Answer:
A) perimeter = 3 + 3 + 8 + 8 = 22 units
B) area = 3 x 8 = 24 units²
Step-by-step explanation:
The probability of hitting the black circle is closer to 0 than it is to 1. because: find area of circle ~ 3.14*r^2
which is 3.14 because the radius squared is 1. so 1*3.14= 3.14
and the area of the whiteness is 121.
subtract 3.14 from 121 and you get 117.86
this answer is closer to a 0 probability than the white space. the white space is closer to a probability of 1.
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Answer:
z - 2*x - 1.5*y = 0 maximize
subject to:
3*x + 5*y ≤ 800
8*x + 3*y ≤ 1200
x, y > 0
Step-by-step explanation:
Formulation:
Kane Manufacturing produce x units of model A (fireplace grates)
and y units of model B
quantity Iron cast lbs labor (min) Profit $
Model A x 3 8 2
Model B y 5 3 1.50
We have 800 lbs of iron cast and 1200 min of labor available
We need to find out how many units x and units y per day to maximiza profit
First constraint Iron cast lbs 800 lbs
3*x + 5*y ≤ 800 3*x + 5*y + s₁ = 800
Second constraint labor 1200 min available
8*x + 3*y ≤ 1200 8*x + 3*y + s₂ = 1200
Objective function
z = 2*x + 1.5*y to maximize z - 2*x - 1.5*y = 0
x > 0 y > 0
The first table is ( to apply simplex method )
z x y s₁ s₂ Cte
1 -2 -1.5 0 0 0
0 3 5 1 0 800
0 8 3 0 1 1200
Answer
81 tokens
Step-by-step explanation:
x+12-4=170
x+8=170
-8 -8
x=162
162/2=81 tokens
All angles in a triangle always equal 180 degrees, so to solve this problem you must set 8,3,4 equal to 180. 8x + 3x + 4x = 180. 15x = 180. 180/15 = 12. x = 12. Now you take the value of x and multiply it by the angle you are trying to find. 3(12) = 36.
The measure of the smallest angle is 36.
To check this problem, multiply all the angle ratios by the x value and if it equals 180, it is correct. 8(12) + 3(12) + 4(12) = 180.
