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ICE Princess25 [194]
3 years ago
6

IM SOOOO STUCKKKK HELLPPPPPPPPPPP!!

Mathematics
2 answers:
KonstantinChe [14]3 years ago
3 0

Answer:

18

Step-by-step explanation:

x² = 16² + 30² - 2(16)(30)cos 30°

x² = 256 + 900 - 960(0.866)

x² = 1156 - 831.36

x² = 324.64

x = 18.02

Approx. 18

Please mark my answer as brainliest

kykrilka [37]3 years ago
3 0

Answer:

18.01

Step-by-step explanation:

c^2=a^2+b^2-2abcos 30=

   = 16^2+30^2-2(16)(30)(cos30)             cos30=0.866

   = 1156-480√3 = 324.6156

c=√324.6156=18.01

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An arithmetic series begins 29+25+21+... <br> find the maximum value that the series could have
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The series' value is maximized if the sum only consists of positive terms. Notice that each term in the sum takes the form 4<em>n</em> + 1 for integer <em>n</em>. This means the smallest positive integer that the sum can involve is 1, so the maximum value is

<em>S</em> = 29 + 25 + 21 + … + 9 + 5 + 1

Reversing the order of terms gives the same sum,

<em>S</em> = 1 + 5 + 9 + … + 21 + 25 + 29

Adding terms in the same positions gives us twice this sum,

2<em>S</em> = (29 + 1) + (25 + 5) + (21 + 9) + … + (1 + 29)

Notice how each grouped sum adds to 30. There are 8 terms in the sum, since 4<em>n</em> + 1 = 29 when <em>n</em> = 8. So

2<em>S</em> = 8 × 30 = 240   ===>   <em>S</em> = 120

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Doug earns $3.00 per hour working at a restaurant. On Friday, he spent 1 3/4 hours cleaning, 2 1/3 hours doing paperwork, and 1
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Step-by-step explanation:

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3 years ago
How is six and five hundredths written in expanded notation and numerals
Usimov [2.4K]

Answer:

In Expanded notation it is 6\times 1 + 5\times \frac{1}{100}

In numerals it is 6.05

Step-by-step explanation:

Expanded notation

Expanded notation is a helpful way to rewrite numbers in order to show the place value of each digit.

Normal number  of we have

.........,Hundred, Tens ,Unit

eg. 1.)  514

5  = hundred place

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4= unit place

Now for decimal numbers

tenths,hundredths,thousandths........

eg. 1.) 0.25

0 = unit place

2 = tenths place  \frac{1}{10}

5 = hundredths place \frac{1}{100}

We will have example in numerals and it expanded notation.

1.

6.05 ( six and five hundredths)

Expanded form

6\times 1 + 5\times \frac{1}{100}

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5 is in Hundredths place

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4 years ago
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Step-by-step explanation:

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