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2 years ago

What is 254−−√+524−−√ in simplified radical form? Enter your answer in the box.

Mathematics

2 answers:

Vesna [10]2 years ago

8 0

Answer:

Step-by-step explanation:

2√54+5√24

2 * sqrt(9*6) + 5*sqrt(4*6)

2*sqrt(9) *sqrt(6) + 5*sqrt(4) * sqrt(6)

2*3 sqrt(6) + 5*2 sqrt(6)

6sqrt(6)+10sqrt(6)

16sqrt(6)

Setler [38]2 years ago

4 0

Answer:

16sqrt(6)

Step-by-step explanation:

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2 years ago

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What is the value of the fourth term in a geometric sequence for which a1 = 30 and r = 1/2?

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Step-by-step explanation: We are given to find the value of the fourth term in a geometric sequence with first term and common ratio as follows :

$a(1)=30,~~~~~r=\dfrac{1}{2}.$

We know that

the n-th term of a geometric sequence with first term a1 and common ratio r given by

$a(n)=a(1)r^{n-1}.$

Therefore, the fourth term of the given geometric sequence will be

$a(4)=a(1)r^{4-1}=30\times r^3=30\times\left(\dfrac{1}{3}\right)^3=\dfrac{30}{27}=\dfrac{10}{9}.$

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2 years ago

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Cora makes a scarf with cloth rectangles and triangles. For every 5 pieces of cloth, 2 are rectangles. She needs 15 pieces of cl

PtichkaEL [24]

Answer: There are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.

Explanation:

Since we have given that

For every 5 pieces of cloth, 2 are rectangles

So, remaining piece will be of triangle so,

$5-2=3$

3 are triangles.

Ratio of rectangles to triangles is 2:3.

Now, she needs 15 pieces of cloth to complete her scarf,

So, Number of rectangles is needed is given by

$\frac{2}{5}\times 15\\\\=2\times 3\\\\=6$

Number of triangles is needed is given by

$\frac{3}{5}\times 15\\\\=3\times 3\\\\=9$

Hence, there are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.

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3 years ago