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3 years ago

Reasoning : The equation below describes a proportional relationship between x and y. What is the

Mathematics

1 answer:

djyliett [7]3 years ago

3 0

Answer:

The constant of proportionality is 7.87.

Step-by-step explanation:

The relation between x and y is given by the equation :

y = 7.87x

y is directly proportional to x i.e.

y ∝ x

To remove the constant of proportionality, a constant 7.87 is inserted. Hence, the constant of proportionality is 7.87.

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In circle D with m \angle CDE= 76m∠CDE=76 and CD=13CD=13 units find area of sector CDE. Round to the nearest hundredth.

Ksju [112]

Answer:

112.03sq. units

Step-by-step explanation:

The area of a sector = theta/360 * πr²

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7 0

3 years ago

Point b has coordinates (-8,15) and lies on the circle whose equation is x^2+y^2=289. If an angles is drawn in standard position

Alenkinab [10]

Answer:

$\cos \theta=-\dfrac{8}{17}$

Step-by-step explanation:

Coordinates of Point b $=(-8,15)$

b lies on the circle whose equation is $x^2+y^2=289$

$x^2+y^2=17^2$

Comparing with the general form a circle with center at the origin: $x^2+y^2=r^2$

The radius of the circle =17 which is the length of the hypotenuse of the terminal ray through point b.

For an angle drawn in standard position through point b,

x=-8 which is negative

y=15 which is positive

Therefore, the angle is in Quadrant II.

$\cos \theta=\dfrac{Adjacent}{Hypotenuse} \\$Adjacent=-8\\Hypotenuse=17\\\cos \theta=\dfrac{-8}{17} \\\cos \theta=-\dfrac{8}{17}$

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3 years ago