The initial age of 10 years and the spaceship speed of 0.60•c, gives the Andrea's age at the end of the trip as 18 years.
<h3>How can Andrea's new age be calculated?</h3>
The time dilation using the Lorentz transformation formula is presented as follows;
From the question, we have;
The spaceship's speed, <em>v</em> = 0.6•c
∆t = Rest frame, Courtney's time, change = 10 years
Therefore;
The time that elapses as measured by Andrea = 8 years
Andrea's age, <em>A</em>, at the end of the trip is therefore;
A = 10 years + 8 years = 18 years
Learn more about the Lorentz transformation formula here:
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Answer:
5.2
Step-by-step explanation:
a^2+b^2=c^2
Where c is the length of hypotenuse
and a, b are lengths of the legs.
Put in 6 for c,
Put in 3 for a and you get 9+b^2=36
Subtract 9 from both sides and get b^2= 27
Then find the square root of both sides to get b, so the answer is the square root of 27.
The cloest square root is 5, then apporixmate the tenths value and see if they work.
Answer: 5.2
The measure of ∠BAF is 54°.
Solution:
DF and CE are intersecting lines.
m∠EAF = 72° and AB bisects ∠CAF.
∠EAF and ∠DAC are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>
∠DAC ≅ ∠EAF
m∠DAC = 72°
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠DAE + m∠EAF = 180°
m∠DAE + 72° = 180°
Subtract 72° from both sides.
m∠DAE = 108°
∠CAF and ∠DAE are vertically opposite angles.
⇒ m∠CAF = m∠DAE
⇒ m∠CAF = 108°
AB bisects ∠CAF means ∠CAB = ∠BAF
m∠CAB + m∠BAF = 108°
m∠BAF + m∠BAF = 108°
2 m∠BAF = 108°
Divide by 2 on both sides, we get
m∠BAF = 54°
Hence the measure of ∠BAF is 54°.