Answer:
The area of the hexagon is 108 cm².
Step-by-step explanation:
Consider the below figure attached with this question.
From the below figure we get
Length of rectangle = 12 cm
width of rectangle = 5 cm
It is given both triangles are identical.
Base of each triangle = 12cm
Height of each triangle = (13-5)/2 = 4 cm
Area of rectangle is
Area of rectangle is
Area of one triangle 24 cm². So, area of both triangle is
Area of hexagon = Area of rectangle + Area of both triangles
= 
= 
Therefore, the area of the hexagon is 108 cm².
Answer:
<em> Length of guy wire is 590.6 ft</em>
Step-by-step explanation:
The complete question is
A radio transmission tower is 210 feet tall. How long should a guy wire be if it is to be attached 8 feet from the top and is to make an angle of 20° with the ground. Give your answer to the nearest tenth of a foot.
height of tower = 210 ft
8 ft fro the top leaves 210 - 8 = 202 ft to the ground
This is an angle of elevation problem
the opposite is 202 ft
hypotenuse = ?
angle is 20°
using sin ∅ = opp/hyp
sin 20° = 202/hyp
0.342 = 202/hyp
hyp = 202/0.342 = <em>590.6 ft this is the length of the guy wire</em>
45+8.3 = 53.3
<span>45 - (2(8.3)) = 28.4
The value is </span> 28.4 <span>that is –2 standard deviations away from the mean.</span><span>
</span>
Answer:
1: X= 8, 2: 2/5 or 0.4
Step-by-step explanation:
1: 2(2x + 1) + x = x + 2x + 18
5x + 2 = 3x + 18
2x = 16
x = 8
2: 2x + x + 2x = 10 + x
5x = 10 + x
4x = 10
x = 4/10
x = 2/5
x = 0.4
A.) Equation of Perimeter of a rectangle (P) = 2(l + w)
48 = 2(9 + x)
B.) Solving: 48 = 2(9 + x)
48 = 18 + 2x
2x = 48 - 18
x = 30/2
x = 15
In short, Width would be: 15 inches
Hope this helps!
