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Luda [366]
3 years ago
14

The foot of a ladder is placed 7meters from a wall. If the top of the ladder rests ,How long is the ladder

Mathematics
1 answer:
Virty [35]3 years ago
6 0

Answer: 11.4 m

Step-by-step explanation:

The scenario depicted is that of a right angled triangle with the 7 meters being the base and the 9 meters being the height.

The length of the ladder will therefore be the Hypothenuse.

Using the Pythagorean Rule:

a² + b² = c²

with c being the hypothenuse

7² + 9² = c²

49 + 81 = c²

c²= 130

c = √130

c = 11.4 m

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Solve for N, <br><br> −2p + 6n = 5
topjm [15]

Answer:

n=\frac{1}{3}p+\frac{5}{6}

Step-by-step explanation:

In this question, you are solving for n.

Solve:

−2p + 6n = 5

We have to get "n" by itself, so add 2p to both sides.

6n = 2p + 5

Since the variable "n" has a number next to it, we have to get rid of that number in order to get our answer.

To do so, we would divide both sides by 6.

n=\frac{2}{6}p+\frac{5}{6}

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5 0
3 years ago
Write the following series in sigma notation.<br> 7 + 16 + 25 +34 +43 +52 + 61
Solnce55 [7]

The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series

The sigma notation of the series is: \sum\limits^7_{n=1} {9n - 2}

<h3>How to write the series in sigma notation?</h3>

The series is given as:

7 + 16 + 25 +34 +43 +52 + 61

The above series is an arithmetic series, with the following parameters

  • First term, a = 7
  • Common difference, d = 9
  • Number of terms, n = 7

Start by calculating the nth term using:

a(n) = a + (n - 1) * d

This gives

a(n) = 7 + (n - 1) * 9

Evaluate the product

a(n) = 7  - 9 + 9n

Evaluate the difference

a(n) = 9n - 2

So, the sigma notation is:

\sum\limits^7_{n=1} {9n - 2}

Read more about arithmetic series at:

brainly.com/question/6561461

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