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Anvisha [2.4K]
3 years ago
9

Question of the day:

Mathematics
1 answer:
kogti [31]3 years ago
7 0

Answer:

  12 days 16 hours 22 minutes 7.5 seconds

Step-by-step explanation:

You are interested in the proportion ...

  earth time / heaven time = (1000 years)/(1 day) = (x days)/(3 seconds)

Multiplying by 3 seconds, we find ...

  x days = (3 seconds)(1000 years)/(1 day)

If we convert 1000 years to days, then the formula will give us "x days" as a number of seconds.

1000 years is a long enough time period that all of the leap-year rules come into play. So, we will use the average number of days in a year as 365.2425. Then 1000 years is 365,242.5 days, and we get ...

  x days = (3 seconds)(354,242.5) = 1,095,727.5 seconds

There are 3600 seconds in 1 hour, so this is ...

  x days = (1095727.5 s)/(3600 s/h) = 304.36875 h

The fraction of an hour converts to 22 minutes 7.5 seconds. The 304 hours converts to 12 days 16 hours.

When Gabe starts blowing his horn, we have 12 days 16 hours 22 minutes 7.5 seconds left on Earth.

_____

The number of minutes and seconds will vary, depending on what you consider to be the number of days in a year.

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Henry want to know how long his patio is . He said the perimeter of his patio is 48 feet . He knows that one side of his patio i
telo118 [61]

Answer:

Step-by-step explanation:

Perimeter = 48 feet

2*(length + width) = 48

2*(9 + width ) = 48

Divide both sides by 2.

9 + width = 48/2

9+width = 24

Subtract 9 from both sides.

9+width - 9 = 24 - 9

Width = 15 feet

6 0
4 years ago
Find the two small as possible solutions ​
solong [7]

Answer:  \bold{b)\quad \dfrac{5}{6},\ \dfrac{25}{6}}

<u>Step-by-step explanation:</u>

12cos\bigg(\dfrac{2\pi}{5}x\bigg)+10=16\\\\\\12cos\bigg(\dfrac{2\pi}{5}x\bigg)=6\\\\\\cos\bigg(\dfrac{2\pi}{5}x\bigg)=\dfrac{1}{2}\\\\\\cos^{-1}\bigg[cos\bigg(\dfrac{2\pi}{5}x\bigg)\bigg]=cos^{-1}\bigg(\dfrac{1}{2}\bigg)

\text{Use the Unit Circle to determine when}\ cos=\dfrac{1}{2}\quad \rightarrow \quad\text{at}\ \dfrac{\pi}{3}\ and \ \dfrac{5\pi}{3}\\\\\\\dfrac{2\pi}{5}x=\dfrac{\pi}{3}\qquad and\qquad \dfrac{2\pi}{5}x=\dfrac{5\pi}{3}\\\\\\\bigg(\dfrac{5}{2\pi}\bigg)\dfrac{2\pi}{5}x=\dfrac{\pi}{3}\bigg(\dfrac{5}{2\pi}\bigg)\quad and\quad \bigg(\dfrac{5}{2\pi}\bigg)\dfrac{2\pi}{5}x=\dfrac{5\pi}{3}\bigg(\dfrac{5}{2\pi}\bigg)\\\\\\.\qquad \qquad \large\boxed{x=\dfrac{5}{6}\qquad and \qquad x=\dfrac{25}{6}}

6 0
3 years ago
Read 2 more answers
Through (3,5) parallel to y = 5x - 1
qwelly [4]

Answer:

y=5x-10

Step-by-step explanation:

graphed it

7 0
4 years ago
Which step requires revision, and how should it be corrected?​
Yuliya22 [10]
The step that requires division is the checking step
3 0
4 years ago
The sum of two numbers is 3. The difference between five times the first number and four times the second number is 6. Find the
stellarik [79]

Answer:

1 and 2

2+1=3

2×5=10

1×4=4

10-4=6

4 0
4 years ago
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