Answer:
2-58
Step-by-step explanation:
total angles sum in a triangle= 180
180 = 68+ 54 + x
x= 180-(68+54)
x=180-122
x=58
Answer:
A. (x-3)(x+4)(x-6)
Step-by-step explanation:
We need to find the polynomial f(x)=x^3 - 5x^2 - 18x + 72 as a product of lineal factors.
We're going to solve the problem using Ruffini's rule:
1 -5 -18 72
3 3 -6 -72
______________________________
1 -2 -24 0
Then we have:
1 -2 -24
-4 -4 24
______________________________
1 -6 0
Lastly:
1 -6
6 6
______________________________
1 0
Then, the roots are: x=6, x=-4 and x=3
For that reason, the product of linear factors is:
(x-6)(x+4)(x-3) which is option A.
Answer:
radical 1/2
Step-by-step explanation:
45-45-90 triangle
hyp= radical 1/2 (radical 2)
therefore x (median side aka)= radical 1/2
Answer:
The height of the cliff is 31.17 feet.
Step-by-step explanation:
For better understanding of the solution see the attached figure :
Let the height of cliff be x feet.
In ΔABC and ΔDEC,
m∠ABC = m∠DEC = 90° (Angle made between the height and the ground is right angle)
∠ACB = ∠DCE ( Angle of reflection = Angle of incidence because N is normal )
So, By AA postulate of similarity of triangles, ΔABC ~ ΔDEC
Now as triangles are similar, their sides will be proportional to each other.
Hence, The height of the cliff is 31.17 feet
Like what kinds? Finding out the type of angle? The degree?