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3 years ago

Find the rectangular coordinates of the point with the polar coordinates ordered pair negative 7 comma 5 pi divided by 3.

1 answer:

6 0

$\bf \begin{array}{clclll}
(-7&,&\frac{5\pi }{3})\\
\uparrow &&\uparrow \\
r&&\theta
\end{array}\qquad 
\begin{array}{clclll}
(x&,&y)\\
\downarrow &&\downarrow \\
r\cdot cos(\theta)&&r\cdot sin(\theta)
\end{array}$

so.. to get the x,y coordinates, or rectangular ones, get the cosine and sine of that angle, and multiply it times the "r"adius

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In his free time, Gary spends 7 hours per week on the Internet and 8 hours per week playing video games. If Gary has five hours

77julia77 [94]

Answer:

D. 30%?

I'm not 100% sure but I think its D. Sorry if it's wrong.

3 0

3 years ago

Consider the initial value function y given by

Nuetrik [128]

Answer:

y(s) = $\frac{5s-53}{s^{2} - 10s + 26}$

we will compare the denominator to the form $(s-a)^{2} +\beta ^{2}$

$s^{2} -10s+26 = (s-a)^{2} +\beta ^{2} = s^{2} -2as +a^{2} +\beta ^{2}$

comparing coefficients of terms in s

$s^{2} :$ 1

s: -2a = -10

a = -2/-10

a = 1/5

constant: $a^{2}+\beta ^{2} = 26$

$(\frac{1}{5} )^{2} + \beta ^{2} = 26\\\\\beta^{2} = 26 - \frac{1}{10} \\\\\beta =\sqrt{26 - \frac{1}{10}} =5.09$

hence the first answers are:

a = 1/5 = 0.2

β = 5.09

Given that y(s) = $A(s-a)+B((s-a)^{2} +\beta ^{2} )$

we insert the values of a and β

$\\5s-53$ = $A(s-0.2)+B((s-0.2)^{2} + 5.09^{2} )$

to obtain the constants A and B we equate the numerators and we substituting s = 0.2 on both side to eliminate A

5(0.2)-53 = A(0.2-0.2) + B((0.2-0.2)²+5.09²)

-52 = B(26)

B = -52/26 = -2

to get A lets substitute s=0.4

5(0.4)-53 = A(0.4-0.2) + (-2)((0.4 - 0.2)²+5.09²)

-51 = 0.2A - 52.08

0.2A = -51 + 52.08

A = -1.08/0.2 = 5.4

the constants are

a = 0.2

β = 5.09

A = 5.4

B = -2

Step-by-step explanation:

since the denominator has a complex root we compare with the standard form $s^{2} -10s+26 = (s-a)^{2} +\beta ^{2} = s^{2} -2as +a^{2} +\beta ^{2}$
Expand and compare coefficients to obtain the values of a and β as shown above
substitute the values gotten into the function
Now assume any value for 's' but the assumption should be guided to eliminate an unknown, just as we've use s=0.2 above to eliminate A
after obtaining the first constant, substitute the value back into the function and obtain the second just as we've shown clearly above

Thanks...

3 0

3 years ago

I need help please

devlian [24]

I am pretty sure its B (minimum at -1, -4) because that would be were the first point would be at. The Graphing of this equation would be a "upside down u" shape.

4 0

3 years ago

12. For angle A it is known that sin(A)>0 and tan (A) <0. If A is drawn in standard position, in which quadrant

Dafna11 [192]

Answer:

Quadrant 2

Step-by-step explanation:

Sin = opp/hyp and opp is positive in quadrants 1 & 2.

Tan = opp/adj - we need one of these values to be positive and the other negative. adj is negative in quadrants 2 & 3.

Quadrant 2 is found in both of the scenarios that we need to occur.

8 0

3 years ago

Find irrational number between 5, 25 and 5, 26

iragen [17]

Answer:

The answer is 2.5135145

Step-by-step explanation:

The irrational number between 5,25 and 5,26
2.5135145...
The number is non-terminating and non-recurring. Hence, it is an irrational number.
A real number that cannot be expressed as a simple fraction is called an irrational number.
It is impossible to express in terms of a ratio.
If N is irrational, it is not equal to p/q, where p and q are integers and q is not equal to 0.
Example: √2, √3, √5, √11, √21, π(Pi) are all irrational.

5 0

2 years ago