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Vesnalui [34]
3 years ago
13

How do you round the answers to 1 decimal for:

Mathematics
1 answer:
brilliants [131]3 years ago
6 0
It equals 24 sq ft 100 is in 24
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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
Someone please Solve 3 (x - 1) = 6. Thank you
kramer
We have an equation with parentheses. To make our lives easier, first get rid of the parentheses. We do this by using the distributive property.

It is used like this: a(b + c) = ab + ac.

Use the distributive property on the left-hand side.

3(x - 1) = 6
3x - 3 = 6

Now we have an equation that is easier.

The x variable is being multiplied by 3 and added to -3.
Reverse all of these operations with their inverse operation.

3x - 3 = 6
3x = 9 <--- I got rid of the -3 term by using the inverse of subtraction. Addition.
                  And I did the same for both sides to keep the equation true.
x = 3 <--- The inverse of multiplication is division.
                So, I divided both sides by 3.

So, x is equal to 3.
3 0
3 years ago
After the movie premiere 99 out of 130 people surveyed said they liked the movie. What is the experimental probability that the
Margaret [11]
Out of the 130 people surveyed, 99 people said they liked the movie. So to figure out the probability that the next person likes the movie, you divide 99 from 130. 
The answer is approximately 76%.
6 0
3 years ago
8. Evaluate 5y - 2x for x = 4 and y = 2.
kykrilka [37]

Answer:

2

Step-by-step explanation:

5y-2x

5(2)-2(4)

10-8=2

8 0
2 years ago
Read 2 more answers
Explain how you I got 0.16
dybincka [34]
So whats the question?
4 0
3 years ago
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