All categories

3 years ago

A curve in polar coordinates is given by: r=9+3cosθ. Point P is at θ=21π/18 .?

Mathematics

1 answer:

ikadub [295]3 years ago

6 0

Answer:

Step-by-step explanation:

Given that a curve in polar coordinates is given by:

r=9+3cosθ

a) At point P, we have

$θ=\frac{21\pi}{18}$

Substitute to get

$r=9+cos \frac{21\pi}{18}\\=9.3932$

b) Cartesian coordinate is

$x= rcos \theta=3.6934\\y =r sin \tjeta =8.6365$

c) At the origin r =0

when r =0

we have

$9+3cos\theta=0\\cos\theta =-3$

Since cos cannot take values as -3 it doe snot pass through origin.

You might be interested in

What is 2/3 divided by 5? Show your work

Zolol [24]

Answer:

2/15

Step-by-step explanation:

2/3 / 5/1 =

2/3 x 1/5 = 2/15

4 0

2 years ago

Read 2 more answers

Jane is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a number

sleet_krkn [62]

Answer:

The expected value of playing the game is $0.75.

Step-by-step explanation:

The expected value of a random variable is the weighted average of the random variable.

The formula to compute the expected value of a random variable X is:

$E(X)=\sum x\cdot P(X=x)$

The random variable X in this case can be defined as the amount won in playing the game.

The probability distribution of X is as follows:

Number on spinner: 1 2 3 4 5 6

Amount earned (X): $1 $4 $7 $10 -$8.75 -$8.75

Probability: 1/6 1/6 1/6 1/6 1/6 1/6

Compute the expected value of X as follows:

$E(X)=\sum x\cdot P(X=x)$

$=(1\times \frac{1}{6})+(4\times \frac{1}{6})+(7\times \frac{1}{6})+(10\times \frac{1}{6})+(-8.75\times \frac{1}{6})+(-8.75\times \frac{1}{6})$

$=\frac{1}{6}+\frac{4}{6}+\frac{7}{6}+\frac{10}{6}-\frac{8.75}{6}-\frac{8.75}{6}$

$=\frac{1+4+7+10-8.75-8.75}{6}$

$=0.75$

Thus, the expected value of playing the game is $0.75.

5 0

3 years ago

Where is the outlier in this graph? A.) at 1 B.) at 6 C.) at 5 D.) at 11

geniusboy [140]

Answer:

d. 11

Step-by-step explanation:

The outlier is D. 11 because it is the furthest amount from any other set.

7 0

3 years ago

The bike store marks up the wholesale (lower price) cost of all of the bikes they sell by 30%.

mario62 [17]

Answer:

$100

Step-by-step explanation:

125 dollar bike will cost you 100 dollars if the sale for 20%.

125 x 0.20 = 25

25-125=100

Hope this helped!

8 0

2 years ago

If the equation 3 + (-3) + 0 + (-6) + 2 + 1 = -3 is graphed on a number line using arrows, how many arrows will point to the lef

Novay_Z [31]

Answer:

the answer is a

Step-by-step explanation:

3 0

3 years ago