Explanation:
1. The set of points 5 cm from the nearest point on a circle of radius 2 cm will be a circle with a radius 5 cm larger: a circle with a radius of 7 cm.
__
2. The set of points 6 in from the nearest point on a line will be a cylindrical shell 12 inches in diameter centered on the line.
If AB is a line segment, then the shell will have hollow hemispherical ends of radius 6 inches about the end points.
1 yard = 3 feet
2.5×18=45 feet
45÷3= 15 yards
<u>Given:</u>
The angle of elevation from the point on the ground to the top of the tree is 34° and the point is 25 feet from the base of the tree.
We need to determine the height of the tree.
<u>Height of the tree:</u>
Let the height of the tree be h.
The height of the tree can be determined using the trigonometric ratio.
Thus, we have;

Substituting the values, we get;

Multiplying both sides by 25, we have;



Rounding off to the nearest tenth of a foot, we get;

Thus, the height of the tree is 16.9 feet.
Hence, Option B is the correct answer.
Answer:
C : $58.36
Step-by-step explanation:
Given:
A store holiday sale has an item marked down by $10.
Discount on new price = 25%
Final price was $36.27.
Question asked:
what was the original ?
Solution:
Let original price = 
New price = 
Original price - marked down amount - discount amount = $36.27


Adding both side by 7.5

Dividing both side by 0.75

Therefore, the original price was $58.36