Answer:
Well, when we have a point in rectangular coordinates (x, y) and we want to write it in polar coordinates (r, θ) the rule we use is:
r = √(x^2 + y^2)
θ = Atg(Iy/xI) + 90°*(n - 1)
where n is number of the quadrant where our point is.
For example, if we are on the second quadrant, we use n = 2.
Now, if instead, we have the point (r, θ) and we want to rewrite it in rectangular coordinates, then the transformation is:
x = r*cos(θ)
y = r*sin(θ)
Now we have the point (- 2, -(5pi)/4) because the first part is negative, this number can not be in polar coordinates (r can not be negative) then we have:
x = -2
y = -(5*pi)/4
Using the first relation, we can find that:
r = √( (-2)^2 + (-5*3.14/4)^2) = 4.4
(rememer that the point (- 2, -(5pi)/4) is on the third quadrant, then we will use n = 3.)
θ = Atg(-(5*pi)/4/-2) + 90°*(3 - 1)= Atg((5*pi)/2) + 180° = 82.7° + 180° = 262.7°
Then the point that represents (- 2, - (5pi)/4) in polar coordinates is the point:
(4.4, 262.7°)
If instead of degrees, the angle part is written in radians, we have:
180° = 3.14 radians.
262.7° = x radians.
then:
x/3.14 = (262.7)/180
x = 3.14*(262.7)/180 = 4.58 radians.
then the point will be:
(4.4, 4.58 radians)
i can’t figure out how to do this
Answer:
i need to know the answer choices
Step-by-step explanation:
Answer:
-25 is correct I think
Step-by-step explanation:
how many times greater is 6x10⁹ than 3x10²
please i need help pleasee
What is the value of
the digit 9 in the
number below?
157,243
Answer:
Nine hundred
The 9 is in the hundred place. So it would stand for 9 hundred.
What is 5 divided by 1/8?
Answer: 50
Step-by-step explanation:
Its 40
Step-by-step explanation
The width of a rectangle is the length minus 3 units.The area of the rectangle is 10 units. What is the width, in units, of the rectangle?
Answer:
2 units
Step-by-step explanation:
It's because the only whole number factor pair to 10 is 2x5 and luckily, it turned out that 5-3=2, so there are no decimals or fractions.
Pls help me I need it now pls
two points on a line L are (5,2) and (7,-4). what is the slope of L
Answer:
-3
Step-by-step explanation:
The slope of a line can be calculated with the formula (y2-y1)/(x2-x1)
In this case we have:
(-4-(2))/(7-5)
(-6)/(2)
-3
Let me know if this helps!
Help please! Last questiom btw!
Answer:
3015³
Step-by-step explanation:
Hellllloooo!
One last time why dont we.
This time we are given a cylinder to find the area of which is pretty fun ngl.
Lets take a look at the formula for a cylinder :
Volume = [tex]\pi[/tex] x r² x h
Now this may look weird cause that house thing is for sure not a number but trust me it is easy once you know what you're looking at.
So that house thing is called pi, and really it is worth 3.14 just it looks like that for some reason. But it is used to find the area of circles.
So what we are going to do is find the area of the circle which is the base of the cylinder and multiply it by the height to find the total area.
Again lets see what we are given :
Radius = 8
Height = 15
Now we plug this into the formula :
Volume = [tex]\pi[/tex] x r² x h
Volume = [tex]\pi[/tex] x 8² x 15
(don't forget your little 2 after the radius (8))
So first lets do pi x 8²
=
Which gives us roughly around 201
So now we have the surface area of the base circle of this cylinder, all we have to do is multiply by the height.
So :
201 x 15
=
3015³
(don't forget your little 3 cause its 3D)
But that is your answer.
I hope this helps!
If you have any questions or concerns comment or message me :)
Gina wants to go to the water park with her friends. They have a total of w dollars to buy 5 tickets. Each
ticket costs 15 dollars.
Select the equation that matches this situation.
Ow= 15 + 5
O 5 = 15w
O w = 5(15)
15 = 5w
Answer:W=5x15
HTH
Step-by-step explanation:
Three stores have the same tablet computer on sale. The regular price of the tablet is $150. Store A is offering the tablet on sale at 15% off the regular price. Store B is offering a $25 coupon to be deducted from the regular price. Store C is offering a rebate of $20.00 to purchasers. Store D has the tablet on sale for $120.00. Which store is offering the tablet at the lowest cost?
1. Store A
2. Store B
3. Store C
4. Store D
John makes a commission of 6% when he sells a house how much is john's commission if he is sells a house for $300,000
Answer:
18,000
Step-by-step explanation:
6% is 0.06
300,000 * 0.06 = 18,000
Answer:
John's commision is $18,000
Step-by-step explanation:
This is is essentially asking what 6% of $300,000 is.
6% in decimal form equals 0.06
You then multiple the decimal to the orginal value.
(0.06)(300,000) = 18,000
John's commision is $18,000
Which system of equations could be graphed to solve the equation below
some plz help because the teacher says that I have to do it by my self I need help
Answer: I think the red moon is equal to 64 because 64 is half of 128, and I think the purple square is equal to 12 because if you add all of the other shapes, they equal 52 and 64 - 52 is 12.
Find the polynomial of least degree in standard form with the given roots:
x = 2, 3i
Answer:
x^3 - 2x^2 + 9x - 18.
Step-by-step explanation:
The complex roots occur in conjugate pairs so there are 3 roots 2, 3i and -3i.
So we have:
P(x) = (x - 2)(x - 3i)(x + 3i)
= (x - 2)(x^2 - 9i^2)
= (x - 2)(x^2 - 9*-1)
= (x - 2)(x^2 + 9)
= x^3 + 9x - 2x^2 - 18
= x^3 - 2x^2 + 9x - 18.
The revenue equation of a company, in terms of the price of its product, is R(p) = -15p^2 + 300p + 12000.
find the revenue when the price is $10
Answer:
the answer is six thousand
Please Help! Very Urgent, i only have like half a hour. 20 points and brainiliest.
Answer:
Yes, they are similar.
[tex]AB\approx 127.3947[/tex]
Step-by-step explanation:
Part 1)
Yes.
First, ∠D and ∠B are both right angles, so they are congruent.
Next, ∠DCE and ∠BCA are vertical angles. So, their measures are congruent.
Then by Angle-Angle Similarity, we acquire:
[tex]\Delta EDC\sim \Delta ABC[/tex]
Part 2)
The corresponding sides of similar triangles are proportional.
Therefore:
[tex]\displaystyle \frac{DE}{DC}=\frac{AB}{BC}[/tex]
By substitution:
[tex]\displaystyle \frac{103}{76}=\frac{AB}{94}[/tex]
Cross-multiply:
[tex]76AB=9682[/tex]
So:
[tex]AB=9682/76\approx127.3947[/tex]
20 points i will mark brainiest
Question 4
(08.03)
Solve the system of equations and choose the correct answer from the list of options.
x − y = 7
y = 3x + 12
Question 4 options:
1)
2 over 19 comma 2 over 33
2)
negative 2 over 19 comma negative 33 over 2
3)
negative 19 over 2 comma negative 33 over 2
4)
19 over 2 comma 33 over 2
Answer:
x = -9 1/2
y = -16 1/2
Step-by-step explanation:
x - y = 7
solve the above for 'y': -y = 7 - x
multiple each side by -1: y = x - 7
now both equations are in 'y=' form
x - 7 = 3x + 12
-2x - 7 = 12
-2x = 19
x = -19/2 or -9 1/2
-9.5 - y = 7
-y = 16.5
y = -16.5 or -16 1/2
Answer:
(-19/2, -33/2)
Step-by-step explanation:
The sum of the measures of the interior angles of a convex polygon is 720' Classify the polygon by the number of sides.
Answer:
Since the figure with angles measuring 0˚ is 1 lines, then the figure with interior angles of 720˚ has 1+5=6 sides.
Step-by-step explanation:
Find the average rate of speed, expressed in miles per hour (unit rate). A post office truck delivered mail on a 9-mile route in 2 hours.
please help ! D:
Answer:
4.5 miles per hour
Step-by-step explanation:
help me out yall pleaseeee
PLEASE WILL MARK BRAINLIEST AND GIVE A LOT OF POINTS!!!! PLEASE TRY
Answer:
Because they both equal d, you can set them equal to each other:
[tex]941-12t=523+26t\\418 = 38t\\t = 11[/tex]
Substitute t = 11 into the equation 523 + 26t = d:
[tex]523 + 26 *11 = d\\523 + 286 = d\\809 = d[/tex]
There will be 809 DVDs and Blu-ray discs sold per month in 11 months.
A nutritional consulting company is trying to find what percentage of the population of a town is overweight. The marketing department of the company contacts by telephone 600 people from a list of the town's telephone directory. All 600 people give answers to the survey. Which of the following is the most significant source of bias in this survey?
a. Size of sample.
b. Undercoverage.
c. Voluntary response bias
d. Nonresponse.
e. Response bias.
Kathy and her friends got 2 Pizzas They ate: 4/8 of a pizza on Monday. 3/8 of a pizza on Tuesday and 5/8 of a pizza on Wednesday. How much pizza was left after they finished eating on Wednesday? (Work it out)
Answer:
I can answer this give me one moment
i need help due tonight
Answer:
s=6
Step-by-step explanation:
3(s+4)=30
multiply 3×s and 3×4
3s+12=30
-12=-12
3s=18
divide 18 and 3s
s=6
Answer:
s=6
Step-by-step explanation:
a painter can paint 180 square feet in 30 minutes. how many square feet can he paint in 120 minutes?
Answer:
720
Step-by-step explanation:
jayfeather friend me
Answer:
720
Step-by-step explanation:
Words
a. Divide the difference
between 1,200 and 700 by 5
Answer:
100
Step-by-step explanation:
1,200 - 700 = 500
500/5 = 100
Btw, uan got to, but I would really appreciate it if u marked me brainliest cuz I need one more nd I tried
CAN ANYONE HELP WITH #4????
Answer:
Just found that it is 3. Btw, try m a t h w a y. com
Step-by-step explanation:
Hope that helps!
Which geometric sequence has a common ratio of -9?
{-1, -9, 81, 729, …}
{1, -9, 81, -729, …}
{-9; -81; -729; -6,561; …}
{81; 729; 6,561; 59,049; …}
WILL GIVE BRAINLIEST!!!!
Answer:
second one
Step-by-step explanation:
just multiply by -9 and see which one fits in
Answer:
{1, -9, 81, -729, …}
Step-by-step explanation:
Geometric sequence is basically multiplying the previous number by the constant. So it is 1 x -9 = -9, -9 x -9 = 81, -81 x -9 = -729, and so on.
In ΔEFG, e = 690 cm, f = 650 cm and ∠G=58°. Find the length of g, to the nearest centimeter.
Answer:
651
Step-by-step explanation:
deltamath