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Vesna [10]
3 years ago
14

What is the measure of Angle R M N?

Mathematics
1 answer:
pogonyaev3 years ago
6 0

Answer:

  63 degrees

Step-by-step explanation:

The interior angle at M is the supplement of the exterior angle at M.

 ∠RMN = 180° -117° = 63°

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Find the inner product for (-8,2) (4.5,18) and state whether the vectors are perpendicular.
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Answer: 0; Yes

Step-by-step explanation:

-8 x 4.5 = -36

2 x 18 = 36

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since the product is zero, the vectors are perpendicular

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a machine makes 5 buttons at a time. each doll shirt gets 5 buttons.how many doll shirts can be finished with 5 buttons?
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Can y’all please help me
Viefleur [7K]

Step-by-step explanation:

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Help me find the volume of the composite figure
Butoxors [25]

Answer:

V = 97.911in^3

Step-by-step explanation:

Given

Shapes: Cube and Cone

Required

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First we calculate the volume of the cube

V_1 = l^3

Where

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V_1 = 5.1^3

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Next, calculate the volume of the cone using:

V_2 = \frac{\pi r^2h}{3}

Where

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r = \frac{1}{2} * Diameter

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r = 2.55

So, we have:

V_2 = \frac{\pi r^2h}{3}

V_2 = \frac{\pi * 2.55^2 * 5.1}{3}

V_2 = \frac{22 * 2.55^2 * 5.1}{7*3}

V_2 = \frac{729.5805}{21}

V_2 = 34.74

The volume of the figure is:

V=V_1 - V_2

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V = 132.651 - 34.74

V = 97.911in^3

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2 years ago
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seraphim [82]
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Hope this helps! :)
~Asuka
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3 years ago
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