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katrin2010 [14]
3 years ago
6

Jane has 3 yards of ribbon. It takes 1/4 of a yard to make a bracelet. How many bracelets can she make?

Mathematics
1 answer:
Art [367]3 years ago
7 0

Answer:

12 bracelets

Step-by-step explanation:

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A ribbon is cut into n parts. The length of each part increases such that they form a geometric progression. SPM Given the lengt
emmainna [20.7K]

Answer:

Step-by-step explanation:

Let\ say\ r \ the \common\ ratio:\\a)a_4=r^2*a_2=9*a_2\Longrightarrow\ r=3\ (not\ -3\ since\ parts\ are\ positive)\\\\b)\\\displaystyle \sum_{i=1}^{n} a_i =a_1+a_2+a_3+...+a_n\\\\=a_1+a_1*r+a_1*r^2+a_1*r^3+...+a_1*r^{n-1}\\\\=a_1*(1+r+r^2+...+r^{n-1})\\\\=a_1*\dfrac{r^n-1}{r-1} \\\\147620=5*\frac{(3^n-1)}{3-1} \\\\3^n-1=\frac{2*147620}{5} \\\\3^n=59049 \\\\n*ln(3)=ln(59049)\\\\n=\dfrac{ln(59049)}{ln(3)} \\\\n=10\\\\a_n=5*3^{10-1}=5*19683=98415(cm)

5 0
3 years ago
In ΔGHI, the measure of ∠I=90°, the measure of ∠H=52°, and HI = 63 feet. Find the length of IG to the nearest tenth of a foot.
AveGali [126]

Answer:

80.6

Step-by-step explanation:

5 0
3 years ago
Factor the polynomial F(x) =x^3-x^2-4x+4 completely.
Norma-Jean [14]

Answer:

Step-by-step explanation:

PART 1:

Possible roots by noticing the coefficient of first term:

x = 1, -1

PART 2:

1 | 1  -1  -4   4

 <u>      1   0  -4</u>

   1   0  -4  0

The remainder is zero, hence one factor is (x-1)

PART 3:

x^3-x^2-4x+4=(x^2-4)(x-1)\\\\x^3-x^2-4x+4=(x+2)(x-2)(x-1)

PART 4:

f(x)=(x+2)(x-2)(x-1)\\\\=(x^2-4)(x-1)\\\\=x^3-4x-x^2+4\\\\=x^3-x^2-4x+4

6 0
3 years ago
What's the correct answer
ratelena [41]
The answer is A, the equation shows a proportional relationship because the graph shows a straight line. However, it is not DIRECTLY proportional as it does not pass through the origin.
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3 years ago
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for your birthday, your parents take you out to dinner and offer to let you have any 2 desserts on the menu. the restaurant, fam
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The answer is 48 because you multiply all the numbers.
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