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Ksenya-84 [330]
3 years ago
8

On Monday, a security guard spent 4.5 hours on patrol and 2 hours on surveillance. On Tuesday, the officer spent 1 hour and 40 m

inutes on surveillance and 3 hours on patrol. Which day has a greater ratio of time on surveillance to time on patrol
Mathematics
1 answer:
Troyanec [42]3 years ago
6 0
The first one is greater, since 4.5:2 is greater than 1.66:3
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The sun shines at a 30° angle to the ground. To the nearest inch, how long is the shadow cast by a 72-in. tall fence post?
tensa zangetsu [6.8K]

The length of the shadow is 124.7 in

<u>Explanation:</u>

<u />

Given:

Angle, θ = 30°

Height of the fence,  h = 72 in

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Given:

tan 30° = \frac{perpendicular}{base}  = \frac{height of the fence}{length of the shadow}

\frac{1}{\sqrt{3} } = \frac{72}{l} \\\\l = 72\sqrt{3} \\\\l = 124.7 in

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Answer:

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A boiler room has the shape of a rectangular prism. The area of the floor of the room is 112 square feet. The length of the room
Naddik [55]

Answer:

Length = 16 feet.

Width = 7 feet

Height = 8 feet

Volume = 896 cubic feet.

Step-by-step explanation:

There is a rectangular prism boiler room. 112 square feet is the floor area of the room.

Let the length of the room is L feet and width is W feet.

So, LW = 112 ...... (1)

Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get  

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Hence, from equation (2) we get L = 2W + 2 = 16 feet.

Now, 1 foot more than the width is the height H.

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