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ValentinkaMS [17]
3 years ago
9

Nora has a piece of ribbon that is 3/4 yard long.She will use 1/2 of it to make a bow.What length of the ribbon Will she use fro

m the bow
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
4 0
\frac { 3 }{ 4 } 's \frac { 1 }{ 2 } is equal to :

\frac { 3 }{ 4 } \cdot \frac { 1 }{ 2 } =\frac { 3\cdot 1 }{ 4\cdot 2 } =\frac { 3 }{ 8 }
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Given that k-5, k+7, k+55 are three consecutive terms in a geometric sequence, solve for k​
choli [55]

Answer:

k = 9

Step-by-step explanation:

Given:

Consecutive Terms:  k-5, k+7, k+55

Required:

Determine the value of k

To do this, we make use of the concept of common ratio.

The common ratio (r) of a geometric sequence is:

r = \frac{T_{n}}{T_{n-1}}

In other words:

r = \frac{T_3}{T_2} = \frac{T_2}{T_1}

Where 1, 2 and 3 represents the terms of the progression/sequence

So:

r = \frac{T_3}{T_2} = \frac{T_2}{T_1} becomes

\frac{k+55}{k+7} = \frac{k+7}{k-5}

Cross Multiply:

(k+55)(k-5) = (k+7)(k+7)

Open Brackets

k^2 + 55k - 5k - 275 = k^2 + 7k + 7k + 49

k^2 + 50k- 275 = k^2 + 14k + 49

Collect Like Terms

k^2 - k^2 + 50k-14k  = 275 + 49

36k  = 324

Solve for k

k = 324/36

k = 9

5 0
3 years ago
What is the square root of –16?
jeka94
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I is the square root of negative one
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3 years ago
What is the area of a square with a length of 12 cm?
Andre45 [30]

Answer:

A = a^2

Step-by-step explanation:

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For the upcoming parade, Lauren needed to make her school's triangular flag into a larger, similar triangular flag. Using the in
RoseWind [281]

The ratio of corresponding sides of the triangle are not in the same proportion, hence they are not similar.

<h3>What are similar triangles?</h3>

Two triangles are said to be similar if they have the same shape and angles. Also, the ratio of their corresponding sides are to be in the same proportion.

From the image shown, if the triangles are similar, hence:

AB / DE = AC / DF = BC / EF

Hence:

5.6 / 4 = 4.9 / 3.5 ≠ 2.4 / 1.5

1.4 = 1.4 ≠ 1.6

The ratio of corresponding sides of the triangle are not in the same proportion, hence they are not similar.

Find out more on similar triangles at: brainly.com/question/2644832

#SPJ1

8 0
2 years ago
George wants to invest $3,250. American Bank offers a simple interest rate of 4%, while Liberty Savings offers an interest rate
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Answer:

Step-by-step explanation:

73.03

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