Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.
Answer:
30 60 90 triangle
the hypotenuse is twice the length of the shorter leg length.
Answer:
£162.35.
Step-by-step explanation:
Total of letters + packages = 300.
Number of packages = 300 * 16 / ( 16+59)
= 300 * 16/75
= 64
So number of letters = 300 - 64 = 236.
No. of first class letters = 236 * 1/4 = 59.
No. of 2nd class letters = 236 - 59 = 177.
Total cost
= 64*1.2 + 0.52*59 + 0.31*177
= 162.35.
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.