Answer:
A = 549.9 cm²
Step-by-step explanation:
Use the equation for surface area of a hexagonal prism
A = 6(5)(14) + 3√3 (5)² Multiply and simplify the exponent
A = 420 + 5.196(25) Multiply
A = 420 + 129.9 Add
A = 549.9 cm²
<h3>
Look at the picture.</h3>
<em>commutative property</em> a + b = b + a
... (-5 + 1/2 + 5) = ... (-5 + 5 + 1/2)
<em>inverse property of addition</em> a + (-a) = a - a = 0
... (-5 + 5 + 1/2) = ... (0 + 1/2)
<em>identity property of addition</em> a + 0 = 0 + a = a
... (0 + 1/2) = ... 1/2
<em>inverse property of multiplication</em> a/b · b/a = 1
37 · 2 · 1/2 = 37 · 2/1 · 1/2 = 37 · 1
<em>identity property of multiplication</em> a · 1 = 1 · a = a
37 · 1 = 37
Answer:
Step-by-step explanation:
We need to first find the perimeter of this oddly-shaped rink. We have a rectangle for which we are enclosing 3 of its sides, and the fourth "side" is a half-circle. Let's find the perimeter (or circumference) of the circle, divide it in half because we have half a circle, then add in the remaining 3 sides from the rectangle, shall we?
C = πd. The diameter of the circle is the same as the shorter length in the rectangle, 26. Therefore,
C = (3.14)(26) so
C = 81.64 m for a whole circle, and for half of that circle, the circumference is
C = 40.82 m
Now we can find the perimeter of the rink:
40.82 + 61 + 26 + 61 = p so
p = 188.82 m
If the fencing costs $6.20 per meter and we have 188.82 m, then the total cost is
. The label "meter" cancels out, leaving us with
cost = $1170.82
an = 2n
1 = 2(1) = 2
2 = 2(2) = 4
3 = 2(3) = 6
4 = 2(4) = 8
so, the first four terms are 2 , 4 , 6 , 8.
C. By three feet 7x5=35 area 7x10=70 area 7+3=10