Answer:
942.5 in²
Step-by-step explanation:
The formula for the area (A) of a sector of a circle is
A = ½r²θ
where θ is the angle in radians.
1. Convert the angle to radians
θ = 125°
2. Area swept out by wiper arm
A = ½r²θ = ½ × (30 in)² × θ = ½ × 900 in²× θ = 450 θ in²
3. Area missed by wiper
A = ½r²θ = ½ × (6 in)² × θ = ½ × 36 in²× θ = 18 θ in ²
4. Area covered by wiper
A = 450 θ in² - 18 θ in² = 432 θ in²
5. Insert the value of θ
A = 432 × 25/36 π in² = 300π in² ≈ 942.5 in²
The area swept out by the wiper blade is 942.5 in².
15/4 would be your answer
Answer:
the process by which green plants turn carbon dioxide and water into food using energy from sunlight
5 = side a
3 = side c
angle B = 62 degrees
JK is side b
<span><span>Use the Law of Cosines to find the length of side b.</span><span>
<span>b^2 = </span><span>a^2 + c^2 − 2ac cos(B)</span></span><span> <span>
b^2 = </span><span>(5^2 + 3^2) − ( 2 x 5 x 3) cos(62°)</span></span><span> <span>
b^2 = </span>(25 + 9) − 30 x 0.469</span><span> <span>
b^2 = </span>34 - 30 x 0.469</span><span> <span>
b^2 = </span>34 - 14.084</span><span> <span>
b^2 = </span>19.916</span><span>
b = √19.916</span><span>
b = 4.463
Rounded to the nearest tenth is 4.5 mm.
Hope this helps!</span></span>
