What do the directions tell you to do? also did you take notes? refer back to them to help you understand more.
Answer:
The shortest side = 6
The third side = 9
The hypotenuse (the longest side) = 16
Step-by-step explanation:
First, let's establish the following based on the information given:
The shortest side = x
The third side = (x + 3)
The hypotenuse (the longest side) = (2x + 4)
The perimeter = 31
Since the perimeter is the total of all 3 sides, we are left with this equation:
(x) + (x + 3) + (2x + 4) = 31
From here, combine like-terms and solve for x.
(x) + (x + 3) + (2x + 4) = 31
(4x + 7) = 31
4x = 24
x = 6
Now that we know the value of x, we can apply this to the predetermined formulas to find the measurements of the remaining two sides.
The shortest side = 6
The third side = (x + 3) = 9
The hypotenuse (the longest side) = (2x + 4) = (2(6) + 4) = (12 + 4) = 16
To check, add all of the sides together to make sure they equal 31.
6 + 9 + 16 = 31
~Hope this Helps!~
Answer:
7
Step-by-step explanation:
It is the <span>The </span>Distributive property
Answer:
1414 kL
Step-by-step explanation:
The volume of the donut-shaped moat is the product of its surface area and depth. The area is the product of its centerline length and its width.
<h3>Moat area</h3>
The diameter of the centerline of the moat is (50 m -5 m) = 45 m. The length of that centerline is ...
C = πd = π(45 m) = 45π m
The area is this length times the width of the moat:
moat area = (45π m)(5 m) = 225π m²
<h3>Moat volume</h3>
The volume is the product of the area and the depth of the moat:
V = Ah = (225π m²)(2 m) = 450π m³ ≈ 1413.72 m³
1 cubic meter is 1000 liters, 1 kiloliter.
The volume of the moat is about 1414 kL.
