Area = A
Side length = L = 29 cm
number of sides = n = 9
Apothen = a = 40 cm
A = nLa / 2 = 9*29cm*40cm / 2 = 5,220 cm^2
Answer: 5,220 cm^2
Answer:
Side BC= √5, AB = 2√5, altitude BH = 2
Step-by-step explanation:
In the figure attached let the side BH = h , AC = x , AB = y
We have to find the missing lengths of AB, AC, and BH.
Given sides are AH =4 and CH = 1
In ΔABC ⇒ x²+y²=5²
x²+y²=25------(1)
In ΔHBC ⇒ h² = x²-1² = (x²-1) ( Pythagoras theorem)
In ΔABH ⇒ h² = y²-16 ( Pythagoras theorem)
So h² = x²-1 = y²-16
x²-y² = 1-16 = -15------(2)
By addition of equation 1 and 2.
(x²+y²)+(x²-y²) = 25-15
2x² = 10
x² = 5 ⇒ x = √5
By putting the value of x in equation 1.
5 + y² = 25
y² =25-5 = 20
y = √20 = 2√5
Therefore side BH = h = √(x²-1) = √(5-1) = √4 = 2
Let w represent the width of the rectangle in cm. Then its length in cm is (3w+9). The perimeter is the sum of two lengths and two widths, so is ...
... 418 = 2(w + (3w+9))
... 209 = 4w +9 . . . . . . divide by 2, collect terms
... 200 = 4w . . . . . . . . subtract 9
... 50 = w . . . . . . . . . . divide by 4
... length = 3w+9 = 3·50 +9 = 159
The dimensions of this piece of land are 159 cm by 50 cm.
Answer:
The distribution of the time it takes to manufacture the products can be explained by the continuous Uniform distribution.
Step-by-step explanation:
An Uniform distribution is the probability distribution of outcomes that are equally likely, i.e. all the outcomes has the same probability of occurrence.
Uniform distribution are discrete and continuous.
A discrete uniform distribution describes the probability distribution of discrete random variable that assumes discrete values. For example, roll of a die.
A continuous uniform distribution describes probability distribution of continuous random variable that assumes values in a specified interval. For example, time it takes to reach school from home.
In this case let the random variable <em>X</em> be defined as the time it takes to manufacture a product.
To manufacture 1 unit the time taken is between 5 to 6 minutes.
Every value in the interval 5 - 6 has equal probability.
The distribution of the time it takes to manufacture the products can be explained by the continuous Uniform distribution.
The probability density function of a continuous Uniform distribution is: