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Kamila [148]
3 years ago
10

Please help it’s due in 10 minutes I will also venmo you $5

Mathematics
1 answer:
hram777 [196]3 years ago
7 0

Answer:

\arc{PNM} = 222

Step-by-step explanation:

Central angle = measure of the arc it subtends

Therefore:

\arc{PN} = \arc{PM} = 138

A full circle = 360°

So,

\arc{PN} + \arc{PM} + \arc{NM} = 360

Plug in the values

138 + 138 + \arc{NM} = 360

276 + \arc{NM} = 360

\arc{NM} = 360 - 276 (subtraction property of equality)

\arc{NM} = 84

\arc{PNM} = \arc{NM} + \arc{PN}

Plug in the values

\arc{PNM} = 84 + 138

\arc{PNM} = 222

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Answer:

37.59 nautical miles

Explanation:

Distance = Speed x Time

The speed of the first ship = 12 knots

Thus, the distance covered after 1.5 hours

\begin{gathered} =12\times1.5 \\ =18\text{ miles} \end{gathered}

The speed of the second ship = 22 knots

Thus, the distance covered after 1.5 hours

\begin{gathered} =22\times1.5 \\ =33\text{ miles} \end{gathered}

The diagram representing the ship's path is drawn and attached below:

The angle at port = 90 degrees.

The triangle is a right triangle.

Using Pythagorean Theorem:

\begin{gathered} c^2=a^2+b^2 \\ c^2=18^2+33^2 \\ c^2=324+1089 \\ c^2=1413 \\ c=\sqrt[]{1413} \\ c=37.59\text{ miles} \end{gathered}

The two ships are 37.59 nautical miles apart after 1.5 hours.

8 0
1 year ago
A prism has a length of 5 meters, height of 6 meters, and width of 1 meter.
Svetradugi [14.3K]

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Step-by-step explanation:

To get the volume of a rectangular prism, multiply the width times the length times the height.

1 x 5 x 6 = 30

Add the unit label

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X – 81 = 1<br> X = ? <br> Pleaseee help me I’m strugglinggg
Firdavs [7]

Answer:

\huge{ \fbox{ \sf{82}}}

Step-by-step explanation:

\star{ \text{ \: x - 81 = 1}}

\text{Step \: 1 \:  : Move \: 81 \: to \: right \: hand \: side \: and \: change \: it's \: sign}

\hookrightarrow{ \sf{x = 1 + 81}}

\text{Step \: 2 \:  : Add \: the \: numbers : 1 \: and \: 81}

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Hope I helped!

Best regards! :D

~\sf{TheAnimeGirl}

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Answer:

P= 6h

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