Answer:
9674.28 miles
Step-by-step explanation:
From the above question, we are given:
Central angle = 140°
Radius = 3960 miles
We are to solve for the distance = Arc length
The formula for Arc length when your central angle is in radians
r × θ
θ = 140°
Converting 140° to radians
140° × π/180 = 2.443rad
Hence,
3960 × 2.443 rad
= 9674.28 miles
The ship would travel 9674.28 miles.
Answer:
12.76% probability that there is exactly 1 reported crime on any given day.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
Statistics from the Riverside Police Department show that in the last 12 years there were 648 reported crimes in the city.
Each year has 365 days. We want the mean for a day. So
Find the probability that there is exactly 1 reported crime on any given day.
This is P(X = 1).
12.76% probability that there is exactly 1 reported crime on any given day.
Ok to start this problem you must list two numbers that add to 14
7 and 7
9 and 5
10 and 4
6 and 8
those are the numbers that we will use for now..
Now multiply each pair of numbers and see which one equals 45
7 * 7 = 49, no
9 * 5 = 45, YES
10 * 4 = 40, No
6 * 8 = 48, No
The numbers discovered are 9 and 5
Answer:
41,666.67m2
Step-by-step explanation:
Call W the Width and L the Length with 3 pieces.
The total length will be 2W + 3L
The Area is L*W
so,
A = L*W
2W+3L = 1000
Solve for L
3L = 1000-2W
L = (1000-2W)/3
subtitute for L into the first equation
A = L*W
A = W*(1000-2W)/3
A = (1000W - 2W^2)/3
Now, to find the max, set the 1st derivative = 0. I don't know if you know what that means, but...
dA/dW = 1000/3 - 4W/3 = 0
1000 - 4W = 0
W = 250 meters
Solve for L
2W+3L = 1000
500 + 3L = 1000
3L = 500
L = 166.67 m
Area = 250*500/3 = 41,666.67m2.
Answer:
perimeter = 12 miles
area = 6 square miles
Step-by-step explanation:
Since it makes a right triangle, use the Pythagorean Formula.
3^2+4^2=c^2
9+16=c^2
25=c^2
5=c, so the hypotenuse of the right triangle is 5.
Perimeter = 3+4+5 = 12 miles
area = 1/2bh (1/2 base times height)
=1/2x3x4
=6
Area = 6 square miles
