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ankoles [38]
3 years ago
14

The population density of Smallville (15 square miles) was 18.5 people per square mile. A decade later populations increased to

26.8 people per square mile. What was the increase in population?
Mathematics
1 answer:
BartSMP [9]3 years ago
8 0
(26.8-18.5)•15=amount of people added
8.3•15=amount of people added.
124.5 people added to Smallville
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Write the slope-intercept form of the given line. Include your work in your final answer.
Degger [83]

Answer:

y=1x+-1

Step-by-step explanation:

y=mx+b

m=slope which is 1/1 because it is rise over run (rising 1, running 1)

b=y-intercept form which is -1 because that is where the line meets the y axis

8 0
3 years ago
Help.
Akimi4 [234]

1035.33156649 meters high is the helicopter flying over the building.

Given that, an observer (O) is located 900 feet from a building (B). The observer notices a helicopter (H) flying at a 49° angle of elevation.

We need to find how high is the helicopter flying over the building.

<h3>How to find the height of the building using trigonometry?</h3>

To measure the heights and distances of different objects, we use trigonometric ratios.

Here, use the Tangent rule to calculate the height of the building.

tan(angle) = opposite/adjacent

Now, tan 49°=h/900

⇒h=1035.33156649 meters

Therefore, 1035.33156649 meters high is the helicopter flying over the building.

To learn more about the angle of elevation visit:

brainly.com/question/21137209.

#SPJ1

3 0
2 years ago
At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0 degrees?
hichkok12 [17]

Answer:

At 43.2°.

Step-by-step explanation:

To find the angle we need to use the following equation:

d*sin(\theta) = m\lambda

Where:

d: is the separation of the grating

m: is the order of the maximum

λ: is the wavelength

θ: is the angle              

At the first-order maximum (m=1) at 20.0 degrees we have:

\frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342

Now, to produce a second-order maximum (m=2) the angle must be:

sin(\theta) = \frac{\lambda}{d}*m

\theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ}

Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.    

I hope it helps you!                                                        

6 0
3 years ago
600000 80000 10 expanded. form
kirza4 [7]
600000+80000+10=680,010 six hundred eighty thousand ten
7 0
3 years ago
Evaluate the given question
Natali5045456 [20]

The value of the given expression is 1/16

<h3>Exponential functions</h3>

Given the exponential function below as shown;

(1/2)^4

This means the product of 1/2 in 4 places. This can be expressed as;

(1/2)^4 = 1/2 * 1/2 * 1/2 *1/2

(1/2)^4 = 1/4 * 1/4

(1/2)^4 =1/16

Hence the value of the given expression is 1/16

Learn more on exponent here: brainly.com/question/725335

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5 0
1 year ago
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