cos(30)=x/8
Rewrite the equation as
x/8=cos(30)
Multiply both sides of the equation by
8
.
8
⋅
x/8=8⋅cos(30)
Simplify both sides of the equation.
Tap for more steps...
x=4√3
The result can be shown in multiple forms.
Exact Form:
x=4√3
Decimal Form:
x=6.9282032
Answer:
-5 and 17
Step-by-step explanation:
The sum of two numbers (let's just say number a and number b) is 12.
a + b = 12
The difference between the same two numbers (still a and b) is 22.
b - a = 22
(Move variable a to the right side to get the following.)
b = 22 + a
(This way, we can substitute b = 22 + a into the first equation, a + b = 12, and solve.)
a + (22 + a) = 12
a + a + 22 = 12
2a = -10
a = -5
a + b = 12
-5 + b = 12
b = 17
900% of 450=4050
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 450 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 450 is 100%, so we can write it down as 450=100%.
4. We know, that x is 900% of the output value, so we can write it down as x=900%.
5. Now we have two simple equations:
1) 450=100%
2) x=900%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
450/x=100%/900%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 900% of 450
450/x=100/900
(450/x)*x=(100/900)*x - we multiply both sides of the equation by x
450=0.111111111111*x - we divide both sides of the equation by (0.111111111111) to get x
450/0.111111111111=x
4050=x
now
We see that in these 3 terms, 6 is a common factor. So, let's factor out a 6:
We can set this equal to 0 and factor by using the quadratic formula which is:
So, let's do just that:
Note that the 6 goes away if you divide both sides by 6. In this case, a = 1, b = -1, and c = -2. Let's plug that into the quadratic equation:
So, we can write this as:
Notice that the 6 comes back because it was only temporarily mad. And that the roots have opposite signs in the parentheses because to find the roots, you need to set each parentheses equal to 0 and solve for n. With that in mind, your final answer is 6(n-1)(n+2). Hope I could help you!
