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True [87]
3 years ago
11

How far is a chord of length 8cm from the centre of a circle of radius 5cm

Mathematics
1 answer:
alex41 [277]3 years ago
4 0
I think the answer is 3cm I’m not 100% sure
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Let us have four distinct collinear points $a,$ $b,$ $c,$ and $d$ on the cartesian plane. the point $c$ is such that $\dfrac{ab}
Deffense [45]

Start with a line segment connecting two points, A and B. \dfrac{DA}{BA}=3 means DA is 3 times longer than BA. Clearly, D cannot fall between A and B because that would mean DA is shorter than BA. So there are two possible locations where D can be placed on the line relative to A and B.

But with \dfrac{DB}{BA}=2, or the fact that DB is 2 times longer than BA, we can rule out one of these positions; referring to the attachment, if we place D to the left of A, then DB would be 4 times longer than BA.

Finally, \dfrac{AB}{CB}=\dfrac12, so that CB is 2 times longer than AB. Again we have two possible locations for point C (it cannot fall between A and B), but one of them forces C to occupy the same point as D. However, A, B, C, D are distinct, so C must fall to the left of A.

Now let d be the length of AB. Then the length of CD in terms of d is 4d. We have the coordinates of C and D, and the distance between them is \sqrt{(4-0)^2+(0-4)^2}=4\sqrt2. So

4d=4\sqrt2\implies d=\sqrt2

The slope of the line through C and D is

\dfrac{0-4}{4-0}=-1

and so the equation of the line through these points is

y-4=-(x-0)\implies x+y=4

So the coordinates of A are (x,y)=(x,4-x). The distance between C and A is d=\sqrt2, so we have

\sqrt{(x-0)^2+(4-x-4)^2}=\sqrt{2x^2}=|x|\sqrt2=\sqrt2\implies|x|=1

Since A falls to the right of C (in the x,y plane, not just in the sketch), we know to take the positive value x=1. Then the y coordinate is y=4-1=3.

All this to say that A is the point (1, 3), so

2x+y=2+3=5

5 0
3 years ago
The Hunters drove to visit some friends. The table below shows how long it 1 point
Leni [432]

Answer:

60 miles per hour

Step-by-step explanation:

For each point just divide the miles by the hour

120/2 = 60 mph

180/3 = 60 mph

240/4 = 60 mph

7 0
3 years ago
Please help????!!!!!
rjkz [21]

Answer:

y =8

Step-by-step explanation:

y^{2} = 16*4

4 0
3 years ago
Find the volume of the figure below.
kiruha [24]

Hello!

To find the volume of a cylinder, use the formula: V = πr²h.

In the formula, r is the radius, and h is height of the figure.

In the given figure, the height of the cylinder is 8 feet and the radius is 5 feet. With those values, we can find the volume of the given figure.

V = π(5)²(8)

V = π(25)(8)

V = 200π, 628.32 (multiplied by π), 628 (multiplied by 3.14)

Therefore, the volume of this cylinder is 628.32 feet cubed.

8 0
3 years ago
7.
IRINA_888 [86]

Answer: C) 14

Step-by-step explanation: 65 - 9 = 56. You would then do 56/4 and you get 14.

Hope this helped

5 0
3 years ago
Read 2 more answers
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