Given:
A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13.
To find:
The total surface area of the prism.
Solution:
We have,
Height of prism = 7½ = 7.5
Sides of triangular base are 5, 12, 13. These sides of Pythagorean triplets because



So, the base of the prism is a right triangle.
Area of a triangle is



The area of the base is equal to the area of the top, i.e.,
sq units.
Perimeter of the base is


The curved surface area of the prism is



Now, the total area of the prism is



Therefore, the total surface area of the triangular prism is 285 square units.
Answer:
Given sequence is not a geometric progression and there will be no common ration for this sequence.
Step-by-step explanation:
Need to determine common ration for the following geometric sequence
32, 8, 2, 12, ...
In given geometric sequence
a1 = 32, a2=8, a3=2, a4=12 ……….
Common ratio = 



Since
so we can say that given sequence is not a geometric progression and there will no no common ration for this sequence.
Answer: The answer is A
Step-by-step explanation: The answer is A because he is try to spread awareness for global warming which is informative.
Answer:
The answer is 114 which is the first answer which is A
Step-by-step explanation:
The rest 99, 87, and 25 just dont
Hope this helps you
Answer:
51.63m^3
Step-by-step explanation:
The figure is made up of a rectangle, triangle and a semi circle
Area of the figure = Area of triangle + rectangle + semicircle
Area of the triangle = 1/2 * base * height
Area of the triangle = 1/2 * 3 * 5
Area of the triangle = 15/2
Area of the triangle = 7.5m^3
Area of the rectangle = Length * Width
Area of the rectangle = 6 * 5
Area of the rectangle = 30m^2
Area of the semicircle = πr²/2
Area of the semicircle = π(3)²/2
Area of the semicircle = 3.14(9)/2
Area of the semicircle = 3.14 * 4.5
Area of the semicircle = 14.13m^2
The area = 30 + 14.13+7.5
Area of the figure = 51.63m^3