Mathematics, 30.01.2020 21:59 abdullahs4639

On the design of the new car the steering wheel has a diameter with endpoints at (4 9) and (12,3) what are the center and raduis of the wheel

Answers: 3

Show answers

Answers

Answer from: madrae02

The center of the circle is point (8 , 6)

Step-by-step explanation:

* At first lets revise how to find the mid-point between two points

- If (x1 , y1) and (x2 , y2) are the end point of a segment

- If (x , y) is the mid-point of this segment

- To find x add x1 and x2, then divide the answer by 2

∴ x = (x1 + x2)/2

- Similar to find y add y1 and y2, then divide the answer by 2

∴ y = (y1 + y2)/2

∴ The mid-point (x , y) = [(x1 + x2)/2 , (y1 + y2)/2]

* Now lets solve the problem

- The center of the circle is the mid-point of the diameter

- Consider the center of the circle is (x , y)

- (x , y) is the mid-point of the diameter of the circle with endpoints

(4 , 9) and (12 , 3)

- Let (4 , 9) is (x1 , y1) and (12 , 3) is (x2 , y2)

∵ x1 = 4

∵ x2 = 12

∵ x = (x1 + x2)/2

∴ x = (4 + 12)/2 = 16/2 = 8

* Similar

∵ y1 = 9

∵ y2 = 3

∵ y = (y1 + y2)/2

∴ y = (9 + 3)/2 = 12/2 = 6

∴ (x , y) = (8 , 6)

* The center of the circle is point (8 , 6)

Answer from: mladyrj5338

The center is (8,6) and radius is 5 units of the wheel

Step-by-step explanation:

On the design of the new car the steering wheel has a diameter with endpoints at (4 9) and (12,3)

End point of diameter is (4 9) and (12,3)

As we know mid point of diameter is center of circle.

Mid point formula:

$(x,y)\rightarrow (\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})$

Mid point of (4 9) and (12,3)

$Centre: (\dfrac{4+12}{2},\dfrac{9+3}{2}$

Center: (8,6)

Radius is distance between center and any one end point of diameter.

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

$R=\sqrt{(8-4)^2+(6-9)^2$

$R=\sqrt{16+9}=\sqrt{25}$

Radius = 5

Hence, The center is (8,6) and radius is 5 units of the wheel

Answer from: Quest

the answer is 844

step-by-step explanation:

it is 844 because if you add 836.50 + 7.5 you will get 844

Answer from: Quest

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

Triangle abc has the angle measures shown. ma= (2x) mb = (3x) mc = (4x) which statement is true abou

Another question on Mathematics

Mathematics, 21.06.2019 14:50

An assembly consists of two mechanical components. suppose that the probabilities that the first and second components meet specifications are 0.87 and 0.84. assume that the components are independent. determine the probability mass function of the number of components in the assembly that meet specifications. x

Answers: 1

Answer

Mathematics, 21.06.2019 15:30

Given the box plot, will the mean or the median provide a better description of the center? box plot with min at 10.5, q1 at 11.5, median at 12.5, q3 at 13.5, max at 15

Answers: 2

Answer

Mathematics, 21.06.2019 18:00

Sum is 17 and their difference is 3

Answers: 1

Answer

Mathematics, 21.06.2019 21:00

*let m∠cob = 50°30’, m∠aob = 70° and m∠aoc = 20°30’. could point c be in the interior of ∠aob? why?

Answers: 1

Answer

You know the right answer?

On the design of the new car the steering wheel has a diameter with endpoints at (4 9) and (12,3) wh...