On many cell phones with GPS, an approximate location can be given before the GPS signal is received. This is done by a process called triangulation, which works by using the distance from two known points. Suppose there are two cell phone towers within range of you, located 3000 feet apart along a straight highway that runs east to west, and you know you are north of the highway. Based on the signal delay, it can be determined you are 2050 feet from the first tower, and 1420 feet from the second. Determine the angle, \thetaθ, between your line of sight to the first tower and the highway to the nearest tenth of a degree. (A calculator is needed for this question)
Answers
========================================================
Explanation:
Refer to the diagram below.
If we focus on triangle ACD, then we can use the pythagorean theorem to say
d^2 + m^2 = 2050^2
d^2 = 2050^2 - m^2
Now if we focus on triangle DCB, we can also use the pythagorean theorem to say
d^2 + n^2 = 1420^2
2050^2 - m^2 + n^2 = 1420^2 ...... replace d^2 with 2050^2 - m^2
n^2 - m^2 = 1420^2 - 2050^2
n^2 - m^2 = -2,186,100
--------------------------
In the diagram, I set up m and n such that m+n = 3000. This solves to n = 3000-m
We can then say
n^2 - m^2 = -2,186,100
(3000-m)^2 - m^2 = -2,186,100
m^2 - 6000m + 9,000,000 - m^2 = -2,186,100
-6000m + 9,000,000 = -2,186,100
-6000m = -2,186,100 - 9,000,000
-6000m = -11,186,100
m = (-11,186,100)/(-6000)
m = 1864.35
--------------------------
We now have enough to find angle theta, which is the angle between segments AC and AD (the line of sight to the first tower and the highway lines respectively)
We'll focus entirely on triangle ACD
cos(angle) = adjacent/hypotenuse
cos(A) = AD/AC
cos(theta) = m/2050
cos(theta) = 1864.35/2050
cos(theta) = 0.90943902439024 which is approximate
theta = arccos(0.90943902439024)
theta = 24.572056388088
theta = 24.6 degrees
Make sure your calculator is in degree mode. One way to check is that cos(60) should evaluate to 0.5
Related Questions
Nick works two jobs to pay for college. He tutors for $15 per hour and also works as a
bag boy for $8 per hour. Due to his class and study schedule, Nick is only able to work
up to 20 hours per week but must earn at least $150 per week. If t represents the
number of hours Nick tutors and b represents the number of hours he works as a bag
boy, which system of inequalities represents this scenario?
A. t+b = 20
15t + 8b < 150
B. t+b 20
15t + 8b = 150
C. None of the systems shown represent this scenario.
D. t+b = 20
15t + 8b > 150
Answers
Answer:The answer is B.
He can't work more than 20 hours so t+b must be less than or equal to 20.
He has to earn $150 so it cannot be less than 150. Theoretically he could earn more, e.g doing 10 hours of each job which equals $230
Therefore t + b less than or equal to 20 15t + 8b greater than or equal to 150
Step-by-step explanation:
Help pleaseeeeeeeeeeeeee fast
Answers
Answer:
Step-by-step explanation:
a = 11.5×3 = 34.5 in²
b = 7.5×11.5 = 86.25 in²
c = a = 34.5 in²
d = b = 86.25 in²
lateral area = 2×34.5 + 2×86.25 = 241.5 in²
Answer:
241.5 in²
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST
Ari is designing a patio that will be 20 feet long and 16 feet wide. He makes a scale drawing of the patio using a scale of 1 inch to 4 feet.
The ratio of the area of the scaled drawing to the actual area of the patio is 1 square inch to _____ square feet.
Answers
Solve the propotion
q/5 = 4/1
Answers
Answer:20
Step-by-step explanation: If u need help again: https://mathpapa.com/algebra-calculator.html
Answer:
q = 20
Step-by-step explanation:
q 4
5 = 1
4 x 5 = 20
Please help! will mark brainliest if correct :) if not right, won't mark brainliest
Answers
9514 1404 393
Answer:
(d) 285.7 ft²
Step-by-step explanation:
The lateral area of a cone is given by the formula ...
A = πrh . . . . where r is the radius, and h is the slant height.
For your cone, this is ...
A = (3.14)(7 ft)(13 ft) = 285.74 ft²
The lateral area of the cone is about 285.7 ft².
Answer:
Its the second one
bdhskakaiaggsbsnasnbdbsjsjs simplify c^4/c^3
Answers
Answer:
Cancel the common factor of c^ 4 and c ^3 .
The answer is c
Step-by-step explanation:
Hope this helps! Have a nice day!
Answer:
I dont know but i am a expert
Step-by-step explanation:
i dont know but i am a expert
A 6 inch personal pizza has 590 calories, with 240 of those from fat. A 12 inch pizza is cut
into 8 slices. Estimate the number of calories in one slice of a 12 inch pizza.
calories
Answers
Answer:
98 calories is the closest estimate
590 x 2 = 1180
1180 / 12 = 98.3
SOMEONE HELP ME PLEASEEEEEE !
Answers
Answer:
123.6
Step-by-step explanation:
Find the area of the circle, because the four quarter circles add to one circle. The circle has a diameter of 24, so the area of it is 452.4. The square has an area of 24*24, so the area is 576. Subtract the area of the circle from the square, and you get 123.6. Hope this helps!
*DISCLAIMER THIS IS NOT A REAL QUESTION*
So I heard the most bullcrap thing yet
Izuku and Bakugou vs Gon and Killua
CLEAR FACTS: Killua vs Bakugou
Feats:
Killua can move at 12'000 mph, Melody could barely hear Hi footsteps BUT Melody could hear a conversation from miles across a city, and then you Have Godspeed.
Gon can move 200'000 mph, He has mastered nen, Top feat destroyed a massve chunk of a forest, and then you Have Adult Gon
Izuku can move at mach 29, Still hasn't mastered OFA, Top Feat Destroy, and then you have 100%OFA(Copyrighted SSJ2 Gohan and nen eyes)
Bakugo can move 27mph, His explosion's are harmless(anyone even near a expulsion should have there insides melted yet everyone is fine with them and they do not tooo much damage to Todoroki or Izuku or even his old bully friends in middle school and childhood), Also if Izuku shares his DNA ya get super OFA Bakugou (a lil stronger than deku but not big enough)
Answers
Answer:
so which one would beat up who?
Step-by-step explanation:
Answer:
killua is strongest out of all of them so i think hell wjin
Step-by-step explanation:
On the number line bug A is moving in the positive direction from the point 0, and a bug B is moving in the negative direction from the point 0. The speeds of both bugs are constant. Both leave 0 at the same time, and three seconds later A has reached 18 and B has reached -15
If x is the point reached by A after t seconds, and y is the point reached by B after t seconds, express x and y in terms of t.
Answers
Answer:
x =6t
y = - 5t
Find the sum of the first 33 terms of the following series, to the nearest
integer.
2,8, 14, ...
Answers
Answer:
3234
Step-by-step explanation:
The series is arithmetic with a common difference = d = 6
First we need to find the 33rd term. Use the formula [tex]a_{n} = a_{1} + (n - 1)d[/tex] where n = 33 and [tex]a_{1} = 2[/tex]
[tex]a_{33} = 2 + (33 - 1)6 = 2 + 32(6) = 194[/tex]
Now the formula for the sum of an arithmetic series is [tex]S_{n} = \frac{n(a_{1} + a_{n} )}{2}[/tex]
So, [tex]S_{33} = \frac{33(2 + 194)}{2}[/tex]
= [tex]\frac{33(196)}{2}[/tex]
= 3234
perfect square trinomial conditions
Answers
Step-by-step explanation:
step 1. an example of difference of squares (dos) is (x + y)(x - y) = x^2 - y^2.
step 2. dos must have only 2 square rootable terms and a "-" between them.
step 3. 196x^2 - 121y^2 = (14x + 11y)(14x - 11y) works!
step 4. 5x^2 - 245 = 5(x^2 - 49) = 5(x + 7)(x - 7) works!
step 5. 27w^5 - 75w = 3w(9w^4 - 25) = 3w(3w^2 + 5)(3w^2 - 5) works!
step 6. x^4 - 100y^2 = (x^2 - 10y)(x^2 + 10y) works!
On the number line, which point is the closest pi .
A.
B.
C.
D.
Answers
The closest point to the number line is C.
Hence Option C is correct.
In the given number line
There are 10 equidistant points between 3.1 and 3.2
So, the set of points shown on the line is,
{3.1, 3.11, 3.12, 3.13, 3.14, 3.15, 3.16, 3.17, 3.18, 3.19, 3.2}
Therefore,
Point c represents point 3.14 approximately.
Since we know that π is an irrational number,
So it is non-terminating and non-repeating but for approximation,
π = 22/7
π ≈ 3.142
Hence,
The point C is very close to the π.
To learn more about number line visit:
https://brainly.com/question/32029748
#SPJ6
DUE TONIGHT, please help me i'm really confused and please show work.
I will mark Brainly
Answers
Answer:
this is linear equation correct?
Step-by-step explanation:
let me know i might be able to help
You deposited $1,500 in a savings account that pays 3% interest annually, compounded monthly. After one year, your balance is $1,545.62. What is your rate of return for one year?
3%
1.03%
3.04%
0.03%
Answers
Answer:
100 + 10% = $110, and after two years you will have $110 + 10% = $121.
Step-by-step explanation:
Write a note to a friend explaining how to use long
division to find the quotient.
2x2 – 3x – 5
x+1
Answers
Answer:
I believe it's 2x²-8x + 1
Step-by-step explanation:
Combine like terms
2x²- 3x - 5x + 1
2x²- 8x + 1
A shirt costs $5 less than a sweater. Together they cost
$25. How much does the sweater cost? _____
Answers
Answer:
$20
Step-by-step explanation:
together they cost $25, do 25-5
Answer:
Sweater-15$
Shirt-10$
Step-by-step explanation:
Sweater x
Shirt x-5
x+x-5=25
2x=30
x=15 (sweater)
x-5=15-5=10 (shirt)
15 in 10 in 10 in plsssssss help
Answers
Answer:
The answer is 800
Step-by-step explanation:
Hope this helps :)
if joans assignment is to read 80 pages, and she has read 4/5 of her assignment, how many pages does she have left to read
Answers
Answer:
Pages(P)
Pages left to read(L)
Pages read(R)
L=P-R
R= 4/5 of 80
80/5=16
4*16=64
L=80-16
L=16
Step-by-step explanation:
Having emergency supplies ready is an important step in any preparedness plan. In the space below, draw an example of what your emergency supply pack would look like. Make sure to label each item so that others can see your materials.
Answers
Answer:
Emergency supplies are very important and it is very useful at times of need.
Step-by-step explanation:
Emergency supplies are a set of supplies that we may require at times when some situation or problem arises. During any situation which is not normal, these emergency supplies serves the purpose of life to one self.
Thus everybody should be prepared for the worst and should always keep an emergency supplies with them. These emergency supplies should contain all those item that we may require at times of need. It must contain :
-- a safety kit or a first aid kit
-- at least a gallon of water for drinking purposes and for sanitary purposes
-- a multi tool and a knife
-- a torch and batteries
-- emergency phone numbers and medical phone numbers
-- some clothes and weather resistance blankets
-- some copies of important documents
-- easy to cook and on perishable food items
-- two way radios
-- extra cash
-- maps
help plsss(+Brainliest too.)
Here is a picture of a cube, and the net of this cube.
What is the surface area of this cube?
Answers
Answer:
the answer is 256
Step-by-step explanation:
Mark Me Brainliest Please.A picture frame is 112 inches wider than the picture it holds. Let f represent the width of the frame. Let p represent the width of the picture. Which table represents the situation?
f = p + 1
p f
1 2
2 3
3 4
f = p + 12
p f
1 112
2 212
3 312
f = p + 112
p f
1 212
2 312
3 412
f = p + 3
p f
1 4
2 5
3 6
Answers
Answer:
f = p + 1 1/2
p f
1 212
2 312
3 41
Step-by-step explanation:
A picture frame is 112 inches wider than the picture it holds. Let f represent the width of the frame. Let p represent the width of the picture. Which table represents the situation?
What is this trying to ask me ???
Answers
In ∆ABC,
∠A = 60°∠B = 60°BC = 12 units∠BDC = 90°To Find :Area of ∆ABC = ?Solution :As, we have :
∠A = 60°∠B = 60°So, By angle sum property of triangle :
∠A + ∠B + ∠C = 180°
[tex] \tt : \implies 60\degree + 60\degree + \angle C = 180\degree[/tex]
[tex] \tt : \implies 120\degree + \angle C = 180\degree[/tex]
[tex] \tt : \implies \angle C = 180\degree - 120\degree[/tex]
[tex] \tt : \implies \angle C = 60\degree[/tex]
Now, we have :
∠A = 60°∠B = 60°∠C = 60°As, all angles are of same length, therefore it is a equilateral triangle.
We know that sides of equilateral triangle are equal.
[tex] \tt : \implies AB = BC = AC[/tex]
Now, we have BC = 12 units.
Hence, all sides are of 12 units.
Now, we know that area of equilateral triangle is :
[tex] \large \underline{\boxed{\bf{Area_{(equilateral \: triangle)} = \dfrac{\sqrt{3}}{4} side^{2}}}}[/tex]
[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{4} \times (12 \: units)^{2}[/tex]
[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{\cancel{4}} \times \cancel{144} \: units^{2}[/tex]
[tex] \tt : \implies Area = \sqrt{3} \times 36 \: units^{2}[/tex]
[tex] \tt : \implies Area = 36\sqrt{3} units^{2}[/tex]
So, Area of given triangle is 36√3 units².
Cuatro meses después que se detuviera la publicidad, una compañia fabricante notifica que sus ventas han caido de 100.000 unidades por mes a 80.000. Si las ventas siguen un patron de decrecimiento exponencial, cuantas unidades habra despues de los siguientes dos meses?
Answers
Answer:
51,200 unidades
Step-by-step explanation:
Paso 1
Calculamos el porcentaje de disminución
= 100000 - 80000/100000 × 100
= 20000/100000 × 100
= 20%
Por lo tanto, el porcentaje de disminución cada mes = 20%
Paso 2
La fórmula de la disminución exponencial
y = a (1 - r) ^ t
a = 80.000
r = 20% = 0,2
t = tiempo en meses = 2
y = 80000 (1 - 0,2) ^ 2
y = 51.200 unidades
Usando una función exponencial, se encuentra que habra 71.554 unidades despues de los siguientes dos meses.
Una función exponencial decreciente tiene el siguiente formato:
[tex]A(t) = A(0)(1 - r)^t[/tex]
En que:
A(0) es la cuantia inicial.r es la tasa de desintegración.En este problema:
Inicialmente, 100000 unidades por mes, o sea, [tex]A(0) = 100000[/tex].Cuatro meses después, 80000 unidades por mes, o sea, cuando [tex]t = 4, A(t) = 80000[/tex], e esto es usado para encontrar r.[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]80000 = 100000(1 - r)^4[/tex]
[tex](1 - r)^4 = 0.8[/tex]
[tex]\sqrt[4]{(1 - r)^4} = \sqrt[4]{0.8}[/tex]
[tex]1 - r = 0.945742[/tex]
Por eso:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = 100000(0.945742)^t[/tex]
Apos el siguinte dos meses, hay el mes 6, por eso:
[tex]A(6) = 100000(0.945742)^6 = 71554[/tex]
Habra 71.554 unidades despues de los siguientes dos meses.
A similar problem is given at https://brainly.com/question/14773454
The baseball team wants to buy new baseballs, and their budget is $225. Coach also had to
muy some new cones for $24 and new socks for the team for $32. If each pack of baseballs
most $42, how many packs can coach buy?
Answers
Answer:
4 packs
Step-by-step explanation:
Answer:
169
Step-by-step explanation:
Renee bought 7 potatoes at the supermarket. The shortest diameter of each, in centimeters, is shown below
Answers
Answer:
2, 3, 4
Step-by-step explanation:
Renee bought 7 potatoes at the supermarket. The shortest diameter of each,
in centimeters, is shown below.
2, 3, 4, 4, 6, 6, 7
After Renee used one potato to make dinner, the median diameter of the remaining potatoes was 5 centimeters. Which of these could be the diameter, in centimeters, of the potato Reneetsed?
Solution:
The median of a group of numbers is the middle number when the group of numbers are arranged in a sorted manner, either ascending or descending.
The median of an even group of numbers, is gotten by taken the average of the two innermost numbers.
Given that the diameter of the potato as:
2, 3, 4, 4, 6, 6, 7
Given that after removing one potato, the median of the remaining potatoes was 5 centimeters.
After removing one potato, the remaining would just be 6. 6 is an even number, hence the median would be the average of the 2 middle numbers.
To get 5 cm, it has to be the average between 4 and 6. This is only possible when a potato of diameter 2,3 or 4 is removed.
If potato with diameter 2 is removed, the remaining is 3, 4, 4, 6, 6, 7.
Median = (4 + 6) / 2 = 5
If potato with diameter 3 is removed, the remaining is 2, 4, 4, 6, 6, 7.
Median = (4 + 6) / 2 = 5
If potato with diameter 4 is removed, the remaining is 2, 3, 4, 6, 6, 7.
Median = (4 + 6) / 2 = 5
I need help on this problem
-10.7 + (-19.26)
(I have to show my work btw)
Answers
Answer:
-29.96
Step-by-step explanation:
You add both numbers, as both are negative, and you get the answer.
Match the numbers in scientific notation with the corresponding numbers in standard notation. 2.32E9
Answers
Complete question :
Match the numbers in scientific notation with the corresponding numbers in standard notation.
232,000,000
0.00000431
2,320,000,000
0.000000000000431
2.32E9
2.32E8
4.31E-13
4.31E-6
Answer:
2.32E8 = 232,000,000
2.32E9 = 2,320,000,000
Step-by-step explanation:
2.32E8 - - > 8 digits after the decimal point ; 232,000,000
2.32E9 - - > 9 digits after the decimal point ;
2,320,000,000
4.31E-13 - - > 13 preceeding 0's before digit '4' ; 0.000000000000431
4.31E-6 - - > 6 preceeding 0's before digit '4' ; 0.000000000000431
someonepleasehelp me asap
evaluate (8)-2(15-8)
Answers
Answer:
-6
Step-by-step explanation:
You have to multiple -2 by 15 and -8 separately
8 - 2(15-8)
8 -30 + 16
24-30 = -6
1+2+3+4+5+6+7+8+9+012
Answers
Answer=57
Answer:
57 is your answer......