To find the perimeter, you would add all the sides. Because we know the perimeter, we can represent this as an equation that needs solved.
362 = x + (2x) + (3x + 2), combine the like terms
362 = 6x + 2, subtract 2 from both sides
-2 -2
<u>360</u> = <u>6x</u>, divide both sides by 6
6 6
x = 60 feet
side 1 = 60 feet
side 2 = 120 feet
side 3 = 182 feet
check your work: 60 + 120 + 182 = 362 feet
In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument.
We have to find the volume of tank. The tank is in cuboid or rectangular prism shape
Volume = depth*height*width
= 12*24*18
= 5184 cubic inches
If you notice the picture below
the composite figure is just a trapezoid sitting on top of a rectangle
and then, the rectangle has a triangular hole in it
so.. get the area of the trapezoid
then get the area of the rectangle, which is just a 12x14
and then get the area of the triangle, which surely you know is 1/2 bh
then, subtract the triangle's area from the rectangle's area
and whatever is left, namely the difference, add that to the area of the trapezoid, and that's the composite's area
namely the area of the trapezoid plus the rectangle's, minus the triangle's
Answer: Choice B. 54degrees
Step-by-step explanation:
Angles 1 4 5 8 are equal and angles 2 3 6 7 are also equal. These two sets of angles of supplementary(you‘d get 180 by adding them).
so
13x+9=180-(5x+9)
by simplifying the equation youll get
18x+18=180
x=9
so angle 7(and therefore angle 6) equals
5*9+9=54