Step 1.
Calculate measure of angle α:

Step 2.
Calculate what fraction of the angle 360° is the angle α:

Step 3.
Calculate the circumference of the Earth (circle):

Step 4.
The length of arc is equal 1/40 of the circumference:


<h3>Answer: A) 628 miles</h3>
Given:
A prism with height 5 cm and equilateral triangular base with side 2 cm.
To find:
The total surface area of the prism.
Solution:
Area of an equilateral triangle is:

Where, a is the side length.
Putting
, we get




The base and top of the prism are congruent so their area must be equal.
The lateral surface area of the prism is:

Where, P is the perimeter of the base and h is the height of the prism.
The lateral surface area of the prism is:



Now, the total surface area is the sum of areas of bases and lateral surface area.




Therefore, the total surface area is 33.46 cm².
Answer:
24/30
48/60
96/120
Step-by-step explanation:
Answer:
y=4x-3
Step-by-step explanation:
Answer:
2x + 3y + 5z = 9
Step-by-step explanation:
The normal defines all the planes perpendicular to that vector. To isolate to a single plane, just apply the known point.
ax + by + cz = d
2x + 3y + 5z = d
2(1) + 3(-1) + 5(2) = 9