Answer:
The length of minor arc AB is
π ft
Step-by-step explanation:
The formula of the length of an arc in a circle is L =
× 2πr, where α is the central angle subtended by the arc, and r is the radius of the circle
∵ The radius of the circle is 4 ft
∴ r = 4
∵ ∠AOB is a central angle subtended by minor arc AB
∵ m∠AOB = 50°
∴ α = 50°
Substitute the values of r and α in the rule above
∵ L =
× 2π(4)
∴ L =
π
∴ The length of minor arc AB is
π ft
Answer:
1/6 gallon of water
Step-by-step explanation:
Number of hikers = 3
Quantity of water shared = 1/2 gallon of water
If the water was shared equally among the hikers, then,
Amount of water each hiker drank = Quantity of water shared ÷ Number of hikers
= 1/2 ÷ 3
Multiply 1/6 by the reciprocal of 3
The reciprocal of 3 = 1/3
1/2 ÷ 3
= 1/2 × 1/3
= (1 * 1) / (2 * 3)
= 1/6
Amount of water each hiker drank = 1/6 gallon of water
Answer:
By hypotenuse - side test (HL) the two triangles are congruent.
Step-by-step explanation:
In ∆ABC and ∆DCB
i) angleABC = angleDCB.....(each 90°)
ii) BC = BC .....( common side)
iii) AC = DB.....(given)
therefore by hypo-side test ∆ABC congruent ∆DCB
Answer:
Step-by-step explanation:
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