Answer:
17 times
Step-by-step explanation:
We know that
if <span>y is inversely proportional to x
then
y=k/x
where k is the constant of variation
so
for x=0.5 y=12
find the value of k
12=k/0.5-----> k=12*.5----> k=6
y=6/x
the rule is the following
y=6/x
</span><span>
</span>
So you should know that an independent variable is a variable that is not changed by other variables but a dependent variable does change by other variables.
So in this question, c is a dependent variable and m is an independent variable :))))
I hope this is helpful
have a nice day
Answer:
x = 1 +√5
Step-by-step explanation:
There are different formulas for the area of a triangle available, depending on the given information.
<h3>Formulas</h3>
When two sides and the angle between them are given, the relevant area formula is ...
Area = 1/2(ab)sin(C)
When the base and height of a triangle are given, the relevant area formula is ...
Area = 1/2bh
<h3>Equal Areas</h3>
The problem statement tells us the two triangles shown have equal areas. That means the two formulas will give the same result.
Area from angle = Area from base/height
1/2(x·x)sin(30°) = 1/2(x-2)(x+1)
x² = 2(x² -x -2) . . . . . . . . . . . use sin(30°) = 1/2, multiply by 4
x² -2x -4 = 0 . . . . . . . . subtract x², eliminate parentheses
(x -1)² = 5 . . . . . . . . . add 4+1 to complete the square
<h3>Value of x</h3>
x = 1 ± √5 . . . . . . take the square root, add 1
The value of x must be greater than 2 in order for the triangle side lengths to be positive. (x-2 > 0) This means x = 1-√5 is an extraneous solution.
The value of x is 1 +√5.
Answer: x = -4
Step-by-step explanation: