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°
Answer:
a. When vector is added to vector , the resultant is vector such that its magnitude and direction is proportional to the resultant magnitude and direction of the component vectors.
b. ∅ = 
(Rx/Ry)
Step-by-step explanation:
Vectors are used to express physical quantities with magnitude and direction. Vectors can be added by the parallelogram method or the triangular method of addition. the magnitude and direction of the resultant vector is usually proportional to the magnitude and direction of the component vectors.
The direction of the angle is found as
tan∅ = Rx/Ry
∅ = (Rx/Ry)
Answer:
Step-by-step explanation:
Begin
If this is a rhombus then <8 = 90 degrees as do all the central angles. That's because the diagonals intersect at right angles.
<4 = 38 z formation for parallel lines.
<7 = 52 The angles are part of a right angle triangle. <7 +38 = 90
<2 = 52 z formation of parallel lines (a rhombus has ll lines).
<3 = 38 The diagonals of a rhombus bisect each other.
<5 = 38 z formation for parallel lines.
<6 = 52 The diagonals of a rhombus are angle bisectors.
<1 = 52 The diagonals of a rhombus are angle bisectors.
The mode is 12.
The mode is the value that appears most frequently in a data set.
4 are rock and 12 are pop, so 4 CD's are other
