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°
![\theta = 125^{\circ} \times \dfrac{\pi \text{ rad }}{180^{\circ}} =\frac{25}{36} \pi\text{ rad}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20125%5E%7B%5Ccirc%7D%20%5Ctimes%20%5Cdfrac%7B%5Cpi%20%5Ctext%7B%20rad%20%7D%7D%7B180%5E%7B%5Ccirc%7D%7D%20%3D%5Cfrac%7B25%7D%7B36%7D%20%5Cpi%5Ctext%7B%20rad%7D)
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.
Answer:
1 unique
Step-by-step explanation:
Given the angles of the triangle in the question, only one unique triangle can be formed.
This is because, if we look at the angles given, we can see that we have two of the angles equal.
This will give rise to the formation of an isosceles triangle which is a triangle in which two of the sides are equal in length
The equal angles made it in such a way that this is the only type of triangle that can be formed from the angles given
Answer:
Step-by-step explanation:
nine more then a number is eleven
let the number be n
n + 9 = 11 <=== ur equation
n = 11 - 9
n = 2
Fred's age is 13 years
Let
Fred's age = x
Jack's age = 2x + 4
After 8 years:
- Fred's age = x + 8
- Jack's age = 2x + 4 + 8
= 2x + 12
Sum of their ages = Fred's age + Jack's age
59 = (x + 8) + (2x + 12)
59 = x + 8 + 2x + 12
59 = 3x + 20
59 - 20 = 3x
39 = 3x
x = 39/3
x = 13 years
Therefore, Fred's age = 13 years
brainly.com/question/24371832
Answer 650
Explanation: subtract 437 from 1087