Answer:
speed=24km/h or 6.67m/s
Step-by-step explanation:
Given data:
time taken = t =43 hours
distance covered = d = 1032 km
to find:
speed of the ship = v =?
solution:
as we know that speed is defined as the distance covered by an object in unit time.Formula
speed = distance covered /time taken
speed = 1032km/43hours
speed =24km/h or in international system of units the answer is 6.67m/s
Answer:
3.7
Step-by-step explanation:
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°.
Answer:
1/3
Step-by-step explanation:
There are <u>four</u> 5's on the dial out of 12 possible stops
4/12 = 1/3 theoretical
