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
Answers
Answer: 150 m, 5.305*10^-5 kW/m^2, No
Step-by-step explanation:
See attachment, hope this helps
Using the radiation intensity formula we will have to:
a) [tex]150 m[/tex]
b) [tex]5.305*10^{-5} kW/m^2[/tex]
c)No
From the data informed, we have:
[tex]h=150m\\P=40KW[/tex]
Using the given formula and performing some mathematical operations:
[tex]I=\frac{12Psin^2(\theta)}{32(\pi)r^2} \\I= \frac{12(40)(R/r)^2}{32(\pi)r^2} \\= \frac{15R^2}{r^2\pi } \\= \frac{15R^2}{(R^2+150^2)^2\pi} \\[/tex]
deriving the given equation, we will have:
[tex]=\frac{(R^2+150^2)^22R-R^2(2(R^2+150^2))2R}{(R^2+150^2)^2}[/tex]
So from this equation we have that the answer of the letter A corresponds:
[tex]R=150[/tex]
For letter B we will have to develop this equation:
[tex]I= 5.30X10^{-5}[/tex]
As for the letter C, when converting the value found, it should give 200 microwatts, which is false.
Learn more: brainly.com/question/10148635
Related Questions
Please help with this problem!
(WILL MAKE BRAINLIEST)
Answers
Answer:
the third, and fourth options
Step-by-step explanation:
hope it helps
Answer:
3rd n 4th
hope this helps you!!!
Answer 15 and 16 and get 50 points
No link
Answers
Answer:
(1) x=5 (2) I think the answer to 16 is 3/5 but not 100% sure
Step-by-step explanation:
(1) 29=5x+4
Step 1: Flip the equation.
5x+4=29
Step 2: Subtract 4 from both sides.
5x+4−4=29−4
5x=25
Step 3: Divide both sides by 5.
5x /5 = 25 /5
x=5
straight line graph table - complete the table of values for the equation y=x+6 using values that lie on the graph shown
Answers
Answer:
take any value of x and substitute such as x is 0
y will be plus 6 so (0,6)
y is 0 so x will be minus 6 so (-6,0)
Step-by-step explanation:
take any value of x and y and substitute
Mark as brainliest!!!
Evaluate if y = 4 and z = -2.
7y + z
=
[?]
Answers
Answer:
The answer is 26.
Step-by-step explanation:
7 x 4 = 28 so
28 + (-2)=
26
Answer:
26
Step-by-step explanation:
7y+z=
y =4 and z = -2
7(4)+-2
28+-2
26
Hence, the answer is 26.
segment DE is a midsegment of triangle ABC. find the value of x.
Answers
Answer:
X = 17
Step-by-step explanation:
Mid segment theorem: the segment joining the midpoints of two sides of a triangle is half the length of the third side.
Simplify the expression -3/(-2/5)
Answers
-3/(-2/5) = -3 * (5/-2)=15/2=7.5
Answer:
im new but im pretty sure its 7.5
Step-by-step explanation:
To solve this expression, we can use PEMDAS or order of operations. Parenthesis. Exponents.
A family of four drove to Disney World: It took 12 hours to get there. Parking was $15. The total cost of parking and admission was $195. How much was each ticket?
Answers
parking = $15
Parking + admission = $195
1. Subtract parking from the total. 195 - 15 = 180
2. Divide admissions total by 4 people. 180 / 4 = 45
for a brainlist let me know asap if i am correct
and pls explain
Answers
Answer:
A
Step-by-step explanation:
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
Choices for the first blank :
(SSS)
(SAS)
(AAS)
(ASA)
(AAA)
(SSA)
(HL)
Second blank choices :
Can be proven or cannot be proven congruent
Answers
Answer:
They are congruent by HL
Step-by-step explanation:
Answer:
HL.
Step-by-step explanation:
2 right triangles.
Hypotenuse and 1 leg are congruent.
Add.
310+(−720)
Enter your answer as a fraction, in simplified form, in the box.
Answers
Answer:
-410/1
Step-by-step explanation:
Hey there!
Question :-[tex]310 + ( -720)[/tex]
We need to solve this arithmetic expression,as a fraction.
Solution:-[tex] \sf \longmapsto310 \: + ( - 720)[/tex]
Note that (+) and (-) equals to (-).
New Arithmetic expression will be :-
[tex]\sf \longmapsto310 + (720)[/tex]
Remove the parenthesis :-
[tex]\sf \longmapsto310 - 720[/tex]
Calculating the Subtraction:-
[tex]\sf \longmapsto310 - 720[/tex]
As 310 < 720, 720 contains (-) sign. Therefore, The Solution will be -410 not 410.
[tex]\sf \longmapsto - 410[/tex]
Converting to Fraction:-
[tex]\sf \longmapsto \: - 410[/tex]
[tex]\sf \longmapsto \: \dfrac{410 \times 1}{1 \times 1} [/tex]
[tex]\sf \longmapsto - \dfrac{410}{1} [/tex]
On Simplification of this Fraction:-
[tex]\sf \longmapsto \cancel \dfrac{ - 410}{1} [/tex]
On Cancelling , -410 Is the result.
[tex]\sf \longmapsto - {410} [/tex]
______________________________________
Henceforth , the answer of the arithmetic expression Will be :-(Simplified)
[tex]\boxed{\bf-{410} }[/tex]
________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
if marked price = 1,540 during the off season a discount was given and it was sold for 1,463. find the discount and the discount percent
Answers
Answer:
The discount is $77, and the discount percent is 5%
Step-by-step explanation:
Discount: $1,540 - $1,463 = $77
Discount percent: $1,463 / $1,540 = 0.95, 1.00 - 0.95 = 0.05, 0.05 = 5%
I need help in algebra
Answers
Answer: 8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
How to solve
× + 5 = 13
subtract from both sides of the equation.
× + 5 - 5 = 13 - 5
13 - 5= 8
please give me brainliest and a thanks.
Consider the two triangles.
В.
To prove that the triangles are similar by the SAS
similarity theorem, it needs to be shown that
B
A
G
O 2020
20
Н.
15
O 20:26
12
9
с
HI
BC
O
go yo
O
BC
НІ
Answers
Answer:
By Both
Step-by-step explanation:
You have all 3 corresponding sides are proportional so you have SSS. That is
24/8=15/5=18/6
You also have SAS because 15/5=18/6 and you have the angle between the sides that I'm referring to in that proportion.
To prove that the triangles are similar by the SAS similarity theorem the two sides and angles are proportional.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
From definition of similar triangles the 3 corresponding sides are proportional so you have SSS.
Such that 24/8=15/5=18/6
We also have SAS because 15/5=18/6 and you have the angle between the sides.
Hence, to prove that the triangles are similar by the SAS similarity theorem the two sides and angles are proportional.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ7
I need help on this one
Answers
Answer:
(3,5)
1/3
Step-by-step explanation:
The equation is already in point-slope form. Therefore, both the point and slope can easily be found in the equation. Point slope form looks like [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]. In this the point is [tex](x_{1},y_{1})[/tex] and the slope is m. So, the x value is 3 and the y value is 5, making the coordinate (3,5). Finally, the slope is 1/3.
1/3
Hope this helps <3
order the values from least to greatest
Answers
Answer:
1. minus 7 by 8
2.minus 3 by 4
3. minus 1 by 2
4. 5 by 8
5.1 by 4
3. After a study was completed at a local college, it was found that 386 in 1,112 students live
with their parents. What percent of the students lives with their parents? Round to the nearest
hundredth of a percent where necessary.
O 3.44%
O 34.71%
49.36%
065.28%
Answers
Answer:
34.71%
Step-by-step explanation:
1112-100 percent
386-x percent
x=386*100/1112≈34.71
The percentage of students living with their parents is 34.44%. The correct option is B.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that after a study was completed at a local college, it was found that 386 in 1,112 students live with their parents.
The percentage of the students who live with their parents will be calculated as,
Percentage = ( 386 / 1120 ) x 100
Percentage = 0.3471 x 100
Percentage = 34.71%
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ2
What is the slope of the line?
Answers
Answer:
thanks
Step-by-step explanation:
Which situation can be represented by this inequality?
135 ≤ 10r + 15
Question 6 options:
A-Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs?
B-Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?
C-Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs?
D-Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?
Answers
The true option is: (d) Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?
The inequality is given as:
[tex]\mathbf{135 \le 10r + 15}[/tex]
Rewrite as:
[tex]\mathbf{10r + 15\ge 135 }[/tex]
From the options, we can see that the inequality represents songs in a music player.
Linear inequalities can be represented as:
[tex]\mathbf{mx + b \ge y}[/tex]
Where:
m represents the rate i.e. 10
b represents the y-intercept or base i.e. 15
>= represents at least
So, the inequality can be interpreted as:
10 songs are added every monthThe base number of songs is 15He wants to have at least 135 songsHence, the true option is (d)
Read more about linear inequalities at:
https://brainly.com/question/11897796
find the slope and y intercept.
Answers
Answer:
slope: 2/3
y intercept: -1
Step-by-step explanation:
slope: rise/run
What is the remainder when you divide 2x3 4x2 - x 3 by x 2?.
Answers
the answer is 5 hope this helps lol
The population of Earth is estimated to be 7.4 billion people, or 7,400,000,000. What is this number in scientific notation?
Answers
Answer:
7.4 x 10 to the 9th power
Step-by-step explanation:
At the end of numbers, there is a decimal point. when writing in function notation, you bring the point to the left or to the right depending on if it is a negative or a positive number
in this problem, you are dealing with a positive number, so bring the decimal point to the left. count how many numbers it takes to get in between, in this number, 7 and 4. it takes 9 spaces to the left. now the decimal point has been moved, your number goes from 7,400,000,000 to 7.4 x 10 to the 9th power(7.4 x 10^9)
57 multiplied 2794?
IXL question
Answers
Dana ate her trail mix. she found that 28% of the trail mix is raisins. What is 28% of 7 ounces
Answers
Answer:
the answer is 2.28 ounces
please help and explain how to do it
Answers
A jacket usually sells for $68.00. If the jacket is 40% off, and sales tax is 6%, what is the total price of the jacket, including tax?
Answers
Answer:
$ 43.25
Step-by-step explanation:
68 - 40% = 40.8
40.8 + 6% = $ 43.25
Find the lowest common multiple of 36
and 72
Answers
The scale factor from A DEF to A ABC is
6
5
ООО
4.5
Answers
Answer:
Between the edges of the first two triangles there is a ratio. To find this ratio, you need to ratio one edge of a small triangle to one edge of a large triangle. So 5/30=6/36=8/48=1/5. The ratio we want to find is 1/5 or 5.
What is the volume of a sphere with a surface area of 64 pi cm^2?
16 pi cm^3
21 1/3 pi cm^3
48pi cm^3
85 1/3 pi cm^3
Answers
Answer:
Hello, have a great day.
Answer:
85 1/3 pi cm3 I hope this helps.
Which equation represents the same line as the points in the table
Answers
Answer: 1st one
Step-by-step explanation:
Slope formula: y2-y1/x2-x1
-2-0/0-(-6)
Slope: -1/3
Y-0=-1/3(x+6)
ANSWER:
Y=-1/3x-2
Students in Mrs. Marquez's class are watching a film on the uses of geometry
In architecture. The film projector casts the image on a flat screen as shown in
the figure. The dotted line is the bisector of
each congruence theorem to prove that
need to know.
Answers
The given information on the diagram of the projector and the image can
be used to prove the congruency of the triangles.
∠ABD, ∠BDA, and side [tex]\overline {AD}[/tex] on ΔABD are congruent to ∠CBD, ∠BDC, and
segment [tex]\overline {CD}[/tex] on ΔCBD, therefore, ΔABD ≅ ΔCBD, by AAS Theorem
Reasons:
The figure of the projector that casts an image on the screen is attached.
The bisector of the line [tex]\overline {AC}[/tex] = [tex]\overline {BD}[/tex]
From the drawing, we have;
∠ABD ≅ ∠CBD by equal number arc mark.
The two column proof is therefore, presented as follows;
Statement [tex]{}[/tex] Reason
[tex]\overline {BD}[/tex] is perpendicular bisector of [tex]{}[/tex][tex]\overline {AC}[/tex] Given
[tex]\overline {AD}[/tex] = [tex]\overline {CD}[/tex] [tex]{}[/tex] Definition of bisected line [tex]\overline {AC}[/tex]
∠BDC = 90° [tex]{}[/tex] [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]
∠BDA = 90° [tex]{}[/tex] [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]
∠ABD ≅ ∠CBD [tex]{}[/tex] Given on the diagram
ΔABD ≅ ΔCBD [tex]{}[/tex] by Angle-Angle-Side AAS Congruency rule
The Angle-Angle-Side, AAS, Congruency postulate states that two
triangles are congruent where two adjacent angles and a non included side
on one triangle are congruent to the corresponding two adjacent angles
and a non included side on the other triangle.
Learn more here:
https://brainly.com/question/15274307
