Use the tables of cubes to find the cube root of the following 654.8.

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29. Use the tables of cubes to find the cube root of the following 654.8.

To find the cube root of 654.8 using mathematical tables:

Locate the number 654.8 in the "number" column of the cube root table.
If the table is for numbers $N$ and their cube roots $\sqrt[3]{N}$ , you would look for 6.548 and adjust the decimal.
Read the corresponding value in the "cube root" column.
Since I do not have access to a physical mathematical table, I will provide the value obtained using a calculator, which approximates the result you would get from a sufficiently detailed table.

Using a calculator:
$\sqrt[3]{654.8} \approx 8.6830$
The cube root of 654.8 is approximately $\boxed{8.683}$ .

30. The volume of a cube was 0.007984 using mathematical table, find its length.

The volume $V$ of a cube with side length $L$ is given by the formula $V = L^3$ .
To find the length $L$ , we need to calculate the cube root of the volume: $L = \sqrt[3]{V}$ .
Substitute the given volume into the formula.
$L = \sqrt[3]{0.007984}$
To use a mathematical table for cube roots, you would typically adjust the number to be between 1 and 1000, find its cube root, and then adjust the decimal place.
For example, $0.007984 = 7.984 \times 10^{-3}$ . Then $\sqrt[3]{7.984 \times 10^{-3}} = \sqrt[3]{7.984} \times \sqrt[3]{10^{-3}} = \sqrt[3]{7.984} \times 10^{-1}$ . You would look up $\sqrt[3]{7.984}$ in the table and then multiply by 0.1.

Since I do not have access to a physical mathematical table, I will provide the value obtained using a calculator.
$L = \sqrt[3]{0.007984}$ $L \approx 0.199866$
The length of the cube is approximately $\boxed{0.1999}$ .

31. a) Construct a parallelogram WXYZ such that WX = 7cm, WZ = 5cm, $\angle WXY = 120^\circ$ .

To construct the parallelogram WXYZ:
Draw a line segment WX of length 7 cm.
At point X, use a protractor to construct an angle of $120^\circ$ with WX.
Along the arm of the $120^\circ$ angle from X, mark point Y such that XY = 5 cm (since opposite sides of a parallelogram are equal, XY = WZ).
From point W, draw an arc with a radius of 5 cm (length of WZ).
From point Y, draw an arc with a radius of 7 cm (length of YZ, which is equal to WX).
The intersection of the arcs from Step 4 and Step 5 is point Z.
Join WZ and YZ to complete the parallelogram WXYZ.

Use the tables of cubes to find the cube root of the following 654.8.

Step-by-step solution

Locate the number 654.8 in the "number" column of the cube root table.

Read the corresponding value in the "cube root" column.

Substitute the given volume into the formula.

To use a mathematical table for cube roots, you would typically adjust the number to be between 1 and 1000, find its cube root, and then adjust the decimal place.

Draw a line segment WX of length 7 cm.

At point X, use a protractor to construct an angle of $120^\circ$ with WX.

Along the arm of the $120^\circ$ angle from X, mark point Y such that XY = 5 cm (since opposite sides of a parallelogram are equal, XY = WZ).

From point W, draw an arc with a radius of 5 cm (length of WZ).

From point Y, draw an arc with a radius of 7 cm (length of YZ, which is equal to WX).

The intersection of the arcs from Step 4 and Step 5 is point Z.

Join WZ and YZ to complete the parallelogram WXYZ.

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More Biology Questions

Use the tables of cubes to find the cube root of the following 654.8.

Step-by-step solution

Locate the number 654.8 in the "number" column of the cube root table.

Read the corresponding value in the "cube root" column.

Substitute the given volume into the formula.

To use a mathematical table for cube roots, you would typically adjust the number to be between 1 and 1000, find its cube root, and then adjust the decimal place.

Draw a line segment WX of length 7 cm.

At point X, use a protractor to construct an angle of 120∘120^\circ120∘ with WX.

Along the arm of the 120∘120^\circ120∘ angle from X, mark point Y such that XY = 5 cm (since opposite sides of a parallelogram are equal, XY = WZ).

From point W, draw an arc with a radius of 5 cm (length of WZ).

From point Y, draw an arc with a radius of 7 cm (length of YZ, which is equal to WX).

The intersection of the arcs from Step 4 and Step 5 is point Z.

Join WZ and YZ to complete the parallelogram WXYZ.

Still stuck on this one?

More Biology Questions

At point X, use a protractor to construct an angle of $120^\circ$ with WX.

Along the arm of the $120^\circ$ angle from X, mark point Y such that XY = 5 cm (since opposite sides of a parallelogram are equal, XY = WZ).