The equation of the circle is given as (x-h)² + (y-k)² = r². Then the value of y will be ± √5/3.
<h3>What is an equation of a circle?</h3>
A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at (h, k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x-h)² + (y-k)² = r²
The equation of the circle has the center at the origin and the radius is one unit. Then we have
x² + y² = 1
The point P = (-2/3, y) lies on the unit circle. Then the value of y will be
(-2/3)² + y² = 1
y² = 1 - 4/9
y² = 5/9
y = ± √5 / 9
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Answer:
a. 96 in²
Step-by-step explanation:
The surface area of the prism = the sum of the area of each part of the net shown
✔️Area of the 2 equal triangles = 2(½*b*h)
b = 4 in
h = 3 in
Area of the two triangles = 2(½*4*3) = 12 in²
✔️Area of the rectangle 1 with the following dimensions:
L = 7 in
W = 3 in
Area = L*W = 7*3 = 21 in²
✔️Area of the rectangle 2 with the following dimensions:
L = 7 in
W = 4 in
Area = L*W = 7*4 = 28 in²
✔️Area of the rectangle 3 with the following dimensions:
L = 7 in
W = 5 in
Area = L*W = 7*5 = 35 in²
✅Surface area of the prism = 12 + 21 + 28 + 35 = 96 in²
Answer:
Hello,
answer C
Step-by-step explanation:
SA=2pir^2+2hpir=2pir(r+h)
h=2r=2(2x+3)=4x+6
SA=2pi(2x+3)(2x+3+4x+6)
SA=(4x+6)(pi)(6x+9)
SA=24πx²+27πx+54π
