch]

Hope this helped!!!

The radius of the semicircle is 2 kilometers.

What is a diameter?

A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.

Given:

The diameter of a semicircle is 4 kilometers.

Then the radius of the semicircle,

= diameter / 2

= 4/2

= 2 kilometers.

Therefore, the radius is 2 kilometers.

To learn more about the diameter;

https://brainly.com/question/5501950

#SPJ2

Solve x² + 5x + 6 = 0​

Answers

Answer:

x=-2,-3

Step-by-step explanation:

x^2+5x+6=0

(x+2)(x+3)=0

x+2=0

x=-2

x+3=0

x=-3

For a quadrilateral to be a rhombus, the diagonals ______________ and ______________.

first blank choices:
must be congruent
must not be congruent
can be congruent or not congruent

second blank choices:
must be perpendicular
must not be perpendicular
can be perpendicular or not perpendicular

Answers

9514 1404 393

Answer:

can be congruent or not congruentmust be perpendicular

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other. If they are congruent, the rhombus is a square.

Your blanks can be filled with ...

can be congruent or not congruentmust be perpendicular

We would like to point out that these descriptors also apply to a kite. The figure will only be a rhombus if the diagonals bisect each other (as for any parallelogram).

Help me with questions 14 and 15! I will give brainliest!!

Answers

Answer:

14=9-11

15= 82.2%

Step-by-step explanation:

23/28=0.8214

A Solve each problem.
1. Henry flies his plane at 240 mph for 3 hours. How far does he travel?​

Answers

Distance = speed x time

Distance = 240 x 3 = 720 miles

Answer:

henry doesn't travel but plane travel

Step-by-step explanation:

240m×3hour240m×60×60sec2592000m/s

7 and - 1 1/2 on the number line?

Answers

Your answer would be B
You can ignore the fraction and do
7-1
Which gives you 6.

Then add the fraction, and your final answer is

6 1/2

Padma's three fastest times in the 50-meter backstroke event were 49.06 seconds, 49.55 seconds, and 48.97 seconds. What is the difference, in seconds, between her two fastest times?​

Answers

Answer:

0.51 seconds

Step-by-step explanation:

49.55 - 49.06 = 0.51 seconds

Help please.................

Answers

Answer:

X > 2

Step-by-step explanation:

The bar graph shows the number of check-ins at a motel each day for one week. What percent of the check-ins occurred on Friday or Saturday? Round your answer to the nearest hundredth of a percent.

Answers

26/64 is correct

have a great day

190% of what number is 76
Plz hurry I really want to get this done

Answers

Answer:

190 is 76% of 250

Step-by-step explanation:

We have, 76% × x = 190

Multiplying both sides by 100 and dividing both sides by 76,

we have x = 190 × 100/76

x = 250

If you are using a calculator, simply enter 190×100÷76, which will give you the answer.

6^2x+2.6^3x=1 solve x=

Answers

Answer:

Step-by-step explanation:

if it is  [tex]6^{2}x+ 2.6^{3}[/tex]x = 1  

36x+17.576x = 1

53.576x = 1

x = 1 / 53.576

x = 1 /  [tex]\frac{6697}{125}[/tex]

x = [tex]\frac{125}{6697}[/tex]

or is it

6[tex]x^{2}[/tex] + 2.6[tex]x^{3}[/tex]=1      ?

Answer:

This is what I got.

Step-by-step explanation:

evaluate the expression when b= 2 and c = 12



Answers

9 is your answer.

6+3 is 9. You added these two because a=3.

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