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Rufina [12.5K]
3 years ago
10

Write the rational number 2.13 repeating as the ratio of two integers

Mathematics
1 answer:
zmey [24]3 years ago
6 0

Let

x = 2.131313... Equation 1

Multiply both sides by 100 to get:

100x = 213.131313... Equation 2

Subtract equation 1 from equation 2.

99x = 211

x = 211/99

Answer: 211/99

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Indicate a general rule for the nth term of this sequence. -6b, -3b, 0b, 3b, 6b. . .
GREYUIT [131]

Answer:

a(n) = -16b + (n - 1)(3b)

Step-by-step explanation:

First term is -6b.

Common difference is 3b; each new term is equal to the previous one, plus 3b.

Formula for this arithmetic sequence is

a(n) = -16b + (n - 1)(3b)

4 0
3 years ago
An acute triangle has side lengths 21 cm, x cm, and 2x cm. if 21 is one of the shorter sides of the triangle, what is the greate
madam [21]

Given that the sides of the acute triangle are as follows:
21 cm
x cm
2x cm

Stated that 21 cm is one of the shorter sides of the triangle2x is greater than x, so it follows that 2x MUST be the longest side


For acute triangles, the longest side must be less than the sum of the 2 shorter sides
Therefore, 2x < x + 21cm
2x – x < 21cm
x < 21cm

If x < 21cm, then 2x < 42cm
Therefore, the longest possible length for the longest side is 42cm
8 0
3 years ago
Read 2 more answers
Please help now !!!!!
vekshin1

the answer is I don’t know

?

?

?

4 0
3 years ago
Please help me if you can ​
IRISSAK [1]

Answer:

8π in

64π mm²

Step-by-step explanation:

The circumference of a circle is equal to 2πr, where r is the radius.

2π(4) = 8π ≈ 25.132

The area of a circle is equal to πr²

π(8)² = 64π ≈ 201.062

8 0
3 years ago
I need help with this question can some please help me !
nalin [4]

Answer:

you just shoed the answers

Step-by-step explanation:

6 0
3 years ago
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