Select the correct answer from each drop-down menu.
x^2+y^2=25 is written in polar form as__
A) r=5
B) r=25
C) a=5
D) a=25

θ = 225º is written in rectangular form as__
A) y=1
B) y=-1
C) y=x
D) y=-x

Answers

Answer 1

Answer:

a) Option A: r = 5

b) Option C: y = x

Step-by-step explanation:

a) First, we know that a circle centered at the origin of radius R is written as:

x^2 + y^2 = R^2

Then x^2+y^2=25 can be rewritten as:

x^2 + y^2 = 5^2

This is a circle of radius 5.

Then in polar form, this can be written as:

r = 5

b) Now we have the angle 225°

For rectangular coordinates (x, y)

The correspondent value of θ is given by:

Tan(θ) = y/x

In this case, we have θ = 225°

Then:

Tan(225°) = 1 = y/x

This can be rewritten as x = y

Then the correct option is C) y = x


Related Questions

jocelyn has a sample space s= { 2,2,4,6,8,8,8,10,10,12,14,16,16,16,16,18,18,20} she creates the following subsets a= { 2,6,8,8,10,18} b = { 2,8,10,14,18,20} use the information above to find the complement of the union of a and b

Answers

Answer:

{aUb}' = {4, 12, 16}

Step-by-step explanation:

GIven S= { 2,2,4,6,8,8,8,10,10,12,14,16,16,16,16,18,18,20}

a= { 2,6,8,8,10,18}

b = { 2,8,10,14,18,20}

Required

(aUb)'

aUb = {2, 6, 8, 10, 14, 18, 20}

{aUb}' are values of the set S that are not in aUb. The required values are;

{aUb}' = {4, 12, 16}

at which value of x does the function have a jump discontinuity 50 Points !!!! dang I don't need answer file​

Answers

Answer:

b

Step-by-step explanation:

there's 2 open point lying on x equals 0

8 oranges are divided equally into 2 baskets what is 1/2 of 8 oranges?

Answers

I’m pretty sure the answer is 4

I hope I’m right

Hope this helps :D

Bella makes fabric shopping bags for her retail store She currently has 54 yards of fabric. If she uses 1 12 yards of fabric to make one shopping bag, how many bags can she make?

Answers

Answer: the answer is 49.84 bags but depending on how your teacher wants you to round, it’s either 49 or 50 bags

Step-by-step explanation: 1/12=0.8333333333

54/1.833333333=49.846153

NEED HELP ASAP!
USE SUBSTITUTION TO GET THE (X, Y)
THANKS!

Answers

Step-by-step explanation:

[tex]\huge\mathcal\pink{here \: is \: your \: solution..} \\ \\ equation = > y = - 8x - 49 \\ \\ = > y = - x \\ \\ put \: the \: value \: of \: y \: in \: equation \\ \\ - x = - 8x - 49 \\ \\ - x + 8x = 49 \\ \\ 7x = 49 \\ \\ x = 49 \div 7 \\ \\ x = 7 \\ \\ now \: \: \: y = - 7 \\ \\ \huge\mathfrak\green{hope \: it \: helps.} \\[/tex]

How many times greater is 100 and 0.01 RESPOND WITH URGENCY I REALLY NEED TO FINISH MY TEST IN 3 MINUTES AND I HAVE 5 QUESTIONS LEFT!

Answers

1,000
this is because 0.1 x 1000 = 100
hope that helps!

Write an equation for the line of fit for this data in the form y=mx+b where x is latitude and y is temperature.

Answers

Answer:

[tex]y = -x + 115[/tex]

Step-by-step explanation:

Given

See attachment for graph

Required

The equation of best fit

First, we pick two corresponding points on the graph,

We have:

[tex](x_1,y_1) =(55,60)[/tex]

[tex](x_2,y_2) =(45,70)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{70 - 60}{45 - 55}[/tex]

[tex]m = \frac{10}{-10}[/tex]

[tex]m = -1[/tex]

The equation is the calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives

[tex]y = -1(x - 55) + 60[/tex]

Open bracket

[tex]y = -x + 55 + 60[/tex]

[tex]y = -x + 115[/tex]

Marie flips a fair coin three times. What is the probability that the coin lands on tails all three times? A. 1/2 B. 1/4 C. 1/6 D. 1/8

Answers

Answer:

I found the answer on this website. It seems correct! Link Below!

Step-by-step explanation

fractions.com/shirynsanswers/odben

Answer:

1/2

Step-by-step explanation:

PLEASE HELP ME ON MY FIRST QUESTION!, SHOW WORK PLEASE!!

Answers

Answer:

Solution given:

radius [r]=2cm

height [h]=8cm

total surface area of cylinder=?

we have

total surface area of cylinder=2πr²+2πrh

2πr(r+h)2π*2(2+8)40π or 125.66cm²

total surface area of cylinder40π or 125.66cm².

Question :-

Find the surface area of the cylinder.

___________________

Solution :-

Given Information :-

Radius of the Cylinder ➢ 2 cmHeight of the Cylinder ➢ 8 cm Value of π (pi) (not given) ➢ 3.14

To Find :-

Surface Area of the Cylinder

Formula Used :-

Area of cylinder = 2πr( r + h )

Calculation :-

Substituting the values given in the formula, We get,

⇒ Area of Cylinder = 2 × 3.14 × 2 ( 2 + 8 )

⇒ Area of cylinder = 2 × 3.14 × 2 ( 10 )

⇒ Area of cylinder = 2 × 3.14 × 20

Calculating further, We get,

Area of cylinder = 125.66 cm²

___________________

Final Answer :-

Area of cylinder = 125.66 cm²

____________________

distance on a street map is proportional to actual distance when the distance on the map is (1)/(2) cm, the actual distance is 3 km. shannas house is 16(1)/(2)km from the riding stables what is the distance on the map
a) 2 (3)/(4) cm
b) 5 (1)/(2) cm
C) 6cm
D) 11 cm

Answers

Answer:

b) 5 (1)/(2) cm

Step-by-step explanation:

Need to find the value of N. need ASAP due to it being a hand in

Answers

Answer:

n=11

Step-by-step explanation:

This is a right angle, so the angles are complementary and have a sum of 90°.

[tex]4n-8+5n-1=90[/tex]

[tex]9n-9=90[/tex]

[tex]9n=99[/tex]

[tex]n=11[/tex]

PLEASE HELP! DUE AT 11:59 PST

Amanda earns $30 per week for her allowance, plus $15 dollars per hour babysitting. She wants to earn at least $150 each week.?

Write a function F(h) to represent the situation.

How many hours must Amanda babysit each week?​

Answers

Answer:

Y = 15x + 30 and 8 hours

Step-by-step explanation:

She gets $15 per hour so her income is based on her hours, but we don't know what that is yet so, 15x.

She gets a solid $30 every week that is straight forward

To solve the function

150 = 15x + 30

subtract 30 from both sides

120 = 15x

divide 15 from both sides

8 = x

or

x = 8

You got this :)


Which point on the number line represents - 2/3?
A. Point Q
B. Point P
C. Points
D. Point R

Answers

A. Point Q

Move 2 time to the left of 0.

The diameter of the circle below is 10 in. The shaded region is
of the whole circle.
Find the area of the shaded region, in square inches. Round your answer to the nearest tenth.

Answers

Answer:

62.83

Step-by-step explanation:

The number of shirts and shorts you can buy with $30 is represented by the equation 10x+5y=30. Write the equation in function form.

Answers

Answer:

f(x) = -2x+6

Step-by-step explanation:

Given the equation 10x+5y=30, in order to write as a function form, we need to make y the subject of the formula from the given function as shown;

10x+5y=30

Subtract 10x from both sides

10x+5y - 10x= - 10x+30

5y = -10x + 30

Divide through by 5

5y/5 = -10x/5 + 30/5

y = -2x + 6

Hence the required equation in function form is f(x) = -2x+6

Find the valué of x round yo the nearest tenth

Answers

Answer:

[tex]x = \cos(42) \times 14 \\ x =(10.40402755668)[/tex]

Can someone help me this is due in 5 min

Answers

Answer:

9^9

Step-by-step explanation:

12 - 3 = 9

so 9 to the 9th power

On a ship the ratio of crew members to passengers is 1:15. There are 540 passengers. How many crew members are there?​

Answers

Answer: 36

Step-by-step explanation: Keep multiplying 15 until you get 540. 36 * 15 is 540

Answer:

36 Crew members

Step-by-step explanation:

Divide 540 by 15, to find how much the new amount of passengers had increased. It should be 36.

Now to keep the ration even, you need to multiply the amount of Crew members by 36 too.

Double checking your answer:

1/15=0.06666666667...

36/540=0.06666666667...

There's probably other ways to solve this, this is just how I did it.

Please help. What is the answer? I’m struggling.

Answers

Answer:

10

10

15

15

total50

Step-by-step explanation:

The answer would be 50

What is the best way to gather information for each of the scenarios? Select Survey, Experiment, or Observational study for each scenario. Survey Experiment Observational study A director wants to know what his singers do before a performance. A director wants to know who his best soprano is. O A director wants to know how verbally disciplining a singer affects the group. A director wants to know what musical is the most popular in the community.​

Answers

Answer:

1. A director wants to know what his singers do before a performance. - Survey

2. A director wants to know who his best soprano is. - Observational Study

3. A director wants to know how verbally disciplining a singer affects the group. - Observational Study

4. A director wants to know what musical is the most popular in the community. - Survey

Step-by-step explanation:

I just took the same quiz :)

hey! please help i’ll give brainliest

Answers

Answer:

Family - son

Step-by-step explanation:

I think that is the answer

Ally sold 18 boxes of girl scout cookies. This was 40% of the number of boxes that Kayla sold. How many boxes did Kayla sell?

Answers

Answer:

Kayla sold 90 boxes of cookies.

Step-by-step explanation:

let's have X be the number of boxes Kayla sold.

x⇒100%

18⇒20%

Find x,

x=100/20 × 18

x=90

I need help please solve for x and y rectangles

Answers

Answer:

x=4

y=103 degree

Step-by-step explanation:

You are preparing for a breakfast party and enough milk for 20 people. Each person will drink about 200 mL of milk. Which is the best estimation of a amount of milk you should prepare: 400 mL or 4 L? Why?

Answers

Answer:

4 l

the total ml of milk for 20 people is 4000ml and not 400 ml. 4000ml converted to litres is 4l

Step-by-step explanation:

total amount of milk for 20 people = 200 x 20 = 4000ml

1000 ml = 1 liter

4000ml /1000 = 4 l

I need answers quick. ASAP. HELP.​

Answers

It’s 1/2. Up 1 over 2

Exercise 18
what's 0.4 ÷ 4 =​

Answers

Answer:

0.1

Step-by-step explanation:

Answer:

0.4 ÷ 4 = 0.1

Explanation:

a zoologist hides in a bush 200 feet away from a tree inhabited by a family of monkeys. if the zoologist is looking up at an angle.of 15°, how high in the tree ate monkeys?

Answers

Answer:

[tex] \displaystyle 53.6ft[/tex]

Step-by-step explanation:

refer the attachment

let the height be h

since we are given the adjacent side and want to figure out opposite side we'll use tan function

so our equation is

[tex] \displaystyle \tan( {15}^{ \circ} ) = \frac{h}{200} [/tex]

cross multiplication:

[tex] \displaystyle h = 200\tan( {15}^{ \circ} ) [/tex]

by using calculator we acquire:

[tex] \displaystyle h \approx 53.6ft[/tex]

hence,

about 53.6ft high in the tree ate monkeys

Which model BEST represents each of the following scenario:
You deposit $500 into a bank account that pays 3% interest compounded annually.

Answers

Which of the following statements regarding low interest rates is true? a. They encourage investors to search for investments like Treasury bills. b. They encourage the substitution of equity by debt. They encourage investors to search for stocks paying high dividends. d.

Someone help me with this pls

Answers

Answer:

z²¹ is the correct answer dude

Answer:

z²¹ would be your answer. hope this helped!!!!

Step-by-step explanation:

what is 25% of 50 pls help

Answers

Answer:

12.5 is your answer buddy

Answer:

Step-by-step explanation:

So, lets think of this a simpler way.

What is 1/2 of 50?

Well, thats 25. That is 50%. We want 25%, which is 1/4 of 50.

So lets divide the 25 we got in half:

25/2

=

12.5

So this is your answer!

Hope this helps!

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