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3 years ago

10

KHAN ACADEMY! what is the constant of proportionality in the equation: y=2x?

1 answer:

nikitadnepr [17]3 years ago

8 0

Answer:

2

Step-by-step explanation:

Compare y = 2x to y = kx, where y = kx is a proportional relationship.

We see that the constant of proportionality, k, is 2.

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Write in pence the value of the 9 in 8.90

nekit [7.7K]

The 9 is in the tenths place so it is basically 90 pennies

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4 years ago

A point on the terminal side of an angle theta is given. Find the exact value of each of the six trigonometric functions of thet

statuscvo [17]

Answer:

Step-by-step explanation:

Plot that point in the x/y coordinate plane to see that it sits in the third quadrant. From the point, draw a line to the origin, constructing a right triangle. The side adjacent to the angle is -2, the side across from the angle is -5, so we need to find the length of the hypotenuse using Pythagorean's Theorem:

$c^2=(-5)^2+(-2)^2$ and

$c^2=25+4$ so

$c=\sqrt{29}$

That means that

$sin\theta=-\frac{5}{\sqrt{29} }=-\frac{5\sqrt{29} }{29}$ and

$csc\theta=-\frac{\sqrt{29} }{5}$

That means that

$cos\theta=-\frac{2}{\sqrt{29} }=-\frac{2\sqrt{29} }{29}$ and

$sec\theta=-\frac{\sqrt{29} }{2}$

It also means that

$tan\theta=\frac{5}{2}$ and

$cot\theta=\frac{2}{5}$

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4 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

son4ous [18]

Answer:

Step-by-step explanation:

Length=18

Width/Breadth =10

Height=2

The formula for a diagonal face of a cuboid is=√(l²+ b²)

Face diagonal=√(18²+10²)

= 20.59 to 2.d.p

The formula for the body diagonal of a cuboid is=√(l² + b² + h²)

Body diagonal=√(18² + 10² + 2²)

=20.69 to 2.d.p

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2 years ago

There are 9 athletes on a tennis team. At a photoshoot, 7 of the athletes need to be chosen and arranged in the front row. In ho

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This can be done 63 different ways

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3 years ago

Read 2 more answers

How do I find the percentage of two column data table?

Arte-miy333 [17]

Answer:

a) 47.7%

b) 87.2%

Step-by-step explanation:

Find the ratio of interest, and convert it to a percentage.

<h3>a) </h3>

(messy right-handed writers)/(right-handed writers)

= 31/65 = 31/65 × 100% ≈ 47.7%

__

<h3>b) </h3>

(neat right-handed writers)/(neat writers)

= 34/39 = 34/39 × 100% ≈ 87.2%

8 0

3 years ago