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noname [10]
3 years ago
5

The constant of proportionality is

Mathematics
1 answer:
ladessa [460]3 years ago
5 0
The constant of proportionality is the continuous ratio betwwen two variables.
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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°

7 0
3 years ago
Help me on problem 15 please and asap
Dovator [93]
What is it , what is your question


6 0
3 years ago
Read 2 more answers
MODELING A WATER WHEEL
kvasek [131]

Answer:

The true statements include

- This is the pattern for a sine function.

- The amplitude is 1

- The vertical shift is 0

- An equation for this graph is y = sin(x)

The only untrue statement is

- The graph follows the zero-max-zero-min-zero pattern.

Step-by-step explanation:

Observing the graph of the function presented, one can examine the options and pick the true options from them all.

Statement 1

The graph follows the zero-max-zero-min-zero pattern.

From the graph, it is obvious that this is a false claim as the graph doesn't follow a zero-max-zero-min-zero pattern, rather, its values range from 0 to 1 to 0 to -1, then it goes back to zero to repeat the cycle all over.

Statement 2

This is the pattern for a sine function.

This is true. A sine wave follows the exact pattern that this plot follows; its values range from 0 to 1 to 0 to -1, then it goes back to zero to repeat the cycle all over.

Statement 3

The amplitude is 1

This is true. The amplitude of a motion of a body refers to the maximum displacement of that body from the equilibrium position. From this plot, it is evident that that amplitude is 1 for the vertical motion of this barnacle.

Statement 4

The vertical shift is 0

The vertical shift of the plot refers to how far the equilibrium position of the motion is from the origin line (x-axis line). And for this motion and plot, the equilibrium position for the vertical motion, is placed on the x-axis, indicating a vertical shift of 0.

Statement 5

An equation for this graph is y = sin(x)

This is true. As described under statement 2 and as evident from the corresponding values of x and y from the plot; with x in radians, the values of y can be obtained by taking the sin of the value of x, indicating that this plot is a plot of y = sin x

Hope this Helps!!!

7 0
3 years ago
Read 2 more answers
Find an equation of the line that passes through the point (4, 3) and is perpendicular to the line 2x + 9y − 6 = 0.
vesna_86 [32]
Perpendicular has the reciprocal slope and u have to put the point given into point slope.

y-3=9/2(x-4)

(The slope of the original equation was -2/9)
3 0
3 years ago
Plz urgent <br>inequalities ​
solmaris [256]

Answer:

X>-4

Y>-18

X>-7

I hope this helps

3 0
2 years ago
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