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Given: NB = 12 ft, Angle-120°<span>
Asked: area of the region that is not shaded.
Substitute the given values in the equation in finding the area of a circle.
</span>A = πr²
<span>A = ⅔π(12 ft)² </span>
<span>A = 96π ft²
(Since </span>120° is 1/3 of the circle. it is then understood that the unshaded parts must be 2/3 of the circle.)
Since you already have the area, find the area of the triangle to add it to the area of the circle to find the area of the unshaded part. By using a handy trigonometry, you can tell that their will be 2 triangles of 12 ft (if you are going to divide 120° angle). From this, you'll see that there will be one of the smaller triangles having a <span> the height of 6 ft and the base is 6√3 ft. Substitute the values.</span>
A = ½bh
<span>A = ½(6 ft)(6√3 ft) * 2 </span>
<span>A = 36√3 ft²
</span>
Add them up and you will have the exact answer 96π + 36√3 ft², when rounded to the nearest tenth, you will have <span> 364 ft². </span>
Isolate "x" on one side of the algebraic equation by dividing the number that appears on the same side of the equation as part of "x."
Explanation:
The slope-intercept form of a line is:
y=mx+b
where:
m is the slope of the line
b is the y-intercept
We are given that m=4 and the line passes through (7,2).
∴2=4⋅7+b
2=28+b
b=−26
Therefore the equation of the line is:
y=4x−26
graph{y=4x-26 [-1.254, 11.23, -2.92, 3.323]}
Answer:
2500 kg
Step-by-step explanation:
Given:
• Force produced by the truck = F = 15,000 Newtons Acceleration of the truck = a = 6 m/s²
To find:
Mass of the truck if force is 15000 newtons and acceleration is 6 m/s²
Formula:
Force = Mass Acceleration
Substituting the above values:
15000N Mass×6
Mass = 15,000/6
Mass = 2500 kg
Answer:
x = 41 , y = 139
Step-by-step explanation:
x and 41° are alternate exterior angles and are congruent , so
x = 41
x and y are a linear pair and sum to 180° , that is
x + y = 180
41 + y = 180 ( subtract 41 from both sides )
y = 139
