Handwrit.e and show all work and steps

19. Two forces with magnitudes of 150 and 100 pounds act on an object at angles of 40 and 170, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer. (5 points) B i U Font Family AA A 20. Find the fourth roots of 256(cos 280 + i sin 280 ). (5 points) B i U Font Family AAADEE EG13. Use mathematical induction to prove the statement is true for all positive integers n. 8 + 16+ 24 + ... + 8n = 4n(n + 1) (8 points) B i U Font Family AAA DE EE. 14. A certain species of tree grows an average of 4.2 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 300 centimeters tall. (8 points) B i U Font Family AAA DE EE . M D