The position vector of \( P \) is \( D P=2 \hat{i} \) \( -3 \hat{j} \) and \( M \) is the mid-point of \( P Q \). Given \( D M=\hat{i}+4 \hat{\jmath} \), Obtain the vectur \( P Q \).

3. Construye angulos con las siguientes medidas, Luego, clasificalos según sus medidas. \( \begin{array}{lllll}\text { a. } 25^{\circ} & \text { b. } 85^{\circ} & \text { c. } 68^{\circ} & \text { d. } 150^{\circ} & \text { e. } 100^{\circ}\end{array} \)

foto Real 10. El lado de menor longitud de un triangulo \( A B C \) mide 4 cm . Si el triángulo \( A B C \) es semejante a cn triangulo cuyus lados miden \( 8 \mathrm{~cm}, 12 \mathrm{~cm} \) y 16 cm . ¿ cuál es el perimetro, en centimetrus edel iriángulo A B C?

3.) WHEA OF IS The ARE OF A SECTOR OF A CIRCLE RADIUS \( r=13 \mathrm{cM} \) IF the CORRESPONPING CENTRAL ANGLF IS \( 30^{\circ} \) ? 4.) WHAT IS TLE AREA OF A SEGTOR OF A CIRULE WHT DIAMETER \( D=28 \mathrm{cM} \) If the GENTRAL ANGLE IS \( 320^{\circ} \) ?

Exploration An object has a volume of 36 cubic inches. A box has side lengths 1 foot by 3 inches by 4 inches. a. What is the smallest number of these objects that can fit in the box? Explain your reasoning.

Exploration A sugar cube has a volume of about 1 cubic centimeter. Estimgte the size of a box you would need to hold \( 1,000,000 \) sugar cubes?