1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mixer [17]
3 years ago
7

if a motercycle is moving at a constant speed down the highway of 40 km/hr, how long would it the motorcycle to travel 10 km

Mathematics
1 answer:
ahrayia [7]3 years ago
6 0

Answer:

15 minutes

Step-by-step explanation:

First, the motorcycle goes at a speed of 40 km/hr.

The question asks for how long it would take to travel 10 km.

Well, there are 60 minutes in an hour, since we will be translating into minutes.

Also, 10 km is 1/4 of 40 km, so it would make sense that the time length would be 1/4 of an hour as well.

1/4 of 60 minutes is 15 minutes.  So it takes 15 minutes for the motorcycle to travel 10 km.

Now, if all this wordy stuff is too much to comprehend, you can also solve using proportional relationships.

\frac{40km}{60min}=\frac{10km}{xmin}

Now cross multiply:

40km*xmin=10km*60min\\40x=600

Divide both sides by 40:

\frac{40x}{40}=\frac{600}{40}\\x=15

Again, this shows that it wouls take 15 minutes for the motorcycle to travel 10 km.

You might be interested in
The length of a sticky note measures 77 mm express this length in meters
katen-ka-za [31]
If a sticky note measures 77mm then when converted into meters it is 0.077
8 0
3 years ago
Read 2 more answers
Solve Inequality <br> -14x &gt; -112
den301095 [7]

Answer:

x <8

Step-by-step explanation:

-14x > -112

Divide each side by -14.  Remember that flips the inequality

-14x/-14 < -112/-14

x <8

8 0
3 years ago
Read 2 more answers
An acute angle theta is in a right triangle with cos theta = 5/6. What is the value of sec theta?
pochemuha

Answer:

  • sec=1/cos

Step-by-step explanation:6/5

5 0
3 years ago
A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate
sdas [7]

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

x^2 + 1^2 = y^2

Differentiate w.r.t time (t)

2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}

2x\frac{dx}{dt} = 2y\frac{dy}{dt}

Divide both sides by 2

x\frac{dx}{dt} = y\frac{dy}{dt}

From the question, we have that the plan travels are 510mi/h.

This implies that:

\frac{dx}{dt} = 510mi/h

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

y = 2mi

Apply Pythagoras theorem

x^2 + 1^2 = y^2

x^2 + 1^2 = 2^2

x^2 + 1 = 4

x^2 = 4-1

x^2 = 3

x = \sqrt 3

So, the expression becomes:

x\frac{dx}{dt} = y\frac{dy}{dt}

\sqrt 3 * 510 = 2* \frac{dy}{dt}

\frac{\sqrt 3 * 510}{2} =  \frac{dy}{dt}

\sqrt 3 * 255 =  \frac{dy}{dt}

\frac{dy}{dt} = 255\sqrt 3

\frac{dy}{dt} = 255 * 1.7321

\frac{dy}{dt} = 441.655

\frac{dy}{dt} = 442

<em>Hence, the distance is 442 miles</em>

7 0
3 years ago
Box 1 measures 6cm in width, 12cm in length, and 4cm in height. The height is doubled to 8cm to produce a larger box, Box 2 Whic
arlik [135]

Step-by-step explanation:

i don't know but i think this is it

The height is doubled to 8cm to produce a larger box, Box 2 Which phrase accurately describes the volume of Box 2

6 0
3 years ago
Other questions:
  • If the following object is translated T(-1, 4), where will the translation be located? I have attached the rest of the question
    6·1 answer
  • 1. Factor the poynomial into linear irreducible factors.
    14·1 answer
  • Which linear inequality is represented by the graph?
    10·1 answer
  • What is Pythagoras' Thereom?
    7·2 answers
  • It takes 5 cooks 5 hours to bake 5 pies. Assuming no change of rate, how many
    11·1 answer
  • Help!!! On a piece of paper graph then determine which answer choice matches the graph you drew
    15·1 answer
  • PLEASE HELP DUE TONIGHT
    14·2 answers
  • Write the slope-intercept form of the equation of each line
    15·2 answers
  • Is this a right triangle? Hypotenuse is 15 adjacent is 9 and the opp is 12
    13·1 answer
  • Please help me I will give brainliest to whoever answers
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!