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2 years ago

Point X outside a circle is 34 cm from the center of the circle.

Mathematics

1 answer:

scoundrel [369]2 years ago

7 0

Answer:

Right option is c 16 cm

Step-by-step explanation:

From the question,

The radius of the circle, the point drawn from the center of the circle to piont X and the length of the tangent drawn from point X to the point of tangency all form a right angle triangle.

Using pythagoras theorem,

a² = b²+c²...................... Equation 1

Where b = the length of the tagent, a = length of the point drawn outside the circle from the center, b = radius of the circle.

Given: a = 34 cm, b = 30 cm.

Substitute into equation 1

34² = 30²+c²

c² = 34²-30²

c² = 1156-900

c² = √256

c² = 16 cm.

Hence the right option is c 16 cm

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Answer:

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Step-by-step explanation:

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2 years ago

How do I complete this question on arc length?

tresset_1 [31]

Answer:

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Step-by-step explanation:

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⇒ $C=3\pi$ m

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2 years ago

Read 2 more answers

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2 years ago

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Answer:

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2. The independent variable is b) age

Please see attached table

Step-by-step explanation:

The least squares regression formula is given as follows;

$\dfrac{\sum_{i = 1}^{n}(x_{i} - \bar{x})\times \left (y_{i} - \bar{y} \right ) }{\sum_{i = 1}^{n}(x_{i} - \bar{x})^{2}}$

We have;

$\bar x$ = 24

$\bar y$ = 4

$\Sigma (x_i - \bar x) (y_i - \bar y)$ = -79

$\Sigma (x_i - \bar x)^2$ = 778

$\therefore \hat \beta =\dfrac{\sum_{i = 1}^{n}(x_{i} - \bar{x})\times \left (y_{i} - \bar{y} \right ) }{\sum_{i = 1}^{n}(x_{i} - \bar{x})^{2}} = \frac{-79}{778} = -0.1015$