Answer:
One root is 90 degrees or π/2 radians.
Drawing a graph we get all the roots:
nπ and π(n - 1/2)
Step-by-step explanation:
Sin^3A.cos A + Cos^ 3 A = Cos A
Divide through by cos A
sin^3A + cos^2A = 1
sin^3 A = 1 - cos^2 A
sin^3 A = sin^2 A
sin A = 1
So one root is A = 90 degrees or π/2 radians.
Checking this result:
(sin 90^3 * cos 90 + (cos 90)^3 = 1 * 0 + 0 = 0
cos 90 = 0
So this is correct..
The number of days is 10 if, in a poultry farm, 50 hens give 200 eggs in 2 days.
<h3>What is a fraction?</h3>
Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
On a poultry farm, 50 hens give 200 eggs in 2 days.
It is required to find the number of days will 20 hens require to give 400 eggs:
Let x be the number of days:
(50×2)/200 = (20x)/400
x = 10
Thus, the number of days is 10 if, in a poultry farm, 50 hens give 200 eggs in 2 days.
Learn more about the fraction here:
brainly.com/question/1301963
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Answer:
5) a)(-4,-6) b) (4,2) c) (2,6) 6) (3,2)
Step-by-step explanation:
5) the solution is the points where the lines meet.
6) graphed the lines; the picture of the graph is attached below
You have to solve for X
<span><span><span><span>3x</span>−<span>4y</span></span>−8=12
</span>
Multiply 4y to both sides
3x-4y-8+4y =12 +4y
3x-8==4y+12
Add 8 to both sides
3x-8+8=4y+12+8
3x=4y+20
Divide both sides by 3
3/3x=4y+20/3
x=4/3y+20/3</span>