Answer:
C. x + 9 = 11
Step-by-step explanation:
We are trying to identify which of the equations does not match with the others. In this case, solve for x in each equation:
Option A):
6 + x = 9
Subtract 6 from both sides:
6 (-6) + x = 9 (-6)
x = 9 - 6
x = 3
Option B):
15 = x + 12
Subtract 12 from both sides:
15 (-12) = x + 12 (-12)
15 - 12 = x
x = 3
Option C):
x + 9 = 11
Subtract 9 from both sides:
x + 9 (-9) = 11 (-9)
x = 11 - 9
x = 2
Option D):
7 + x = 10
Subtract 7 from both sides:
x + 7 (-7) = 10 (-7)
x = 10 - 7
x = 3
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As you can tell, all the equations end with x = 3 as there answers except C. x+9=11, making (C) your answer.
~
Now to solve this problem, all we have to remember is the
formula for calculating the linear speed given the radial speed, that is:
v = r w
where,
v = is the linear velocity or linear speed
r = is the radius of the circular disk = (1 / 2) diameter
= (1/ 2) (2.5 inches) = 1.25 inches
w = is the radial velocity (must be in rad per time) =
7200 rev per minute
Calculating for v:
v = 1.25 inches (7200 rev per minute) (2 π rad / 1 rev)
v = 56,548.67 inches / minute
Converting to miles per hour:
v = 56,548.67 inches / minute (1 mile / 63360 inches) (60
min / hour)
<span>v = 53.55 mile / hour</span>
Answer:
-i
Step-by-step explanation:
i^0=1
i^1=i
i^2=-1
i^3=-i
i^4=1
This repeats so we want to see how many 4 factors of i there is in i^(23) which is 5 with a remainder of 3.
So i^(23)=i^3=-i.
i^(23)=i^(5*4+3)=(i^4)^5 * (i^3)=(1)^5 * (-i)=1(-i)=-i.
Answer:
The answer is (a) ⇒ x = 3.5
Step-by-step explanation:
In ΔABZ use the sin rule to find ∠ABZ and ∠BAZ
∵ AB/sin50° = AZ/sin∠ABZ
∴ 8.8/sin50° = 4.79/sin∠ABZ
∴ sin∠ABZ = (4.79 × sin50) ÷ 8.8
∴ sin ABZ = 0.416971
∴m∠ABZ = 24.64°
∴ m∠BAZ = 180 - (50 + 24.64) = 105.36°
In ΔABZ use the cosine rule to find BZ
(BZ)² = (BA)² + (AZ)² - 2(BA)(AZ)cos∠BAZ
∵ (BZ)² = (8.8)² + (4.79)² - 2(8.8)(4.79)cos105.36°
∴ (BZ)² = 122.7147953
∴ BZ = 11.078
Use the cosine rule in ΔCBZ to find CZ
(CZ)²= (BC)² + (BZ)² - 2(BC)(BZ)cos∠B
∵ (CZ)² = (4.79)² + (11.078)² - 2(4.79)(11.078)cos39²
∴ (CZ)² = 63.18982803
∴ CZ = 7.949
∵ CZ = 2x + 1
∴ 2x + 1 = 7.949
∴ 2x = 7.949 - 1 = 6.949
∴ x = 6.949 ÷ 2 = 3.47 ≅ 3.5
