The area of the given trapezoid is 60 square inches.
Step-by-step explanation:
Step 1:
The trapezoid's area is calculated by adding the base lengths and multiplying it with the trapezoid's height and ![\frac{1}{2} .](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20.)
The trapezoid's area, ![A = (sum of the lengths)(\frac{height}{2})](https://tex.z-dn.net/?f=A%20%3D%20%28sum%20of%20the%20lengths%29%28%5Cfrac%7Bheight%7D%7B2%7D%29)
Here the sum of the base lengths is given as 15 inches.
Step 2:
In the given problem, the sum of the base lengths is 15 inches and the height of the trapezoid is 8 inches.
The trapezoid's area ![A = (15)(\frac{8}{2} )= (15)(4) = 60.](https://tex.z-dn.net/?f=A%20%3D%20%2815%29%28%5Cfrac%7B8%7D%7B2%7D%20%29%3D%20%2815%29%284%29%20%3D%2060.)
So the area of the given trapezoid is 60 square inches.
Answer:
![C=69.1^{\circ}](https://tex.z-dn.net/?f=C%3D69.1%5E%7B%5Ccirc%7D)
Step-by-step explanation:
The Law of Cosines is given as:
.
Plugging in given values, we get:
.
Answer: the length of the shortest side is 15ft.
the length of the shorter or third side is 18ft
the length of the longest side is 26ft
Step-by-step explanation:
Let x represent the length of the shortest side of the triangular section.
Let y represent the length of the third or shorter side of the triangular section.
Let z represent the length of the longest side of the triangular section.
The perimeter of the triangular section is 59 ft. It means that
x + y + z = 59 - - - - - - - - - -1
the longest side of a triangular section is 4 ft shorter than twice the shorter side. It means that
z = 2x - 4
the third side is 3 feet longer than the shortest side. It means that
y = x + 3
Substituting z = 2x - 4 and y = x + 3 into equation 1, it becomes
x + x + 3 + 2x - 4 = 59
4x - 1 = 59
4x = 59 + 1 = 60
x = 60/4 = 15ft
y = x + 3 = 15 + 3
y = 18 ft
z = 2x - 4 = 2 × 15 - 4
z = 26
-x/2<-1
-x<-2
x>2
hope that helps
Answer:
a.
y= 40x +4000
x= 100 --> y= 40(100)+4000= 4000+4000=8000
x=200 --> y= 40(200)+4000= 6000+4000= 10000
x=300 --> y= 40(300)+4000= 12000+4000= 16000
(in $)
b.
y= 40x+4000
6200= 40x+4000
6200-4000= 40x
2200= 40x
2200/40= x
55= x
(in unit)
Step-by-step explanation:
I hope this helps
if u have question let me know in comments ^_^