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FromTheMoon [43]
3 years ago
15

A train has one engine and six train cars. Find the total number of ways an engineer can arrange the train. (The engine must be

first.)
Mathematics
1 answer:
enot [183]3 years ago
4 0

Answer: 720 ways

Step-by-step explanation:

Given

A train has 1 main engine and remaining 6 train cars

If the engine is always in the front the remaining train cars can be arranged is

\Rightarrow \text{No. of ways}=6!=720\ \text{ways}

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Factor the polynomial by its greatest common monomial factor.<br> 12kº – 30k4 =
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Answer:

6(2 - 5k^4).

Step-by-step explanation:

12k^0 - 30k^4

Now k^0 = 1 so the polynomial becomes

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1 dollar = 1.2 euros
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85 yen are equivalent to 1 euro ⇒ answer O

Step-by-step explanation:

The given is:

  • 1 dollar = 1.2 euros
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We need to find how many yens are equivalent to 1 euro

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- Equate the two right sides of 1 dollar

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∴ 1 euro = 85 yen

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What is Histogram. Explain with an example? (Research work)
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Step-by-step explanation:

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5 0
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An ecologist wishes to find the height of a redwood tree that is on the other side of a creek, as shown in the figure below. Fro
tatyana61 [14]

Answer:

The height h of the tree is 62.0 feet

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

step 1

Find the length side AC

In the right triangle ABC

tan(85.8^o)=\frac{AC}{AB} ----> by TOA (opposite side divided by the adjacent side)

substitute the given value

tan(85.8^o)=\frac{AC}{24.8}

AC=tan(85.8^o)(24.8)

AC=337.7\ ft

step 2

Find the length side CD (height of the tree)

In the right triangle ACD

tan(10.4^o)=\frac{CD}{AC} ----> by TOA (opposite side divided by the adjacent side)

substitute the given value

tan(10.4^o)=\frac{CD}{337.7}

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