Use technology to convert the polar coordinates (5, 6.1) to rectangular coordinates.
O (0.98, -0.18)
O (0.98, 0.18)
O (4.92, -0.91)
O (4.92, 0.91)

Answers

Answer 1

Answer:

  (c)  (4.92, -0.91)

Step-by-step explanation:

The conversion shown in the attached uses the complex number features of the calculator, so the y-coordinate is shown as an imaginary value. Rounded to 2 decimal places the conversion is ...

  (r; θ) ⇔ (x, y)

  (5; 6.1) ⇔ (4.92, -0.91)

__

The correct answer choice can be made without the use of technology. The sum of the magnitudes of the values of x and y must not be less than r, eliminating the first two choices. The angle 6.1 radians is near the angle 6.28 radians (2π), so is almost 360°. It will be a 4th-quadrant angle, so its y-component will be negative (eliminating the last choice).

The only viable choice for polar coordinates of radius 5 and angle 6.1 radians is the third choice: (4.92, -0.91).

__

Additional comment

The angle given has no units, so we assume it is given in radians. A calculator can only give a proper answer if it is set to radians mode for angles.

Use Technology To Convert The Polar Coordinates (5, 6.1) To Rectangular Coordinates. O (0.98, -0.18)O

Related Questions

In a fruit salad, the ratio of watermelon to strawberries is 2:3. if there are 27 strawberries in the fruit salad, How many pieces of watermelon are there?

Answers

Answer: 18

Step-by-step explanation:

27 strawberries divided by 3 strawberries = 9

2 watermelon times 9 = 18 watermelon

5. Trey currently has $300 in his bank account. He is trying to save for a new laptop that costs $900. If he saves $20 a day, which equation shows how many days it will take for Trey to have enough for his laptop.
A. 300x + 20 = 900
B. 20x + 300 = 900
C.900 + 20x = 300
D. 20x - 900 = 300
How many days until Trey is able to buy his laptop?​

Answers

The answer is B. 20x + 300 = 900

A hot air balloon descends to the ground. The function a(t) = 210 – 15t can be used to describe the altitude of the balloon as it approaches the ground. The time is in minutes.

What does t represent?


What does a(t) represent?


What information will a(5.5) give?

Answers

Answer:

t represents the time in minutes since the balloon started descending.

a(t) represents the altitude of the balloon at t minutes.

a(5.5) gives the altitude at 5.5 minutes.

Answer:

What does t represent?

✔ time after the balloon begins to descend

What does a(t) represent?

✔ altitude of the balloon

What information will a(5.5) give?

✔ altitude of the balloon after 5.5 minutes

 

Step-by-step explanation:

edge 2021

plz make me brainliest

Área and volume

Length: 19-1/2' and width 66-3/8'

Answers

Answer:

the area is -155/8

Step-by-step explanation:

can't tell you what the volume is because  there is no height to solve volume

Find the value of the variable.

Answers

set the two equations together to get 3m+5=4m-10. subtract 3m from both sides (5=m-10) then add 10 to both sides which means m=15

The required value of variable m is 15.

Gvien that,
A line segment AC is given, On which B is the midpoint,
AB = 3m + 5
and BC = 4m - 10
AB = BC

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,

AC is the line segment where B is the midpoint on the line AC. So,
AC  = AB + BC
AB = BC
3m + 5 = 4m - 10
m = 15

Thus, the required value of variable m is 15.

Learn more about function here:

brainly.com/question/21145944

#SPJ2


The graph represents the gallons of water in a water tank with respect to the number of hours since it was completely filled. The total capacity of the water tank is gallons, and the rate of change is gallons per hour.

Answers

Answer:

Total capacity of the water tank is 400 gallons

Rate of change in water level is 20 gallons per hour

Step-by-step explanation:

The graph attached represents the gallons of water in a water tank with respect to the number of hours since it was completely filled.

The total capacity of the water tank is represented by the y-intercept of the graph that is 400 gallons.

Now to calculate the rate of change in water level we will take two points on the given line and find the slope.

There are two points (0, 400) and (5, 300) on the line.

So the slope of the line is (400-300)/(0-5)=  -100/5=  -20

This minus notation of slope shows that level of water is reducing and rate of change in water level is 20 gallons per hour.

PLEASE HELP WILL GIVE BRAINLIEST I PROMISE NO LIES
The prime factorization of 76 is _____.

2^2 · 19
2 · 38
76
2^3 · 7

Answers

Hey :)

The answer is A) 2^2 • 19

The prime factorisation of 76 is:
76 = 2 x 2 x 19, which can also be written as 2^2 • 19

Hope this helps!

The Prime Factorization of 76

Answer : 2^2 • 19

Pls help

Write a recursive AND explicit formula AND find the 7th term for each sequence:

1. 5,0,-5,-10


2. 3,4.5,6,7.5,9

Answers

Answer:

1)5-5x

2)3+1.5x

Step-by-step explanation:

5-5(7)=-30

3+1.5(7)=13.5


What is the y-intercept of the quadratic function
f(x) = (x - 6)(x - 2)?

Answers

Answer:

y = 12 → (0|12)

Step-by-step explanation:

f(x) = (x - 6)(x - 2)

y = (x - 6)(x - 2)

y = x² - 6x - 2x + 12

y = x² - 8x + 12

y = 0² - 8*0 +12

y = 12

What is the slope of the line shown in the graph?

1. 4/5
2. 5/7
3. 6/7
4. 5/6

Answers

The slope of the line is B. 5/7

help me pls u get 10 points

Answers

We need to see the whole thing to answer this.

Kristen has been waiting all summer for her family's annual road trip. This year, they're headed to Yellowstone National Park. Kristen just saw a sign that said the park is 10 miles away, so the drive is almost over. If Kristen's father drives 50 miles per hour, how many more minutes will it take to reach the park?

Answers

Answer: It will take 12 minutes to the reach the park.

Step-by-step explanation:

We know that, [tex]\text{Speed }=\dfrac{\text{distance}}{\text{time}}[/tex]

[tex]\Rightarrow\ \text{Time}=\dfrac{\text{Distance}}{ \text{Speed}}[/tex]

Given: Speed = 50 miles per hour

Distance needs to travel =  10 miles

Now, Time required to reach the park = [tex]\dfrac{10}{50}=\dfrac{1}{5}\text{ hour}[/tex]

Since 1 hour = 60 minutes

So, [tex]\dfrac15\text{ hour}=\dfrac15\times 60=12\text{ minutes}[/tex]

Hence, it will take 12 minutes to the reach the park.

Can someone help me with this question I haven’t seen this answer yet
Determine the slope of the line from the given two points. (-2, 3) and (1, 8).

Answers

Answer:

5/3

Step-by-step explanation:

to find slope use the question:

y2-y1

x2-x1

8-3

1--2

5

3

2x + 5 = 8x-7-6x What is the answer to this question?

Answers

Answer:

No solution

Step-by-step explanation:

Plz help!
Solve... 4x + 30 = -6(x - 2)
I got -4.2 but it's wrong!

Answers

Answer: x= -9/5   or x = -1.8

Step-by-step explanation:

4x + 30 = -6(x - 2)   First apply the distributive property on the left side

4x + 30 = -6x + 12      Add 6x to both sides

+6x           +6x

   10x + 30 = 12     Subtract 30 from both sides

           -30    -30

10x = -18     Divide both sides by 10

 x = -9/5     or x = -1.8

Answer:

the answer is -1.8 if you want to use the decimal and -9/5 if you want to use the fraction

Step-by-step explanation:

4x + 30 = -6(x - 2)

4x+30 = -6x + 12

4x + 6x = 12 - 30

10x = -18

divide both side by 10

x = -9/5 or -1 4/5 or -1.8

( also not trying to gatekeep so i wanna say that i got this answer from an app named photomath. i scanned the question in the camera and it pulled the answer. hoped it helped love!)

i need help with my 8th grade math

Answers

Answer:

x = -2.38

Step-by-step explanation:

divide 3 to up 3x then 4 and divide them by 2.

y =(x - 2)3 + 2
.
Plz help I do not understand

Answers

Answer:

get photo math it will help alot

Factor each completely.

10a² - 9a + 2

Answers

Answer:

a= [tex]\frac{2}{5}[/tex] or [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Equate the equation to zero

[tex]10a^{2}[/tex]-9a+2=0

[tex]10a^{2}[/tex]-5a-4a+2=0

5a(2a-1)-2(2a-1)=0

Write out the factors

(5a-2)(2a-1)=0

Then equate each factor to zero

5a-2=0 OR 2a-1=0

5a=2  OR  2a=1

a= [tex]\frac{2}{5}[/tex]   OR a= [tex]\frac{1}{2}[/tex]

a=[tex]\frac{2}{5}[/tex] or [tex]\frac{1}{2}[/tex]

Solve for the value of z.
(5z-4) 39

Answers

Answer:

[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]

As we know,sum of angles on a straight line is 180 degree..

(5z-4)+90+39=180

=>5z-4+90+39=180

=>5z-4+129=180

=>5z+125=180

=>5z=180-125

=>z=55÷5

Hence,the value of z=11 degree

The barrel of a fountain pen, cylindrical in shape, is 7 cm long and 5 mm in diameter. A full
barrel of ink in the pen is used up on writing 3300 words on an average. How many words can
be written in a bottle of ink containing one fifth of a litre?​

Answers

Answer:

480,000 words

Step-by-step explanation:

For barrel of pen:

h = 7 cm, d = 5 mm

r = 5/2 = 2.5 mm = 0.25 cm

[tex]Volume \: of \: barrel = \pi {r}^{2} h \\ \\ = \frac{22}{7} \times {(0.25)}^{2} \times 7 \\ \\ = 22 \times 0.0625 \\ \\ = 1.375 \: {cm}^{3} \\ \\ one \: fifth \: of \: a \: litre \\ = \frac{1}{5} \times 1000 \: ml \\ \\ = 200 \: ml \\ \\ = 200 \: {cm}^{3} \\ \\ no \: of \: words = \frac{3300 \times 200}{1.375} \\ \\ = \frac{660000}{1.375} \\ \\ = 480,000 \\ [/tex]

Coffee beans are packaged in 50 kg cartons with an allowable error of 0.7% What is the acceptable weight range for a carton of coffee beans?

Answers

Answer:

49.65 to 50.35

Step-by-step explanation:

50kg+0.7%

50kg-0.7%

Answer:

A is the answer

Step-by-step explanation:

x^2 - 7x = -4
solve by factoring

Answers

Step-by-step explanation:

x= -[tex]\sqrt{[/tex]7x - 4

Is the line through points p (3,-5) and Q(1,4)parallel to the line through points R( -1,1) and S (3,-3)

Answers

Answer:

No

Step-by-step explanation:

To find out if the lines that go through the pairs of points are parallel, we must find the slope of each line. If the slopes are equivalent, then they are parallel. If not, then they are not parallel.

We can use the slope formula to find the slope between two points. The slope formula is:

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

where m is the slope between the points (x₁, y₁) and (x₂, y₂).

Lets first find the slope between points P and Q.

[tex]m=\frac{-5-4}{3-1}=\frac{-9}{2}=-4.5[/tex]

So the slope between P and Q is -4.5.

Now lets find the slope between the points R and S.

[tex]m=\frac{-3-1}{3-(-1)}=\frac{-4}{4}=-1[/tex]

So the slope between R and S is -1.

Since -4.5 does not equal -1, the lines are not parallel.

I hope you find my answer and explanation to be helpful. Happy studying.

To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.

a. Write an expression in simplest form that represents the amount (in dollars) it costs to adopt x dogs.
An expression is (?) dollars.

Answers

The equation with (x) in dogs and (y) in dollars is  [tex]y=195x[/tex]

First, you must set up your equation.

[tex]y=80x+65x+50x[/tex]

Then, you must add like terms to simplify the equation

[tex]y=195x[/tex]

Answer:y=195x

Step-by-step explanation:

The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her hourly rate?

Answers

Answer:

$12 per hour

Step-by-step explanation:

51 -39 =12 minutes 31 -27=12minutes

also took the test

$12 per hour

just took the test hope this helps:)

Which of the equations below will answer the following question? Select all that apply. Explain your answers.

I think of a number, add 7 and then multiply by 4. My answer is 80. What was my number?

x + 28 = 80
4(x+7) = 80
4x + 7 = 80
4x + 28 = 80

Answers

The 2nd one (look at photo)


Given B(17,5), C(11, -3), D-1, 2), and
E(x, -6), find the value of x so that BC || DE.

Answers

Answer:

[tex]x=-7[/tex]

Step-by-step explanation:

Remember that:

Two lines are parallel if their slopes are the same.Two lines are perpendicular if their slopes are negative reciprocals.And two lines are neither (a.k.a intersecting) if they are neither parallel nor perpendicular.

We want to find the value of x such that [tex]\overline{BC}\parallel\overline{DE}[/tex].

Therefore, the slopes of BC and DE must be equivalent.

So, let's find the slope of BC first.

BC)

We can use the slope formula:

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

Let B(17, 5) be (x₁, y₁) and let C(11, -3) be (x₂, y₂). Substitute:

[tex]\displaystyle m=\frac{-3-5}{11-17}[/tex]

Subtract:

[tex]m=-8/-6=4/3[/tex]

So, the slope of BC is 4/3.

DE)

Let D(-1, 2) be (x₁, y₁) and let E(x, -6) be (x, y₂). Substitute:

[tex]\displaystyle m=\frac{-6-2}{x-(-1)}[/tex]

We know that the two slopes must be equal. So, the slope of DE must also be 4/3. Substitute 4/3 for m:

[tex]\displaystyle \frac{4}{3}=\frac{-6-2}{x-(-1)}[/tex]

Solve for x. Simplify the right:

[tex]\displaystyle \frac{4}{3}=\frac{-8}{x+1}[/tex]

Cross multiply:

[tex]4(x+1)=-8(3)[/tex]

Multiply on the right:

[tex]4(x+1)=-24[/tex]

Divide both sides by 4:

[tex]x+1=-6[/tex]

Subtract 1 from both sides:

[tex]x=-7[/tex]

So, the value of x is -7.

And we're done!

Ricky, Nathan, and Henry collect comic books. Ricky owns twice as many comic books as Nathan.
Henry owns
1
3
as many comic books as Ricky. If Nathan owns 129 comic books, how many does
Henry own?

Answers

Answer:

9/12

Step-by-step explanation:

Petra buys candles in bulk for her store. Her cost for each candle is $9. She marks up the cost of the candles 85% to sell them. What is the retail price of each candle? I’m

Answers

Answer:

500

Step-by-step explanation:

divided then subtract

PLEASE HELP! I WILL MAKE YOU BRAINLIST!

Answers

Answer:

yes

Step-by-step explanation:

Answer:

proportional

Step-by-step explanation:

it is proportional

y/x=k ( constant)

5/1=10/2=15/3=20/4=5

y=5x

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