Answer:
b = 101.52
Step-by-step explanation:
b^2 = a^2 + c^2 - 2ac CosB
b^2 = 105^2 + 9^2 - 2(105)(9) Cos 65°
b^2 = 11 106 - 798.75
b^2 = 10 307.25
b = 101.52
Answer/Step-by-step explanation:
1. m<UTV = m<RTS = 85°
Reason: Definition of vertical angles.
Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.
2. m<R + m<S + m<RTS = 180°
Reason: sum of interior angles of a ∆.
3. 3x + 2x + 85° = 180°
Reason: Substitution
4. x = 19
Reason: Algebra
Solving the equation algebraically, we would have the following:
3x + 2x + 85° = 180°
Add like terms
5x + 85 = 180
5x = 180 - 85 (subtraction property of equality)
5x = 95
Divide both sides by 5
x = 19
Answer:
2pi/5
Step-by-step explanation:
The only thing in this equation that affect the period is the '5' in front of the 'x'
cos period is usually 2pi
this is compressed by 5
period = 2pi/ 5
Answer:
-54, 162, -486
Step-by-step explanation:
You multiply the number in front by -3.
2*-3=-6
-6*-3=18
18*-3=-54
-54*-3=162
162*-3=-486
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Answer:
4, 15, 6, 18.
Step-by-step explanation:
- 12 = 1, 2, 3, 4, 6, 12 16 = 1, 2, 4, 8, 16 The GCF of 12 and 16 is 4 because when you compare the numbers that go into 12 and 16, 4 is the highest number that they both are multiples of.
Try the others by yourself and if you have any questions ask me in the comments