Suppose two bicyclists start at the same location.
The first bicyclist rides due north and the other rides
due west. Find the distance in miles that the first
bicyclist rode if they are 3/2 miles apart after riding
for 1 hour at the same speed.

Suppose Two Bicyclists Start At The Same Location.The First Bicyclist Rides Due North And The Other Ridesdue

Answers

Answer 1

Answer:

Step-by-step explanation:

See attachment.

If both cyclists travel for the same time and speed, they will have travelled the same distance.  Since one is headed north and the other east, we can see that the distance between them in one hour is the hypotenuse of a right triangle.  Each leg has distance x.  We can say x^2 + x^2 = (3[tex]\sqrt{2}[/tex])^2

2x^2 =1 8

x^2 = 9

x = 3

They both rode 3 miles.

Suppose Two Bicyclists Start At The Same Location.The First Bicyclist Rides Due North And The Other Ridesdue

Related Questions

Use your knowledge of isosceles and equilateral triangle‘s to find the requested information.

Find m

Answers

Answer:

48 degrees

Step-by-step explanation:

6y=8y-16

y=8

8(8)-16= ?

64-16=

Answer:

∠ P = 48°

Step-by-step explanation:

Since NM = PM then the triangle is isosceles with base angles being congruent, then

∠ P = ∠ N , that is

8y - 16 = 6y ( subtract 6y from both sides )

2y - 16 = 0 ( add 16 to both sides )

2y = 16 ( divide both sides by 2 )

y = 8

Then

∠ P = 8y - 16 = 8(8) - 16 = 64 - 16 = 48°

Which of these actions would decrease heat transfer between two objects?

increasing the temperature of the warmer object
increasing the area of their contact
reducing the thermal energy of the cooler object
reducing the time of their contact
(Fr ran out of free answers)

Answers

Answer:

increasing the area of their contact

The model below represents an equation. Which value of x makes the equation
true?

Answers

Answer:

1,1,1,1

Step-by-step explanation:

I believe this is right

A local volunteer group has 150 raffle tickets to sell. They sell them in packs of three tickets per customer. Determine which graph and which equation represent the number of tickets, T, the group has left after selling tickets to c customers.

Answers

The equation that represents the number of tickets T, the group has left after selling tickets to c customers is:

T  =   150  -  3c

The graph representing the equation is plotted below

The total number of tickets that the volunteer group has = 150

They sell the tickets in packs of three tickets per customer

The number of customers is c

Number of tickets sold to c customers = 3c

The number of tickets left after selling tickets to c customers is:

T  =   150  -  3c

Learn more here: https://brainly.com/question/25912293

Answer:

I HAVE COME TO SAVE THE DAY!

ok the equation is t= -3c + 150

the graph is the one that is the same as the equation the y intercept is 150 the slope is -3 over 1 (up three over one) on y test the answers were the top right for both boxes but it might be different for you

HELP!!!!!!

Find the length of segment SV.

Answers

Answer:

how do u want the formula because there is no numbers

This is my question pls help

Answers

Answer:

a = 15

Step-by-step explanation:

Substitute b = 12 , a = 9 into the equation

12 = [tex]\sqrt{a^2-9^2}[/tex]

12 = [tex]\sqrt{a^2-81}[/tex] ← square both sides

144 = a² - 81 ( add 81 to both sides )

225 = a² ( take square root of both sides )

± [tex]\sqrt{225}[/tex] = a , then

a = ± 15

a > 0 , so a = 15

3\sqrt{ }528
please help

Answers

Answer:

8.08248

Step-by-step explanation:

Use a calculator

12x+15y=-45 put into slope-intercept form, simplify all fractions.

Answers

Answer:

y = -4/5 x - 3

Step-by-step explanation:

15y = -45 - 12x

5y = -15 - 4x

y = -4/5 x - 3

Milan needs to read 3 novels each month.
Let N be the number of novels Milan needs to read in M months.

Write an equation relating N to M. Then use this equation to find the number of novels Milan needs to read in 17 months.

Answers

Answer:

N=3M, 51

Step-by-step explanation:

The total number of novels is equal to 3 x Months, For every month, Milan reads 3 books, so for 17 months, 17 x 3 = 51, So N = 51

equation: 1/3n=m

answer: 51 novels

Simplify 2^3 x 2^18 ​

Answers

Answer:

2^21

Step-by-step explanation:

3+18=21

Answer:

2/27

Step-by-step explanation:

Here is me work:

Does any one mind helping me on this question I have struggle solving it

Answers

answer for (a) attached.

1 1/3 x 5/8

A.3/4
B.4/5
C.5/6
D.5/8

Answers

the answer is 5/6, hope this helps
4/3 x 5/8 = 20/24 = 5/6

The answer is C.

evaluate 3d/2a, when d=4 and a = -1​

Answers

Answer:

ok

Step-by-step explanation:

Please show your work !! 3and 4

Answers

Step-by-step explanation:

#3. 3^⅓ × 9^⅓ ......make the bases the same

3^⅓ × (3²) ^⅓

3^⅓ × 3^⅔ .....since the bases are the same, add the powers

3^ (⅓+⅔)

3^1

3

#4. ( x +6) ^ 3/5 = 8¹....multiply both sides by the reciprocal of 3/5

(x + 6) ^3/5 *5/3= 8^¹*5/4

x + 6 = 8^5/3

x + 6= ( 3√8)^5

x + 6 = 2^5

x + 6 = 32

x = 32 -6

x = 26

hope this helps!

Not sure though

What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the y-axis?

(–8, –6)
(–6, 8)
(8, 6)
(6, –8)

Answers

Answer:

The answer is B. (-6,8) !

Step-by-step explanation:

Triangle ABC is rotated clockwise about the origin through 90°. The resulting triangle is then
rotated clockwise about the origin through 270° Identify the vertices of the triangle after
these transformations

Answers

When a shape is rotated, it must be rotated through a point.

The vertices of the triangle would remain unchanged after both transformations

Assume the coordinates of triangle ABC is (x,y).

The first rotation is 90 degrees clockwise rotation.

The rule of this transformation is:

[tex](x,y) \to (y,-x)[/tex]

Next, the triangle is rotated 270 degrees clockwise.

The rule of this transformation is:

[tex](x,y) \to (-y,x)[/tex]

So, we have:

[tex](y,-x) \to (x,y)[/tex]

Hence, the vertices of the triangle would remain unchanged after both transformations

Read more about transformation at:

https://brainly.com/question/4057530

two angles of a triangle are 5x+20 and 2x+30 find the third angles​

Answers

Answer:

Third angle is [tex]130-7x[/tex]

Step-by-step explanation:

We have sum of angles is [tex]180^{0}[/tex]

Let the third angle be [tex]y[/tex]

Hence

[tex]5x+20+2x+30+y=180\\\\y=130-7x[/tex]

Third angle is [tex]130-7x[/tex]

PLEASE HELP ME!!!!!!!​

Answers

Answer:

The answer is B

Step-by-step explanation:

The answer would be B because the domain of a function is always all real numbers.

MARKING BRAINLIEST In two or more complete sentences, explain how to use ordered palrs of points in f(x) = 2x+5 and g(x) = x-5/2 to
determine if f(x) and g(x) are inverses of each other

Answers

Answer:

It is very difficult to know because you did not include the function g(x), you only gave us f(x).

Given two lists of ordered pairs [x,f(x)] and [x,g(x)]. If for every ordered pair on the f(x) list the reverse is on the g(x) list the functions are inverses.

f(0) = 5 so for (0,5) on the f(x) list then (5,0) must be on the g(x) list

f(1) = 7 so for (1,7) on the f(x) list then (7,1) must be on the g(x) list

f(2) = 9 so for (2,9) on the f(x) list then (9,2) must be on the g(x) list

So even though you didn’t list g(x), g(x) = (x/2) - 5/2

Well, we know that if we have an ordered pair of points (a,b) that satisfy a function y=f(x), then the inverse function will necessarily have a set of points (b,a).

We can choose any set of point that satisfy our first function f(x). x=3 => f(3)=11 so our set of points will be (3,11). Now if g(x) is and inverse function of f(x), when we calculate g(11) it should be equal to 3. Let's see:

g(11) = (11-5)/2 = 3. It works.

We have proven that f(x) and g(x) are the inverses of each other.

What is the quotient of 56÷34?

Answers

Answer:

56/34 = [tex]\frac{28}{17}[/tex] or [tex]1\frac{11}{17}[/tex] or 1.65

Answer:

56/34=1.65 or 1 [tex]\frac{13}{20}[/tex]

Step-by-step explanation:

Which decimal is 5.764 round to the nearest hundredth

Answers

Answer: I think it's 6

Step-by-step explanation:

x=4y,2x+y=18 solve by substitution show all work

Answers

Here is the math, did it on paper, sorry it’s blue. just add parenthesis around the x in the second equation and add what x equals. then solve as PEMDAS.

2(x-3) < 3(2x+2)
How do I solve for x

Answers

Answer:

x < -3

Step-by-step explanation:

2(x-3) < 3(2x+2)

Use the distributive property.

(2× x)-(2×3) < (3 × 2x) + (3×2)

2x-6 < 6x+6

add 6 to both sides

2x < 6x+12

subtract 6x from both sides.

-4x < 12

divide both sides by -4

x < -3

What is the graph of the function rule? y=|3x|+2

Options below!

Answers

Answer: the 4th/last option

Step-by-step explanation:

Y goes up when x goes down or up. When x = 0, y = 2

Step-by-step explanation: I like to have the 3 on the

outside and we can just write it as y = 3|x| + 2.

Now, we know that this is the form y = a|x - h| + k where

(h, k) represents the vertex of the function.

Notice that there is no value of h so we say that h = 0.

In addition, we know that k = 2 so our vertex is (0, 2).

This eliminates the first graph and the third graph.

Since a is positive, our function opens upward.

So graph 4 matches with our equation.

hunter has a jar of 368 nickels and dimes. the total value of coins is $28.40. which system of equations below would be the best to use to find the number of nickels and dimes hunter has?

Answers

Answer:

We can't see your answer choices, but it would be n + d = 368 and .05n + .10d = 28.40

Step-by-step explanation:

n+d=368 and 0.05n+0.1d=$28.40 is the system of equations below would be the best to use to find the number of nickels and dimes hunter has

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that hunter has a jar of 368 nickels and dimes.

The total value of coins is $28.40.

We need to find the system of equations below would be the best to use to find the number of nickels and dimes hunter has

The total quantity of nickels and dimes is 328

n+d=368

The value of nickel is 0.05 dollars

The value of dime is 0.10 dollars

0.05n+0.1d=$28.40

Hence, n+d=368 and 0.05n+0.1d=$28.40 is the system of equations below would be the best to use to find the number of nickels and dimes hunter has

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

Is this correct check please

Answers

Answer:

its most likely CORRECT!

just have confidence that your answers are correct :)

Answer:

yes

Step-by-step explanation:

An old coin is sold for $2 and its value increases by 8% each year after it is sold. What is the value of the coin, in dollars, in 10 years

Answers

Principal=P=$2Rate of interest=8%=RTime=T=10years

Interest be I

[tex]\\ \sf\Rrightarrow I=\dfrac{PRT}{100}[/tex]

[tex]\\ \sf\Rrightarrow I=\dfrac{2(8)(10)}{100}[/tex]

[tex]\\ \sf\Rrightarrow I=\dfrac{280}{100}[/tex]

[tex]\\ \sf\Rrightarrow I=2.8\$[/tex]

Now

Value of coin after 10years =2+2.8=4.8$

Adrian purchases a book for $9.86 and a poster for $3.49. If she gives the cashier
$15.00, how much change should she receive? (Don't worry about taxes!)

Answers

She receives $1.65 cents

PLEASE NO LINKS AND NO NEGATIVITY

Answers

Answer:

B. Combine like terms

Step-by-step explanation:

Inside the parenthesis, they combined -2 and 6 to get a total of 4x

Write the equation of a line that is perpendicular y=-2 And that passes through the point (8,-4)

Answers

Answer:

y=1/2-8

Step-by-step explanation:

slope is 1/2

-4-y=1/2(8-x)

-4-y=4-1/2

-y=-1/2+8

y=1/2-8

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