What is the area of the trapezoid? If necessary, round your answer to the nearest tenth.
1 answer:
The area of the trapezoid is calculated as 45.5 feet squared.
<h3></h3>What does Area of Trapezoid mean?
The entire area occupied by the sides of a trapezoid is its area. It's important to notice that if we know the lengths of all the sides, we can divide the trapezoid into smaller polygons, such as triangles and rectangles, calculate their areas, and then sum them all together to determine the area of the trapezoid.
<h3>The formula for Trapezoid Area:</h3>If the parallel sides of the trapezoid are known, along with their height, it is possible to determine their area. It is expressed as,
A=(a+b) h
where, A= the area of the trapezoid
h= height
'a' & 'b' = parallel side bases
<h3>Solution:</h3>a=5.5 feet , b= 8.5 feet & h=6.5 feet
A=(a+b)h
∴A=(5.5+8.5)*6.5
⇒A=(14)*6.5
⇒A=7*6.5
⇒A=45.5 feet squared
Therefore, the solution is (b) 45.5 feet squared.
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Answer:
The amount of Polonium-210 left in his body after 72 days is 6.937 μg.
Step-by-step explanation:
The decay rate of Polonium-210 is the following:
(1)
Where:
N(t) is the quantity of Po-210 at time t =?
N₀ is the initial quantity of Po-210 = 10 μg
λ is the decay constant
t is the time = 72 d
The decay rate is 0.502%, hence the quantity that still remains in Alexander is 99.498%.
First, we need to find the decay constant:
(2)
Where t(1/2) is the half-life of Po-210 = 138.376 days
By entering equation (2) into (1) we have:
Therefore, the amount of Polonium-210 left in his body after 72 days is 6.937 μg.
I hope it helps you!