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ratelena [41]
2 years ago
6

Please answer all correctly !!

Mathematics
1 answer:
nexus9112 [7]2 years ago
3 0

Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Problem 1</u>

To convert from polar to Cartesian coordinates, recall that (x,y)=(r\:cos\theta,r\:sin\theta), thus, (x,y)=(6\:cos\frac{5\pi}{6},6sin\frac{5\pi}{6})=(6(-\frac{\sqrt{3}}{2}),6(\frac{1}{2}))=(-3\sqrt{3},3)

Therefore, C is the correct answer

<u>Problem 2</u>

Convert from polar to Cartesian coordinates:

(x,y)=(-5\:cos\frac{2\pi}{3},-5\:sin\frac{2\pi}{3})=(-5(-\frac{1}{2}),-5(\frac{\sqrt{3}}{2}))=(\frac{5}{2},\frac{-5\sqrt{3}}{2})

Therefore, U is the correct answer

<u>Problem 3</u>

Since r=\sqrt{x^2+y^2}, then r^2=x^2+y^2. Don't also forget to use the substitution x=r\:cos\theta:

x^2+y^2-7x=0\\\\r^2-7rcos\theta=0\\\\r(r-7cos\theta)=0\\\\r-7cos\theta=0\\\\r=7cos\theta

Therefore, B is the correct answer

<u>Problem 4</u>

<u />r=(tan\theta)(sec\theta)\\\\r=(\frac{sin\theta}{cos\theta})(\frac{1}{cos\theta})\\ \\\frac{r^2}{r}=(\frac{rsin\theta}{rcos\theta})(\frac{r}{rcos\theta})\\ \\\frac{x^2+y^2}{\sqrt{x^2+y^2}}=(\frac{y}{x})(\frac{\sqrt{x^2+y^2}}{x})\\ \\x^2+y^2=\frac{y(x^2+y^2)}{x^2}\\ \\1=\frac{y}{x^2}\\\\x^2=y

Therefore, A is the correct answer

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Vertical angle is when opposite angles meet in the middle of two intersecting lines (share the same vertex). They are equal to each other too.

Hope this helps! :)

7 0
3 years ago
Read 2 more answers
Sarah began the week with $2.60 in her lunch account. She deposited $20 on Monday, and then spent $4.75 each day that week for l
GuDViN [60]

Answer:

The balance in her lunch account at the end of the day on Friday is -$1.15.

Step-by-step explanation:

The balance at the end of the week will be the result of adding up the initial balance with the amount deposited on Monday minus the total amount spent that week.

Initial balance=$2.60

Amount deposited on Monday=$20

Total amount spent that week=$4.75*5=$23.75

Balance=$2.60+$20-$23.75

Balance=$22.60-$23.75

Balance=-$1.15

According to this, the answer is that the balance in her lunch account at the end of the day on Friday is -$1.15.

8 0
3 years ago
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Answer:

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Step-by-step explanation:

5 0
3 years ago
Help please!!!!!!!!!!!!!
KatRina [158]
Hello!

For this you can plug in the x values in the choices and see if you get the y value

y = -4^{3}  - (-4)

-4^3 is -64

when you subtract a negative you are just adding

-64 + 4 = 60

Then you do the second one

y =  -3^{3}  - (-3)

-3^3 is -27

-27 + 3 is -24

Then the third one

y =  -2^{3}  - (-2)

-2^3 is -8

-8 + 2 is -6

Then the last one

y =  -1^{3}  - (-1)

-1^3 is -1

-1 + 1 = 0

Since we did not get -2 the answer is D

Hope this Helps!
7 0
3 years ago
Principal- $900, interest rate ordinary- 4%, term (days)- 45. find the interest
kirill [66]

Answer:

hope this helps to find the interest

Step-by-step explanation:

450

4 0
3 years ago
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