Answer:
<u>25 hours</u>
Step-by-step explanation:
It takes 5 men 45 hours to build a wall.
So, if no. of men increases by 1.8 [∴ 5 x 1.8 = 9],
then time taken reduces by that same amount.
=> 45 hours / 1.8
=> 45 / (9/5)
=> 45 x 5 / 9
=> 5 x 5
=> <u>25 hours</u>
I think the answer is 10.
Although 5-15=-10
you have those bracket thingies, it's called a modulus right?
they make everything positive in a sense.
Answer:
θ = 0.896 and 2.246.
Step-by-step explanation:
We will use the identity
sin²θ + cos²θ = 1
and the double angle formula
cos2θ = cos²θ - sin²θ = (1 - sin²θ) - sin²θ = 1 - 2sin²θ
1. Convert the equation to a more solvable form.

2. Solve the quadratic
a = 2; b = 1; c = -2
(a) Set up the equation.

(b) Evaluate the roots

3. Solve for θ
(a) The negative root
u = sinθ = -1.281
sinθ cannot be less than -1. No solution.
(b) The positive root
If sin(x) = a, then
x = arcsin(x) + 2πn and
x = π - arcsin(a) + 2πn
(i) Case 1
u = sinθ = 0.7808
θ = arcsin(0.7808) + 2πn
θ = 0.8959 ± 2πn
If n = 0,
θ = 0.8959
(ii) Case 2
θ = π - 0.8959 + 2πn
If n = 0,
θ = π - 0.8959 = 2.246
The solutions are θ = 0.8959 and θ = 2.246
The diagram below shows the graph of f(θ) with its roots at 0.896 and 2.246.
Answer:
The answer is B. x < 1
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given: (8,-15) is on the terminal ray of angle
To find: All the trigonometric ratios
Solution:
Trigonometry is a branch of mathematics that explain relationship between the sides and angles of triangles.
If (x, y) lies on the terminal side of θ then 
units
