Which expression represents half of a number,n,plus 3?
1 answer:
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Answer:
x = 5.2
Step-by-step explanation:
Measure of interior angle of a regular polygon =
Here n = number of sides of the polygon
Interior angle of a regular pentagon =
= 108°
By applying cosine rule in ΔABK,
(BK)² = (AK)² + (AB)² - 2(AK)(AB)cos(108)°
(x + 3)² = 4² + 6² - 2(4)(6)cos(108)°
x² + 6x + 9 = 16 + 36 - (-14.83)
x² + 6x = 57.83
x² + 6x - 57.83 = 0
x =
x =
x ≈ -11.2, 5.2
Since, x can't be negative,
x = 5.2 will be the answer.
Answer:
40.2 Yards
Step-by-step explanation:
To find the diagonal length of the orchard, we need to use the Pythagorean Theorem. The formula of the Pythagorean Theorem is:
c²= a² + b²
a = 36 Yards
b = 18 Yards
Now let's plug in our values to the formula.
c² = a² + b²
c² = 36² + 18²
c² = 1296 + 324
c² = 1620
Now to find the value of c we need to get the square root of both sides.
c = 40.2
So the diagonal length of Mr. Richard's orchard is 40.2 Yards.