Answer:
x = 6.6
Step-by-step explanation:
Data obtained from the question include the following:
Angle X = 15°
Angle Y° = 23°
Side y = 10
Side x =..?
The value of side x can be obtained by using the sine rule as shown below:
x/Sine X = y/Sine Y
x/Sine 15 = 10/Sine 23
Cross multiply
x × Sine 23 = 10 × Sine 15
Divide both side by Sine 23
x = (10 × Sine 15) / Sine 23
x = 6.6
Therefore, the value of x is 6.6.
Answer:
y = 1 - x
Step-by-step explanation:
9x + 9y = 9 ( divide through by 9 )
x + y = 1 ( subtract x from both sides )
y = 1 - x
The area of the trapezoid is the product of the height and the average of the two bases:
<span>30 (25 + 33)/2 = 30 (58)/2 = 30 (29) = 870 square yd. </span>
<span>But we want to exclude the area of the fountain. </span>
<span>Since it's circular its area is π times the square of its radius, or 16π square yd. </span>
<span>So the area of the park, excluding the fountain, is </span>
<span>870 - 16π square yd, </span>
<span>or about 820 square yd.</span>
