The angle that defines the arc is 1.57 radians or 90°.
<h3 /><h3>How to get the angle of the arc?</h3>
For a circle of radius R, the length of an arc defined by an angle θ in radians is given by:
L = θ*R.
Here we know that the radius is R = 7cm, and the length of the arc is 10.99 cm. Replacing these in the above equation:
10.99 cm = θ*7cm
θ = (10.99 cm/7 cm) = 1.57
Then the angle is 1.57 radians. Remember that:
3.14 radians = 180°
Then:
θ = (1.57/3.14)*180° = 90°
If you want to learn more about arcs:
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Answer:
A. v = 19√3.
B. u = 38.
Step-by-step explanation:
The following data were obtained from the question:
Angle θ = 60°
Adjacent = 19
Opposite = v
Hypothenus = u
A. Determination of the value of 'v'
The value of v can be obtained by using Tan ratio as shown below:
Angle θ = 60°
Adjacent = 19
Opposite = v
Tan θ = Opposite /Adjacent
Tan 60 = v/19
Cross multiply
v = 19 × Tan 60
Tan 60 = √3
v = 19 × √3
v = 19√3
Therefore, the value of v is 19√3
B. Determination of the value of 'u'
The value of u can be obtained by using cosine ratio as shown below:
Angle θ = 60°
Adjacent = 19
Hypothenus = u
Cos θ = Adjacent /Hypothenus
Cos 60 = 19/u
Cos 60 = 1/2
1/2 = 19/u
Cross multiply
u = 2 × 19
u = 38
Therefore, the value of u is 38.
Answer:
The total number of unbroken / working slots
Step-by-step explanation:
Given that Devin's DVD case has 3 rows of slots, but 5 slots are broken
Also given that the number of slots in a row is x
1 row has x slots
3 rows has y slots
on cross multiplication we get y = 3x
ie there are a total of 3x slots in the 3 rows
Given that out of these 3x slots 5 . of the slots are broken
Therefore the total number of working slots = total number of slots - number of slots which are broken
total number of working slots are = 3x - 5
Therefore the given expression is the number of working / good slots
if u look at it and and which ones have more then u will get ur answer
Answer:
x=y+3
Step-by-step explanation:
you just swap variables.
