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2 years ago

Solve for x can't remember how to do this for a circle and triangle through it.

Mathematics

2 answers:

Gala2k [10]2 years ago

6 0

Answer:

x = 2

Step-by-step explanation:

For secants that intersect at an external point, the product of the external length and total length is a constant.

... 3·(3 +5) = 4·(4 +x) . . . . . write the two products, and set them equal

... 24 = 16 +4x . . . . . . . . . . eliminate parentheses

... 8 = 4x . . . . . . . . . . . . . . .subtract 16

... 2 = x . . . . . . . . . . . . . . . . divide by 4

vivado [14]2 years ago

5 0

Answer:

$x=2$

Step-by-step explanation:

(Refer the attachment to find ABCD and O points)

When two secant lines AD and CB intersects at a point outside the circle "O"

then,

OA*OD=OB*OC

Now we can substitute the values and find x.

$3*8=4*(4+x)$

$24=16+4x$

$8=4x$

$x=2$

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In Example 3, the track has 6 lanes that are each 1 meter in width. a. What is the outer perimeter of the track? Round your answ

son4ous [18]

Answer:

Incomplete question, check attachment for the necessary diagram

Step-by-step explanation:

Note in the attachment,

We have two identical straight line of lenght

L1 = L2 = 84.39m

We also have two identical semicircle or radius 36.5m to the first track lane

But this is not the radius of the circle, the radius of the circle will now be 36.5 plus the 6 track lane and we are told that one track lane is 1m, then, the track lane is 6m

So, radius = 36.5+6

r = 42.5m

Then, we need to calculate the perimeter of the semicircle using the formula of perimeter of a circle and dividing by2

P = 2πr/2

P =πr

P = 22/7 × 42.5

P = 133.57 m

Then, the arc 1 is equal to arc 2 which is equal to 133.57 m

A1 = A2 = 133.57 m

Now we have all the dimensions,

Then, the perimeter can be calculated by adding the length of the sides

The perimeter of the field = Lenght of the two straight lines plus the length of the two semicircle arc

P = L1 + L2 + A1 + A2

P = 84.39 + 84.39 + 133.57 + 133.57

P =435.923 m

So, to the nearest meter

P ≈ 436m

The perimeter of the track is 436m

5 0

3 years ago

Help !!! please show work so i know how to do it :)))

satela [25.4K]

Answer:

Step-by-step explanation:

the red lines mean the two sides are equal

so its an isosceles triangle meaning the two angles other than the 40° one are equal

the inner angles of a triangle must add up to 180

so 180-40 = 2x

140 = 2x

x = 140/2 = 70

6 0

2 years ago

Read 2 more answers

If the slope of a line is -1/4,<br>find x when (x,2) and (1/2,6)

Alecsey [184]

Use slope formula:
m = (y2-y1) / (x2-x1)
-1/4 = 6-2 / 1/2 - x
-1/4 = 4 / 1/2 - x
-1(1/2 - x) = 4(4)
-1/2 + x = 16

x = 16 1/2 or 33/2

7 0

2 years ago

What is the geometric mean between 9/16 and 25/36

sergiy2304 [10]

Answer:

5/8

Step-by-step explanation:

Geometric mean is found by multiplying the n number of values and then taking the n-root.

To do this with these numbers, sqrt((9/16)*(25/36)) = (3/4)(5/6) = (1/4)(5/2)= 5/8

I hope this helps! :)

6 0

2 years ago

The volume of a sphere is 500 3 πcm3. What is the radius? Sphere V = 4 3 πr3 1. Substitute value into formula: 500 3 π = 4 3 πr

Kisachek [45]

Answer:

Radius of the sphere is 5m.

Step-by-step explanation:

We have given the volume of sphere $\frac{500}{3}\cdot {\pi}m^3$

we have to find the radius of the sphere

$\text{volume of sphere is }=\frac{4}{3}\cdot {\pi}\cdot r^3$

On substituting the given value of volume of sphere we get

$\frac{500}{3}\cdot {\pi}=\frac{4}{3}\cdot {\pi}\cdot r^3$

After simplification we get:

$\Rightarrow 4\cdot r^3=500$

$\Rightarrow r^3=125$

$\Rightarrow r=5$

Hence, the radius of sphere is 5m

7 0

2 years ago

Read 2 more answers