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mezya [45]
3 years ago
10

Help with number eleven

Mathematics
1 answer:
nalin [4]3 years ago
3 0
\dfrac{2}{3}j-\dfrac{2}{9}=\\
\dfrac{2}{3}j-\dfrac{2}{3}\cdot\dfrac{1}{3}=\\
\dfrac{2}{3}\left(j-\dfrac{1}{3}\right)

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The door to my classroom is 84 inches tall. How many blocks would I need to stack to the height of the door, If each block is 2
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Answer:

42 blocks

Step-by-step explanation:

If each block is 2 inches, and the height of the door is 84 inches, you need to divide the height by the block size. Once you divide 84 by 2, you should get 42 blocks as your answer.

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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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