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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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(x,-4) and (2,8): m = -3 find the missing value. it is in slope formula.
Snezhnost [94]

Answer:

The value of x = 6

Step-by-step explanation:

Given

  • The point (x,-4)
  • The point (2,8)

To determine

  • m = -3

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

here:

  • (x₁, y₁) = (x, -4)
  • (x₂, y₂) = (2, 8)
  • m = -3

so substitute (x₁, y₁) = (x, -4) , (x₂, y₂) = (2, 8)  and m = -3

m =  [y₂ - y₁] /  [x₂ - x₁]

-3 =  [8 - (-4)] / [2 - x]

-3 = [12] / [2-x]  

-3 (2-x) = 12

-6+3x = 12

3x = 12+6

3x = 18

divide  both sides by 3

3x/3 = 18/3

x = 6

Therefore, the value of x = 6

7 0
3 years ago
Write two equivalent fractions for the point on the number line.
navik [9.2K]

The values on the number line are between 0 and 1. There are 8 points from 0. The distance between two consecutive points would be

1/8 = 0.125

Since the given point is on the second point after 0, the equivalent value would be

2 * 1/8 = 2/8

Dividing the numerator and denominator of 2/8 by 2, we have 1/4

Thus, the two equivalent fractions for the point on number line are

2/8 and 1/4

5 0
1 year ago
4. Don designed a triangular-shaped garden. Use the diagram to answer each question.
mote1985 [20]
This is a 45-45-90 triangle or a right triangle created by the sides.

Because of this being a right triangle and 45 degrees being given already for one angle you would add 90 and 45 which will give you 135. You would subtract 135 from 180 because all the angles of a triangle add up to 180°. 180-135=45. X=45°
8 0
3 years ago
Read 2 more answers
Are the triangles congruent, if so by what theorem/postulate
liberstina [14]

Yes, SSS

PR are already a given side. PS and PQ are also given sides. Lastly, RS and RQ are given sides.

4 0
3 years ago
4 week it drop 3 feet what is the unit rate
grin007 [14]
<span>In 4 weeks, it dropped 3 feet in total.
The unit rate of this is 3 feet / 4 weeks
If we simplify this into days, this will be the solutions
=> 4 weeks has (4 * 7) 28 days in total, so we need to divide 3 feet by 28 days to get the simplified unit rate.
=> 3 feet / 28 days
=> .107 feet / day.
So the water drops .107 feet per day and in 4 weeks the total of 3 feet.</span>



3 0
3 years ago
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