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

Find the value of x
6.1 - angles of polygons

Answers

Answer:

x = 46°

Step-by-step explanation:

The sum of interior angles = (n-2) × 180°

= (5-2) × 180°

= 540°

2x+3x+3x-4+3x+x-8 = 540°

12x = 552°

x = 46°

Ok done. Thank to me:>

jay wants to buy a pair of shoes that have a regular price of 95. he found them on sale for 45% off. if the store charges 8% tax, how much did he have to pay for the shoes?

Answers

45% of 95 is 42.75. So since they are 45% off subtract. Making the new pre tax cost of the shoes $52.25. 8% of 52.25 for the tax is $4.18. So for the total cost add 4.18+52.25. The total cost paid for the shoes should be $56.43

Help plz im on a timer at school

Answers

Answer:

it is reduction so the answer is B.

Step-by-step explanation:

Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to the Sun. In the image, drepresents the distance from a star to the Sun. Using a technique called "stellar parallax," astronomers determined 0 is 0.00001389 degrees.
write an expression to calculate d for any star

Answers

By calculating the distance of a star to the Sun, astronomers can calculate the distance from Earth to the star.

[tex]\displaystyle \mathrm{The \ \mathbf{expression} \ to \ calculate \ \mathit{d} \ for \ any \ \mathbf{star} \ is; \ \underline{d \ is \ \frac{1 \, AU}{tan(\theta)}}}[/tex]

Reasons

The given parameters are;

The distance from the star to the Sun = d

The angle formed by the ray to the Sun and the ray to Earth from the star, θ = 0.00001389 degrees

The average distance from Earth to the Sun = 1 AU

By trigonometric ratios, we have;

[tex]\displaystyle tan(\theta) = \mathbf{\frac{Opposite}{Adjacent}}[/tex]

Therefore;

[tex]\displaystyle tan(\theta) = \frac{1}{d}[/tex]

The expression to calculate for d for any star is therefore;

[tex]\displaystyle \underline{ d \ is \ \frac{1 \, AU}{tan(\theta) }}[/tex]

The angle given for θ for the referenced star is θ = 0.00001389

Therefore;

[tex]\displaystyle d = \frac{1 \, AU}{tan(0.00001389^{\circ}) } \approx 4,124,966.13 \, AU[/tex]

Learn more about trigonometric ratio here:

https://brainly.com/question/14421002

https://brainly.com/question/8514165

The point (-1, 5) is reflected over the y-axis. Where is the location of the new image?


(-1, -5)

(5, 1)

(1, 5)

(1, -5)​

Answers

(-1 ,-5) over the y axis

:) Help please..........................

Answers

Answer:

Both are false

Step-by-step explanation:

When you dilate something by a number >1 it gets larger.


Tell whether the ordered pair is a solution to the system.
(-1, -2) 3x + 5y = 3
-9x - 8y = -9
no
yes

Answers

Answer:

no

Step-by-step explanation:

no. substitute -1 for x and -2 for y.

the first one is -1 - 10

this equals -11 not 3

I think it’s a no but but I’m not sure

Solve the system of equations shown below algebraically.
x+y=1
x^2+y^2=61​

Answers

Answer: xy1 = (6,-5) and xy2 = (-5,6), pls give brainliest if this solution helped you

Step-by-step explanation:

Find a quadratic model in standard form for the set of values.
(-2, 18), (0, 4), (4, 24)

Answers

4x^2 + 2x - 4

Hope this helps

if i have decent grades, but miss a lot of school
will they fail me???

Answers

Answer:

I think it's no

Step-by-step explanation:

because you will study hard

A. -78
B. 49
C. 53
D. 14

Answers

Answer: 49

Step-by-step explanation:

Consider the graph of the equation y=(x–9)? – 7. Compared the graph of y=x”, how has the vertex been shifted (left/right and/or up/down) and by how many units?

Answers

Answer:

Shifted to the right by 9 units, and down by 7 units

Step-by-step explanation:

y=x is the origin.

(x-9) shows that the graph has moved 9 units to the right, as what is inside the parentheses indicates the opposite direction

(you can be able to review why this is from online resources or you can ask your teacher)

the -7 shows that the graph moves 7 units down the graph, it's outside the parentheses, so it follows the same direction

let's sum up:

for this situation,

- what is inside the parentheses is the x

- what is outside the parentheses is the y

- the x-values direction shifts opposite from the sign (+/-)

- the y-values direction shifts like the sign (+/-)

So,

the vertex has been shifted to the right by 9 units, and down by 7 units compared to y=x.

PLEASE HELP QUESTION IN PICTURE

Answers

Answer:

y=4x+5

Step-by-step explanation:

A scale of a model has a scale of 1:360.

A. The actual length of the football field including the end zones is 120. how long in inches is the football field in the model?

B How many times the length of the model is the length of the actual stadium

Answers

Answer:

120 yards,360 feet's of length and 53 1/3 yards,160 feet of width

Determine the intercepts of the line.

Answers

Answer:

y intercept= 12

x intercept = 4

Step-by-step explanation:

It is just one interception because the equation is linear

Find f(x) and g(x) so that the function can be described as y = f(g(x)). (5 points) y = (2/x^2) + (9)

Answers

Answer:

f(x) = x+9

g(x) = 2/x^2

Step-by-step explanation:

I just thought at a simple function for f(x). It could have been just f(x) = x and g(x) = 2/x^2 + 9. Nothing would have changed.

answer this for 10 points

Answers

Answer:

1 2 5 and 6

Step-by-step explanation:

1,2,5,6, each are a fraction

Please help me with this problem!

Answers

Answer:

57 degrees

Step-by-step explanation:

It is an isosceles triangle because QP has the same length as OP. So the base angles will be the same.

what is 5.56 s divided by 6.42 S ​

Answers

Answer:

0.86

step by step explain:

first you want to get a calculator and you want to put in 5.56 divide 6.42

Answer:

= 0.866

Step-by-step explanation:

By moving the decimal point two places to the right, you can convert the divisor 6.42 to a whole number. Then, in the dividend, move the decimal point two places to the right.

Then we have the equation: 556 ÷ 642 = 0.866

and therefore: 5.56 ÷ 6.42 = 0.866

both calculated to three decimal places.

Equation:

The actual equation is attached below as an attachment.

Message:

Hope this helps! I am not the best at math, so sorry if I got it wrong.

A leaking tap wastes 3,750 ml of water in 1 hour how much water will be wasted in a day??​

Answers

Answer:

90,000

Step-by-step explanation:

3750ml/hr *24 hrs

Answer:A leaking tap will waste 90000 ml in a day. Step-by-step explanation:3750 ml = 1 hour=> 3750 x 24 = 1 day=> 90000 ml of water = 1 dayConclusion:

Therefore, A leaking tap will waste 90000 ml in a day.

Hoped this helped

[tex]BrainiacUser1357[/tex]

Does the point (7,7) satisfy the equation y =8x?

Answers

Answer:

no

Step-by-step explanation:

y = 8x

Try (7, 7).

Is 7 = 8(7)?

Is 7 = 56?

The answer is no, so the point (7, 7) does not satisfy the equation y = 8x.

What's the y-intercept?

Answers

-9 is the correct answer

Answer:

-9 would be your y-intercept

Step-by-step explanation:

Have a great rest of your day

#Nova

Multiply (x^2+3x+5)(2x^2-2x+1

Answers

Answer:

2x^4+4x^3+5x^2-7x+5

Step-by-step explanation:

please help me, and be nice, don't be a jer.k (you know who you are..)


ty :)

Answers

Answer:

y=-1/2x+3

Step-by-step explanation:

Step-by-step explanation:

Subtract x both sides

2y = 6 + (-x)

Divide by 2 both sides

y = 3 + (-1/2x)

y = -1/2x + 3

Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
7.2b + 6.5 > 4.8b – 8.1.

Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6.
Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.
Which student’s first step was incorrect, and why?

Answers

Answer:

B

Step-by-step explanation:

Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.

Answer:

Luis’s, because he flipped the inequality sign when he subtracted

Step-by-step explanation:

Luis’s, because he flipped the inequality sign when he subtracted

What is the answer to 7-x²

Answers

Answer:

7-1x^2

Step-by-step explanation:

Please help! I need answers

Answers

Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours

Represent the time the Hill family and the Moore family use the sprinkler with H and M.

So, the total time is:

[tex]H + M = 60[/tex]

And the rate is:

[tex]25H + 20M = 1325[/tex]

Make H the subject in [tex]H + M = 60[/tex]

[tex]H= 60 - M[/tex]

Substitute 60 - M for H in [tex]25H + 20M = 1325[/tex]

[tex]25(60 - M) + 20M = 1325[/tex]

Open brackets

[tex]1500 - 25M + 20M = 1325[/tex]

Collect like terms

[tex]- 25M + 20M = 1325 - 1500[/tex]

[tex]- 5M = -175[/tex]

Divide both sides by -5

[tex]M = 35[/tex]

Recall that:

[tex]H= 60 - M[/tex]

So, we have:

[tex]H = 60 - 35[/tex]

[tex]H = 25[/tex]

Hence, Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours

Read more about system of equations at:

https://brainly.com/question/14323743

pls help me with my maths if you can​

Answers

Answer :

A) R- d✖️5= x

B) m/4 - b = x
Ok done. Thank to me :> ✅

Can someone help me on this question? The question is down below...

Answers

Answer:12m

Step-by-step explanation:

Because you are given that this is a right angled triangle, you can apply the pythagoras theorem where a^2 = b^2 + c^2

15^2 = 9^2 + x^2

225-81 = x^2

144 = x^2

x = 12m

the length of a is 12 m

determine if the two triangles are congruent.If they are state how you know

Answers

9. yes, 2 congruent sides

10. no

11. yes, 1 congruent side and angles

12. yes, 1 congruent side and angles

13. yes, 1 congruent side and angles

14. yes, 2 congruent sides

15. yes, congruent sides and angles

16. yes, congruent angles and sides

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