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lianna [129]
3 years ago
15

the sun always illuminates half of the moon's surface, except during a lunar eclipse. the illuminated portion of tge moon visibl

e from earth varies as it revolves around the earth resulting in the phases of the moon. the period from a full moon to a new moon and back to a full moon is called a synodic month and is 29 days, 12 hours, and 44.05 minutes long. write a sine function that models the fraction of the moon's surface which is seen to be illuminated during a synodic month as a function of the number of days, d, after a full moon.
Mathematics
1 answer:
Masja [62]3 years ago
5 0
We are given the period of the function which is
<span>29 days, 12 hours, and 44.05 minutes or 29.5306 days
If we let
s be the fraction of the moon's surface seen
M be half of the moon's surface


The sine function is
s = M sin b</span>θ

T = 2 π /b
b  = 2π / 29.5306

s = M sin 2πθ / 29.5306<span />
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
Which of the following is an equation of the line through (2, 3) and (−1, −12)?
tino4ka555 [31]

First, we have two points and we need to use these points to find the slope. To do this, let's label one point x1 and y1, the other point x2 and y2 then,

Slope = (y2 - y1) / (x2 - x1)

(2, 3) - 2 is x1 and 3 is y1

(-1, -12) -1 is x2 and -12 is y2

Slope = (-12 - 3) / ( -1 - 2) = -15 / -3 = 5

Now the equation of our line is: y = 5x + b

Let's plug one of our points into this equation to solve for b.

3 = 5(2) + b

3 = 10 + b

Subtract 10 from both sides.

-7 = b

The equation of our line is: y = 5x - 7

7 0
3 years ago
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Joe's workout at the gym was a total of 90 minutes. If he spent 1/3 of the time lifting weights, how much time did he have left
atroni [7]

Answer:

60 minutes, or 1 hour.

Step-by-step explanation:

90 minutes ÷ 3 = 30 minutes, so 30 minutes equals 1 third of the total time he spent at the gym, and he lifted weights for 30 minutes. The remaining 2 thirds, 60 minutes, is the time he spent on the treadmill.

5 0
4 years ago
Given these scores: 31, 32, 32, 33, 34, 35, 35, 35, 35 What number is the median? What number is the mode?
irinina [24]
For this case we have the following data:
 31, 32, 32, 33, 34, 35, 35, 35, 35
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 Median = 34
 Mode is given by the most repeated data:
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 Answer:
 
Median = 34
 Mode
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5 0
4 years ago
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A sample of marble has a volume of 6 cm3 and a density of 2.76 g/cm3. What is its mass?
Alenkasestr [34]

To solve for the mass of a substance is to simply get the product of volume and density, that is:

mass = density * volume

 

So calculating for mass:

mass = (2.76 g / cm^3) * 6 cm^3

<span>mass = 16.56 g</span>

3 0
3 years ago
Read 2 more answers
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