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OLEGan [10]
2 years ago
13

The number of hours of​ daylight, H, on day t of any given year​ (on January​ 1, tequals​1) in a particular city can be modeled

by the function ​H(t)equals13 plus 8.2 sine [StartFraction 2 pi Over 365 EndFraction (t minus 77 )]. a. March 18​, the 77th day of the​ year, is the spring equinox. Find the number of hours of daylight in the city on this day. b. June 18​, the 169th day of the​ year, is the summer​ solstice, the day with the maximum number of hours of daylight. Find the number of hours of daylight in the city on this day. c. December 18​, the 352nd day of the​ year, is the winter​ solstice, the day with the minimum number of hours of daylight. Find the number of hours of daylight in the city on this day.

Mathematics
1 answer:
german2 years ago
7 0

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

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Solve the equation in the complex number system. x^2-12x+40=0
mylen [45]

solving the equation x^2-12x+40=0 we get x=6+2i\,\,and\,\,x=6-2i

Step-by-step explanation:

Solve the equation:

x^2-12x+40=0

We can solve using quadratic Formula:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

a= 1, b = -12, c = 40

Putting values:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-12)\pm\sqrt{(-12)^2-4(1)(40)}}{2(1)}\\x=\frac{12\pm\sqrt{144-160}}{2}\\x=\frac{12\pm\sqrt{-16}}{2}\\We\,\,know\,\,\sqrt{-1}=i\\ x=\frac{12\pm4i}{2}\\ x=\frac{12+4i}{2}\,\,and\,\, x=\frac{12-4i}{2}\\ x=\frac{4(3+i)}{2}\,\,and\,\, x=\frac{4(3-i)}{2}\\x=2(3+i)\,\,and\,\,x=2(3-i)\\x=6+2i\,\,and\,\,x=6-2i

So, solving the equation x^2-12x+40=0 we get x=6+2i\,\,and\,\,x=6-2i

Keywords: Solving quadratic equation

Learn more about Solving quadratic equation at:

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#learnwithBrainly

5 0
3 years ago
5) Amarian scored 24 points in the second half of the basketball game.
ki77a [65]
32 is the correct answer
5 0
2 years ago
The price of a watch was increased by 10% to £660. What was the price before the increase?
Bad White [126]

Answer:

£600

Step-by-step explanation:

First take if 110% equals to £660 what about 100%

100×660 =66000 ÷ 110 =£600

3 0
3 years ago
What is 22.5% written as a fraction in simplest form?
NISA [10]
Hi, your answer would be 9/40... 
3 0
3 years ago
Find the x-intercept and y-intercept of the line . 16+9x=4y​
andrezito [222]

Answer:

x-intercept=9

y-intercept=4

Step-by-step explanation:

hope this helps

7 0
2 years ago
Read 2 more answers
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