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ad-work [718]
3 years ago
14

Convert r=53sinθ−cosθ to rectangular form.

Mathematics
1 answer:
Helga [31]3 years ago
3 0

Answer:

y = \frac{1}{3} x + \frac{5}{3}

Step-by-step explanation:

r = 5/(3sinθ-cosθ)

multiply both sides by (3sinθ-cosθ):

r(3sinθ-cosθ) = 5

expand:

3rsinθ-rcosθ = 5

replace rsinθ with y and rcosθ with x:

3y-x = 5

add x to both sides:

3y = x + 5

divide both sides by 3:

y = 1/3x + 5/3

: )

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32, I just need to see if I’m right.
ikadub [295]

Answer:

the answer is -3/10x<-12

x<40




6 0
3 years ago
A clothing store offers a shirt in 5 colors, in long or short sleeves, with a choice of three different collars. How many ways c
Igoryamba
That is just multiply the number of choices for each
5 colors
2 lengths of sleaves
3 colors

5*2*3=30

answer is 30
C is answer
5 0
4 years ago
Read 2 more answers
6x- 12 = 36 2 step equation a little help please
kari74 [83]

Answer:x=8

Step-by-step explanation:

6 0
3 years ago
Gabriel is designing equally sized horse stalls that are each in the shape of a rectangular prism. Each stall must be 9 feet hig
ElenaW [278]

Total Volume is given as 1080 cubic feet.

Height is given as 9 feet.

Length is 2 feet longer than the width, so Length = x+2

If the stall is 10 feet wide, then the length would be 10 +2 = 12 feet.

The volume for that would be 10 x 12 x 9 = 1080 cubic feet.


Yes it is possible for the width to be 10 feet.

4 0
4 years ago
Read 2 more answers
What is the standard deviation of the following data? 52 61 31 44 47 45 25 48 47
Elena-2011 [213]
Standard deviation is calculated by
1. calculate mean, m
2. calculate deviation of EACH entry of data set from the mean, i.e.
d=(x-m)
3. calculate mean of square of deviations (d^2)/n to get variance,v
4. take square-root of variance to get standard deviation.

For example,
To find the standard deviation of data set {3,7,8}
1. mean=(3+7+8)/3=6
2. deviations, di={3-6,7-6,8-6}={-3,1,2}
3. squares of deviations, di^2={9,1,4}
4. mean of squares of deviations=(9+1+4)/3=14/3
Standard deviation=sqrt(14/3)=2.16

For the given data set, if you follow the above steps, you would get
sum=400
mean=400/9
variance (mean square of deviations)=8246/81
standard deviation=sqrt(8246/81)=sqrt(8246)/9


3 0
3 years ago
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