Answer:
The angle the wire now subtends at the center of the new circle is approximately 145.7°
Step-by-step explanation:
The radius of the arc formed by the piece of wire = 15 cm
The angle subtended at the center of the circle by the arc, θ = 68°
The radius of the circle to which the piece of wire is reshaped to = 7 cm
Let 'L' represent the length of the wire
By proportionality, we have;
L = (θ/360) × 2 × π × r
L = (68/360) × 2 × π × 15 cm = π × 17/3 = (17/3)·π cm
Similarly, when the wire is reshaped to form an arc of the circle with a radius of 7 cm, we have;
L = (θ₂/360) × 2 × π × r₂
∴ θ₂ = L × 360/(2 × π × r₂)
Where;
θ₂ = The angle the wire now subtends at the center of the new circle with radius r₂ = 7 cm
π = 22/7
Which gives;
θ₂ = (17/3 cm) × (22/7) × 360/(2 × (22/7) × 7 cm) ≈ 145.7°.
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Answer:
20
Step-by-step explanation:
A whole can be divided into two pieces that are each 1/2 of the whole.
(10 wholes) × (2 pieces per whole) = 20 pieces
Answer:
Less than one
Step-by-step explanation:
Suppose that you have a pizza divided into some equal parts (in m parts). Each of these parts is represented by a fraction () less than 1. If you want to share one part of this pizza between some friends (for example, between n friends), you should divide this part of pizza into equal number of parts (in n parts). What do each friend get? A part from a part. The quotient is less than one.
Mathematically,
Answer:
tan r = 35/12
Step-by-step explanation:
you use the rule tan=opposite/adjacent
Answer:
farmer make 313 bunch of carrot
Step-by-step explanation:
given data
Total Carrots = 4700
Number of bunch = 15
sell carrots = $5 per bunch
to find out
how many bunches will the farmer make
solution
first we get here no of bunch that is express as
number of bunch = Total Carrots ÷ Number of bunch .......................1
put here value we will get number of bunch
number of bunch =
number of bunch = 313.3
so that here farmer make 313 bunch of carrot