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13. Scott has a rope 8 metres long. He says, "I need 9 pieces each 0.89 metres long." Will Scott have enough ribbon? Explain your answer.
Arithmetic Dec 03, 2024
Calculate the values of \( x, y \) and \( z \) in the cuboid shown below by following the steps given. If any of your answers are decimals, round them to 1 d.p. Step 1: Complete the equations below. \[ \begin{array}{l}\text { (a) } x^{2}+y^{2}=\ldots \\ \text { (b) } x^{2}+z^{2}=\ldots \\ \text { (c) } y^{2}+z^{2}=\ldots\end{array} \] Step 2: Use equations (b) and (c) to work out the value of \( x^{2}-y^{2} \).
Algebra Dec 03, 2024
Multiply. \( (\sqrt{10}+2)(2-4 \sqrt{5}) \) Simplify your answer as much \( \square \)
Algebra Dec 02, 2024
Multiply. \( (8 \sqrt{5}+9 \sqrt{2})(9 \sqrt{5}+6 \sqrt{2}) \) Simplify your answer as much as possible.
Algebra Dec 02, 2024
Multiply. \[ (4 \sqrt{10}+7 \sqrt{3})(3 \sqrt{3}-4 \sqrt{10}) \] Simplify your answer as much as possible. \( \square \)
Algebra Dec 02, 2024
\( \sqrt{54 x^{9} y^{5}} \) Assume that all variable
Algebra Dec 02, 2024
Answer the following questions. \[ \begin{array}{l}\text { (a) } 186 \% \text { of what is } 56.73 \text { ? } \\ \text { (b) What number is } 26.8 \% \text { of } 67.5 ?\end{array} \]
Arithmetic Dec 02, 2024
Multiply and simplify. \( (\sqrt{x}-2 \sqrt{5})^{2}=\square \)
Algebra Dec 02, 2024
Find the exact value of each of the following under the given conditions below. \[ \begin{array}{llll}\tan \alpha=-\frac{12}{5}, \frac{\pi}{2}<\alpha<\pi ; \sin \beta=\frac{\sqrt{3}}{2}, 0<\beta<\frac{\pi}{2} \\ \begin{array}{llll}\text { (a) } \sin (\alpha+\beta) & \text { (b) } \cos (\alpha+\beta) & \text { (c) } \sin (\alpha-\beta) & \text { (d) } \tan (\alpha-\beta)\end{array}\end{array} . \]
Trigonometry Dec 02, 2024
Solve the equation on the interval \( 0 \leq 0<2 \pi \) \( \sec \frac{3 \theta}{2}=-2 \)
Trigonometry Nov 30, 2024
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