Y+3=1/2•(x+8) (point slope form)
should be correct
133.25 is the awnser for this question
The radius of the sector of the circle with the given area is: B. 3.
<h3>What is the Area of a Sector?</h3>
Area of sector of a circle = ∅/360 × πr².
Given the following:
Area of sector = 9/8 π cm².
∅ = 45 degrees
Plug in the values into the formula
9/8π = 45/360 × πr²
1.125 = 0.125 × r²
1.125/0.125 = r²
9 = r²
r = 3 cm
Learn more about the area of sector on:
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Since in a pass code, the placement of the digits is
important, therefore this means that to solve for the total number of
possibilities we have to make use of the principle of Permutation. The formula
for calculating the total number of possibilities using Permutation is given
as:
P = n! / (n – r)!
where,
n = is the total amount of numbers to choose from = 20
r = is the total number of digits needed in the passcode =
4
Therefore solving for the total possibilities P:
P = 20! / (20 – 4)!
P = 20! / 16!
P = 116,280
<span>Hence there are a total of 116,280 possibilities of pass
codes.</span>
