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)
ANSWER NEEDED QUICK, SHOW YOUR WORK PLEASE)
Ground beef costs $2.19 per pound. Which equation best
represents y, the total cost of x pounds of ground beef?
A. x = 2.19y
B. x= 2.19+y
C. y = 2.19x
D. y = 2.19 + x
Answer:
C
Step-by-step explanation:
When looking at the total cost of x pounds of something when the cost is per pound, you multiply the two numbers. Because y is the total cost, you want that as the answer that you are looking for, so it will be by itself when looking at the two sides of the equation. This means that answer c is the only one correct. A/B cannot be unless you were looking for the number of pounds, and you were dividing y (total cost) by 2.19 (cost per pound). D does not work because you are just adding how many pounds you have to the cost per pound.
Three different accounts are described below. Order the accounts according to their values after 10 years, from greatest to least.
You deposit $950 in an account that earns 9% annual interest compounded daily.
= You deposit $1000 in an account that earns 8% annual interest compounded daily.
= You deposit $1000 in an account that earns 9% annual interest compounded semiannually.
= You deposit $1000 in an account that earns 10% simple interest.
Answer:
`1. You deposit $950 in an account that earns 9% annual interest compounded daily.
2.You deposit $1000 in an account that earns 8% annual interest compounded daily.
3. You deposit $1000 in an account that earns 9% annual interest compounded semiannually.
Step-by-step explanation:
Trick question, number 3 says semiannually so it is only twice a year, so it is the least. In math papa or any algebra calculator, put in the two equations and compare which is greater, in this case, y = 950(1.09)^10 is greater than y=1000(1.08)^10
Accounts according to their values after 10 years, from greatest to least. are Account 3, Account 1, Account 2 and Account 4.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The formula for daily compounding is:
[tex]A = P(1 + r/n)^{nt}[/tex]
where A is the future value,
P is the principal amount,
r is the annual interest rate,
n is the number of times the interest is compounded per year, and t is the time in years.
When we deposit $950 in an account that earns 9% annual interest compounded daily.
A = 950(1 + 0.09/365)³⁶⁵⁰
= $2,436.24
Deposit $1000 in an account that earns 8% annual interest compounded daily.
A = 1000(1 + 0.08/365)³⁶⁵⁰
= $2,223.97
Deposit $1000 in an account that earns 9% annual interest compounded semiannually.
A = 1000(1 + 0.09/2)²⁰
= $2,471.52
Deposit $1000 in an account that earns 10% simple interest.
The formula for simple interest is:
A = P(1 + rt)
where A is the future value, P is the principal amount, r is the annual interest rate, and t is the time in years.
Using this formula, we get:
A = 1000(1 + 0.10(10))
= $2,000
Now we can order the accounts from greatest to least based on their future values after 10 years:
Account 3: $2,471.52
Account 1: $2,436.24
Account 2: $2,223.97
Account 4: $2,000
Hence, accounts according to their values after 10 years, from greatest to least. are Account 3, Account 1, Account 2 and Account 4.
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ2
Which graph represents the function f(x)=3/2(2)superscript x? I’ll give Brainliest or whatever
HELP FAST FAST FAST FASTT PLS<3
A model of the ocean floor takes up 2/5 of the space in an aquarium. If 3/8 of the model is coral, what fraction of the space in an aquarium is taken up by coral?
Answer:
Fraction = [tex]\dfrac{3}{20}[/tex]
Step-by-step explanation:
Given that,
A model of the ocean floor takes up 2/5 of the space in an aquarium.
3/8 of the model is coral.
We need to find the fraction of the space in an aquarium is taken up by coral. So, it can be done as follows :
[tex]x=\dfrac{3}{8}\times \dfrac{2}{5}\\\\x=\dfrac{3}{20}[/tex]
So, the fraction of space taken by coral is [tex]\dfrac{3}{20}[/tex] in an aquarium.
A (3,2) y b (2,-1) pasa por los puntos
=================================
Answer:In the images is the graph of the line that passes through points A (3,2) and B (2, -1)
Also the equation of the line is y = 3x-7
Use two different applications Geogebra and Desmos
================================
RespuestaEn las imágenes está la gráfica de la recta que pasa por los puntos A(3,2) y B(2,-1)
Además, la ecuación de esa recta es y=3x-7
Use dos aplicaciones distintas Geogebra y Desmos
================================
When you go swimming the pressure in your ears varies directly with the depth at which you swim. At 10 feet, the pressure is about 4.3 pounds per square inch (psi). a) Write the variation function. b) Predict the pressure at 50 feet. c) It is unsafe for amateur divers to swim where the pressure is more than 65 psi. How deep can an amateur swimmer safely swim (round to the nearest thousandth)
Answer:
(a) [tex]p = 0.43d[/tex]
(b) [tex]p = 21.5[/tex]
(c) [tex]d = 151.163[/tex]
Step-by-step explanation:
Given
Variation: Direct
Represent ear pressure with p and depth with d.
So, we have:
[tex]p\ \alpha\ d[/tex]
[tex]d =10[/tex] when [tex]p =4.3[/tex]
Solving (a): Write a variation
We have:
[tex]p\ \alpha\ d[/tex]
Write as an equation
[tex]p = kd[/tex]
Where: k is the constant of variation
[tex]d =10[/tex] when [tex]p =4.3[/tex]
So, we have:
[tex]4.3 = k * 10[/tex]
Make k the subject
[tex]k = \frac{4.3}{10}[/tex]
[tex]k = 0.43[/tex]
Substitute 0.43 for k in [tex]p = kd[/tex]
[tex]p = 0.43d[/tex]
Solving (b): Pressure at 50 feet
Substitute 50 for d in [tex]p = 0.43d[/tex]
[tex]p = 0.43 * 50[/tex]
[tex]p = 21.5[/tex]
The pressure is 21.5 pounds per square
Solving (c): The safe depth
The safe depth stops at a pressure of 65psi.
Substitute 65 for p in [tex]p = 0.43d[/tex]
[tex]65 = 0.43 * d[/tex]
Make d the subject
[tex]d = \frac{65}{0.43}[/tex]
[tex]d = 151.162790698[/tex]
[tex]d = 151.163[/tex] -- approximated
The safe distance for an amateur is 151.163ft
Solve the system of equations:
y=5x+3
2x+6y=50
Find the area of the octagon.
The area is _
Mrs. Rogers sold 48 out of 80 crafts at the fair. What
percent of her crafts did she sell?
Answer:
She sold 60% of her crafts.
Step-by-step explanation:
48/80 = 0.6
please mark me brainliest :)
Answer:
60%
cuz 48 / 80 = .6 convert .6 into a percentage which is 60%...
can i be brainiest...
Mrs. Hartill drove 3.1 miles to the grocery store, then 4.25 miles to the salon, and 10.8 miles to her sons house. How many miles did she drive altogether?
Answer: 18.15 miles
Step-by-step explanation:
Can someone help me it will for sure help alot someone who is confident on doing it WILL GIVE BRAINLIEST
Answer:
....................
Oliver said, "To the nearest hundred, I’ve attended drama club for 900 days of my life!” Write three numbers that could be the actual number of days Oliver has attended drama club.
A. 743, 970, 933
B. 870, 933, 780,
C. 780, 849, 761,
D. 867, 870, 933
What is the sum of 5/7 + 5/6?
A. 10/42
B. 10/13
C. 1 & 23/42
D. 6 & 5/42
Answer:
C. 1 & 23/42
Step-by-step explanation:
Well when we add it we get 65/42 and we need to
simplify it and we get 1 & 23/42.
Answer:
C
Step-by-step explanation:
PLSS HELP NEEDED ASAP
Which of the following is equal to 4.8 ÷ 2?
Let's divide:
4.8 ÷ 2 = 2.4
Another option:
Shift the decimal point one space for both:
4.8 → 48
2.0 → 20
Now we can divide easily:
48 ÷ 20 = 2.4
It will give the same result.
Answer. 2.4NEED THIS ASAP Solve each inequality and graph its solution
Answer:
x>22
Step-by-step explanation:
hope this helps
Please Help 15 points and brainliest for best answer thank you it's on the picture provided
Answer:
NO PICTURE
Step-by-step explanation:
A certain forest covers an area of 1900 km2 . Suppose that each year this area decreases by 4.75% . What will the area be after 8 years? Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
1000 klgram Sha bebe
And so many things I have to do whit a person do and every thing
Thank you
. At 9 am on a regular school day, there are 35 students in the library. If for every 30 minutes,
5 students will leave, but 2 students will come, at what time will there be no more students in
the library?
Answer:
360 minutes or In 6 hours.
Step-by-step explanation:
!!!!15 EASY POINTS!!!!
What is 8x times x?
Answer:
8x²
Step-by-step explanation:
Whenever it's multiplication, you would count how many x's there are and raise the x to the power of the number of x's.
The multiplication of 8x and x is 8x^2.
When we have to do multiplication,
We have given 8x and x.
What is the meaning of multiplication?Multiplication is defined as calculating the result of repeated additions of two numbers.
you would count how many x's there are and
Raise the x to the power of the number of x's.
and that is
[tex]=8\times x\times x[/tex]
There are two x therefore we have
[tex]=8x^2[/tex]
Therefore the multiplication of 8x and x is 8x^2.
To learn more about the multiplication visit:
https://brainly.com/question/10873737
When 2/3 tons of coal cost $13.50, what will in ton cost?
Answer:
20.25
Step-by-step explanation:
Divide 13.50 by 2 and then multiply by 3.
Don’t understand how to do this can somebody explain and answer, need badly
In which of the following triangles are AB || DE?
The photos are the options to choose from! <3
Answer:
1st triangle and 4th triangle
ten to the power of 8
Answer:
000000000
Step-by-step explanation:
Drag numbers to show which are closer to -3/5 and 4/5 on the number line.
Answer:
closest to -3/5 is -4/5. closest to 4/5 is 0.6
Step-by-step explanation:
Answer:
-4/5 in the first
.6 in the second
Step-by-step explanation:
it was correct
What is the equation?
Answer:
y - 4 = (1/3)(x - 9) or x - 3y = -3
Step-by-step explanation:
Here we're told that the slope is 1/3 and that (9, 4) is a point on the line. Use the point-slope formula y - k = m(x - h). Substitute 4 for k, 9 for h and 1/3 for m:
y - 4 = (1/3)(x - 9) (point-slope formula)
3y - 12 = x - 9 (standard form of the same equation) = >
-12 + 9 = x - 3y, or x - 3y = -3 (standard form)
a elevator is on the 10 floor it goes down 6 floors and then up 4 floors what floor is the elevator on now
Answer:
8th floor
Step-by-step explanation:
10 - 6 = 4
4 + 4 = 8
Answer:
8 floor
Step-by-step explanation:
gfhshddhdhfhdhrbyuygtv
five sixths yards = inches
Answer:
Five sixths of a yard is 30 inches
Step-by-step explanation:
Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
the line represented by - 7x + 2y = 14?
Answer:
18
Step-by-step explanation:
to be 18 7 bitween one is the complet the neme of soit and can be instracttion
Answer:
d
Step-by-step explanation:
y+5=-2/7(x-4)
what is 6+5/7 converted into a mix number
Answer:
47/7
Step-by-step explanation:
I think the answer is 6 5/7 or 47/4
Answer:
6 5/7
Step-by-step explanation:
Hope this helps!
Best of luck! ♥