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2 years ago

Hawaii 0.288% = what fraction

Mathematics

1 answer:

Sindrei [870]2 years ago

4 0

Answer:

36⁄125 or if we are talking about the lowest term it is 9 /3125

Step-by-step explanation:

Step 1: 0.288 = 288⁄1000

Step 2: Simplify 288⁄1000 = 36⁄125 Percent" or "%" means "out of 100" or "per 100",

<em>Or for the lowest term:</em>

Therefore 0.288% can be written as

0.288

100

Next, we can multiply by

in the form of

1000

to eliminate the decimal in the numerator:

1000

0.288

100

⇒

1000

0.288

1000

100

⇒

288

100000

We can now reduce the fraction as:

288

100000

⇒

3125

⇒

3125

⇒

3125

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An exterior angle of a regular convex polygon is 40°. What is the number of sides of the polygon?

seraphim [82]

Answer:

option B

Step-by-step explanation:

Sum of interior angles of a polygon with n sides:

$= (n - 2 )\times 180$

$Therefore, Each \ interior \ angle = (\frac{n - 2}{n} )\times 180$

$Sum \ of \ one \ of \ the \ interior \ angle \ with \ its \ exterior \ angle \ is \ 180^\circ$

$[ \ because \ straight \ line \ angle = 180^\circ \ ]$

That is ,

$Exterior \ angle + Interior \ angle = 180^\circ\\\\40^ \circ + (\frac{n-2}{n}) \times 180 = 180^\circ\\\\40 n + 180n - 360 = 180n\\\\40n = 180n - 180n + 360 \\\\40n = 360 \\\\n = 9$

Sum of exterior angles of a regular polygon = 360

Given 1 exterior angle of the regular polygon is 40

Therefore ,

$n \times 40 = 360\\\\n = \frac{360}{40} \\\\n = 9$

8 0

2 years ago

Peter attends 6 lessons each week . A year he attends 52 weeks. But he missed 5 classes how many lessons did he attend during th

VMariaS [17]

You are given the information that he takes six lessons per week. First we will calculate the total lessons he could potentially take per year.

6 • 52 = 312

He could potentially take 312 lessons in one year.

Now that you know this information, you simply subtract the days he missed from that total.

312 - 5 = 307

Your final answer: Peter took 307 lessons during the year.

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3 years ago

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scoundrel [369]

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You drive 8 miles from your house to your friend's house. Your house is at an elevation of 240 feet. Your friend's house is at a

dedylja [7]

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