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Feliz [49]
3 years ago
11

(-3,4), perp. To y=1/3x + 4

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
4 0
The answer to the question

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A tangent from point P to a circle of radius 4 cm is 10 cm long. Find: <br>a the distance of P from the centre of the circle <br
d1i1m1o1n [39]

Answer:

see explanation

Step-by-step explanation:

a

The tangent and the radius at the point of contact form a right angle

Using Pythagoras' identity on the right triangle formed.

Let x be the distance from the centre to P, then

x² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )

x = \sqrt{116} ≈ 10.77 cm (to 2 dec. places )

b

let the required angle be Θ, then

Using the sine or cosine ratio in the right triangle.

cosΘ = \frac{adjacent}{hypotenuse} = \frac{10}{\sqrt{116} }

Θ = cos^{-1} ( \frac{10}{\sqrt{116} } ) ≈ 21.8°

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3 years ago
Find the midpoint of the line segment (-5-7),(9,-8)
MAXImum [283]

Answer:

x = (-5+9)/2 = 2

y = (-7+ (-8)) /2 = (-15)/2 = -7.5

Step-by-step explanation:

6 0
3 years ago
A set of math tests is normally distributed
Masteriza [31]

Answer:

wat is the actual question for this??

Step-by-step explanation:

6 0
4 years ago
a submarine is moving at a 35 km/h. It can say underwater for another 4.5 hours. If it speeds a steady, how long will it take a
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1 hour 24 minutes

Step-by-step explanation:

49/35=1.4

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4 years ago
Which of the following statements is NOT true about the graph of a system of
Trava [24]

Answer:

The lines will have one positive y-intercept and one negative y-intercept is NOT true.

Step-by-step explanation:

If a graphed system has infinitely many solutions, that means that the two equations are the exact same. This means that they'll have the same slope, y-intercept, and will share all of the same points. Answer b is the only choice left.

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3 years ago
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