Answer:
∠ 4 = 117°
Step-by-step explanation:
∠ 1 and ∠ 4 are alternate angles and supplementary, sum to 180°, then
∠ 4 = 180° - 63° = 117°
Answer:
0.00420
Step-by-step explanation:
Answer:
The answer in the procedure
Step-by-step explanation:
we have
2x-3y=-1 ----> equation A
3x+3y=26 --> equation B
Solve the system by elimination
Adds equation A and equation B
2x-3y=-1
3x+3y=26
----------------
2x+3x=-1+26
5x=25
x=25/5
x=5
Find the value of y
substitute the value of x in equation A or equation B and solve for y
2(5)-3y=-1
10-3y=-1
3y=10+1
y=11/3
Answer:
CI = 29.8 ± 3.53
Critical value is z = 2.58
Step-by-step explanation:
First of all let's find margin of error. It is given by the formula;
ME = zσ/√n
We are given;
Standard deviation; σ = 3.62
Sample size; n = 7
Mean; x¯ = 29.8
Now, z-value for 99% Confidence level is 2.58
Thus;
ME = (2.58 × 3.62)/√7
ME = 3.53
CI is written as;
CI = x¯ ± ME
CI = 29.8 ± 3.53
Critical value is z = 2.58
Answer:
228.42 ft
Step-by-step explanation:
To solve for this question, we would be applying the Trigonometric function of Sine.
Sin theta = Opposite/Hypotenuse
Theta = 52°
Opposite = 180ft
Hypotenuse = Length of the wire = x
Hence:
sin 52 = 180/x
x = 180/sin 52
x = 228.42327871 ft
Approximately = 228.42 ft
