Answer:
y = 81°
Step-by-step explanation:
let the 5 th angle in the pentagon be x
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5, then
sum = 180° × 3 = 540°
sum the angles and equate to 540
x + 95 + 125 + 116 + 105 = 540
x + 441 = 540 ( subtract 441 from 540 )
x = 99°
x and y are adjacent angles and supplementary, sum to 180° , that is
x + y = 180°
99° + y = 180° ( subtract 99° from both sides )
y = 81°
Answer:
the balance after 5 years is: 26540.744
Step-by-step explanation:
Given the information:
- P = initial balance = $ 20,000
- r = interest rate (decimal) = 5% = 0.05
- n = number of times compounded annually = 4
- t = time = 5
We have the compound interest function ta model the situation is:

<=> A =
<=> A = $26540.744
Hence, the balance after 5 years is: $26540.744
First you need to fill in the variables with what you already know, so
t=2m+40.
You don’t have enough information to solve this problem. You need to have only 1 variable to solve it or you need more information
Answer:
The height of tree is approximately 121.5 feet.
Step-by-step explanation:
We are given following in question:
Length of shadow = 150 feet
Angle of elevation of the sun =

The tree and the shadow forms a right angled triangle.
Thus, with the help of trigonometric relation, we can write:

Let x feet be the height of tree.
Putting all the values, we get,

Thus, the height of tree is approximately 121.5 feet.