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Questions and Answers
According to the provided formula, what calculation is needed to determine the required thickness of ice to support a given load?
According to the provided formula, what calculation is needed to determine the required thickness of ice to support a given load?
- Calculate the square root of the load in kilograms and then multiply by 0.38. (correct)
- Divide the load in kilograms by 0.38.
- Multiply the load in kilograms by 0.38.
- Calculate the square of the load in kilograms and then multiply by 0.38.
If the load is expressed using a 'V' symbol after 0.38, it implies that multiplication is required.
If the load is expressed using a 'V' symbol after 0.38, it implies that multiplication is required.
True (A)
Kaitlyn and her father have a combined mass of 125 kg. Write an expression to show how to calculate the required thickness of the ice.
Kaitlyn and her father have a combined mass of 125 kg. Write an expression to show how to calculate the required thickness of the ice.
0.38√125
According to the communication tip, the symbol '$\approx$' means 'approximately equal ______'.
According to the communication tip, the symbol '$\approx$' means 'approximately equal ______'.
If a square has an area of 144 square units, what is the length of one of its sides?
If a square has an area of 144 square units, what is the length of one of its sides?
Estimating the square root of numbers that are not perfect squares is possible
Estimating the square root of numbers that are not perfect squares is possible
What is the area of a square that measures 15 cm by 15 cm?
What is the area of a square that measures 15 cm by 15 cm?
If the area of a square is known, the side length can be determined by finding the ______ root of the area.
If the area of a square is known, the side length can be determined by finding the ______ root of the area.
Given that $\sqrt{2} \approx 1.414$, what is the approximate value of $5\sqrt{2}$?
Given that $\sqrt{2} \approx 1.414$, what is the approximate value of $5\sqrt{2}$?
The formula for calculating the required ice thickness involves multiplying 0.38 by the square of the load in kilograms.
The formula for calculating the required ice thickness involves multiplying 0.38 by the square of the load in kilograms.
If the required ice thickness is calculated to be 28 cm, but the actual ice thickness is measured at 30 cm, is the ice thick enough?
If the required ice thickness is calculated to be 28 cm, but the actual ice thickness is measured at 30 cm, is the ice thick enough?
In the formula, 'Required thickness (cm) = 0.38$\sqrt{load}$ in kilograms', the 'load' is measured in ______.
In the formula, 'Required thickness (cm) = 0.38$\sqrt{load}$ in kilograms', the 'load' is measured in ______.
Which of the following squares has a whole number side length?
Which of the following squares has a whole number side length?
Omitting the multiplication symbol in formulas always results in ambiguity and should be avoided.
Omitting the multiplication symbol in formulas always results in ambiguity and should be avoided.
If the load in kilograms is 4, what is the required ice thickness according to the formula?
If the load in kilograms is 4, what is the required ice thickness according to the formula?
The goal is to estimate the square root of numbers that are not perfect ______.
The goal is to estimate the square root of numbers that are not perfect ______.
Match the following areas of the squares to their side lengths:
Match the following areas of the squares to their side lengths:
Kaitlyn and her father want to go on the ice but are nervous. Given the formula, which of the following changes would lead to a decrease in the 'required thickness' of the ice?
Kaitlyn and her father want to go on the ice but are nervous. Given the formula, which of the following changes would lead to a decrease in the 'required thickness' of the ice?
If you know the area of a square, squaring the area will give you the length of one side of the square.
If you know the area of a square, squaring the area will give you the length of one side of the square.
What would be the required communication if the answer was not approximately equal to sign.
What would be the required communication if the answer was not approximately equal to sign.
Flashcards
What does it mean to estimate?
What does it mean to estimate?
To find an approximate value, especially when an exact calculation isn't needed.
What is a perfect square?
What is a perfect square?
A number that can be obtained by squaring a whole number.
Formula for required ice thickness
Formula for required ice thickness
The thickness (cm) needed is 0.38 multiplied by the square root of the load (kg).
What does the square root help you find?
What does the square root help you find?
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What is the symbol "≈"?
What is the symbol "≈"?
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Study Notes
- The goal is to estimate the square root of numbers that are not perfect squares.
- Kaitlyn and her father drilled a hole in the ice in the lake to measure its thickness.
- The ice was 30 cm thick.
- Their total mass is 125 kg.
- Determine if the ice can support them safely; the following formula is used to check if it can: Required thickness (cm) = 0.38√load in kilograms
Communication Tip
- The multiplication symbol is often omitted from formulas when the meaning is clear.
- For example, 0.38√ means the same as 0.38 × √
- The symbol "≂" means "approximately equal to."
- √2≂1.414.
Is the ice thick enough to support Kaitlyn and her father?
- Draw a 10-by-10 square, an 11-by-11 square, and a 12-by-12 square on grid paper; calculate the area of each square.
- Determine how to calculate the side length of a square if you know only the area of the square.
- Determine if a square with an area of 125 square units has a whole-number side length, using diagrams in part A to explain.
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