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aleksklad [387]
2 years ago
6

A living room has a circular rug. According to a small tag, the rug has a circumference of 6.28 yards. What is the rug's area?

Mathematics
1 answer:
cluponka [151]2 years ago
6 0

Answer:

A = 3.14 yd^2

Step-by-step explanation:

The circumference  is given by

C = 2 * pi * r

Letting pi be approximated by 3.14

6.28 = 2 * (3.14) *r

6.28 = 6.28 r

Divide each side by 6.28

6.28/6.28 = 6.28r/6.28

1=r

We can find the area by

A = pi r^2

A = 3.14 (1)^2

A = 3.14

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Volgvan
Based on the answer choices, we suspect you intend
.. (x -1) +26 = -4x

This simplifies to
.. x +25 = -4x
.. 25 = -5x . . . . . subtract x
.. -5 = x . . . . . . . divide by the coefficient of x

Selection D appears to be appropriate for the question we think you asked.
4 0
3 years ago
Zara has forgotten her 4-digit PIN code. She knows the first digit is a factor of 20 and the 4 digits make a number divisible by
KatRina [158]

Answer:

800 different sets of digits.

Step-by-step explanation:

Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.

For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.

So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits

6 0
3 years ago
Find the value of x. Round the length to the nearest tenth.
elena-s [515]

Answer:

The answer is. 5 cause 40÷8=5

4 0
2 years ago
What is the slope of the graph of y= 18x + 6
NeX [460]

Answer:

18

Step-by-step explanation:

y=mx + b

m is the slope.

Therefore, 18 should be the slope

7 0
3 years ago
Select the common ratio and the 4th term of the geometric series: 9, -6,4...
Blababa [14]

The given geometric sequence has the common ratio, <u>r = -2/3</u>, and the value of the 4th term, <u>a₄ = -8/3</u>.

A geometric sequence is a special series where every term is the product of the previous term and a common ratio.

The first term of a geometric sequence is represented as a, the common ratio as r, and the n-th term as aₙ, which is calculated as, aₙ = a.rⁿ⁻¹.

In the question, we are asked to find the common ratio and the 4th term of the geometric sequence, 9, -6, 4, ........

The first term of the sequence, a = 9.

The second term of the sequence, a₂ = -6.

By the formula of the n-th term, aₙ = a.rⁿ⁻¹, we can show that:

a₂ = a.r²⁻¹.

Substituting the values, we get:

-6 = 9(r²⁻¹),

or, r²⁻¹ = -6/9,

or, r = -2/3.

Thus, the common ratio of the given geometric sequence is <u>-2/3</u>.

The 4th term can be calculated using the formula of the n-th term, aₙ = a.rⁿ⁻¹ as:

a₄ = a.r⁴⁻¹ = a.r³.

Substituting the values, we get:

a₄ = 9(-2/3)³,

or, a₄ = 9.(-8/27),

or, a₄ = -8/3.

Thus, the 4th term of the given geometric sequence is <u>-8/3</u>.

Learn more about a geometric sequence at

brainly.com/question/24643676

#SPJ1

3 0
1 year ago
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