Answer:
A, B, D, and E
Step-by-step explanation:
recall that the inverse functions verify the identity rule that one function applied on the other will render the identity "x". It is like launching a function from a value x, and then taking the trip back to the value that originated it.
Such also implies that the domain where you started becomes the Range of the function that makes the trip back. And of course, its reciprocal: The Range of the starting function becomes the Domain of the function that gets back.
Therefore, andswers A, B, D and E are correct answers
Answer:
The value of ∠ABG = 99°. The further explanation is given below.
Step-by-step explanation:
The given values are:
m∠ABG
= 11x
m∠HCF
= 10x + 9
As we know, the alternate angles are equivalent:
and,
Here,
⇒
On substituting the estimated value, we get
⇒
On subtracting "10x" from b0th sides, we get
⇒
⇒
On putting the value of "x" in m∠ABG , we get
⇒
⇒
C cause acute angles are anything less then 90 degrees
Answer:
54.74°
Step-by-step explanation:
Draw a well labelled cube to have a better representation of the question.
A cube is 3-dimensional, therefore it will have coordinates in x,y and z axis. The diagonal of a cube is from one corner to another corner.
Assuming that cube is unit cube, we need to find n angle at one of its edges will make with the diagonal.
I choose the the diagonal and one edge with the unit vector (1,0,0) and (1,1,1).
a = (1,1,1)
b = (1,0,0)
To calculate the angle between two vectors,
a.b = |a||b|cosθ
For simplicity, calculate the dot product, and the magnitudes. Then we will substitute the values of the dot product, and the magnitudes of the vectors to solve for the angle.
Calculating the dot product
a.b = (1,1,1) . (1,0,0)
= (1 × 1) + (1 × 0) (1 × 0)
= 1
Calculating the magnitudes
1. Magnitude of (1,1,1)
2. Magnitude of (1,0,0)
Calculating the angle between the two vectors
cosθ
cosθ
cosθ
θ
θ = 54.7356°
θ ≈ 54.74°
Answer:
The 1st, 3rd, and 5th statements are correct.
Step-by-step explanation:
YZ has the same angle as XY, so the length is the same.
A^2+B^2=C^2 shows that XZ equals 9 sqrt 2 cm.
The hypotenuse is always the longest segment in the triangle.