Answer:
3.16 units
Step-by-step explanation:
It has been given that the triangles JKL and the triangle RST are congruent.
That implies that, the length of the side JK, KL, and JL is equivalent to the length of the sides RS, ST, and RT respectively.
Now, to find the length of JK we need to find the length of the side RS. The coordinates of the points R and S are
and
.
The length of the side RS is equal to the distance between point R and S.
RS 



Now that we have the length of the side RS, and the triangles JKL and RST are congruent therefore, the length of the side JK is 3.16 units.
Area are all sides multiplied the formula can be found online
This question is incomplete because it lacks the diagram of the right angles shaped charging stand.
Find attached to this answer, the appropriate diagram.
Answer:
3(tan 50°)
Step-by-step explanation:
To solve this question, we would be using the Trigonometric function called Tangent.
tan θ = opposite side/ adjacent side
θ = 50°
Opposite side (Height)= Side AC = Unknown
Adjacent side = Side BC = 3 inches
Hence,
tan 50° = Side AC/ Side BC
tan 50° = Side AC / 3
Cross multiply
tan 50° × 3 = Side AC
3(tan 50°) = Side AC
Therefore, the expression shows the height, AC, of the charging stand is
3(tan 50°).
Answer:
2.542
Step-by-step explanation:
Given the data :
Customer Pre-training Survey, x1 __Post-training Survey, x2 __ difference, d = (x2-x1)
A 6 8 2
B 5 5 0
C 10 10 0
D 7 10 3
E 6 8 2
F 5 6 1
G 2 8 6
This is a paired test as each subject has two different data values :
Difference in score, d :
dbar = Σd / n
dbar = (2+0+0+3+2+1+6) /
dbar = 14 / 7
dbar = 2
Standard deviation of d ; Sd = √[Σ(d - dbar)²/n-1]
Using calculator ; Sd = 2.082
Test statistic = dbar ÷ (Sd/√n)
Test statistic = 2 ÷ (2.082 / 7)
Test statistic = 2 ÷ 0.7869220
The statistic = 2.5415