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stealth61 [152]
3 years ago
13

For parametric equations x= a cos t and y= b sin t, describe how the values of a and b determine which conic section will be tra

ced.
Mathematics
1 answer:
saw5 [17]3 years ago
8 0

Step-by-step explanation:

x = a cos t, y = b sin t

cos t = x / a, sin t = y / b

cos² t + sin² t = 1

(x / a)² + (y / b)² = 1

If a = b, the conic section is a circle.

If a and b are different, the conic section is an ellipse.

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A circle with a radius of 5 cm has an area of 78.54 cm2. What constant, rounded to the nearest hundredth, do you get when the ar
Naily [24]

Answer:

3.14

Step-by-step explanation:

Area of a corcle is sexpressed as';

A = πr²

π = A/r²

π = 78.54/5²

π = 78.54/25

π = 3.1416

When the area is divided by radius the required constant is 3.14

3 0
3 years ago
6=1-2n+5 can you please solve it
stepan [7]

Answer:

n = 0

Step-by-step explanation:

6 = 1 - 2n + 5

6 = 6 -2n

0 = -2n

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3 0
3 years ago
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Elena L [17]

It is given that the two figures are similar. This means that mV is equal to mN, mW is equal to mO, and mX is equal to mP. The sum of the angles of a triangle is equal to 180 degrees.

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Substituting the known variables and the conditions given in the description of the similar triangles,

<span>                           44 + mW + 66 = 180</span>

<span>The value of mW in the equation is 70 degrees. </span>

3 0
3 years ago
What is the volume of the prism?
GREYUIT [131]

let's firstly conver the mixed fractions to improper fractions and then get their product.

\stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}} ~\hfill \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{2}\cdot \cfrac{5}{2}\cdot 6\implies \cfrac{270}{2}\implies 135

hmmm I take it that one can write that mixed as 135\frac{0}{2}.

is valid, not that it makes any sense.

5 0
2 years ago
G(x)=x-2<br> h(x) = 3x - 4<br> Find (g+hXG)
julsineya [31]

Answer:

3

x

2

X

−

10

x

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+

8

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+

g

Step-by-step explanation:

4 0
3 years ago
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