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3 years ago

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If a circle c with radius 1 rolls along the outside of the circle x2 + y2 = 36, a fixed point p on c traces out a curve called a

n epicycloid, with parametric equations x = 7 cos t − cos 7t, y = 7 sin t − sin 7t. find the area it encloses

1 answer:

STALIN [3.7K]3 years ago

3 0

I need to think on this one.

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A class ring cost $260.00. Lewis has $80.00 in a saving account and earns $20.00 a week babysitting. Write an equation to repres

garri49 [273]

Pretty sure it’s (260-80) divided by 20

6 0

3 years ago

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A room is 12 feet wide by 35 feet long. How far (in feet) is it from one corner of the room to the opposite corner measuring dia

Ugo [173]

Answer:

The Correct Answer is 37 feet long.

Step-by-step explanation:

The Calculator can confirm, if we know that the 2 sides small sides are 12 and 35 we know that the hypotenuse is 37 feet long, therefore your answer is...

37 feet long

Hope I Helps!

8 0

3 years ago

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What is the x intercept of the equation that passes through (1,-6) and is perpendicular to y=1/3x +1

fomenos

$\bf y=\stackrel{slope}{\cfrac{1}{3}}x+1\impliedby \textit{slope of this line, so a perpendicular will be}
\\\\\\
\textit{perpendicular, negative-reciprocal slope for}\quad \cfrac{1}{3}\\\\
negative\implies -\cfrac{1}{ 3}\qquad reciprocal\implies - \cfrac{ 3}{1}\implies -3\\\\
-------------------------------\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1\\
&&(~1 &,& -6~)
\end{array}$

$\bf slope = m\implies -3
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-6)=-3(x-1)
\\\\\\
y+6=-3x+3\implies 0+6=-3x+3\implies 3=-3x\implies \cfrac{3}{-3}=x
\\\\\\
-1=x\qquad \qquad \qquad \qquad \qquad \qquad \qquad (~-1~,~0~)$

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3 years ago

Luisa's current swimming record is 12% faster than it was last year. If her record last year was 4 minutes and 23 seconds, what

Elden [556K]

12% less since faster
100%-12%=88%

88% of 4 min and 23 sec=
0.88 times 263 seconds=
=231.44=3 minutes and 50 seconds rounded

3 mins, 50 seconds

7 0

3 years ago

Using the converse of Pythagorean Theorem and the law of sines and cosines solve the word problem.

Helga [31]

Answer:

It's the law of cosines

Step-by-step explanation:

law of cosines states that $c^{2} =a^{2} +b^{2} -2ab (cos(\alpha ))$

so we know that a = 7, b = 4, and alpha would be 135 degrees, so just plugging it in gets us 49+16-2*7*4*(-0.707) = 65 + 39.59 = 104.59

7 0

3 years ago