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Pavlova-9 [17]
3 years ago
5

Let z = 35.

Mathematics
1 answer:
pogonyaev3 years ago
8 0
C
d
b
b
b
63
45

easy way to complete is just to remember the rule of PEMDAS.  Parenthesis, Exponents, Multiplication, division, addition, and subtraction. Do so in that order.
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Given the parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π. convert to a rectangular equation and sketch the curve
Temka [501]

The rectangular equation for given parametric equations x = 2sin(t) and   y = -3cos(t) on 0 ≤ t ≤ π is  \frac{x^{2} }{4} +\frac{y^2}{9} =1 which is an ellipse.

For given question,

We have been given a pair of parametric equations x = 2sin(t) and           y = -3cos(t) on 0 ≤ t ≤ π.

We need to convert given parametric equations to a rectangular equation and sketch the curve.

Given parametric equations can be written as,

x/2 = sin(t) and y/(-3) = cos(t) on 0 ≤ t ≤ π.

We know that the trigonometric identity,

sin²t + cos²t = 1

⇒ (x/2)² + (- y/3)² = 1

⇒ \frac{x^{2} }{4} +\frac{y^2}{9} =1

This represents an ellipse with center (0, 0), major axis 18 units and minor axis 8 units.

The rectangular equation is  \frac{x^{2} }{4} +\frac{y^2}{9} =1

The graph of the rectangular equation \frac{x^{2} }{4} +\frac{y^2}{9} =1 is as shown below.

Therefore, the rectangular equation for given parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π is  \frac{x^{2} }{4} +\frac{y^2}{9} =1 which is an ellipse.

Learn more about the parametric equations here:

brainly.com/question/14289251

#SPJ4

7 0
2 years ago
Three dice are going to be rolled. What is the probability that the first die rolled is a 1, the second die rolled is a 2, and t
FromTheMoon [43]
Answer: The probability is 0.46%.

The chance of each given event happening is 1/6 because there are 6 different number on the dice and only 1 number is chose.

Therefore to find the combined probability, we have to multiply all the individual probabilities.

(1/6) x (1/6) x (1/6)

Or

(1/6)^3

The answer is about 0.46%,
3 0
3 years ago
Anna is 3 years older than james
fomenos

Answer:

and.......

Step-by-step explanation:

5 0
3 years ago
Nate ordered several t-shirts for $7.90 each and paid $2 for shipping. If Nate spent a total of $160, how many t-shirts did he o
KatRina [158]

Answer:

20 Tshirts

Step-by-step explanation:

Tshirts = $7.90 each

Shipping = $2

Total amount = $160

Amount of tshirts bought = y

7.90y + 2 = 160

7.90y = 160 -2

7.90y = 158

Divide both sides by 7.9

y = 158÷7.9

y = 20

5 0
3 years ago
Compound inequalities <br> 3&gt;11+k/4&gt;-3
Marat540 [252]

Answer:

−56<k<−32

Step-by-step explanation:

this is the right one

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2 years ago
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