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REY [17]
3 years ago
14

30-60-90 triangle..find the value of x

Mathematics
1 answer:
stealth61 [152]3 years ago
4 0

Answer:

21/√3=7√3 or 12.12 simplified

Step-by-step explanation:

Here is the formulas 30-60-90 triangle: hypotenuse = 2short leg short leg = nhypotenuse/2 long leg = short leg√3 short leg = long leg/√3

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Mr. Lee gave his four children $25.40 to share equally. How much money did each child get?
Len [333]

Answer: the answer is 6.38

Step-by-step explanation: You have to divide 25.40/4 you can use base ten blocks or draw it out or just divide that is how i got the answer!

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2 years ago
200 σ j=1 2j( j 3) describe the steps to evaluate the summation. what is the sum?
ziro4ka [17]

The sum of the equation is  = 5494000.

<h3>What does summation mean in math?</h3>

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

<h3>Briefing:</h3>

Distribute 2j to (j+3).

Rewrite the summation as the sum of two individual summations.

Evaluate each summation using properties or formulas from the lesson.

The lower index is 1, so any properties can be used.

The sum is 5,494,000.

<h3>Calculation according to the statement:</h3>

\sum_{j=1}^{200} 2 j(j+3)

simplifying them we get:

\sum_{j=1}^{200} 2 j^{2}+6 j

Split the summation into smaller summations that fit the summation rules.

\sum_{j=1}^{200} 2 j^{2}+6 j=2 \sum_{j=1}^{200} j^{2}+6 \sum_{j=1}^{200} j

\text { Evaluate } 2 \sum_{j=1}^{200} j^{2}

The formula for the summation of a polynomial with degree 2

is:

\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}

Substitute the values into the formula and make sure to multiply by the front term.

(2)$$\left(\frac{200(200+1)(2 \cdot 200+1)}{6}\right)$$

we get: 5373400

Evaluating same as above : 6 \sum_{j=1}^{200} j

we get: 120600

Add the results of the summations.

5373400 + 120600

= 5494000

The sum of the equation is  = 5494000.

To know more about  summations visit:

brainly.com/question/16679150

#SPJ4

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2 years ago
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Step-by-step explanation:

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Order : 6 9 9 10 12 15 15 17 18

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mode: 9 and 15

range: 12
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Identify the vertex of the graph tell wether it is a minimum or maximum
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