1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zalisa [80]
1 year ago
10

A water grist mill has a radius of 9ft and takes 8 seconds to make a complete rotation. a bucket starts at position (9,0). what

are the coordinates of the bucket's location after 6 seconds? round values to the nearest tenth.
Mathematics
2 answers:
gavmur [86]1 year ago
5 0

If the grist mill completes the rotation in 8 seconds. Then the final position of the bucket after 6 seconds is (0, 9).

<h3>What is coordinate geometry?</h3>

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A water grist mill has a radius of 9ft and takes 8 seconds to make a complete rotation. a bucket starts at position (9,0).

Then the coordinates of the bucket's location after 6 seconds will be

The angle of rotation after 6 seconds will be

\rightarrow \dfrac{6}{8} \times 360\\\\\rightarrow 270^o

Then we have

x = 9 cos 270°

x = 0

and y will be

y = 9 sin 270°

y = -9

But the angle is in a clockwise direction, then

y = 9

More about the coordinate geometry link is given below.

brainly.com/question/1601567

#SPJ1

nadezda [96]1 year ago
3 0

Answer:

(0, −9.0)

Step-by-step explanation:

6 seconds is 68 of a complete rotation.

Calculate the angle of rotation.

68(360∘)=270∘

The rule for this particular rotation is: (x,y)→(y,−x).

This rotation changes all x distances into y distances, and all y distances into x distances of the opposite sign.

The figure shows three points on a Cartesian plane. Point A is at nine, zero. Point B lies on the negative direction of y axis. Point O is at the origin. Angle A O B measures 270 degrees. Segment O B has a length of 9 units. The angle is highlighted in red.

Apply this rule to the point (9,0).

(9,0)→(0,−9).

Therefore, the coordinates of the bucket's location after 6 seconds are (0,−9.0).

You might be interested in
Find the Total surface area
Veseljchak [2.6K]

Answer:

You may not recognize this...but the base forms a "Pythagorean"  right triangle  with legs  of  6 and 8  cm

The area of a right triangle is  (1/2)  ( product of leg lengths)

So...the area of the base   = (1/2) (6 * 8 ) = (1/2) 48  = 24 cm^2

And the volume of the prism is just the   base area  x  height =   24  x  7  =   192 cm^2

Step-by-step explanation:

7 0
3 years ago
Help me with number 3 please
Harlamova29_29 [7]
The answer would be 22%
6 0
2 years ago
NEED SOME HELP HERE!!
Stolb23 [73]

Answer:

6 and 8

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

Given this,

(3x)² + (4x)² = 10²

9x² + 16x² = 100

25x² = 100

Divide both sides by 25

x² = 4

x = 2

Substitute this into 3x and 4x.

3x = 3 * 2 = 6

4x = 4 * 2 = 8

Thus, the answer is 6 and 8

5 0
2 years ago
drew makes $8 a week on allowance and pends $3. write an expression to show how much he has at the end of the week. Use parenthe
postnew [5]
X is how much he makes in a week. 7(8-3)=x
6 0
3 years ago
Veronica is choosing between two health clubs. After how many months will the total cost for each health club be the​ same? Yoga
sergiy2304 [10]

Answer:

14.02

Step-by-step explanation:

You'd have to write equations for the price per month for each club.

Let  x  equal the number of months of membership, and  y  equal the total cost.

Club A's is  y = 24x + 21.50 and Club B's is  y = 17.25 x + 41.00 Because we know that the prices,  y , would be equal, we can set the two equations equal to each other.

24x + 21.50 =17.25 x+ 41.00

subtract 21.50 both sides

. We can now solve for  x  by isolating the variable.

24x=17.25x+19.5

divide 17.25x

1.39x=19.5

divide 1.39 both sides

x=14.02

After five months, the total cost would be the same.

4 0
3 years ago
Other questions:
  • Combine the like terms to simplify the expression:
    7·1 answer
  • Holly rode her bike for 24 miles at 6 miles per hour. She finished her ride at 1:00 p.m.
    7·1 answer
  • Match the following items.
    15·2 answers
  • Solve for w.<br> -4(11 + 1) = –24<br> W=
    7·2 answers
  • The ratio 5/10 is in simplest form
    12·2 answers
  • One hundred employees of a company are asked how they get to work and whether they work full time or part time. The table below
    14·1 answer
  • I need help what is the sign of a. -b/b when a= 0 and b &lt;0
    10·1 answer
  • Geometry Question Need Help. I will give brainliest.
    15·1 answer
  • What are the 4 items needed to create a graph<br> and define them
    7·1 answer
  • Please help me and tell me step by step
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!