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Umnica [9.8K]
3 years ago
5

A rope 13 meters long will just reach from the top of a flagpole to a point on the ground 12 meters from teh base of the flagpol

e. Find the height of the flagpole
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
5 0

Answer:

the height of the flagpole is 5 meters

Step-by-step explanation:

The computation of the height of the flagpole is given below

Given that

the length of the rope is 13 meters

And, the ground would be 12 meters

Based on the above information, the height of the flagpole is

= √13^2 - √12^2

= √169 - √144

= √25

= 5 meters

hence the height of the flagpole is 5 meters

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Ede4ka [16]

The perimeter of the regular polygon is 70 inches

<h3>How to determine the perimeter of the regular polygon?</h3>

The sides of the regular polygon is given as:

Side = 10 in

The regular polygon has 7 sides

So, the perimeter of the polygon is calculated as:

P = Side lengths * Number of sides

This gives

P = 10 inches * 7

Evaluate

P = 70 inches

Hence, the perimeter of the regular polygon is 70 inches

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For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of
Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is (-1)^{k+1}(\frac{1}{2^{k}}).

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as (-1)^{k+1}(\frac{1}{2^{k}}).

where k is from 1 to 10.

By the given expression sequence will be \frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......

In this sequence first term "a" = \frac{1}{2}

and common ratio in each successive term to the previous term is 'r' = \frac{\frac{(-1)}{4}}{\frac{1}{2} }

r = -\frac{1}{2}

Since the sequence is infinite and the formula to calculate the sum is represented by

S=\frac{a}{1-r} [Here r is less than 1]

S=\frac{\frac{1}{2} }{1+\frac{1}{2}}

S=\frac{\frac{1}{2}}{\frac{3}{2} }

S = \frac{1}{3}

Now we are sure that the sum of infinite terms is \frac{1}{3}.

Therefore, sum of 10 terms will not exceed \frac{1}{3}

Now sum of first two terms = \frac{1}{2}-\frac{1}{4}=\frac{1}{4}

Now we are sure that sum of first 10 terms lie between \frac{1}{4} and \frac{1}{3}

Since \frac{1}{2}>\frac{1}{3}

Therefore, Sum of first 10 terms will lie between \frac{1}{4} and \frac{1}{2}.

Option D will be the answer.

3 0
3 years ago
Identify the like terms and terms <br> 1.4c + 11.4 - 2c - 7.3c =
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Like terms:
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3 years ago
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