Math Answers

A 6 foot boy throws the javelin with an initial speed of 87 feet per second at an angle of 38° with the horizontal. What is the maximum height reached?

A 6 foot boy throws the javelin with an initial speed of 87 feet per second at an angle of 38° with the horizontal. How long is the javelin in the air?

Find the fourth roots of -1-i√3

z_1=1-i√3 and z_2=-√2+i√2
Find (z_2 )^6

z_1=1-i√3 and z_2=-√2+i√2
Find z_1/z_2 in trigonometric form.

z_1=1-i√3 and z_2=-√2+i√2
Find z_1∙z_2 in trigonometric form.

z_1=1-i√3 and z_2=-√2+i√2
Convert both to trigonometric form. 0≤θ≤2π

1) In the arithmetic series
k+ 2k+ 3k+................+100
k is a positive integer and k is a factor of 100

i) Find in terms of k, an expression for the number of terms in the series

ii) show that the sum of terms in this series is

50+500/k

iii) Find, in the terms of k, the 50th term of the arithmetic sequence
(2k+1), (4k+4), (6k+7),................

the diagram shows one solution to the equation 3 - sin 0 = 5 sin 0. find the complete solution of the equation.

A theater has 20 rows of seats. There are 15 seats in the first row, 17 seats in the second row, and each succesive row of seats has two more seats in it than previous row

a) Calculate the number of seats in the 20th row.

b) calculate the total number of seats