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ivolga24 [154]
3 years ago
13

I REALLY NEED HELP PLEASE!!

Mathematics
1 answer:
valina [46]3 years ago
5 0

Answer:

it's a

Step-by-step explanation:

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Step-by-step explanation:

x² + 4x - 1 - x =x² + 4x -x - 1  { bring the like terms together and add}

                     = x² + 3x - 1

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You are recreating a scale drawing at a different scale. The original scale is 1 cm : 8 m. The new scale is 1 cm : 2 m. In the o
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Answer:

The segment should be 36 centimeters long

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ The original scale is 1 cm : 8 m

∵ In the original drawing, the length of a segment is 9 centimeters

→ By using the ratio method

→  cm   :  m

→  1      :  8

→  9     :  x

→ By using the cross multiplication

∵ 1 × x = 9 × 8

∴ x = 72 m

∴ The actual length of the segment is 72 m

∵ The new scale is 1 cm : 2 m

∵ The actual length of the segment is 72 m

→ By using the ratio method

→  cm   :  m

→  1      :  2

→  y      :  72

→ By using the cross multiplication

∵ y × 2 = 1 × 72

∴ 2y = 72

→ Divide both sides by 2 to find y

∴ y = 36

∴ The drawing length of the segment is 36 cm in the new scale

∴ The segment should be 36 centimeters long

6 0
3 years ago
A water wheel has a radius measuring between 13 feet and 24 feet. The wheel is able to turn 7π9 radians from its starting positi
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Answer:

31.76 ft and 58.64 ft

Step-by-step explanation:

The radius measures between 13 feet and 24 feet.

The wheel is able to turn 7π/9 radians before getting stuck.

We need to find the range of distances that the wheel could spin before getting stuck. That is, the length of arc.

Length of an arc is given as:

L = \frac{\theta}{2\pi} * 2\pi r

where θ = central angle = 7π/9 radians

r = radius of the circle

Therefore, for 13 feet:

L = \frac{7\pi}{18 \pi} * 2 * \pi * 13\\\\L = 31.76 ft

For 24 feet:

L = \frac{7\pi}{18 \pi} * 2 * \pi * 24\\\\L = 58.64 ft

The wheel could spin between 31.76 ft and 58.64 ft before getting stuck.

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