Answer:
n = 6
Step-by-step explanation:
As they are similar, the ratios of their side must be similar as well
9 / 10.5 = n / 7
n = 9(7)/10.5 = 6
Step-by-step explanation:
soln.9×9×9×9
=81×9×9
=729
=6561
Answer:
x = 1
y = -3/2
Step-by-step explanation:
Step 1: Arrange the equations with like terms in column.
Step 2: You want 1 set of coefficients that are opposites. This problem already has opposites: -2y and +2y.
Step 3: Solve for x.
4x-2y=7
3x+2y=0
--------------
7x = 7
x = 1
Step 4: Substitute the value of x and solve for y.
4(1)-2y=7
4-2y=7
-2y=7-4
-2y=3
y=-3/2
Answer: x = 41.4°
Step-by-step explanation:
We want to solve:
Cos(x) = 3/4
Such that this is on quadrant 1.
(if x is in degrees, the possible values of x will be: 0° ≤ x ≤ 90°)
To solve this we need to remember the inverse functions.
If we have two functions f(x) and g(x), these functions are inverses if:
f( g(x) ) = x
g( f(x) ) = x
Then the inverse of the cosine function (this function is "arcos(x)") is such that:
Arcos( cos(x) ) = x
Then in our equation:
Cos(x) = 3/4
We can apply the inverse function to both sides to get:
Arcos(Cos(x)) = Arcos(3/4)
x = Arcos(3/4)
(To find the Arcos function in your calculator, you need to use the button "inv" and then the "cos" button, and remember to have your calculator in deg mode)
x = Arcos(3/4) = 41.4°
