Answer:
7) C
8) B
9) C
Step-by-step explanation:
7) sqrt[(8-8)² + (-5-7)²] = 12 units
8) y = 4x
9) y = 6 - x
Answer:
Total number of arrangements = 1,663,200
Step-by-step explanation:
Given:
11 - letter
FIRECRACKER
F = 1
I = 1
R = 3
E = 2
C = 2
A =1
K = 1
Find:
Total number of arrangements = ?
Computation:
Note: Repeated letter will be avoid.

Total number of arrangements = 1,663,200
Answer:
x = 32
The 9 and 4 ball are farthest from each other.
Step-by-step explanation:
Since the angles of a triangle add up to 180 degrees, you can create the equation (x-5)+(2x+1)+(3x-8)=180, which can be simplified to 6x-12=180. That means the value of x is 32. That means the 9 ball is at 27 degrees, the 4 ball is at 65 degrees, and the 5 ball is at 88 degrees. Based on the angles, the farthest distance would be between balls 9 and 4.
1. Check the picture attached.
let P, M, N be the points :P(5, -2), M(5, 0), N(0, -2)
ABP is the angle with measure ∅, where BA is the initial ray and BP the terminal ray.
2. m(PNM)=∅ as can be easily checked
In triangle PNM, NP=5, PM=2 and NM=

units
3. let opp=opposite side, adj=adjecent side, hyp=hypothenuse
sin ∅ = opp/hyp=

cos ∅ = adj/hyp=

tan ∅ = opp/adj=2/5
cot ∅ = adj/opp=5/2
sec ∅ = hyp/adj=

csc ∅ = hyp/opp=
Answer:
1125.4 Hz
Step-by-step explanation:
The resonant frequency is the frequency at with the inductive reactance is equal to the capacitive reactance. It is given by the relation ...

where L is in henries, and C is in farads.
__
For the given circuit values, the resonant frequency is ...

The resonant frequency of this circuit is about 1125.4 hertz.