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melamori03 [73]
3 years ago
8

Identify the area of the figure rounded to the nearest tenth. PLEASE HELP!!

Mathematics
1 answer:
kirill115 [55]3 years ago
5 0

Split it up into 3 separate shapes.

Rectangle 1 = 15 x 3 = 45

Rectangle 2 = 3 x 5 = 15

Triangle = 1/2 x 5 x 3 = 7.5

Total area = 45 + 15 + 7.5 = 67.5 cm²

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Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that w varies Inversely with t thus generally speaking w∝\frac{1}{t}  since they are inverted, <u>otherwise</u> if they were proportionally varied then w∝t. This means that there is a constant value ( a ) for which w is inversely proportional to t and can be mathematically expressed as:

w=\frac{a}{t}        Eqn. (1)

Now since we are given the values of w=4 and t=\frac{5}{12}, we can plug them in Eqn. (1) and find our constant of proportionality a as follow:

w=\frac{a}{t}\\ \\a=wt\\\\a=(4)(\frac{5}{12} )\\\\a=\frac{5}{3}

Now that we have our constant we can find the new t value for the second value of w=5 as follow:

w=\frac{a}{t} \\\\t=\frac{a}{w}\\ \\t=\frac{\frac{5}{3} }{5}\\\\t=\frac{5}{15}\\ \\t=\frac{1}{3}\\

Therefore based on the options give, we can see that Option B. is correct since

t=\frac{5}{3w} and for w=5, then t=\frac{1}{3}

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Jenna has a piece of paper that is 84 square inches in area. It is 21/2 inches long. What is the length of the piece of paper in
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