The formula to use is
n = 360/E
where
n = number of sides
E = measure of exterior angle
In our case, E = 15 so
n = 360/E
n = 360/15
n = 24
This regular polygon has 24 sides
The probability that jim will win = P(A) = 1/9
<h3>What is probability?</h3>
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
<h3>According to the given information :</h3>
The odds in favor of jim beating a friend at golf are = 1:8
Let A be the event that Jim beating a friend golf.
So,
according to ratio, it becomes
P(A)/P(A') = 1/8
P(A) = 1x
P(A') = 8x
we know that :
P(A) + P(A') = 1
x + 8x = 1
9x = 1
x = 1/9
so that
P(A) = 1/9
P(A') = 8/9
the probability that jim will win = P(A) = 1/9
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A. 37/100
b. 736. 3300/160 is 20.215
20.215x37 =
736. hope this helped
Lets first convert everything to inches.
6 feet= 12*6 = 72 + 10 = 82 inches
8 feet= 12*8 = 96+9 = 105 inches
Now add!
82+105 = 187
Now convert them back to feet.
187/12 = 15 feet
12*15 = 180
187 - 180 = 7 inches
15 feet. 7 inches.
Final answer: B. 15 ft. 7 in.
Answer:
(a) 12.96 ft²
(b) 21.5 in²
Step-by-step explanation:
(a) For the first diagram
Area of the shaded region (A) = Area of Tripezium- area of circle
A = [1/2(a+b)h]-[πr²]............... Equation 1
Where a and b are the parallel side of the tripezium respectively, h = height of the tripezium, r = radius of the circle.
From the diagram,
Given: a = 15 ft, b = 6 ft, h = 12 ft, r = h/2 = 12/2 = 6 ft.
Constant: π = 3.14
Substitute these values into equation 1
A = [12(15+6)/2]-(3.14×6²)
A = 126-113.04
A = 12.96 ft²
(b) For the second diagram,
Area of the shaded region (A') = Area of square- area of circle
A' = (L²)-(πr²)............. Equation 2
Where L = lenght of one side of the square, r = radius of the circle
From the diagram,
Given: L = 2r = (2×5) = 10 in, r = 5 in
Substitute these values into equation 2
A' = (10²)-(3.14×5²)
A' = 100-78.5
A = 21.5 in²
