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SVETLANKA909090 [29]
3 years ago
13

Planet Strusenope travels one full rotation around its sun in approximately 365.25 days. How many minutes does it take for Strus

enope to travel one full rotation around the sun?
Mathematics
2 answers:
frozen [14]3 years ago
5 0
One revolution takes 365.25 days.

The time is equal to
(365.25 \, days)*(1440 \,  \frac{min}{day} ) = 525960 \, min

Answer: 525,960 minutes 
Mandarinka [93]3 years ago
5 0
<span>525960 min Assuming that the unit "days" matches the length of an Earth day, the answer is expressed as: 365.25 day * 24 hour/day = 8766 hour And now multiply by 60 to get the minutes. 8766 hour * 60 min/hour = 525960 min Therefore it takes "Planet Strusenope" 525960 minutes for one full rotation around the sun.</span>
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Expand and simplify (2x−12) ^2
lubasha [3.4K]

Answer:

\boxed{4x^{2}  - 48x + 144}

Step-by-step explanation:

Given expression:

  • (2x - 12)²

To simplify the expression, we will use the formula (a - b)² = a² - 2ab + b².

[Where "a and b" are the first and second term in (a - b)²]

\rightarrowtail (2x - 12)^{2}

In this case, the first term of (2x - 12)² is "2x" and the second term is "12".

\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \  [\small\text{First term = a = 2x; Second term = b = 12]}

Now, simplify the expression.

\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2}

\rightarrowtail (2x)(2x) - (4x)(12) + (12)(12)

\rightarrowtail \boxed{4x^{2}  - 48x + 144}

4 0
2 years ago
A home base sign company uses this function to model a monthly profit where X is the price of each sign it sells. p(x)= -10x + 4
devlian [24]

Answer:

4,460

Step-by-step explanation:

3 0
2 years ago
HELP! What is the volume in cubic inches of the solid figure, rounded to the nearest cubic inch?
Setler [38]

Answer:

Volume of the solid figure = 1131 cubic inches

Step-by-step explanation:

Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism

Volume of half cylindrical prism = \frac{1}{2}(\pi r^2h)

                                                     = (\frac{1}{2})(\pi )(17-11)^2(6)

                                                     = 339.29 cubic inch.

Volume of the rectangular prism = (length × width × height)

                                                      = 11 × 6 × 12

                                                      = 792 cubic inches

Volume of the solid figure = 339.29 + 792

                                            = 1131.29

                                            ≈ 1131 cubic inches

8 0
3 years ago
Blake and James are planning to go on a trip. Blake already has some money saved. She earns $96 more by working overtime. James
rosijanka [135]

Blake saved \bold{\$ 433.80}

Option - A

<u>SOLUTION: </u>

Given, Blake and James are planning to go on a trip.  

Blake already has some money saved.  

Let the amount saved by Blake be \$ n.

She earns \$96 more by working overtime.  

Then, total amount by Blake =\$(n+96)

James has \$ 53 more than 4 times the amount of money that Blake has saved.  

Then, total amount by James will be \$ 53+4 \times \$ n=\$(4 n+53)

If they have \$2,318 in all, we have to find how much money had Blake originally saved

Now, total amount = \$2318

\begin{array}{l}{\rightarrow \text { Amount by Blake }+\text { amount by James }=2318} \\\\ {\rightarrow \mathrm{n}+96+4 \mathrm{n}+53=2318 \rightarrow 5 \mathrm{n}+149=2318 \rightarrow 5 \mathrm{n}=2318-149 \rightarrow 5 \mathrm{n}=2169 \rightarrow \mathrm{n}=433.8}\end{array}

7 0
3 years ago
Suppose that is in standard position and the given point is on the terminal side of 0. Give the exact value of the indicated tri
Lilit [14]

Answer:

  12/13

Step-by-step explanation:

The length of the segment from the origin to the terminal point is ...

  r = √((-5)² +12²) = √169 = 13

The sine of the angle is the ratio of the y-coordinate to this distance

  sin(θ) = y/r = 12/13

_____

Additional comment

The other trig functions are ...

  cos(θ) = x/r = -5/13

  tan(θ) = y/x = -12/5

This is a 2nd-quadrant angle, where the sine is positive, but the cosine and tangent are negative.

6 0
2 years ago
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