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Bezzdna [24]
2 years ago
5

A farmer is planning how to use the land in a rectangular field. The rectangle shown represents the field. a rectangle with the

bottom labeled 2.7 times 10 cubed feet and the right side labeled 3.5 times 10 cubed feet Part A) If half of the field is used to grow crops, what is the area of the portion of the field that has crops growing? Show every step of your work. (2 points) Part B) Write the final answer in scientific notation with the correct number of significant digits, and label with the correct units. (1 point) Part C) Explain how you chose the number of significant digits in the final answer.
Mathematics
1 answer:
UkoKoshka [18]2 years ago
8 0

a.  The area of the portion of the field that has crops growing is 4.7 × 10⁶ ft²

b. In scientific notation, the final answer is 4.7 × 10⁶ ft² to 2 significant digits

c. we choose our final answer to have the least significant digit of 2.

<h3>Part A) How to find the portion of the field that has crops growing?</h3>

Since the field is rectangle, the area of the field is given by A = LW where

  • L = length of field and
  • W = width of field.

Given that the field is a rectangle with the bottom labeled 2.7 × 10³ ft and the right side labeled 3.5 × 10³ feet.

The

  • length L = 2.7 × 10³ ft and
  • Width W = 3.5 × 10³ ft

Since the crops are grown on half of the field we have that the area of the crops is A' = A/2

= LW/2

= (2.7 × 10³ ft × 3.5 × 10³ ft)/2

= (9.45 × 10⁶ ft²)/2

= 4.725 × 10⁶ ft²

≅ 4.7 × 10⁶ ft² to 2 significant digits

So, the area of the portion of the field that has crops growing is 4.7 × 10⁶ ft²

<h3>Part B) Write the final answer in scientific notation with the correct number of significant digits, and label with the correct units. </h3>

So, in scientific notation, the final answer is 4.7 × 10⁶ ft² to 2 significant digits

<h3>C) Explain how you chose the number of significant digits in the final answer.</h3>

By the rule of multiplication of number, the result of the product of two numbers cannot have more significant digits than the number with the least significant digit.

So, since the least significant digit is 2, we choose our final answer to have 2 significant digits

So, we choose our final answer to have the least significant digit of 2.

Learn more about scientific notation here:

brainly.com/question/27862246

#SPJ1

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