√5 (10-4√2)
=10√5-4√10
The answer is D
Answer:
Area of sector = 84.861
Step-by-step explanation:
Given
The radius of the circle = 9
central angle of sector = 
value of pi π = 3.143
To find : the area of sector = ?
We know that the formula to calculate area of sector is given as:
area of sector = (π
Θ)/ 
where, r is radius and Θ is the central angle of the sector
Substituting the known values in above formula, we get
area of sector = (3.143 x
x
) / 
= 84.861
Hence area of sector is 84.861
Answer:
(-239.4, 657.8) km/h
Step-by-step explanation:
Measured CCW from the +x axis, the angle at which the airplane is traveling is 110°. Then the (x, y) components of the velocity vector are ...
(700 km/h)(cos(110°), sin(110°)) ≈ (-239.4, 657.8) km/h
Answer:
384√3 in²
Step-by-step explanation:
Given in the question a regular 6 sided polygon
To find it's area you have to use the following formula
<h3> 1/2 x perimeter x apothem</h3>
<em>Perimeter = the sum of the lengths of all the sides </em>
<em>Suppose length of one side = x</em>
<em>Apothem = a segment that joins the polygon's centre to the midpoint of any side that is perpendicular to that side = 8√3</em>
<em />
Since the polygon have 6 sides so
perimeter = 6x
<h3>x = 2(8√3)/√3</h3>
x = 2(8)
x = 16
perimeter = 6(16) = 96 in
plug values in the formula of area
<h3>1/2 x 96 x 8√3</h3>
384√3 in²
Answer:
y = 2x² + 16x + 11
Step-by-step explanation:
first foil (x + 4)² to get x² + 8x + 16
distribute 2 to get 2x² + 16x + 32
subtract 21 from 32