Answer:
14.2
Step-by-step explanation:
Hi there!
We are given a 30-60-90 triangle
The triangle is a right triangle, since one of the angles measures 90 degrees
We are also given that the length of the hypotenuse (the side OPPOSITE from the right angle) is 6
We want to find the perimeter of the triangle
There are special formulas to find the other sides of the triangle, if we know that:
a. the triangle is a right triangle
b. we know the length of the hypotenuse
These two formulas are:
- If the length of the hypotenuse in a triangle is a, then the length of the side OPPOSITE from the 30 degree angle is
![\frac{a}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B2%7D)
- The length of the side OPPOSITE from the 60 degree angle is
![\frac{a\sqrt{3} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5Csqrt%7B3%7D%20%7D%7B2%7D)
In this problem, we are given that a=6, so that means that in order to find the length of the other sides:
The length of the side opposite from the 30° angle: ![\frac{a}{2} = \frac{6}{2} = 3](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B2%7D%20%3D%20%5Cfrac%7B6%7D%7B2%7D%20%20%3D%203)
The length of the side opposite from the 60° angle:
, or about 5.2
Now, to find the perimeter, we add the lengths of these sides together.
6 + 3 + 5.2 = 14.2
Hope this helps!
The answer is 4, the equation for that and to get that answer would be 32 divided by 8
Notice that the pattern is "previous term plus 2". This is an arithmetic sequence where the difference (d) equals +2
= a₁ + d(n - 1) ; where a₁ is the first term, d is the difference, and n is the term.
f(n) = 1 + 2(n - 1)
f(n) = 1 + 2n - 2
f(n) = 2n - 1
********************************
f(10) = 2(10) - 1
f(10) = 20 - 1
f(10) = 19
Answer:
40.4
Step-by-step explanation:
I used a calculator