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3 years ago

5

Use vectors to show that, for any triangle1 in R², the points2 that are 2/3 of the way from a vertex to the midpoint of the oppo

site side are all the same point. This point is called the centroid of the triangle.
True / False.

1 answer:

Anit [1.1K]3 years ago

6 0

Answer:

True

Step-by-step explanation:

the centroid divides each median into segments with a 2:1 ratio(means 2/3)

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On average, Stan drinks 3/4 of a 8 ounce glass of water in 1/2 of an hour.

sweet [91]

<h3>Stan drinks 12 ounces of water in 1 hour</h3>

<em><u>Solution:</u></em>

Given that,

Stan drinks 3/4 of a 8 ounce glass of water in 1/2 of an hour

Which means,

$\frac{3}{4}\ of\ 8\ ounce = \frac{1}{2}\ hour$

$\frac{3}{4} \times 8 = 0.5\ hour\\$

Therefore,

6 ounces is drank in 0.5 hour

We have to find the water he drinks in an hour

Let "x" be the water he drinks in 1 hour

Thus we get,

6 ounce = 0.5 hour

x ounces = 1 hour

This forms a proportion and we can solve the sum by cross multiplying

$6 \times 1 = 0.5 \times x\\\\0.5x = 6\\\\x = \frac{6}{0.5}\\\\x = 12$

Thus, he drinks 12 ounces of water in 1 hour

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3 years ago

In 2010, the number of clown costumes sold at a single costume shop was 6. By 2015, that number had grown to 37. Assuming a cons

mars1129 [50]

Answer:

I think its 31

Step-by-step explanation:

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4 years ago

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In the election for presidency, Stan Fitz received 542 votes, Elizabeth Stuckey received 430 votes and Gene Sterner received 130

Snezhnost [94]

Answer:

The total number of eligible voters in the town = 1224 ( app.)

Step-by-step explanation:

Let us assume the total number of eligible voters = p

Now, the number of votes received by Stan Fitz = 542

The number of votes received by Elizabeth Stuckey = 430

The number of votes received by Gene Sterner = 130

So, the total number of votes received in total = 542 + 430 + 130 = 1,102

Now, only the 90% of total voters p voted in the election.

⇒ 90% of p = 1102

$\implies \frac{90}{100} \times p = 1102\\ \implies p = \frac{1102\times 100}{90} = 1224$

or, p ≈ 1224

Hence, the total number of eligible voters in the town = 1224 ( app.)

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3 years ago

HELP ME PLEASE!!! this dosent make sense

Andreyy89

Answer:

I think it would be D not sure tho hope this is helpful

4 0

4 years ago

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PLEASE HELP ASAP! Will give BRAINLIEST! Please answer correctly!<br><br> No guessing!

grigory [225]

Answer:

C

Step-by-step explanation:

it is defined for all real numbers.

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3 years ago

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