Answer:
Surveying a sample would be valid if the population contains a diverse group of people.
<h2>
The value of x "option A) 12.5" is required answer.</h2>
Step-by-step explanation:
In given figure,
Base (b) = 11 and Angle = 28°
To find, the value of x = ?
We know that,

Where, h is the hypotaneous = x
⇒ 
⇒ 
The value of
= 0.8829
⇒ x =
⇒ x = 12.458
⇒ x ≈ 12.5
∴ The value of x ≈ 12.5
Thus, the value of x "option A) 12.5" is required answer.
Answer:Area = 492.4 m²
Explanation:The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between these two sides)
This rule is illustrated in the attached image.
Now, we have:
AB = 40 m
BC = 25 m
angle B which is the angle included between AB and BC = 80 degrees
The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5*40*25*sin(80)
Area of triangle = 492.4 m²
Hope this helps :)