A cell tower is located 3 miles east and 4 miles north of the center of a small town. The cell tower has a coverage radius of 3 miles.
Answers
Answer:
The answer is below
Step-by-step explanation:
A cell tower is located 3 miles east and 4 miles north of the center of a small town. The cell tower has a coverage radius of 3 miles.
a) Start by drawing a diagram of this situation. Your diagram might include a coordinate plane, the cell tower, and a circle representing the cell tower's coverage boundary.
a) A house is located 5 miles north of the center of the town and is to the east of the cell tower. If the house lies on the boundary of the cell tower's coverage, how far east of the center of the town is the house?
Answer:
Let the center of the town represent the origin (0,0). Also 1 unit = 1 mile. Since the cell tower is located 3 miles east and 4 miles north of the center of a small town, it is represented by A(3, 4)
The cell tower has a coverage of radius 3 miles. This can be represented by a circle with equation:
(x - a)² + (y - b)² = r². where (a,b) is the center of the circle and r is the radius. Hence:
(x - 3)² + (y - 4)² = 3²
(x - 3)² + (y - 4)² = 9
The diagram is drawn using geogebra.
b) The house is 5 miles north. It can be represented by y = 5 line.
To find the distance east of the house we have to substitute y = 5 and solve for x, hence:
(x - 3)² + (y - 4)² = 9
(x - 3)² + (5 - 4)² = 9
(x - 3)² + 1 = 9
(x - 3)² = 8
(x - 3) = √8
x - 3 = ±2.83
x = 3 ± 2.83
x = 5.83 or 1.83
Since it is to the east to the cell tower, hence x = 5.83.
Therefore the house is located 5.83 miles to the east of the cell tower
Related Questions
$450 at 1.4%
for 3 years
Answers
The total compound interest is $19.29.
Answer:
$639
Step-by-step explanation:
$450 * .14 = 63
63 * 3 = 189
450 + 189 = 639
MONEY Joe earns $7.50 an hour working as a
Clerk. Write an equation to find Joe's money
earned m for any number of hours h.
Answers
Multiply the hourly rate by number of hours worked:
M = $7.50h
Match the system of equations with the number of solutions.
y = 6z+8
y = 6x-4
y = 3x + 2
y + 3x = -7
4z - 2y = 10
2z-y = 5
4z + y = 8
y=-2z+8
No Solution
Answers
Answer:
Step-by-step explanation:
The system of equations with no solution is:
y + 3x = -7
4z - 2y = 10
The system of equations with exactly one solution is:
y = 6z+8
y = 6x-4
y = 3x + 2
2z-y = 5
y=-2z+8
The system of equations with infinitely many solutions is:
4z + y = 8
SOMEONE HELP I NEED THE ANSWERS TO THIS PROBLEM
Answers
Answer:
Step-by-step explanation:
∠6 = 45 {Vertically opposite angles are equal}
∠6 + 5x + 35 = 180 {Co interior angles}
45 + 5x + 35 = 180 {add like terms}
80 + 5x = 180
5x = 180 - 80
5x = 100
x = 100/5
x = 20
5x + 35 = 5*20 + 35 = 100 + 35 = 135
∠8 = 5x + 35 { Corresponding angles}
3) ∠8 = 135
4) ∠ 3 = ∠6 {Alternate interior angles are equal}
∠3 = 45
5) ∠6 = 45
PLEASE HELP ME!!! THANK YOU
Answers
The interval notation for the solution set is (-∞, -4] and the number line is on the image at the end.
How to find the solution set of the ienquality?Here we want to find the solution set of the inequality below:
x ≤ -4
First let's do the interval notation. This will be the set that contains all the numbers from negative infinity to -4 (with -4 included, so we need to have a closed set at that end)
This is written as:
(-∞, -4]
The use of the symbols [ ] means that the element belongs to the set.
Now to the number line, we will have a closed circle at x = -4 (because it is a solution) and a line that goes to the left of it. You can see an example in the graph at the end.
Learn more about inequalities at:
https://brainly.com/question/24372553
#SPJ1
PLS HELP!!!
nevaeh is buying balloons for jaylah birthday party. the balloons come in packages of 4. find multiples of 4 to tell how many balloons she will have if she buys 2,3,or 4 packages
Answers
Answer: If she buys 2 packages she gets 8 balloons. If she buys 3 then it’s 12 balloons and for 4 packages it’s 16 balloons.
Step-by-step explanation:
Gianna has a bag that contains pineapple chews, cherry chews, and lime chews. She
performs an experiment. Gianna randomly removes a chew from the bag, records the
result, and returns the chew to the bag. Gianna performs the experiment 49 times.
The results are shown below:
A pineapple chew was selected 25 times.
A cherry chew was selected 21 times.
A lime chew was selected 3 times.
Based on these results, express the probability that the next chew Gianna removes
from the bag will be cherry chew as a percent to the nearest whole number.
Answers
By using probability, it can be calculated that-
Probability that the next chew Gianna removes from the bag will be cherry chew = 42.86%
What is probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probability of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
Here, number of times an experiment is performed = 49
A pineapple chew was selected 25 times.
A cherry chew was selected 21 times.
A lime chew was selected 3 times.
Probability that the next chew Gianna removes from the bag will be cherry chew = \(\frac{21}{49} = \frac{3}{7}\)
= \(\frac{3}{7} \times 100\)
= 42.86%
To learn more about probability, refer to the link-
https://brainly.com/question/24756209
#SPJ1
Please help me fill in the blanks :) marking most Brainly
Answers
Answer:
For the part that contains organic matter your answer is, 35 negative result
For the part that does not contain organic matter your answer is, 60 positive result
Step-by-step explanation:
If we pay attention to the part that contains organic matter the total amount 700 and 665 is positive, so subtract them 700-665 to get 35 negative result
For the part that does not contain organic matter the total amount is 300, and 240 of it is negative, so subtract 240 from 300 to get 60 positive result
Your Welcome, Hope This Helps, And Have an Awesome Day!!!
If the height of a parallelogram is 11m and the
base is 6.9m, what is the area of the parallelogram?
Answers
Answer:
\( \huge{ \boxed{ \tt{75.9}\sf \: {m}^{2} }}\)
Step-by-step explanation:
\( \underline{ \sf{Given}} : \)
\( \star{ \sf{ \: Height \: of \: a \: parallelogram \: (h) \: = 11m}}\)
\( \star{ \sf{ \: Base \: of \: a \: parallelogram \: (b) \: = 6.9m}}\)
\( \underline{ \sf{Finding \: the \: area \: of \: the \: parallelogram \: having \: height \: of \: 11m \: and \: base \: of \: 6.9m}} : \)
\( \boxed{ \sf{Area \: of \: parallelogram = base \: ∗ \: height}}\)
\( \mapsto{ \sf{Area \: of \: parallelogram = 6.9m \: ∗ \: 11m}}\)
\( \mapsto{ \sf{Area \: of \: a \: parallelogram = 75.9 \: {m}^{2} }}\)
Hope I helped!
Best regards! :D
~\( \sf{TheAnimeGirl}\)
\( \huge\sf {\dag Question} \)
If the height of a parallelogram is 11m and the base is 6.9m, what is the area of the parallelogram?
\( \huge\sf {\dag Solution } \)
\( {\underline {\underline {\rm { Given:}}}} \)
h ( height of the parallelogram ) = 11mb ( base of the parallelogram ) = 6.9m\( {\underline {\underline {\rm { To \: find :}}}} \)
Area of the parallelogram
\( {\underline {\underline {\rm { Calculation :}}}} \)
We know that,
\( {\underline {\underline {\rm {\red { Ar. \: of \: parallelogram = h \times b}}}}} \)
Substituting values-
\( \sf {\implies Ar. \: of \: parallelogram = 11 \times 6.9}\)
\( \sf {\implies Ar\: of \: parallelogram = 75.9{m}^{2}}\)
_________________________________An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.9 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 160 engines and the mean pressure was 6.0 pounds/square inch. Assume the variance is known to be 0.36. A level of significance of 0.05 will be used. Determine the decision rule.
Answers
Answer:
Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance
There is a difference between the means
Step-by-step explanation:
Step(i):-
Given that mean of the Population = 5.9pounds/square inch
Given mean of the sample = 6.0pounds/square inch
Given that variance of the Population = 0.36
The standard deviation of the Population = √0.36 =0.6
critical value (Z₀.₀₅)= 1.96
Step(ii):-
Null Hypothesis:H₀: x⁻ = μ
Alternative Hypothesis:H₁: x⁻ ≠ μ
Test statistic
\(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)
\(Z = \frac{6.0-5.9 }{\frac{0.6}{\sqrt{160} } }\)
Z = 2.1097
Final answer:-
Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
There is a difference between the means
A pair of shoes is on sale for $66.00. This is 75% of the original price. What was the original price?
Answers
Answer:
$88.00
Step-by-step explanation:
66=3/4x
66/.75=66*4/3=88
The number of passengers in the bus double every minute. The bus was full of
passengers at 7.45am. When was it one quarter full?
Answers
Answer:
7:43 am.
Step-by-step explanation:
it was 1/2 full one minute ago then another 1/2 = 1/4 full 2 minutes ago.
Knowing how the bus fills, we want to find the time where the bus is one-quarter full.
The bus is one-quarter full at 7:43 am.
We know that at 7:45 am the bus is full. Let's say that the full bus has N people inside.
Each minute the population doubles, so if we go backwards, each minute the population is divided by 2.
One minute before, the bus must have half of the above population, meaning that at 7:44 am, the bus has N/2 people.
Another minuter before the people inside is halved again, then at 7:43 am we will have (N/2)/2 = N/4 people.
And if N is the people in a full bus, then N/4 represents the buss a quarter full.
Then we can answer the question as:
The bus is one-quarter full at 7:43 am.
If you want to learn more, you can read:
https://brainly.com/question/23055320
1) f(x) = x 2+ 3x - 18 2) g(x) = x 2+ 2x - 120 3) h(x) = x 2+ 7x - 17 4) k(x) = x 2+ 9x + 20.25 5) s(x) = 4x 2– 5x - 21 6) t(x) = 16x 2+ 9x + 20 7) f(x) = -2x 2+ 10x - 5 8) r(x) = -3x 2- 5x + 2
Answers
19.- If P is the circumcenter of ABG, AD = 3x - 11-DB = 5x-29, and PC = 18, find DP
Answers
Answer:
DP=5×-29 is your answer right answer
i need the whole problem done and i don’t understand, i need a step by step to show my work. its at 12. PLS HELP
Answers
The surface area of given triangular prism = 24 ft².
For the given triangular prism
Base = 2 ft
height = 3 ft
side = 3ft
We know that,
Surface area of triangular prism
= side x base + 3x base x height
= 3 x 2 + 3x2x3
= 6 + 18
= 24 ft²
Thus,
Surface area = 24 ft²
To learn more about prism visit:
https://brainly.com/question/2918181
#SPJ1
10.A pizza outlet overview its weekly sales. They sold 57
cheese pizzas, 63 pasta pizzas, 53 veggies pizzas, 68
cottage cheese pizzas, and 56 max cheese pizzas. Find the
average of all the pizzas sold by them.
Answers
Answer: 59.4
Step-by-step explanation: 57 + 63 + 53 + 68 + 56 = 297
297 divided by 5 = 59.4
Given P(A) = 0.6, P(B) = 0.79 and
P(A and B) = 0.544, find the value of P(B|A),
rounding to the nearest thousandth, if necessary.
Answers
\(P(B|A) = \frac{P(AandB)}{P(A)}\)
Answer:
0.3324
Step-by-step explanation:
Y=3x+2 What is the value of y when x=5
Answers
y = 3x + 2
y = 3 × 5 + 2
y = 15 + 2
y = 17
hope it helps!
sarah puts $500 in a savings account that earns 3.15% compounded annually. how long does it take for sarah to double her money
Answers
Answer: What are the choices?
Step-by-step explanation:
What is thX= ら*e coefficient of the term x³y5 in the expansion of the binomial expression (2x − y)³?
Answers
The coefficient of the term x²y in the binomial expansion of (2x − y)³ is -12.
The expression (2x − y)³ can be simplified as
8x³−12x²y+6xy²−y³ .
Thus the coefficient of the binomial expansion is -12.
Of the use of the binomial theorem, it is possible to determine the expanded value of either formula with the form (x + y)ⁿ.
The values of (x + y)², (x + y)³, and (a + b + c)² can be easily determined by adding the integers algebraically in accordance with the exponent value.
The binomial theorem was first mentioned by a well-known Greek mathematician by the name of Euclid in the fourth century BC.
According to the binomial theorem, which represents it as a sum of terms using distinct exponents of the variables x and y, the algebraic statement (x + y)ⁿ can be expanded. A coefficient, or numerical value, is assigned to each word in a binomial expansion.
To learn more about binomial expansion visit:
https://brainly.com/question/12249986
#SPJ9
A bag contains marbles of which 8 are blue; 5 are red; 3 are yellow, and 4 are orange. What is the probability of randomly drawing an orange marble, replacing it, and then drawing a blue marble?
Answers
A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile .If Erica has at most $10 to spend on the car ride , how far could she travel?
Answers
The statement "a>2 and a <5" is true when a is equal to what?
A.) 3
B.) 5
C.) 2
D.) 10
Answers
Answer:
A
Step-by-step explanation:
As 2 < a < 5, only option A suffices this condition, because 2 < 3 < 5.
What is the volume of the rectangular prism shown ?
Answers
Answer:18 3/64 in.
Step-by-step explanation:Look at pic to see how it solve
The diagram shows a circle drawn inside a square.
The circle touches the edges of the square.
12 cm
Calculate the shaded area.
Take pie to be 3.142 and write down all the digits given by your calculator.
Answers
Answer:
144 - 36×3.142 = 30.888
30.888 ÷4 = 7.722
The number of students, y, still participating in the final round of a school spelling bee compared to the number of spelling words attempted, x, can be represented by a scatter plot with a negative, linear association. Which equation for a line of best fit could be used to represent the number of students still participating in the final round of the school spelling bee given a number of spelling words attempted?
Answers
The possible line of best fit is given by y = -0.5x + 10
What is a linear equation?A linear equation is in the form:
y = mx + b
Where y, x are variables, m is the rate of change and b is the y intercept.
Let y represent the students still participating in the final round while x represent the number of spelling words attempted.
Since the line of best fit has a negative, linear association, this means that the slope is negative. A possible linear function is:
y = -0.5x + 10
The possible line of best fit is given by y = -0.5x + 10
Find out more on linear equation at: https://brainly.com/question/14323743
The measure of an angle is 89º. Find the measure of its supplement
A) 91 degrees
B) 81 degrees
C) 90 degrees
D) 80 degrees
Answers
Answer:
The is A) 91
Step-by-step explanation:
length of a rectangle is 3 times its width. If the length is 9cm what is the area of the rectangle
Answers
Answer:
I think it's 27
because length is 3 times its width
Hi, wanted to know if this looks correct to you guys, please leme know?
Answers
Answer:
yep all looks good to me
Step-by-step explanation:
Express the inequality using interval notation. 3<×≤5
Answers
Answer:
(3,5]
Step-by-step explanation: