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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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Adams, Greensburg, Middletown, and Waldron are four towns in Indiana on a nearly straight highway. If the highway is represented
andrey2020 [161]

Answer:

W, M, A and G

Step-by-step explanation:

The question is not correct, the correct question is Adams, Greensburg, Middletown, and Waldron are four towns in Indiana on a nearly straight highway. If the highway is represented by a line, the  towns can be represented by four points: A, G, M, and W. Given that MG + WM = WG and MA = MG - AG determine the  proper order of the four towns.

Answer: The line segment addition postulate states that for a line segment AC with point B which lines on AC, then this equation holds:

AB + BC = BC

Given that MG + WM = WG, this means that point M lies between the segment WG.

Also, MA = MG - AG

MA + AG = MG, hence point A lies between segment MG

Therefore the order of the points is W, M, A and G

8 0
2 years ago
1 What is 411,600,000 in scientific notation. ​
Eduardwww [97]

Answer: 411.6

Step-by-step explanation: What is 411.6 Million in Scientific Notation?

To answer the question what is 411.6 million in scientific notation let’s recall how to convert 411,600,000 to scientific notation as detailed on our home page.

If you split the number 411600000 into a coefficient and a power of 10 you do get 411.6 million in exponential form, but there is an indefinite number of possibilities.

As you probably want 411.6 million in normalized scientific notation, the coefficient or significand of 411.6m in scientific notation must be in the interval [1,10[.

As there are many ways to express 411.6 million in scientific notation, in this post we mean 411.6 million in normalized scientific notation, unless stated otherwise.

4 0
3 years ago
Hey 20 points for the first person to show work and answer this​
Harrizon [31]

Step-by-step explanation:

First, the pizza is 18 inches in diameter, so

d = 18

and, because the radium is half of the diameter,

r = 9

<u>Note that the units are inches.</u>

Using the equation

a = \pi  r ^{2}

where a is the area of a circle, we know that the area of the whole pizza is approx.254.5 square inches. Divide by 8 to find the area of 1/8 of a pizza. Each slice will have an area of approx. 32 square inches. For a precise result, the answer is

a(s)=  \frac{(\pi  \times 9^{2})}{s}

where a(s) is the area of a slice of pizza, and s is the total number of slices, given they are equal in size.

5 0
3 years ago
Please solve quickly ​
Alex Ar [27]

Answer:

77 inches

Step-by-step explanation:

sector formula = x°/360° × πr^2

=77°/360°×22/7×10.7×10.7

=76.96 in

As it is asked the nearest tenth it's 77 inches.

7 0
1 year ago
Read 2 more answers
Which of the pairs (2, 3), (1, 2.5), (6, 1), or (−2, 2) is the solution to the equation 4y−x= 10?
horrorfan [7]

Answer:

(2,3)

Step-by-step explanation:

4(3)-(2)=10

12-2=10

The answer is (2,3)

6 0
2 years ago
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