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s2008m [1.1K]
3 years ago
10

The akashi kaikyo bridge in japan is about 1 4/9 times as long as the golden gate bridge in san francisco.The golden gate bridge

is about 9,000 feet long. About how long is the akashi kaikyo
Mathematics
1 answer:
Nostrana [21]3 years ago
4 0

Answer: 13,000\ feet\ long

Step-by-step explanation:

Let be "a" the lenght (in feet) of the Akashi Kaikyo Bridge in Japan  and "g" the lenght  (in feet) of the Golden Gate Bridge in San Francisco.

We can covert from mixed number to improper fraction by multplying the whole number part by the denominator of the fraction and adding this product to the numerator:

1\frac{4}{9}=\frac{(1*9)+4}{9}=\frac{13}{9}

Then, according to the information provided in the exercise:, we can write this equation:

 a=\frac{13}{9}g

Knowing that:

g=9,000

We can substitute this value into a=\frac{13}{9}g to find "a". Then we get:

a=\frac{13}{9}(9,000)=13,000

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S the following statement always, sometimes, or never true?
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The statement <em>“The supplement of an acute angle is an obtuse angle.”</em> is always true because the sum of any two supplementary angles is 180°, so if one of them less than 90° (acute), then the other must be greater than 90° (obtuse)

Step-by-step explanation:

Let us revise some facts about the supplementary angles

  • Supplementary angles are two angles the sum of their measure is 180°
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Let us take some examples to explain the facts above

∵ One of two supplementary angles is a right angle

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∵ The sum of the measures of the supplementary angles is 180°

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- Subtract 90 from both sides

∴ The measure of the supplement angle = 90°

∴ The supplement of a right angle <u><em>must be</em></u> a right angle

∵ One of two supplementary angles is 70°

∵ Its measure less than 90°

∴ This angle is an acute angle

∵ The sum of the measures of the supplementary angles is 180°

∴ 70 + the measure of the supplement angle = 180

- Subtract 70 from both sides

∴ The measure of the supplement angle = 110°

∵ Its measure greater than 90°

∴ The supplement angle is an obtuse angle

∴ The supplement of an acute angle <u><em>must be</em></u> an obtuse angle

The two supplementary angles can not be acute angles because their sum is less than 180°

The two supplementary angles can not be obtuse angles because their sum is greater than 180°

The statement <em>“The supplement of an acute angle is an obtuse angle.”</em> is always true because the sum of any two supplementary angles is 180°, so if one of them less than 90° (acute), then the other must be greater than 90° (obtuse)

Learn more:

You can learn more about the supplementary angles in brainly.com/question/11175936

#LearnwithBrainly

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