trillred
15.02.2021 •
Mathematics
Winston has a savings in a bank and was surprised that his money
accumulated to P 65.000 after 3 years. He knew that the bank offered him 5%
interest rate compounded bimonthly. How much was his sayings at the start?
Solved
Show answers
More tips
Answers on questions: Mathematics
- B Biology 13. In what region of the world was Krakatoa located?...
- H History What type of leadership qualities did Nathan Hale have?...
- M Mathematics I really need help on this. what is the answer?...
- C Chemistry Potential Energy Quiz 2 1. A wonka bar is on a shelf and has 150J gravitational potential energy (GPE). The chocolate bar is 2.5 m above the floor, what is the mass?...
Ответ:
6 +2√3 ft²
Step-by-step explanation:
Given a triangular pyramid with ...
an equilateral triangular baselateral edge length 2 ftlateral area 6 ft²Find
total surface areaSolution
Since corresponding edges are the same length, the area of each of the three faces is (6 ft²)/3 = 2 ft². This can be computed by ...
A = (1/2)s²·sin(α)
where s is the lateral edge length and α is the angle at the apex formed by the two edges that meet there. Filling in the given values, we find ...
2 ft² = (1/2)(2 ft)²·sin(α)
1 = sin(α) ⇒ α = 90°
That is, each face of the pyramid is an isosceles right triangle with legs of length 2 ft. The hypotenuse of that triangle, the base edge of the pyramid, is then 2√2 ft.
So, the base is an equilateral triangle with edge lengths 2√2 ft. Its area can be computed from ...
A = (√3)/4·s²
where s is the edge length of the equilateral triangle. That is, the base area is ...
A = (√3)/4·(2√2)² = 2√3 . . . . square feet
So, the total surface area of the pyramid is ...
(6 +2√3) ft² ≈ 9.4641 ft² . . . . . total surface area