The area of any regular polygon can be expressed as:
a(n,s)=(ns^2)/(4tan(180/n)), where n=number of sides and s=side length
(notice apothem is not needed :P)
a(6,5)=(6*5^2)/(4tan(180/6)
a(6,5)=37.5/tan30
a(6,5)≈64.95 units (to nearest hundredth of a unit)
Answer:
Step-by-step explanation:
A highway engineer wants to compute the change in elevation of a section of road. The horizontal distance of this section of road is 2km and downgrade is 8%
The slope formula is given by
m = 8% = 8/100
run = y = 2km
Verification:
%
Answer:
f = 10, g = 4.8 cm
Step-by-step explanation:
Area of ABCE = 60 cm²
Area of ABCD = 48 cm²
So,
Area of ADE = 60-48
=> 12 cm²
Area of ADE = 
<u><em>Where Area = 12 cm², Base = 4 cm</em></u>
12 = 
Height = 12-2
Height = 10 cm
Where Height is AD
So, AD = 10 cm
Also, <u><em>AD is parallel and equal to BC</em></u>
<u><em></em></u>
So,
f = 10 cm
<u><em>Now, Finding g</em></u>
Area of ABCD = 
<u><em>Where Area = 48 cm², Base = 10 cm</em></u>
48 = 10 * Height
Height = 48/10
Height = 4.8 cm
Whereas, Height is g
So, g = 4.8 cm
Steps to find the equation
1. Find the slope
2. Insert slope into the general equation
3. Find y-intercept
4. Insert -intercept into the equation found in step 2
And you get the equation of the line
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Find the slope
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2y - x = 4
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Rewrite into the form y = mx + c
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2y = x + 4
y = 1/2 x + 2
Slope = 1/2
Perpendicular slope = -2 (negative reciprocal)
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Insert slope into the equation
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y = mx + c
y = -2x + c
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Find y-intercept
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y = -2x + c
At point (1, 2)
2 = -2(1) + c
2 = -2 + c
c = 4
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Insert y-intercept into the equation y = -2x + c
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y = -2x + 4
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Answer: y = -2x + 4
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Answer:
none of the above
Step-by-step explanation:
There are 14 holes * 2/4 per holes
14 * 2/4 = 7
7 tons
