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Ksivusya [100]
3 years ago
7

Write the following parametric equations as a polar equation x=t^2 y=2t

Mathematics
1 answer:
Fofino [41]3 years ago
8 0

Answer:

r=4\csc \theta \cot\theta

Step-by-step explanation:

The given parametric equations are;

x=t^2

y=2t

We make t the subject in the second equation to get:

t=\frac{y}{2}

We substitute into the first equation to get:

x=(\frac{y}{2})^2

We use the relation:

x=r\cos \theta and y=r\sin \theta

r\cos \theta=(\frac{r\sin \theta}{2})^2

r\cos \theta=\frac{r^2\sin^2 \theta}{4}

r=4\csc \theta \cot\theta

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A softball coach has ordered softballs for two different leagues. The Junior League uses
dedylja [7]

The number of 11-inch softball is 70 and the number of 12-inch softball is 50.

<u>Step-by-step explanation</u>:

<u>Given that,</u>

  • The cost of 11-inch softball = $2.50
  • The cost of 12-inch softball = $3.50

<u>Let us assume,</u>

  • The number of 11-inch softball be 'x'.
  • The number of 12-inch softball be 'y'.

<u>Forming the equation to solve x and y values :</u>

  • The total number of softball ordered = 120
  • The total cost for 120 softballs = $350

x + y = 120  -------(1)

2.5x + 3.5y = 350   --------(2)

<u>Multiply eq(1) by 2.5 and subtract eq(2) from eq(1)</u>,

 2.5x +2.5y = 300

-<u>(2.5x +3.5y = 350)</u>

  <u>        -1y     =  -50</u>

Therefore the value of y = 50.

The number of 12-inch softball is 50.

<u>Substitute y=50 in eq(1),</u>

x+50 = 120

x = 120-50

x = 70

The number of 11-inch softball is 70.

5 0
3 years ago
Tensile strength tests were performed on two different grades of aluminum spars used in manufacturing the wing of a commercial t
jekas [21]

Answer:

(12.1409, 14.0591

Step-by-step explanation:

Given that Tensile strength tests were performed on two different grades of aluminum spars used in manufacturing the wing of a commercial transport aircraft. From past experience with the spar manufacturing process and the testing procedure, the standard deviations of tensile strengths are assumed to be known.

Group   Group One     Group Two  

Mean 87.600 74.500

SD 1.000 1.500

SEM 0.316 0.433

N 10      12    

The mean of Group One minus Group Two equals 13.100

standard error of difference = 0.556

 90% confidence interval of this difference:  

(13.1-1.725*0.556,13.1+1.725*0.556)\\=(12.1409, 14.0591)

  t = 23.5520

 df = 20

4 0
3 years ago
8.6 greater than or less than -8
CaHeK987 [17]

Answer:

Greater than.

Step-by-step explanation:

8.6 is greater than -8

8 0
3 years ago
PLEASE PLEASE PLEASE HELP! WILL BE GIVING OUT BRAINLIEST AND LOTS OF POINTS!!!!!!!
Licemer1 [7]
No,The room is not a square shaped.This is because.Perimeter of the square shape would be length of any sides×4 as all sides will be the same in a square.Therefore, if the room ia a square, the 4 sides of room floor will be equal too.It is not a square shaped room beacause it sides are not equal for floor.We can determine by finding the sides;
diagonal is 18.75 so by using pythagoras theorem
diagonal^2 =l^2 + b^2
b^2=18.75^2 + 17^2
b =25.31 inches which is not the same as the length 17 inches.Therefore,the room is not a square
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3 years ago
Zach read a book for 10 minutes every weekend in the first month, 20 minutes in the second month, 40 minutes in the third month,
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I do not see an answer, only because Zach's change in reading time increases exponentially, and Victoria's increases at a linear rate.
6 0
3 years ago
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