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Ira Lisetskai [31]
3 years ago
12

if an external point of a circle is at a distance equal to the diameter of the circle from the center of the circle, the length

of the tangent drawn from the external point is?
Mathematics
1 answer:
jeka57 [31]3 years ago
7 0

Let the radius of the circle be r. Then the line from the external point through the center of the circle which extends to the far point on the circle has length 3r .By the tangent - secant theorem

t^2 = 3r * r = 3r^2 ( where t is the length of the tangent).

So t = √(3r^2) = √3r answer.

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. The volume of a box is 405 cubic units. The length is x units, the width 4 units greater than the length, and the height is 9
lukranit [14]

Answer:

length = 5

width = 9

Step-by-step explanation:

V = lwh

let 'x' = length

let '4+x' = width

9 = height

405 = 9x(4+x)

405 = 36x + 9x²

this is a quadratic equation:  9x² + 36x - 405 = 0

factor out a 9 to get:

9(x² + 4x - 45) = 0

9(x-5)(x+9) = 0

one root is 5 and the other is -9

since distance cannot be negative we use 5 as the length and 9 is the width

3 0
2 years ago
What is the variance of the following data? If necessary, round your answer to two decimal places. 17, 13, 13, 22, 11, 20
Bond [772]
Variance is the standard deviation squared but we're not going to use that now. Let's first calculate the mean:

mean = (17+13+13+22+11+20)/6 = 16.

Now for each value, let's see how far it is from this mean. We'll square these distances and average them. That's our variance.

17 distance 1 squared = 1
13 distance 3 squared = 9
13 distance 3 squared = 9
22 distance 6 squared = 36
11 distance 5 squared = 25
20 distance 4 squared = 16

Now average these outcomes:

variance = (1+9+9+36+25+16)/6 = 16.

So the variance by coincidence is the same as the mean.

Answer C is your answer.
7 0
3 years ago
Write as a percent. (if necessary, round to the nearest tenth of a percent.)13/30
labwork [276]
The correct answers is 43.33%
6 0
3 years ago
Using the image prove its shape.
Vladimir79 [104]
The shape is a parallelogram because the length of the sides based on the coordinates
5 0
3 years ago
Subject Algebra 1
Mashutka [201]

Answer:

10x^{2}-34

Step-by-step explanation:

Because we are told equivalent expressions for y and z we can plug those in to 2(y+z).

2((3x^{2}+x^{2}-5)+(x^{2}-12))

Then simplify by combining like terms of the expressions. Values ending in x^2 can be combined with each other.

2(5x^{2}-17)

Now we can distribute the 2 by multiplying each value in the parentheses by 2.

10x^{2}-34

6 0
3 years ago
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