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EastWind [94]
3 years ago
11

Outside temperatures over the course of a day can be modeled as a sinusoidal function. Suppose the high temperature of105°Foccur

s at 5PM and the average temperature for the day is85°F.Find the temperature, to the nearest degree, at 9AM.
Mathematics
1 answer:
mafiozo [28]3 years ago
3 0

Answer:

The temperature at 9AM = 75°F

Step-by-step explanation:

Consider D(t) be the temperature in Fahrenheit at time t, where t is measured in hours since midnight. It knows when the maximum temperature occurs. Then it can create a model using a cosine curve.

Vertical shift, D = 85°F

Amplitude, A = (105-85)°F = 20°F

Horizontal stretch factor, B = 2π/24 = π/12

Horizontal shift = -(12+5) = -17

Using the information, we have this model

D(t) = 20cos [π/12(t-17)] + 85

D(9) = 20cos [π/12(9-17)] + 85

       = 20cos [-2π/3] + 85

       = -20 x 1/2 + 85

       = 75°

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Answer:

A

Step-by-step explanation:

To answer this, look at one specific point for example, A. It is at the point (3,6). In order for this point to get to where it was moved to, you must rotate it counterclockwise () 90 degrees. Do this by changing the initial point from (x,y) to (-y,x). This is located at (-6,3). Then you can see that it was translated 2 units up from there.

I hope this helped.

3 0
3 years ago
the movie theater has 250 seats 225 of the seats were sold wht percent of seats are empty what percent of seats are full
Mamont248 [21]

First, you need to simplify 225/250.

225/250 simpified in the simpliest from is 9/10.

Convert 9/10 to a percentage, which is 90%.

So in summary, 90% of the seats were full and 10% of the seats were empty.

Hope this helped!

6 0
3 years ago
A A tent is in the shape of a triangular prism . How much material is needed to make the tent ?
MAVERICK [17]

Answer:

135

Step-by-step explanation:

Prism

volume= area of base times distance between your 2 bases

v=bh/2

i did  b=area of base, h=height , v=volume , 1/2...so i believe that you take 6 and multiply it by 5 which equals 30 then you multiply the 30 by 9 and i got 270 then i divide by 2... so 270/2 which equals 135..so the answer is 135

(for a rectangular shape its just length times height

5 0
3 years ago
What is 7.53x10^ -10 pls help
Damm [24]

7.53x10^-10 (move the decimal 10 places to the left.

7.53x10^-10= 0.000000000753

7 0
3 years ago
Triangle abc is isosceles. Solve for the length of the line segment connecting the midpoints of the two sides of equal length. A
Arada [10]
From the given triangle, midpoint of AB = ((-2 + 3)/2, (0 + 6)/2) = (1/2, 3) and the midpoint of BC = ((3 + 8)/2, (6 + 0)/2) = (11/2, 3)
Length of the line segment joining points (1/2, 3) and (11/2, 3) is given by
l = sqrt[(11/2 - 1/2)^2 + (3 - 3)^2] = sqrt(5^2) = 5.

Therefore, option A is the correct answer.
5 0
3 years ago
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