Answer:
11700 mm²
Step-by-step explanation:
A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.
The horizontal distance of the rectangle = r + r + r + r = 4r
The vertical distance = r + h + r = 2r + h
Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.
Using Pythagoras:
(2r)² = h² + r²
h² + r² = 4r²
h² = 3r²
h = √3r²
h = r√3
Vertical distance = 2r + h = 2r + r√3
Area of rectangle = vertical distance * horizontal distance
Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)
Substituting:
Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²
Area = 11700 mm² to 3 s.f
Answer:
The line segments AB and CD are perpendicular to each other.
Step-by-step explanation:
Segment AB falls on line 2x − 4y = 8.
Rearranging the equation into slope-intercept form we get, ............. (1)
Therefore, slope of the line segment AB is
Now, the segment CD falls on line 4x + 2y = 8.
Rearranging the equation into slope-intercept form we get, ............. (2)
Therefore, the slope of the line segment CD is, N = - 2
So, M × N =
Hence, we can conclude that the line segments AB and CD are perpendicular to each other
Hi there!
We can use the following equation:
z = amount of standard deviations away a value is from the mean (z-score)
σ = standard deviation
x = value
μ = mean
Plug in the knowns for both and rearrange to solve for the mean:
Other given:
Set both equal to each other and solve:
I believe your answer is B
There's no such factors that will evenly divide into 86 ao ther for 86 is a improper number when it comes to product .
- Hopee this helps u in anyway .
