The denominator of a fraction is greater than the numerator by 8. If the numerator is increased by 17 and denominator is decreas
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A heptagon has seven sides. The measure of the final interior angle of the heptagon is 124°.
<h3>What is heptagon?</h3>A heptagon, sometimes known as a septagon, is a seven-sided polygon. The heptagon is also known as the septagon, which combines the prefix "sept-" with the Greek suffix "-agon," which means "angle."
A heptagon has 7 sides therefore, the sum of the interior angle of the heptagon can be written as,
As it is said in the problem that the sum of the all the angles of the heptagon except one is 776°, therefore, the measure of the last angle of the heptagon is,
The measure of the last angle = 900° - 776° = 124°
Hence, the measure of the final interior angle of the heptagon is 124°.
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Bearing is a topic that can be used to <u>locate</u> the <em>position</em> of an object at a given time. Therefore, the blimp is <em>80 m</em> far away from its <u>starting</u> point. And in the<em> North-East </em>direction.
The <u>speed</u> of an object relates the <em>distance</em> it covers to the <u>time taken</u> to cover the said distance.
i.e speed =
⇒ distance = speed x time taken
In the given question, the <u>initial</u> distance covered can be determined as;
distance = 40 mph x 3 h
= 120 m
The<u> final </u>distance covered can be determined as;
distance = 40 mph x 1 h
= 40 m
Let the <u>distance</u> from its <em>starting</em> point to its <em>fina</em>l location be represented by x.
Thus applying the<em> Cosine rule</em>, we have:
=
+
- 2abCos C
=
+
- 2(120 x 40) Cos 90
= 14400 + 1600 - 9600
= 16000 - 9600
= 6400
x =
= 80
x = 80 m
Therefore, the <u>distance</u> of the blimp from its <em>starting</em> point to its <em>final</em> destination is <u>80 m</u>.
For more clarifications on bearings, visit: brainly.com/question/22979472
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