Step-by-step explanation:

b. Since csc theta = 1/sin theta, we can multiply both sides by sin theta and you will end up with

which is an identity.
Well, your question is basically;
x²+6x+5
Well first you have to find two numbers that when added will give you +6 and when multiplied will give you 5. Well, in this case, the numbers are; (+1 and +5). So you add them to the equation. So;
x²+1x+5x+5
Hope you noticed that 6x was removed. Anyway;
You have to put the equation in two brackets with two terms in each
(x²+1x)+(5x+5)
Next, you bring out what is commom in each bracket and use it to divide what is in the bracket
x(x+1)+5(x+1)
Now you notice that the two things in the bracket are the same. They have to be.
Next, you put the terms outside the bracket together and choose one of the terms in a bracket. So;
(x+5) (x+1)
So the equation factorised is (x+5) (x+1). But if you want to go ahead to find x, then you can say;
(x+5) (x+1)
x+5=0 x+1=0
Take the +5 over Take the +1 over the equal to, where it becomes -1. So;
the equal sign where x=-1
it becomes -5. So;
x=-5 OR x=-1
By the way, here's a little secret, the answers are always the opposite of the two numbers chosen at the beginning(+1 and +5). Hope i helped. If you have any more problems, let me know.
A ) h = -16 t² + 135 t + 76
Let : h = 0
0 = - 16 t² + 135 t + 76
B ) t 1/2 = (-b+/- √ ( b² - 4 ac ) / ( 2 a )
t 1/2 = (-135 - √(18,225 + 4,864))/ (-32) = ( - 135 - 151.95) / (- 32)=
= (-286.95) / (- 32) = 9.967 ≈ 9.0 s ( other solution is negative )
Answer:
2) 0 = -16 t² + 135 t + 76; 9 s
Answer:
Smaller number: 12
Larger number: 34
Step-by-step explanation:
Let x represent the smaller number.
Let 3x - 2 represent the larger number (The larger number is two less than three times the smaller number, or x)
x + 3x -2 = 46
Add 3x + x:
4x - 2 = 46
Add 2 to both sides:
4x = 46 + 2
Add 46 + 2:
4x = 48
Divide both sides by 4:
4x/4 = 48/4
x = 12 is the smaller number
Since 12 is the smaller number, and the sum of the two numbers is 46, than the larger number must be 34.
I hope this helped you. If it did, please consider, rating, pressing thanks and/or giving my answer 'Brainliest.' Have a great day! :)
To determine the area if the circle, you must know the diameter or the radius of a circle.
If you know the radius of a circle, use this as your formula. Remember: Pi (the greek symbol thingy) is equal to 3.1415. (A is equal to area of the circle and r represents the radius)

If you know the diameter, just divide the diameter to get the radius then use the same equation.