<u>Given </u><u>:</u><u>-</u>
- Circle's centre is at origin.
- The radius is 5 u .
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>
- The equation of the circle .
<u>Answer</u><u> </u><u>:</u><u>-</u>
As we know that the general equation of circle centred at origin is ,
where r is the radius .Here r =5 , So ,
Answer:
<u>Ravi</u> and <u>Courtney</u>
Step-by-step explanation:
<u>Simplifying the equations</u>
<u>Penny</u>
<u>Ravi</u>
- 2x + 3y = 3
- 3y = -2x + 3
- y = -2/3x + 3
<u>Courtney</u>
- -4x - 6y = -6
- 6y = -4x + 6
- y = -2/3x + 3
<u>Edwin</u>
- 6x + 6y = 9
- 6y = -6x + 9
- y = -x + 9
<u>Ravi</u> and <u>Courtney</u> would have infinitely many solutions because they are the same equation.
<h2>Solving Inequalities</h2><h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
The values of has to be less than or equal to so
Answer:
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x
Step-by-step explanation:
From the given triangle JKL;
Hypotenuse KJ = 10.9
Length LJ is the opposite = 8.9cm
The angle LKJ is the angle opposite to side KJ = x
Using the SOH CAH TOA Identity;
sin theta = opp/hyp
sin LKJ = LJ/KJ
Sinx = 8.9/10.9
x = arcsin(8.9/10.9)
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x
Perimeter of the trapezoid
To find the perimeter, you add the lengths and widths of all the sides of the shop.
Hence, the perimeter is
P = (17 + 25 + 17 + 55) in = 114 in.
Therefore, the perimeter is 114 in.
Area
To find the area, you use the formula
where,
Therefore,
Hence, the area of the trapezoid framed shop is 320in².
b) The frame has to do with perimeter and the glass would be the area because the area covers everything inside the frame.
Hence, the answer is Option D.