answer.
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
Minchanka [31]
2 years ago
5

Anil completes the 72km journey between Bristol and Cardiff in 48 minutes.

Mathematics
2 answers:
eimsori [14]2 years ago
5 0

total distance travelled=72+69=141

time taken in hours for journey= (48/60)h + (69/60)= 1.95 h

average speed=141km/1.95h= 72.3km/h (3 sf)

Talja [164]2 years ago
3 0

think about the journey as two parts and the total journey.

<u>first</u><u> </u><u>part</u><u>:</u>

first you need to find the speed of the first part but you need to convert 48mins to hours which is 0.8 hours.

speed = 72 ÷ 0.8 = 90km/h.

<u>second</u><u> </u><u>part</u><u>:</u>

then you need to find the time it took to complete the second part of the journey.

time = distance/speed = 69 ÷ 60 = 1.15hours

<u>total</u><u>:</u>

then you can find the total distance for both parts of the journey by doing <em>7</em><em>2</em><em>km</em><em> </em><em>+</em><em> </em><em>6</em><em>9</em><em>k</em><em>m</em><em> </em>which is 141km.

the total time would be <em>0</em><em>.</em><em>8</em><em> </em><em>h</em><em>o</em><em>u</em><em>r</em><em>s</em><em> </em><em>+</em><em> </em><em>1</em><em>.</em><em>1</em><em>5</em><em> </em><em>h</em><em>o</em><em>u</em><em>r</em><em>s</em><em> </em>which is 1.95 hours.

now you have the total distance and time so you can find the average speed for the whole journey.

speed = distance ÷ time

= 141 ÷ 1.95

= 72.307692307.... km/h

<em>(</em><em>y</em><em>o</em><em>u</em><em> </em><em>c</em><em>a</em><em>n</em><em> </em><em>r</em><em>o</em><em>u</em><em>n</em><em>d</em><em> </em><em>y</em><em>o</em><em>u</em><em>r</em><em> </em><em>a</em><em>n</em><em>s</em><em>w</em><em>e</em><em>r</em><em> </em><em>t</em><em>o</em><em> </em><em>7</em><em>2</em><em>.</em><em>3</em><em>k</em><em>m</em><em>/</em><em>h</em><em>)</em>

You might be interested in
Perry surveyed 60 students at her school and found that 0.45 of the students she surveyed said their favorite class is math. Ano
BabaBlast [244]
the answer is 27 students
4 0
2 years ago
Find the missing value for the exponential function represented by the table below x -2 -1 0 1 2 y 29 20.3 14.21 6.9629
andre [41]

Answer:

y=4.8710 is the missing value

Step-by-step explanation:

The first step in approaching this question is determining the exponential equation that models the set of data. This can easily be done in Ms.Excel application. We first enter the data into any two adjacent columns of an excel workbook. The next step is to highlight the data, click on the insert tab and select the x,y scatter-plot feature. This creates a  scatter-plot for the data.

The next step is to click the Add chart element feature and insert an exponential trend line to the scatter plot ensuring the display equation on chart is checked.

The exponential regression equation for the data set is given as;

y=12.321e^{-0.464x}

To find the missing y value, we simply substitute x with 2 in the regression equation obtained;

y=12.321e^{-0.464(2)}\\\\y=4.8710

5 0
2 years ago
LK is tangent to circle J at point K. Circle J is shown. Line segment J K is a radius. Line segment K L is a tangent that inters
Evgen [1.6K]

Answer:

(B)r=\dfrac{85}{12}

Step-by-step explanation:

Given a circle centre J

Let the radius of the circle =r

LK is tangent to circle J at point K

From the diagram attached

  • LX=6
  • Radius, XJ=JK=r
  • LK=11

Theorem: The angle between a tangent and a radius is 90 degrees.

By the theorem above, Triangle JLK forms a right triangle with LJ as the hypotenuse.

Using Pythagoras Theorem:

(6+r)^2=r^2+11^2\\(6+r)(6+r)=r^2+121\\36+6r+6r+r^2=r^2+121\\12r=121-36\\12r=85\\r=\dfrac{85}{12}

The length of the radius, r=\dfrac{85}{12}

8 0
2 years ago
Read 2 more answers
A farmer has 13 cows. a bolt of lightning kills all but 5 of them. how many cows survived?
jeyben [28]
<span>Given that a farmer has 13 cows if a bolt of lightning kills all but 5 of them, this means that the bolt of lightning killed all the cows except 5.

Therefore, the number of cows that survived is 5 cows.
</span>
8 0
2 years ago
Which data display shows the number of observations? Check all that apply.
Leno4ka [110]

Answer: A,C,E

Step-by-step explanation:

I took the test and got it right

6 0
2 years ago
Read 2 more answers
Other questions:
  • Which of the following are possible explicit formulas for the nth term of the constant velocity sequence below? Check all that a
    5·1 answer
  • sally and mabel had the same number of cards at first. after sally sold 18 of her cards, mabel had four times as many cards as s
    14·1 answer
  • chris purchased a used car for 19,700. the car dereciates exponentially by 10% per year.how much will the car be worthafter 6 ye
    15·1 answer
  • The maclaurin series expansion for sin(x) is: sin(x)=x−x33!+x55!−x77!+x99!−.... starting with simplest version sin(x)=x, add ter
    13·1 answer
  • 3. Which of the following is definitely greater than (-56897)? I) (-56897) + (-17) II) (-56897) × 17 III) (-56897) - (-17)
    7·1 answer
  • A thin sheet of ice is in the form of a circle. If the ice is melting in such a way that the area of the sheet is decreasing at
    10·2 answers
  • Two armadillos and three aardvarks sat in a five-seat row at the Animal Auditorium. What is the probability that the two animals
    6·1 answer
  • A car is traveling on Michigan Street towards Ward Street. The car planes to turn right into Ward Street. what is the angle meas
    11·1 answer
  • A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 13.5
    13·1 answer
  • At the Last Chance Filling Station, gas costs $1.60 a gallon. Trevor paid $32.00 to fill his tank. How many gallons of gas did h
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!