All categories

3 years ago

Which point on the unit circle corresponds to −π ?

2 answers:

6 0

On the unit circle:
( 1, 0 ) corresponds to 0.
( 0, 1 ) corresponds to π/2
( -1, 0 ) corresponds to π
( 0, - 1 ) corresponds to 3π/2
- π = π
Answer:
D ) ( - 1 , 0 )

ExtremeBDS [4]3 years ago

5 0

Answer:

$(-1,0)$

Step-by-step explanation:

we know that

In the unit circle

The point $(1,0)$ correspond to $0$

The point $(0,1)$ correspond to $\pi/2$ or $-3\pi/2$

The point $(-1,0)$ correspond to $\pi$ or $-\pi$

The point $(0,-1)$ correspond to $3\pi/2$ or $-\pi/2$

therefore

$-\pi$ -----> correspond to the point $(-1,0)$

You might be interested in

A high school took a survey to find out the number of activities students participate in during the high school year. Complete t

N76 [4]

144+216=360
720-360=360

choice B is the correct answer

4 0

3 years ago

Your friend approaches with three, fair 5-sided dice (labeled 1 to 5). You get to roll them and your friend gives you money base

k0ka [10]

Answer:

$1.68 per match

Average Fee = $1.69

Step-by-step explanation:

Given:

- Earnings for all 3 different number = $ 1

- Earnings for 2 same number = $ 2

- Earnings for 3 same number = $ 6

- Five sided fair dice = 3

Find:

- Expected pay-out

- What fee charged per match for 10 cent income

- Reason for change to new match

Solution:

- Construct a probability distribution table, where X: payout per match

X $1 $2 $6

P(X) 0.48 0.48 0.04

Case X = $1 : _ _ _ All three different numbers

No.outcomes 5 * 4 * 3 = 60

Total outcome 5 * 5 * 5 = 125

Hence, P(X= $ 1) = 60 / 125 = 0.48

Case X = $2 : S _ S two numbers are same

No.outcomes = 5 * 4 * 1 = 20 per combination

Total combinations = S _ S + S S _ + _ S S = 3

Total outcome = 3 * 20 = 60

Hence, P(X= $ 2) = 60 / 125 = 0.48

Case X = $6 : S S S two numbers are same

No.outcomes = 5 * 1 * 1 = 5 per combination

Total combinations = 1

Total outcome = 5 * 1 = 5

Hence, P(X= $ 2) = 5 / 125 = 0.04

- Expected Payout E(X):

E(X) = 1*0.48 + 2*0.48 + 6*0.04 = $1.68 per match

- To earn $0.01 on average the fee of match is:

Fee_avg = E(X) + $0.01 = $1.69

- With this new plan your friend would loose less. The expected payout of a match is $1.68 for which the probability X < $ 2 is around = 0.48. However, to gain a $2 or higher P ( X > 2 ) = 0.48 + 0.04 = 0.52. Hence, the week-payout for X > 2 is greater than 7*2 = $14. So probability of week's payout to be $14 is higher than to be $ 11.76 as per average pay per day.

7 0

3 years ago

Write inequalities to describe the solid left (x < 0 is left) hemisphere of a sphere of radius 4 centered at the origin

Serggg [28]

The equation of the sphere centered at 0, and radius 4 is:

$\displaystyle{ x^2+y^2+z^2=4^2$ ,

note that this equation describes exactly the points of the surface of the square. That is, this is an EMPTY sphere.

The solid sphere, that is the points on the surface and all points in the inside, are given by :

$\displaystyle{ x^2+y^2+z^2 \leq 4^2$

since we want the left part of the solid part, picture 2, we add the condition x<0,

thus "the solid left (x < 0 is left) hemisphere of a sphere of radius 4 centered at the origin" is given by the system of inequalities:

$i) \displaystyle{ x^2+y^2+z^2 \leq 4^2$
$ii)x\ \textless \ 0$

8 0

3 years ago

Read 2 more answers

Find the slope and y- intercept of the line. y = 6x-9

olya-2409 [2.1K]

Answer:

the slope is 6.

the y-intercept is -9

3 0

3 years ago

Larry wants to buy some carpeting for his living room the length of the room is 2 times width and the total area of the room is

cluponka [151]

Draw a diagram! Lets say the width is x, then the length must be 2x.

Area = length x width
2x x x = 8sq meters
2x^2 = 8
x^2 =4
x = √4
x = 2

we found the width the length is two times the width, making it 4 meters.

7 0

3 years ago