<span>With AB tangent at D, where AD = OD = 4
, triangle OAD forms a right angle with sides measuring 4 and 4.
So, the area of triangle OAD is computed as 1/2 * 4 * 4 = 8
The angles AOD and DAO equal 45 degrees.
Therefore, the area of circular sector OCD is calculated as the area of circle O multiplied by 45/360
= pi * 4 * 4 * 45/360
= 2pi
The shaded area ACD results from the triangle OAD minus the area of circular sector OCD
= 8 - 2pi
= 1.72
</span>
To find the total distance Isla walked, multiply 3/4 of a mile by 2 since it was a round trip. The result is 1.5 miles.
Answer: To eliminate the y terms and solve for x with minimum steps, we should multiply the first equation by 9 and the second equation by -4.
Step-by-step explanation:
Given: Equation (1) 5x − 4y = 28
Equation (2) 3x - 9y = 30
To eliminate the y-terms and determine x in the fewest operations, it requires us to multiply equation (1) by 9 and equation (2) by -4 to have
9(5x − 4y) =9 (28) ⇒ 45x - 36y = 252
-4(3x - 9y) = -4(30) ⇒ -12x + 36y = -120
By adding both equations together, the y-term is eliminated, leading to 45x - 12x = 132
⇒ 33x = 132 ⇒ x = 4.
