The FM radio station KAMB broadcast from an antennae atop a 150 meter tall radio tower at a frequency of 90 MHz with a total radiated power of 40 kilowatts. Neighbors have complained about problems they attribute to excessive radiation from the tower, but the city engineer who measured the radiation level near the base of the tower found it to be well below the accepted standard. You have been hired by the HOA to assess the engineer's report. You know a few things about electromagnetic radiation and therefore conclude that we must find the optimum place on the ground to measure the maximum radiation emitted from the antennae. From your extensive knowledge in physics, you know that the intensity of radiation, I, is given by the formula:
I=12/32π*Psin2(θ)/r^2
where P is the power output, r is the distance from the top of the tower to the point on the ground, and θ is the angle measured from the tower to r.

Find the distance R from the base of the tower to the optimum location for taking the radiation reading. (m)
What is the maximum radiation reading from the ground in kw/m^2
If the city code requires that electromagnetic radiation be under 200 microwatts per square meter, is this antenna operating within city code? Yes or No

Answer:

yes

Step-by-step explanation:

6^2+8^2=10^2

following the pythagoras theorem this triangle is right triangle

Answer:

8.89 feet

Step-by-step explanation:

[tex]\sqrt{79}[/tex] = 8.888, rounded to nearest hundredth would be 8.89

The critical probability assuming a confidence level of 86% is;

Option B; 0.86

We are given the confidence level as 86%. This means that the probability of the mean of the normally distributed population being true is 86%.

This means that the critical probability is the value of z at 86% or 0.86

So when we find the value of z at that value, we will use it to get the margin of error.

Read more about critical probability of Confidence level at; https://brainly.com/question/16112320

Answer:

9=x

Step-by-step explanation:

80º=(8x+8)º

80=8x+8

Subtract 8 from both sides of the equation.

72=8x

Divide 8 from both sides of the equation.

9=x

Hope this helps :)

Answer:

cant help you, but thanks for the points

[tex](1)\\\\(45x -5) -(13x +4) = 45x-5-13x -4 = 32x -9\\\\\\(2)\\\\-2(4n) -3 + (-7)(8n) +2 = -8n-56n -1 = -64n -1 = -(64n+1)\\\\(3)\\\\(-3.6x+9.4) - (1.9x +3.6) = -3.6x +9.4 -1.9x -3.6 =-5.5x+5.8\\\\\\(4)\\\\-3x+4-(5x-2) = -3x+4-5x +2=-8x +6[/tex]

Answer:

each game takes up 7.15 gigabytes (assuming each game takes up the same amount of storage.

Step-by-step explanation:

57.2 divided by 8 is 7.15

Answer:

It should be A & D

Step-by-step explanation:

These two are the only ones that have the exact same numbers on all three sides. They are congruent based on SSS.

Answer:

2

Step-by-step explanation:

Answer:

5. x=21.9 units

6. x=14 units

7. x=31.7 units

Step-by-step explanation:

5. Assuming that the line through the middle of the triangle in 5, we can split the 18 units side into 9 and 9. Using pythagorean theorem (a^2+b^2+c^2), we can find that x is equal to [tex]\sqrt{81+400}[/tex] making x [tex]\sqrt{481}[/tex]. Rounding to the nearest tenth, we get x is about 21.9 units

6. By doing pyth. th. on one of the triangles, we get sqrt(361-289) which is sqrt(72), which is about 8.5 units. Subtracting 8.5*2 from 31, we get 14 for x

7. by doing pyth th on the smaller triangle, we get sqrt 228 and now we can do pyth th again with 28 (44-16) and sqrt228, which turns out to be sqrt (784+228) which is sqrt (1002), which when rounded the nearest tenth is 31.7

Good Luck!

Answer:

Step-by-step explanation:

5.

So 18 is cut in half and forms 2 simmetrical right-triangles, yes? Yes.

So, if 20 is one of the collared, 9 will be the other collared and x will be the hypotenusa right? right.

x² = 20² + 9²

x² = 400 + 81

x² = 481

x = [tex]\sqrt{481}[/tex]

x =~ 21.93

x = 21.9

6.

Here we can se a square and 2 simmetrical triangles and if the hypo of one of them is 19 the other will also be etc. So for the small triangles:

y² = 19² - 17²

y² = 361 - 289

y² = 72

y = [tex]\sqrt{72}[/tex]

y =~ 8.48

x = 31 - (2 * 8.48)

x = 31 - 16,96

x = ~14,04

x = 14.0

The value of x and the dimensions of the rectangular prism are as follows;

x = 7.5 m

length = 8 m

width = 5.5m

height = 12.5 m

volume of a rectangular prism  = lwh

volume = 550 m³

l = 8

w = x - 2

h = x + 5

Therefore,

v = lwh

550 = (x + 5)(x - 2)8

550 = (x² - 2x + 5x - 10)8

550 = (x² + 3x - 10)8

550 = 8x² + 24x - 80

8x² + 24x - 80 - 550 = 0

8x² + 24x - 630 = 0

4x² + 12x - 315 = 0

using quadratic formula,

where

a = 4

b = 12

c = -315

-b ± √b² - 4ac / 2a

Therefore,

x = -10.5 or 7.5

x cannot be negative .

so, x = 7.5

x = 7.5 m

length = 8 m

width  = 7.5 - 2 = 5.5 m

height = 7.5 + 5 = 12.5 m

learn more: https://brainly.com/question/21812790?referrer=searchResults

Answer:

30 eggs.

Step-by-step explanation:

Cracked eggs: 120 x 25/100

=> 120 x 1/4

=> 30 eggs.

Therefore, 30 eggs are cracked.

Hoped this helped.

Answer:

>

>

>

Step-by-step explanation:

Answer:

a line through (-4,2) and (-8,-3) has slope = (2+3)/(-4+8) = 5/4 = (y-2)/(x+4)

cross multiply

5x +20 = 4y-8

5x -4y =-28

Step-by-step explanation:

Answer:

-36

Step-by-step explanation:

12 - 3 = 9, so if the quotient of a number (let's call it x) and 9 is -4, we can create the following equation:

x ÷ 9 = -4

So, if we multiply both sides by 9, we get:

x = 9 * -4 which is -36.

Answer:

125

Step-by-step explanation:

You can find the interior angle next to the angle with the value of 100, because a straight line has an angle of 180, so that angle would be 80. You can do the same with the interior angle next to 135, with that angle having a value of 45.

The interior angles of a triangle always have the sum of 180, so to get the last interior angle add 80+45 and then subtract that from 180. That angle would be 55.

To get Y take the value of the interior angle subtract 55 from 180, which would be 125.

Answer:

c) difficult

Step-by-step explanation:

1) w = 14/3

Steps:

1) Multiply the numbers

5w - 8/3 = 4w + 2

2) Add 8/3 to both sides of the equation

5w - 8/3 + 8/3  = 4w + 2 + 8/3

3) Simplify

A. Add the numbers

5w = 4w + 2 + 8/3

B. Add the numbers

5w = 4w + 14/3

4) Subtract 4w  from both sides of the equation

5w - 4w = 4w +14/3 - 4w

5) Simplify

A. Combine like terms

1w = 4w + 14/3 - 4w

B. Multiply by 1

w = 4w + 14/3 - 4w

C. Combine like terms

w = 14/3

2) ( x - 7 ) ( x + 7 )

Steps:

1) Use the sum-product pattern

x² + 7x - 7x - 49

2) Common factor from the two pairs

x (x + 7)  = 7 (x + 7)

3) Rewrite in factored form

(x-7) (x+7)

3) [tex]3x^{4} y^{\frac{3}{2} }[/tex]

Steps:

[tex]9^{\frac{1}{2} }( x^{8} )^{\frac{1}{2} (y^{3} )\frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

Given formula:

(i)

Solve for i:

(ii)

P = 2500, A = 2650, find i:

Answer:

y = [tex]\frac{1}{3}x-3[/tex]

Step-by-step explanation:

Answer:

y=30

x=3

Step-by-step explanation:

~may it help you~

Answer:

c 31b4

Step-by-step explanation:

Answer:

Step-by-step explanation:

see the figure below

As O is mid point of rectangle

distance between O to AB and DC is same

also distance between O to AD and BC is same

OP and OQ are perpendiculars so it is straight

and OP divides AB into equal segments as distance between O to AD and BC is same

same goes with OQ

Answer:

The selected choice (#2) is correct

Step-by-step explanation:

Any rigid transformation (moving a figure, rotating it, flipping it around will leave the transformed figure congruent with the original. Scaling it (=dilating it) will generate a new figure what is similar to the original: angles remains the same but sides are in proportion.

Answer:

m

Step-by-step explanation:

The slope of a line is constant. This means no matter the two points on the line that you use to calculate the slope you will get the same number for the slope. Your equation is in slope-intercept form, y=mx+b where m is slope and b is y-intercept. So your equation is in that exact form with the same use of constant numbers m and b where m is slope and b is y-intercept.

So the answer is m.

However, we could use slope formula = change in y divided by change in x.

Change in y from x=2 to x=13 is [(m(13)+b)-m(2)+b)]=13m+b-2m-b=13m-2m+b-b=11m+0=11m.

Change in x is 13-2=11.

So the slope is 11m/11=m.

Answer:

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Answer:

What would happen if someone doesn't put a negative comment in the blank?

Step-by-step explanation:

Answer:

numerical value??

Step-by-step explanation:

Answer:

hope it helps you

(•‿•).........