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3 years ago

from a point P the length of the tangent to a circle is 24 cm and the radius is 7 cm find the distance of P from the centre

Mathematics

1 answer:

Mice21 [21]3 years ago

6 0

Answer:

22.96 cm

Step-by-step explanation:

Let the point of contact of the tangent with the circle be R.

Let the centre of the circle be O.

We are told that from Point P, the length of the tangent is 24 cm.

Thus, PR = 24 cm

Now, the radius will be perpendicular to the tangent at the point of contact with the circle.

Thus, ORP will form a right angle triangle where ∠R = 90°

Since radius = 7 cm, we can use pythagoras theorem to find OP which is the distance of P from the centre.

Thus;

OP = √(24² - 7²)

OP = √527

OP = 22.96 cm

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Refer to the following information:

Brilliant_brown [7]

Answer:

Step-by-step explanation:

Hello!

A: "Method A is used" and the probability of using it is P(A)= 0.75

B: "Method B is used" and its associated probability P(B)= 0.25

L: "The skill was learned"

"Learning the skill given that the method A is used" is a conditional probability, you can also say that "the skill was learned because method A was used", symbolically P(L/A)= 0.8

"Learning the skill given that method B is used" or "the skill was learned because method B was used", symbolically: P(L/B)= 0.95

1) Which of the following is the correct representation of the information that is provided to us?

Correct option: a.P(A)= .75, P(B) = .25, P(L |a) =. 80, P(L | B) = .95

2) What is the probability that a worker will learn the skill successfully?

You need to calculate the probability of L occuring, symbolically: P(L)

If you were to put all possible options in a contingency table:

A B Total

L P(A∩L) ; P(B∩L) ; P(A∩L) + P(B∩L) = P(L)

You can easily notice that the probability of learning the skill is the sum of the probabilities of "learning the skill and using method A" plus "learning the skill and using method B" These two intersections are unknown so first you apply the formula of conditional probability to find them out:

P(L/A)= P(A∩L)/P(A) ⇒ P(A∩L)= P(A)*P(L/A)= 0.75*0.80= 0.6

P(L/B)= P(B∩L)/P(B) ⇒ P(B∩L)= P(B)*P(L/B)= 0.25*0.95= 0.2375

P(L)= P(A∩L) + P(B∩L)= 0.6 + 0.2375= 0.8375

Correct option: e.P(L) = .75 * .80 + .25 * .95 = .8375

I hope you have a SUPER day!

5 0

3 years ago

6- the square root of 25 divided by 4

nataly862011 [7]

Answer:

$0.25$

Step-by-step explanation:

We are given the following verbal expression and we are to first translate it and then evaluate it:

'6- the square root of 25 divided by 4'

$\frac { 6 - \sqrt { 25 } } { 4 }$

Taking the square root first to get:

$\frac { 6 - 5 } { 4 }$

$\frac { 1 } { 4 }$

$0.25$

4 0

3 years ago

What is the equation of the lines that passes through the points (-2, -3) and (4, -5)?

antoniya [11.8K]

Since all the options are in the slope intercept form, we find the equation using the formula,

$y = mx + c$
We can find m, the slope using the formula,

$m = \frac{ change \: in \: y }{change \: in \: x}$
$m = \frac{ - 5 - - 3}{4 - - 2}$
$m = \frac{ - 2}{6} = - \frac{1}{3}$

On substitution,

$y = - \frac{ 1}{3} x + c$

We use any of the points, say (-2,-3) to determine the value of c.

$- 3 = - \frac{1}{3} ( - 2) + c$
$c = - \frac{11}{3}$

The equation is therefore,

$y = - \frac{1}{3} x - \frac{11}{3}$

The correct answer is D.

6 0

3 years ago

Bret’s uncle owns a square of land that is 10 miles long on each side. is that the same as 10 mi2?

Dafna1 [17]

No it's not the same.

First of all, miles is used for length while mi2 is used for Area.

Second, if the length of each side is 10 miles , the total area would be 10 x 10 = 100 mi2

hope this helps

4 0

3 years ago

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julia-pushkina [17]

Answer:

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Step-by-step explanation:

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