A couple of two-way radios were purchased from different stores. Two-way radio A can reach 3 miles in any direction. Two-way radio B can reach 6.44 kilometers in any direction.

Part A: How many square miles does two-way radio A cover? Use 3.14 for π and round to the nearest whole number. Show every step of your work. (3 points)

Part B: How many square kilometers does two-way radio B cover? Use 3.14 for π and round to the nearest whole number. Show every step of your work. (3 points)

Part C: If 1 mile = 1.61 kilometers, which two-way radio covers the larger area? Show every step of your work. (3 points)

Part D: Using the radius of each circle, determine the scale factor relationship between the radio coverages. (3 points)

Answers

Answer 1

Answer:

don't copy this word for word, but here's the answers and reasons you can use
also mark me brainliest if this helps pls

Step-by-step explanation:

Part A:

The area covered by a circle is given by the formula:

A = πr^2

where r is the radius of the circle.

For two-way radio A, the radius is 3 miles. So we have:

A = π(3)^2

A ≈ 28.27 square miles

Therefore, two-way radio A covers approximately 28 square miles.

Part B:

For two-way radio B, the radius is 6.44 kilometers. However, the formula for the area of a circle uses the squared value of the radius, so we need to square 6.44:

A = π(6.44)^2

A ≈ 130.23 square kilometers

Therefore, two-way radio B covers approximately 130 square kilometers.

Part C:

To compare the two areas, we need to convert the area covered by two-way radio A to kilometers:

1 mile = 1.61 kilometers

So 3 miles is equivalent to:

3 miles x 1.61 kilometers/mile = 4.83 kilometers

The area covered by two-way radio A in square kilometers is:

A = π(4.83)^2

A ≈ 73.03 square kilometers

Comparing the areas, we see that two-way radio B covers the larger area.

Part D:

The scale factor relationship between the radio coverages is the ratio of their radii. Using the given conversion factor, we can convert the radius of two-way radio A to kilometers:

3 miles x 1.61 kilometers/mile = 4.83 kilometers

So the scale factor relationship is:

4.83 km (radius of two-way radio A) / 6.44 km (radius of two-way radio B)

= 0.75

This means that the coverage area of two-way radio B is approximately 0.75 times the coverage area of two-way radio A.

Answer 2

Given that A couple of two-way radios were purchased from different stores. Two-way radio A can reach 3 miles in any direction. Two-way radio B can reach 6.44 kilometers in any direction.

A) two way radio A can cover 28 square miles. (using area of circle)

B) two way radio B can cover 132 square kilometer.  (using area of circle)

C) Area of coverage of radio B is more.

D) Using the radius of each circle, the scale factor relationship between the radio coverages of A and B is 3:4.

Area of a circle is given by the formula [tex]\pi r^2[/tex].

A) radius of radio A = 3 miles

Area of coverage = [tex]\pi r^2 = 3.14 *3*3 = 28.26[/tex] sq miles

B) radius of radio B =  6.44 km

Area of coverage = [tex]\pi r^2 = 3.14 *6.44*6.44 = 130.22[/tex] sq km

C) 1 mile = 1.61 km

1 sq mile = 1.61 km * 1.61 km = 2.5921 sq km

Area of coverage of radio A = 28.26 sq miles = 28.26 *2.5921 = 73.25 sq km

On comparison, area of coverage of radio B is more.

D) 1 mile = 1.61 km

radius of radio A = 3 * 1.61 = 4.83 km

scalar factor relationship between radio A and B = [tex]\frac{4.83}{6.44} = 3:4[/tex]

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Related Questions

Which expression is equivalent to (4x – 5) – (-3x + 4)?

Answers

Answer:

(4x – 5) – (-3x + 4) can be simplified by distributing the negative sign to the terms inside the parentheses:

(4x - 5) + (3x - 4)

We can then combine like terms by adding the coefficients of x and the constants:

7x - 9

Therefore, the expression that is equivalent to (4x – 5) – (-3x + 4) is 7x - 9.

(4x -5) - (-3x +4) equals to 7x - 9

PLEASE HELP! DUE TODAY!!

Answers

Answer: D. 56 units

Step-by-step explanation:

   To find the perimeter, we will count the units all around the outline of the outside of the figure. See attached.

➜ Note that the scale of this coordinate plane is by 2's, not 1's.

56 units
Calculate the perimeter by counting the quarters around the outside of the shape

Please Help Me!!!!!!!!!!!!

Answers

Answer:

First option

Step-by-step explanation:

This is because if 6 is added to 8 then it becomes 14 and the other side is also 14 Thus, the object will be stationary.

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hey! i understand how to get c, but i dont understand how to get A and B

i dont really need the answer, but may someone explain please?

Answers

Answer:

B= (27,0)

A= (34,14)

Step-by-step explanation:

The point where the right angle is (34,0). B would be halfway between this and (20,0). It would be 20+34=54 then 54/2. This is 27. (since it lies on y=0, it's just y=0). The point is (27,0).

A is halfway between (34,0) and (34, 28). They have the same X point, so it would be the middle of 28 and 0. 28+0=28, then 28/2= 14. A would be (34,14).

find the length and width of the rectangular field with an area of 72^2 centimeters? the total length of fence surrounding the field is 44 centimeters.

Answers

Answer: w=117.82 cm and L=44 cm

Step-by-step explanation:

72^2 = 5184 cm

5184/44 = about 117.82 cm

answer is l=44cm w= 117.82cm
72^2=5184 cm
5184/44=117.82cm

10.a jar of 70 candies has the following colors: 28 orange, 7 white, 14 brown, and 21 yellow.what is the probability of randomly drawing a candy that is not brown, replacing it, and then drawing a orange candy?

Answers

The total number of candies in the jar is 70, out of which 14 are brown. Therefore, the number of candies that are not brown is 70 - 14 = 56.

To find the probability of drawing a candy that is not brown, replacing it, and then drawing an orange candy, we can use the multiplication rule of probability. According to this rule, the probability of two independent events occurring together is the product of their individual probabilities.

So, the probability of drawing a candy that is not brown on the first draw is 56/70. After replacing the candy, there are still 70 candies in the jar, so the probability of drawing an orange candy on the second draw is 28/70.

Multiplying these probabilities, we get:

(56/70) x (28/70) = 0.16

Therefore, the probability of randomly drawing a candy that is not brown, replacing it, and then drawing an orange candy is 0.16 or 16%.

What is the surface area, in square millimeters, of the right rectangular pyramid?

A. 235,280 square millimeters
B. 340,928 square millimeters
C. 342,688 square millimeters
D. 576,208 square millimeters

Answers

Answer:C

Step-by-step explanation:

A bowl contained 57.1 grams of salt. Then, Trey poured in another 24.24 grams. How much salt does the bowl contain now?

Answers

81.34
Just add the numbers
81.34, all you need is a calculator and add them up….

How many terms are in this expression?
m+2n

Answers

Answer:

There are 2 terms.

Step-by-step explanation:

1st term: m

2nd term: 2n

The table shows the percent of students who are involved in extracurricular activities at Hopewell Middle School. Based on the data, how many students could you expect to join a club out of the 600 students that attend the middle school?

Answers

Answer: is there a picture of the table?

Step-by-step explanation:

I think the answer is 35

Please help, due today! Thank you

What is the perimeter of the figure on the coordinate plane below?

A.11
B.24
C.22

Answers

Answer:

P = 2(3 + 8) = 2(11) = 22

The correct answer is C.

please help Asap!!!!!!

Answers

Step-by-step explanation:

the product of Janelle's score and 3 is 39, using the variable J to represent Janelle's score.

which can be expressed mathematically as

[tex]j \times 3 = 39[/tex]

cause product is the same as multiplication ✖️

[tex]3j = 39[/tex]

finally, divide both sides by 3

[tex] \frac{3j}{3} = \frac{39}{3} [/tex]

therefore

[tex]j = 13[/tex]

Answer:

13

Step-by-step explanation:

j x 3= 39

so then you use the fraction thingy

[tex]\frac{3j}{3}= \frac{39}{3}[/tex]

so then its 39 divided by 3 gets 13

so its 13

PLEASE HELPPPPPPPPP IM LOSTTTTTTTTTTTTT
(+25 POINTS)

Answers

Answer:

2(1/2 * 3 * 4) + 4 * 2 + 3 * 2 + 5 * 2

Step-by-step explanation:

this triangular prism can be divided into 3 rectangles(S = a*b) and 2 right angle triangles((a*b)/2)

so, the surface area of the triangular prism = ( 4*2 + 3*2 + 5*2) + ((4*3)/2 + (4*3)/2) = 2(1/2 * 3 * 4) + 4 * 2 + 3 * 2 + 5 * 2

Which angle is adjacent to ADB?

Answers

angle D, hope this helps.

Answer: Angle D

Step-by-step explanation:

The students in a class collected data on the number of minutes some of them spend brushing their teeth every day. That data is shown in the dot plot below. please help me

Answers

Answer: 4 students

Step-by-step explanation:

Don't count the dots anything two or less, only count the dots that are > 2

Pre-Algebra 2 Brainliest if correct

Polygon D has been dilated to create polygon D′.

Determine the scale factor used to create the image.

Scale factor of 0.4
Scale factor of 2.5
Scale factor of 0.2
Scale factor of 1.2

Answers

I think the answer is 2.5
2.5 is the answer

You can do 9.5 divided by 3.8 to get 2.5 and 8 divided by 3.2 to get 2.5.

The scale factor has to apply to all the sides so the answer is 2.5






29 PTS! For Point A (m,n) to fall in the correct quadrant, if the value of m is 6, the 6 would be
, and if the value of n is 3, the 3 would be
.

Answers

Answer:

Both 6 and 3 would be negative

Step-by-step explanation:

Both are on the -x and -y side of the graph

Only 15 points not 29

If a^x=pi, then what is a^{-x}? Answer in fraction form.

Answers

a^(-x) = 1/(pi^(1/x)) in fractional form.

1/a^x = 1/pi

Next, we can rewrite a^(-x) as 1/a^x and substitute the expression for 1/a^x from the above equation:

a^(-x) = 1/a^x = 1/(pi^(1/x))

The value of [tex]a^{-x}[/tex] when [tex]a^x = \pi \ is\ 1/\pi[/tex]. To find the value of [tex]a^{-x}[/tex] when [tex]a^x = \pi[/tex], we can use the properties of exponents.

First, recall that a^(-x) is the reciprocal of [tex]a^x[/tex]. In other words, [tex]a^{-x} = 1 / a^x[/tex].

Given that [tex]a^x = \pi[/tex], we have:

[tex]a^{-x} = 1 / a^x\\a^{-x} = 1 / \pi[/tex]

So, The value of [tex]a^{-x}[/tex] when [tex]a^x = \pi \ is\ 1/\pi[/tex].

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Brothers homework 3rd grade

Answers

Answer:

X= 4,469

Y=4,474

Z=4,478

Step-by-step explanation:

Answer:

X = 4469

Y = 4474

Z = 4478

Step-by-step explanation:

X = 4470 - 1 = 4469   OR   4480 - 11 = 4469

Because, X is 1 space behind 4470 and 11 spaces behind 4480.


Y = 4470 + 4 = 4474   OR   4480 - 6 = 4474

Because, Y is 4 spaces ahead of 4470 and 6 spaces behind 4480.


Z = 4470 + 8 = 4478   OR   4480 - 2 = 4478

Because, Z is 8 spaces ahead of 4470 and 2 spaces behind 4480.


Please mark my answer as the BRAINLIEST. Plsssssssssssssssssss

Hope my answer helps you.

:)

whats the seperate areas to this figure?

Answers

Line Up the Feet And Line up the Square Surfare Area

Answer:

Triangles: 4(1/2)(5)(12) = 120 square feet

Square: 5 × 5 = 25 square feet

Total surface area = 120 + 25 = 145 square feet

PLEASE HELP! DUE TODAY

Answers

Answer:

The correct answer is C. 126 units².

Step-by-step explanation:

To solve this problem, we must first realize that this figure is a trapezoid. To find the area of a trapezoid, we should use the following formula:

Area = 1/2(b1 + b2)*h

In this formula, b1 and b2 represent the two bases of the trapezoid and h represents the height.

The height of the trapezoid is 9 units, and the bases are 16 units and 12 units.

Plugging in these values, we get:

A = 1/2(16 units + 12 units)(9 units)

A = (1/2)(28 units)(9 units)

A = 14 units * 9 units

A = 126 units²

Therefore, the correct answer is C. 126 units².

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Answer:

i think its c

Step-by-step explanation:

40 pts!!! HURRY PLS PLS PLS In a complete sentence, describe the positions of these numbers on the number line in relation to each other. Then, write an inequality statement comparing the numbers, using the symbol > or <.
-13 -10

Answers

Answer:-13 is to the left of -10. -10 is to the right of -13.

-13<-10

Step-by-step explanation:

-10 is to the left of -13 bc it is closer to the number 0 than -13. -10 is greater than -13.

Answer -10 > -13 is your inequality statement

Your comparative sentence:

Given -13 and -10 on a number line, we will find -10 at 10 line tick marks to the left of zero, and -13 at 13 line tick marks to the left of zero, -13 is further away from zero so it is smaller than -10.

-10 > -13 is your inequality statement

Please answer the question

Answers

Answer:

Step-by-step explanation:

Which angle is adjacent to ADB?

Answers

Answer:

[tex]\large\boxed{\tt \angle ADC}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked for which angle is \underline{Adjacent} to} \ \tt \angle ADB.[/tex]

[tex]\large\underline{\textsf{What are Adjacent Angles?}}[/tex]

[tex]\textsf{Adjacent Angles are 2 angles that share a common vertex. These angles are}[/tex]

[tex]\textsf{referred to as angles next to each other. Note that it's only possible for an angle to}[/tex]

[tex]\textsf{be Adjacent with another angle if both angle share a common vertex.}[/tex]

[tex]\textsf{Consider noting as well that Adjacent Angles always have to have a common line}[/tex]

[tex]\textsf{segment. This means that one 'arm' of an angle has to be an arm of another.}[/tex]

[tex]\textsf{*Adjacent Angles don't overlap!}[/tex]

[tex]\underline{\textsf{Review of what a Vertex is;}}[/tex]

[tex]\textsf{A Vertex is an intersection point mainly created by lines, or line segments.}[/tex]

[tex]\large\underline{\textsf{Identifying the Adjacent Angle;}}[/tex]

[tex]\textsf{Our focus should be on} \ \tt \angle ADB. \ \textsf{We are trying to find the Adjacent Angle of} \ \tt \angle ADB.[/tex]

[tex]\textsf{We have 2 options to choose from, and they are;} \ \tt \angle ADC \ or \ \measuredangle BCD.[/tex]

[tex]\tt \measuredangle BDC \ \textsf{is a Right Angle, and is greater than} \ \tt \angle ADB. \ \textsf{Hence,} \ \tt \angle BDC \ \textsf{is incorrect.}[/tex]

[tex]\textsf{This leaves our final, and correct option;} \ \tt \angle ADC.[/tex]

[tex]\tt \angle ADB \ and \ \angle ADC \ \textsf{are Adjacent Angle for multiple reasons. Note that these angles}[/tex]

[tex]\textsf{are next to each other, they share the same Vertex point, and they share a common}[/tex]

[tex]\textsf{side/arm which is} \ \overrightarrow{\tt DA}.[/tex]

find the surface area of the triangular prism

Answers

Answer:

164 square centimeters

Step-by-step explanation:

S = 2(1/2)(5)(4) + 5(9) + 5(9) + 6(9)

= 20 + 45 + 45 + 54

= 164 square centimeters

Answer:same

Step-by-step explanation:

((-3)/5)(-4/7)+12.5
help please

Answers

Answer: About 12.843 or 12[tex]\frac{59}{70}[/tex]

Step-by-step explanation:

    We will follow the Order of Operations to solve this question.

   Given:

[tex]\displaystyle (\frac{-3}{5})(-\frac{4}{7} )+12.5[/tex]

   Multiply:

[tex]\displaystyle (\frac{-3*-4}{5*7})+12.5[/tex]

[tex]\displaystyle (\frac{12}{35})+12.5[/tex]

   Add:

12 [tex]\frac{59}{70}[/tex]≈ 12.843

Answer:

12.8428571429

A scientist measured the weights of squirrels in two populations. The dot plots display data from each population. Population 1 11 12 13 14 15 16 17 18 19 20 Squirrel Weight (ounces) Which statement is best supported by the information in the dot plots? The data for the two populations have different ranges. The two populations have different median weights. The data for the two populations have different skews. The two populations have different mode weights. Population 2 11 12 13 14 15 16 17 18 Squirrel Weight (ounces) + 19 20​

Answers

The statement that is best supported by the information shown on the dot plots is A. The data of the two populations have different ranges.

How to find the range ?

The range of the data as shown in the dot plots of the weight of squirrels in the two populations can be found by the formula :

= Largest weight - Smallest weight

Range of population 1;

= 18 - 12

= 6 ounces

Range of population 2:

= 19 - 11

= 8 ounces

The range of the two populations is therefore different.

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how is donation sorting indirect service?

Answers

Donation sorting can be considered indirect service because it does not involve direct interaction with the intended beneficiaries of the donations. Instead, it involves organizing, categorizing, and preparing donated items for distribution to those in need. While donation sorting may not involve face-to-face interactions with the people being served, it is still an important aspect of the service process because it helps to ensure that donated items are distributed in an organized and efficient manner, and that they reach the people who need them the most. By volunteering in donation sorting, individuals can indirectly contribute to the betterment of their community and the well-being of those who are less fortunate.

Silvia is beginning an exercise program that calls for 20 minutes of walking each day for the first week. Each week thereafter, she has to increase her daily walking for a week by 7 minutes. In which week will she first walk over an hour a day?

Answers

the 13th week i believe.

What is the number, in cubic inches of the original box?

Answers

The volume of the original box is given as

V = lwh

V = 10(6)(3)

V = 180 in³

180 inches that’s the answer your welcome
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