Answer:
12)
(9y +7)=(2y +98)( Because vertically opposite angle is always equal)
9y - 2y = 98-7
9y - 2y = 98-7
7y= 91
y =13
<em>ther</em><em>fore</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>1</em><em>3</em>
<em>(</em><em>9</em><em>y</em><em> </em><em>+</em><em> </em><em>7</em><em>)</em>
9*13+7
117+7
124
(2y +98)
2*13+98
26+98
124
The answer is 173 ft²
The area of the patio (A) is half of the area of the circle (A1) with a diameter of 21 ft:
A = A1/2
The area of the circle with radius r is:
A1 = π * r²
π = 3.14
We do not have the radius, but we know that it is a half of the diameter:
r = 21 ft / 2 = 10.5 ft
A1 = 3.14 * (10.5)² = 346.18 ft²
So, the area of the patio is:
A = A1/2
A = 346.18 ft² / 2
A = 173.09 ft² ≈ 173 ft²
We solve for the diameters of radius of the given circles by using the equation,
C = πD
or C = 2πr
where D and r are diameter and radius, respectively.
Solving,
C = 34.54 units
D = C/π = 34.54 units / 3.14 = 11 units
r = C / 2π = 34.54 units/2(3.14) = 5.5 units
C = 59.66 units
D = C/π = 59.66 units/3.14 = 19 units
r = D2 = 9.5 units
C = 23.236 units
D = 23.236 units/3.14 = 7.4 units
r = D/2 = 3.7 units
C = 23.376 units
D = 23.376 units / 3.14 = 7.4 units
r = D/2 = 3.7 units
C = 13.188 units
D = 13.188 units/3.14 = 4.2 units
r = D/2 = 2.1 units
