Answer:
Benjamin need 28.39 feet of fencing for the longest side
Step-by-step explanation:
Let
x ----> the longest side of the right triangular garden (hypotenuse of the right triangle)
we know that
In the right triangular garden
----> by CAH (adjacent side divided by the hypotenuse)
see the attached figure to better understand the problem
solve for x
![x=\frac{12}{cos(65^o)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B12%7D%7Bcos%2865%5Eo%29%7D)
![x=28.39\ ft](https://tex.z-dn.net/?f=x%3D28.39%5C%20ft)
Answer:
b = 72
c = 36
d = 144
Step-by-step explanation:
As every angle in the pentagon are equal (the lines inside every angle mean they are equal), angles on a straight line must add up to 180° ∴
A = 108°
108 + b = 180
180 - 108 = b
72 = b
As the top left angle of the triangle is also on a straight line with one of these angles, the value of this angle is also 72°.
All angles in a triangle must add up to 180° ∴
72 + 72 + c = 180
144 + c = 180
c = 180 - 144
c = 36
Angles on a straight line must add to 180° ∴
d + c = 180
d + 36 = 180
d = 180 - 36
d = 144
Hope this helps!
Answer:
Step-by-step explanation:
Width of the room in the drawing = x
1 : 3 :: x : 18
Product of means = Product of extremes
3 * x = 18 *1
x = 18 ÷ 3
x = 6
Width of the room in the drawing = 6 inches