10(0.5x + 6) = 8
5x + 60 = 8
5x = 8 - 60
5x = -52
x = -52/5
x = -10.4
Answer:
69
Step-by-step explanation:
Perimeter = sum of all sides of a regular polygon = the number of sides*length of a side
Length of a side of the given regular hexagon = 3x + 5
Perimeter of hexagon = 6(3x + 5) = 6(3x) + 6(5) = 18x + 30
Length of a side of the given regular pentagon = 4x - 1
Perimeter of pentagon = 5(4x - 1) = 5(4x) - 5(1) = 20x - 5
Since we are told that the perimeter of the regular hexagon is the same as that of the regular pentagon, therefore:
18x + 30 = 20x - 5
Solve for x.
Subtract 20x from both sides
18x + 30 - 20x = 20x - 5 - 20x
-2x + 30 = -5
Subtract 30 from both sides
-2x+ 30 - 30 = -5 - 30
-2x = -35
Divide both sides by -2
x = -35/-2
x = 17.5
Length of a side of pentagon = 4x - 1
Plug in the value of x
4(17.5) - 1 = 70 - 1 = 69
length of a side of the pentagon = 69
Answer:
303.66 in²
Step-by-step explanation:
The area (A) of a trapezoid is
A = 
h (a + b)
where h is the perpendicular height and a, b the parallel bases
here h = 12.6, a = 19 and b = 29.2, so
A = 0.5 × 12.6 × (19 + 29.2)
= 0.5 × 12.6 × 48.2 = 303.66 in²
Answer:
Step-by-step explanation:
<em>Refer to picture.</em>
Let the distance to men are x and y and the distance between them is d.
The angle of depreciation is 27° and 30°, hence top angle of the triangle is 63° or 60°.
<u>Find the distance from the tower to men:</u>
- x = 20 tan 63° = 39.25 m
- y = 20 tan 60° = 34.64 m
<u>The distance between men is:</u>
- d =
<em>Note, all numbers are rounded</em>
Change the equation to slope intercept form: y= mx + b. m is slope and b is the y-intercept.
7x+4y=10
subtract 7x
4y=10-7x
divide by 4
y=(10-7x)/4
y=10/4-7x/4
simplify
y=5/2-7x/4
swap positions for correct form
y= -7/4x + 5/2
slope= -7/4
