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ExtremeBDS [4]
3 years ago
15

Rafael counted a total of 40 white cars and yellow cars there are nine times as many white cars as yellow cars how many white ca

rs did Rafael count
Mathematics
1 answer:
natta225 [31]3 years ago
5 0
The answer probably 16 I don't really know
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Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 16 in the manner described. (En
ArbitrLikvidat [17]

Answer:

a) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t, b) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t, c) x = 4\cdot \cos \left(t+\frac{\pi}{2}  \right), y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right).

Step-by-step explanation:

The equation of the circle is:

x^{2} + (y-1)^{2} = 16

After some algebraic and trigonometric handling:

\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = 1

\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = \cos^{2} t + \sin^{2} t

Where:

\frac{x}{4} = \cos t

\frac{y-1}{4} = \sin t

Finally,

x = 4\cdot \cos t

y = 1 + 4\cdot \sin t

a) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t.

b) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t.

c) x = 4\cdot \cos t'', y = 1 + 4\cdot \sin t''

Where:

4\cdot \cos t' = 0

1 + 4\cdot \sin t' = 5

The solution is t' = \frac{\pi}{2}

The parametric equations are:

x = 4\cdot \cos \left(t+\frac{\pi}{2}  \right)

y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)

7 0
3 years ago
When the sum of twice a number and 4 is tripled the result is 72?
mafiozo [28]
The unknown value can be called x.
3(2x +4) = 72
6x +12 = 72
72 - 12 = 6x
6x = 60
x = 6x / 6 
x = 10

Hope This Helps You!
<span>Good Luck Studying :)</span>
7 0
3 years ago
What is the product of (4x-7)(4x+7)?
miskamm [114]
(a+b)(a-b)=a^2 - b^2
so

<span>(4x-7)(4x+7) = 16x^2 - 49

answer
</span>16x^2 - 49
6 0
3 years ago
Which of the following inequalities is correct?
almond37 [142]

Answer:

A

Step-by-step explanation:

because there variables represent 1 so 1 cant be bigger than one and the other two have real equations

6 0
2 years ago
Find the area of the triangle
Brrunno [24]

Answer:

the answer is 108 ft²

Step-by-step explanation:

multiple 18 to 6

5 0
2 years ago
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