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Calculate the noon sun angles for new orleans, usa and helsinki, finland on september 22. in the answer below, new orleans answe

Otrada [13]

<span>We need to calculate noon sun angle. Noon sun angle is an angle at which sun-rays fall at noon on a given date.
</span>On September 22, the sun’s rays form a 90° angle at noon at the equator.

Formula for calculating noon sun angle is:

Noon_sun_angle = 90° - Zenith angle

We have complementary angles so we need to substract zenith angle from 90°.

The zenith angle is the distance between subsolar point (point where sun is at 90°) and the latitude of an observer. In our case this angle will have same value as latitude because subsolar point is at equator 0°. If our latitude and subsolar point are at same hemisphere we substract values. Otherwise we add values.

New Orleans, USA
Latitude = 30°
Noon_sun_angle = 90° - 30° = 60°

Helsinki, Finland
Latitude = 60°
Noon_sun_angle = 90° - 60° = 30°

4 0

3 years ago

Read 2 more answers

Jason has 4 gallons of hand sanitizer that contains 25% alcohol. He wants to make a hand sanitizer that contains 50% alcohol. Ho

alexandr402 [8]

Answer:

2 gallons of pure alcohol

Step-by-step explanation:

Let x represent the number of gallons of pure alcohol needed, and create an equation:

4(0.25) + x(1) = (x + 4)0.5

1 + x = 0.5x + 2

x = 0.5x + 1

0.5x = 1

x = 2

So, 2 gallons of pure alcohol should be added.

8 0

3 years ago

Write the first four terms of a sequence given the recursive rule below: f (n) = f(n-1) -4, for all n > 2 and f(1) =32

Mars2501 [29]

I don’t know I just want points bye hdhdjjdjddjdjdjjjfjtfjgktk

7 0

2 years ago

I WILL MARK YOU BRAINLIEST!!!!!

iren2701 [21]

Answer:

C. one solution

Step-by-step explanation:

The number of solutions can be found from the number of intersection points.

There are 2 lines, a parabola (curve) and a horizontal line that is parallel to the x axis.

We see that there is 1 point of intersection between the 2 lines, at (2,1)-right 2 and up 1. Therefore, this non linear system has 1 solution.

C. one solution is the correct answer.

7 0

3 years ago

A manufacturer is planning to sell a new product at the price of 210 dollars per unit and estimates that if x thousand dollars i

sattari [20]

Answer:

Development costs: $2757

Promotion costs: $3155

Step-by-step explanation:

This might seem like a two-variable problem, but in actuality it's not - because the demand function is a sum of two components, each being independent and using only one variable, we can solve for the two separately.

Moreover, the price per unit and cost per unit is constant, so each product yields exactly $80 ($210 - $130).

Let's solve separately.

We need to maximize:

$80 * 160y/(y+4) - 1000y = $12800 * y/(y+4) - $1000*y

$80 * 170x/(x+7) - 1000x = $13600 * x/(x+7) - $1000*x

Let's go:

$12800 * y/(y+4) - $1000*y = $12800 * (1 - 4/(y+4)) - $1000y = $12800 - $51200/(y+4) - $1000*y

we analyze the derivative. $12800 is a constant, so we can skip it. Derivative of 1/(y+4) is -(y+4)^-2, derivative of $1000y is $1000.

deriv = $51200/(y+4)/(y+4) - $1000

We find the changepoints by analyzing $51200/(y+4)/(y+4) - $1000 = $0. We don't need to worry about y+4 = 0 because we cannot spend negative money on development/advertisement.

(y+4)^2 = $51.2

y+4 ~= 7.155417528 (or -y-4 = 7.1554... but it doesn't make sense because negative budget so we don't analyze).

y ~= 3.155417528

lastly, we should check that it's actually a maximum there - but it is, the original function goes to negative infinity.

rounding $1000y to the nearest dollar gives us $3155

Let's do the same for x:

$13600 * x/(x+7) - $1000*x = $13600 * (1 - 7/(x+7)) - $1000x = $13600 - $95200/(x+7) - $1000*x

deriv = $95200/(x+7)/(x+7) - $1000

$95200/(x+7)/(x+7) - $1000 = $0

(x+7)^2 = 95.2

(x+7) ~= 9.75704873412

x ~= 2.75704...

rounding $1000x to the nearest dollar yields $2757

3 0

2 years ago