Hey there!
1. 5(s-2) This is because s-2 is the length of each side, and there are 5 sides in a pentagon all of that length, so multiplying it by 5 like this shows its perimeter.
2. 5s-10 This can be found by distributing the first equation, multiplying both s and -2 by 5.
3. (s-2) + (s-2) + (s-2) + (s-2) + (s-2) Each grouping in the parenthesis represents each of the 5 sides, so adding them all together will get you the perimeter.
4. 5(s) + 5(-2) This one is most like the first one, except it's a little more spread out. Multiply the term s by the 5 sides in one grouping, and the integer -2 by 5 in the other.
Hope this helps!
The volume of the cake is 1470 in³.
volume of a cylinder = πr² x height
(Think about how a cylinder is basically a bunch of circles stacked on top of each other. To find the volume, first you need the area of the circle (πr², then you multiply by how many circles you are stacking on top of each other (height))
we know the diameter of the cylinder is 12 in. and the radius is half of the diameter.
half of 12 is 6, therefore the radius is 6 in. or r = 6
Assuming pi is 3.14, solve for the height of the cylinder
1470 = (3.14)(6²)(height)
1470 = 3.14 x 36 x height
1470 = 113.04 x height
height ≈ 13 in
Now that we know the height of the cylinder is about 13 in., we know the height of the cone, because the problem says that the height of the cone is half the height of the cylinder.
half of 13 is 6.5, therefore the height of the cone is 6.5
the radius of the cone is the same as that of the cylinder, 6 in.
volume of a cone = πr² × (height ÷ 3)
volume of the cone = (3.14)(6²)(6.5 ÷ 3)
volume of the cone = (3.14)(36)(2.16666)
volume of the cone = 244.92 in³
Now all that's left to find the volume of the whole cake is to add the volume of the cylinder to the volume of the cone.
1470 + 244.92 = 1714.92 in³
The length of the bottom beam =9.16 feet
<h3>What is Pythagoras theorem?</h3>
the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
Given : Total length of arm = 3.4+3.4=6.8 ft
Applying Pythagoras in triangle on right side we have,
H²=P²+ B²
6.8²= P² + 4.8²
46.24= P² +23.04
P²= 23.2
P= 4.81 feet
Similarly, on the triangle on left side.
Again we have the base as 4.81 feet.
Now, the length of the bottom beam= 4.81*2
=9.16 feet
Learn more about Pythagoras theorem here:
brainly.com/question/343682
#SPJ1
there is no answer because there is no .Th in what ever you ate trying to talk abput
Answer:
<h2>
9.8</h2>
Step-by-step explanation:
Brainliest please!
