Josh and Ben spotted a bear in the woods while riding their bikes. Josh rode 3 miles north and Ben rode 2 miles east.

How far apart are the two boys?

Round to the nearest tenth if needed.

Answers

Answer 1

Answer:

3.6 miles

Step-by-step explanation:

a²+b²=c²

a and b are triangle legs, and for this question it doesn't really matter which you identify as a or b. We are looking for c, or the distance apart from each other.

3²+2²=c²

= 9+4=c²

= 9+4= 13

= c² = 13

Now we are looking for the square root of 13

√13 = 3.605...

This rounded to the nearest tenth is 3.6

The answer is 3.6 miles.

Hope this helped and made it a bit easier to understand - sorry if the text format is a little messy.

Answer 2

Josh and Ben are 3.6 miles apart from each other.

The distance covered by Josh north, distance covered by Ben east and the distance between the two boys forms a right angled triangle.

Let x represent the distance between the two boys.

Using Pythagoras theorem:

x² = 3² + 2²

x² = 9 + 4

x² = 13

x = 3.6 miles

Therefore both Josh and Ben are 3.6 miles apart from each other.

Find out more at: https://brainly.com/question/9761076


Related Questions

Geometry please help.

Answers

Answer:

CD = 16

Step-by-step explanation:

We can see that both AC and AB are radii. This means that they are equal, so AC = AB = 17. From segment addition postulate we can say AB = AE + BE

We are given BE, and we found the length of AB, so we can substitute and solve for AE:

AB = AE + BE

17 = AE + 2

AE = 15

Since we are given that AB is perpendicular to CD, ∠AEC would be a right angle, making ΔAEC a right triangle.

Now, we can use the pythagorean theorem to find the length of CE.

a^2 + b^2 = c^2

We are given the hypotenuse, c or AC in this case, and one leg, b, or AE in this case. We can plug in the values we are given:

CE^2 + AE^2 = AC^2

CE^2 + 15^2 = 17^2

CE^2 + 225 = 289

CE^2 = 64

CE = 8

Now, if a chord is perpendicular to a radius(AB in this case) we can say that it is split in half by the radius. This is basically saying that CE = DE = 8.

Again, using segment addition postulate, we can say:

CE + DE = CD

CD = 8 + 8

CD = 16

what the sum of (2×105)+(3.8×105)=

Answers

609 for sure because if you add the all

A circle that has a center at the point (3, -2) with a radius of 6. Write an equation for the circle.

Answers

Answer:

(x – 3)^2+ (y +2)^2 = 36

Step-by-step explanation:

Given data

The formula for the equation of a circle is (x – h)2+ (y – k)2 = r^2,

where (h, k) represents the coordinates of the center of the circle

h=3

k=-2

r= 6

Substitute

(x – 3)^2+ (y – (-2))^2 = 6^2

(x – 3)^2+ (y +2)^2 = 36

Hence the expression for the equation of the circle is

(x – 3)^2+ (y +2)^2 = 36

(add. write your answer as a fraction, as a whole or as a mixed number)
PLEASE HELP . WILL GIVE BRAINLIEST !

Answers

Answer:

3 1/2

Step-by-step explanation:

Answer:

Exact Form: 7/2

Decimal Form: 3.5

Mixed Number Form: 3 1/2

Step-by-step explanation:

Please help! find the common ratio of the geometric sequence. -1/4, 1/16, -1/64, 1/256,... A. 1/64 B. -1/4 C. -1/16 D. 1/16 E. 1/4​

Answers

Answer:

B    -1/4

Step-by-step explanation:

To find the common ratio, divide any term by the previous term.

1/16 ÷ -1/4 = 1/16 * -4 = -4/16 = -1/4

Answer:  B) -1/4

=====================================================

Explanation:

Pick any term of the sequence that isn't the first term. Divide whatever you picked by the previous term. That will compute the common ratio. This applies to geometric sequences only.

So let's say we pick on term 3 and divide it over term 2. That will get us...

[tex]r = \left(\text{3rd term}\right) \div \left(\text{2nd term}\right)\\\\r = -\frac{1}{64} \div \frac{1}{16}\\\\r = -\frac{1}{64} \times \frac{16}{1}\\\\r = \frac{-1*16}{64*1}\\\\r = -\frac{16}{64}\\\\r = -\frac{16}{16*4}\\\\r = -\frac{1}{4}\\\\[/tex]

Where r is the common ratio.

As another example, let's say we picked on term 4 and divided it over the third term

[tex]r = \left(\text{4th term}\right) \div \left(\text{3rd term}\right)\\\\r = \frac{1}{256} \div -\frac{1}{64}\\\\r = \frac{1}{256} \times -\frac{64}{1}\\\\r = \frac{1*(-64)}{256*1}\\\\r = -\frac{64}{256}\\\\r = -\frac{64}{64*4}\\\\r = -\frac{1}{4}\\\\[/tex]

We get the same result. I'll let you try dividing the second term over the first term. You should get r = -1/4 after simplifying.

-------------

Because the common ratio is r = -1/4, this means that we multiply each term by the common ratio to generate the next term.

For instance,

term 3 = (term 2)*(common ratio)

term 3 = (1/16)*(-1/4)

term 3 = -1/64

which matches with the given sequence

What’s the quotient of 5,045 divided by 23

Answers

Answer:

219.347

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

solve the inequality |2x-3|<7

Answers

Answer:

ɪ ʟᴏᴠᴇ ʏᴏᴜ sᴏ ᴍᴜᴄʜ ᴘʟssssss

Which of the following is not a characteristic of term life insurance?

A) Must be renewed periodically

B) Coverage can be denied upon renewal

C) Paid out if you die

D) Ability to access cash value

[Mathematics of Personal Finance A P E X]

Answers

Answer:

D-Ability to access cash value

The statement which is not a characteristic of term life insurance is B) Coverage can be denied upon renewal.

What is Term Life Insurance?

Term life insurance is the simplest form of the life insurance which is a death benefit which pays the policyholder when lives or their heirs when they died.

Here,

Term life insurance has to be renewed periodically.

The coverage of the term life insurance can be extended by renewing it. So it cannot be denied upon renewal.

In term life insurance, it will paid out if you die.

There is a characteristic of ability to access cash value in term life insurance.

Hence the characteristic which is not that of the term life insurance is option B) Coverage can be denied upon renewal.

Learn more about term Life Insurance here :

https://brainly.com/question/27910991

#SPJ5

PLEASE HELP! i would really appreciate it thank you
A triangle has an area of 40 cm². The base and height are scaled by a factor of 4.

The area of the resulting triangle is ___ square cm.

Answers

Answer:

7

Step-by-step explanation:

ASAP
-WILL MARK BRIANIST

Answers

the answer to the problem is 48.

Find the vertex and symmetry for each problem.

y=3X^2+6X+1

y=2x^2-8x+3

y=x^2-10x+25

y=5(x+2)^2+1

y= -2x^2+8x+7

y=23x^2-7

y= -(x+1)^2

y=3x^2-24x+6

y=(x-5)^2+3

y=2.5x^2-15x+9

Answers

Solve the equation for

x

by finding

a

,

b

, and

c

of the quadratic then applying the quadratic formula.

Exact Form:

x

=

3

±

6

3

Decimal Form:

x

=

0.18350341

,

1.81649658

need help on geomtry

Answers

I think it’s 61, I’m sorry if I get it wrong. Not a 100% sure

Tyra’s father is two years more than three times as old as she is. If Tyra is nine years old, how old is her father?
A-29
B-27
C-17
D-18
E-32

Answers

Answer:

A - 29

Step-by-step explanation:

she is Nine so

her dad will be

2+9×3

2+27

29

Answer:

hi how are you doing today Jasmine

pls give me a real answer and the correct one if u try to be a bot ill report you

Answers

Answer:

The value of expression 7m - 6 is 60

Step-by-step explanation:

Given expression;

7m - 6

The value of m = 8

Find:

The value of expression 7m - 6

Computation:

in given expression 7m - 6 , 7 and 6 are constant and m is a variable

Given that value of variable m is 8.

So, by putting value of variable m in the given expression.

7m - 6

7(8) - 6

56 - 6

60

The value of expression 7m - 6 is 60

Find the surface area of the prism.

Answers

Answer:

792 feet

Step-by-step explanation:

based on my calculations this is the answers.

792... I think thats the answer beacause that's what I got sorry if incorrect. Have a great day.

Jordan scored 19 points during a basketball game. She made a total of 9 baskets.

If Jordan made only one-point free throws and three-point baskets, how many of each did she make?

A
1 one-point basket; 6 three-point baskets
B
4 one-point baskets; 5 three-point baskets
C
5 one-point baskets; 4 three-point baskets
D
6 one-point baskets; 3 three-point baskets

Answers

Answer:

B) 4 one-point baskets: 5 three-point baskets

Step-by-step explanation:

(4 x 1) + (5 x 3) = 19

Answer:

B

Step-by-step explanation:

5x3=15

4x1=4

15+4=19

PLUS a total of 9 baskets.

Therefore, your answer is B

Please help! I will give brainliest!

Answers

Answer:

exponential dacay

hope it is helpful.. correct ans..

If you spin the following spinner, what is the probability that you will land on red or green?

Answers

Answer:

2/5

Step-by-step explanation:

The answer is 1/5! :)

help me with math please

Answers

Answer:

b. 4ft

Step-by-step explanation:

thank you for the points, have an amazing day! :)

Answer:

C.

Step-by-step explanation:

We need to use the Pythagorean theorem to complete this problem. We are given the hypotenuse and the base of the triangle in the middle. The hypotenuse is 5 and the base is 3.[tex]5^{2}[/tex] + [tex]3^{2}[/tex] = [tex]a^{2}[/tex] is what we will complete.

[tex]5^{2} +3^{2} = a^{2}[/tex]

[tex]25 + 9 = 34[/tex]

[tex]34 = a^{2}[/tex]

[tex]\sqrt{34} =a[/tex]

Therefore, the answer is C.

Which is equivalent to √3+√12?​

Answers

Answer:

3[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying [tex]\sqrt{12}[/tex]

[tex]\sqrt{12}[/tex]

= [tex]\sqrt{4(3)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex]

= 2[tex]\sqrt{3}[/tex]

Then

[tex]\sqrt{3}[/tex] + [tex]\sqrt{12}[/tex]

= [tex]\sqrt{3}[/tex] + 2[tex]\sqrt{3}[/tex]

= 3[tex]\sqrt{3}[/tex]

Parallelograms 1 and 2 are similar. The perimeter of parallelogram 1 is 12 centimeters and the perimeter of parallelogram 2 is 18 centimeters. 2 y What is the ratio Y : Z?
1. 9:4
2. 4:9
3. 2:3
4. 3:2​

Answers

Answer:

You can set up the ratio 12.4:18.6 because it says that the parallelograms are similar.

Now simplify as much as possible

12.4:18.6

6.2:9.3

2:3

Step-by-step explanation:

Hope this helps! If it's wrong let me know so i can re-check it.

write 43600000×56000 in scientific notation​

Answers

Answer:

(4.36x10^7)x(5.6x10^4)

Step-by-step explanation:

To answer the question what is 43600000 in scientific notation let’s recall how to convert 43600000 to scientific notation as detailed on our home page.

When you split the number 43600000 into a coefficient and a power of 10 you do get 43600000 in exponential form, but there is an indefinite number of possibilities.

As you probably want 43600000 in normalized scientific notation, the coefficient or significand of 43600000 in scientific notation must be in the interval [1,10[.

As there are many ways to express 43600000 in scientific notation, in this post we mean 43600000 in normalized scientific notation, unless stated otherwise. Therefore:

43600000 in scientific notation = 4.36 × 107.

Now you can do that for the other one to found out what it is equal to.  

PLZZZ HELPP WILL REWARD BRAINLEST
Write the polynomial in standard form, name it by its number of terms, and tell its degree
2v^2-2v^3-7+7v

-3m-8-7m^2

Answers

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

() 2v² - 2v³ - 7 + 7v :

Standard Form → 2v³ + 2v² + 7v - 7v

Number of terms → Four (Polynomial)

Degree of Polynomial → Highest degree 3 (Cubic)

(Ⅱ) -3m -8m -7m²

Standard Form → -7m² - 8m - 3m

Number of terms → Three (Trinomial)

Degre of Polynomial → Highest degree 2 (Quadratic)

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Alaina surveys 75 of her classmates and finds that 48% of them like to eat tacos. She also finds that 60% of her 45 relatives like tacos. How many more of her classmates like tacos as compared to her relatives?

Answers

Answer:

48% of 75 is 36 so then 60% of 45 is 27, so then we do simple subtraction and do 36-27 which gives us 9

Step-by-step explanation:

Use the equation below to find c, if a = 43 and b = 49. c=180-a-) ?​

Answers

Answer:

88

Step-by-step explanation:

43 + 49= 92.

Then 180 - 92= 88

C= 88

What is the probability of spinning a number greater than 7 or an odd number? (1 Point)
A.3/10
B.7/10
C.5/10
D.9/10​

Answers

B) 7/10
It is B because there are 7 out of 10 possibilities that you would get a number greater than 7 or an odd number.

To construct a compound pulley with an ideal mechanical advantage of 6 you would arrange several fixed and movable pulleys so that a total of ... rope segments were pulling up on the load


Please give correct answer!

Answers

Answer:

6.

Step-by-step explanation:

A simple machine can be defined as a type of machine with no moving parts but can be used to perform work.

Basically, a simple machine allows for the transformation of energy into work. The six simple machines are; lever, wedge, inclined plane, screw, wheel and axle, and pulley.

A pulley is typically made up of a wheel and rope which allows force to be multiplied such as in a drawing well.

In order to construct a compound pulley with an ideal mechanical advantage of 6 you would arrange several fixed and movable pulleys so that a total of 6 rope segments were pulling up on the load.

Hence, you need 6 pulley wheels and 6 rope segments to construct a compound pulley with an ideal mechanical advantage of 6.

To find the ideal mechanical advantage;

Mathematically, IMA is given by the formula;

[tex] IMA = \frac {distance \; over \; which \; the \; effort \; is \; applied}{distance \; the \; load \; travels} [/tex]

NB: The ideal mechanical advantage has no units.

Juan bought 5 cupcakes and 3 bearclaws for 45$. Lily bought 4 of the same cupcakes and 6 of the same bearclaws for 72$. What is the price of each item?

Answers

Answer:

Cup cakes= $3

Bear claws = $10

Step-by-step explanation:

Let the orice of cupcakes be x and the price of bear claws be y

5x+ 3y= 45

4x + 6y= 72

Multiply equation 1 by 4 and equation 2 by 5

20x + 12y= 180

20x + 30y= 360

-18y= -180

y= 10

Substitute 10 for y in equation 1

5x + 3(10)= 45

5x + 30= 45

5x = 45-30

5x= 15

x= 15/5

= 3

Hence the price of cup cakes is 3 and bear claws is $10

hey what's the answer !!

[tex] \sqrt{98 - ( 17)} [/tex]

(ノ≧∇≦)ノ ​

Answers

Answer:

√98-17

=√ 81

=√ (9)^2

=9 is ans

Answer:

[tex] \sqrt{98 - ( 17)} [/tex]

[tex] {\sqrt{81}} [/tex]

[tex] {\sqrt{9²}} [/tex]=±9

is your answer

Ahh I forgot how to do this HELP ASAP PLZZ

Answers

Answer:

The answer is C!

Step-by-step explanation:

Other Questions
Which of the following code snippets will output the following:HelloHelloHelloA: print("Hello") print("Hello") print("Hello")B: for i in range(3): print("Hello")C: print("Hello"*3)D: print("Hello\n"*3) Nikki grows 20 tomato plants.She measures their heights to the nearest centimetre, and writes them down. what can you compare poverty to? help meeeee? write a description of the ecosystem including biotic and abiotic factors? plz help with the Measure of a triangles side Can someone just check and tell me if this is right. If it's not correct can you explain how to do it? PLEASE HELP WILL MARK BRAINLIEST Help pleaseeeeeeeeeeeee Which substance keeps its shape, weight, and volume when it is moved to a bigger container? The diagram below represents two flies.They look similar but they can not sexually reproduce with each other and produce offspring. This means that the two flies most likely belong to (1) the same kingdom and same species (2) the same kingdom, but different species3) different kingdoms, but same species (4) different kingdoms and different species (I can't put the picture my bad) Does a compromised account on Instamean your banned for a few days????? Yes or no?Answer ASAP Over the past year, the vice president of human resources at a large medical center conducted a series of three-month workshops aimed at increasing worker motivation and performance. As a check of effectiveness, she selected 7 employees from the personnel files and recorded their most recent annual performance ratings along with the ratings attained prior to attending the workshops. At a 5% level of significance, before after. is there evidence that the workshops increased performance ratings? Take the differences = Before After 72 59 74 72 62 89 74 67 78 81 88 92 71 81 Take the differences before-after. Order the data smallest to largest, ignoring the negative signs. Rank the data from 1 to 7 Observation 5 had the values Before = 81 and After 78. What is the difference before - after of these values? What rank will observation 5 receive? Add up all the ranks that have a negative difference, T . What is the value of T? Add up all the ranks that have a positive difference,, T+. What is the value of T+? What is the test statistic, T? Paris: Younger than she are happy mothers made. based off this, why does Paris not think Juliet is too young to get married? Solve for x.2x + 153x - 20x = [?] En que ambiente/espacio se desarrollan los hechos en la increble y triste historia de la Cndida Erndira y su abuela desalmada??? A stadium has 8,436 seats that are divided into 12 different sections. Each section has the same number of seats.How many seats are in each of the 12 sections? please show the work Rewrite the function f(x) =-4(x+3)2-2 in the form f(x) = ax?+bx+c.| f(x) = 1X? 1) How often do I genuinely express gratitude to those in my life?2) Do I only share what they mean to me when they do something for me, or do I express mygratitude more often? explain how to graph y= -3/2 x + 4 can someone help me pleaseeeeee