This is the concept of algebra, we are required to approximate the arcsin of the value given using a calculator;
sin theta=[opposite]/[hypotenuse]
arcsin is the inverse of sin, thus;
arcsin(0.549)=33.2984
the answer is 33.3984°
Answer:
Step-by-step explanation:
step 1
Find the slope
The formula to calculate the slope between two points is equal to
take two points from the data
(0,8), and (8,-24).
substitute
step 2
Find the equation of he line in slope intercept form
we have
----> the y-intercept is given
substitute
Answer: The answer is 8.
Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;
Y^2 - 40.
Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,
Y^2 - 40 = 3Y
If we move all expressions to one side of the equation, what we would have is,
Y^2 - 3Y -40 = 0
(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)
We now have a quadratic equation
Y^2 -3Y - 40 = 0
By factorizing we now have
(Y -8) (Y + 5) = 0
Therefore Y - 8 = 0 or
Y + 5 = 0
Hence, Y = 8 or Y = -5
Since we are asked to calculate the positive solution, Y = 8
Well if she added three blue and four red originally, and is now using 16 red then we would divide 16 by the original four. Which means to get the number of blue we are gonna end up multiplying by four. So three times four is twelve. Which means she would use 12 blue and 16 red to get the same color she got with 3 blue and 4 red earlier. The equation, lets use x for blue and y for red, would be 4(3x + 4y) = desired color
Answer:
-4/3
Step-by-step explanation:
m1m2=-1
so 3/4*X= -1
3X=-4
x= -4/3
