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
vodka [1.7K]
3 years ago
5

The international cricket team is going to stadium to play the T20 cricket game. A coordinate grid is superimposed on a highway

map of the city. The team hotel is at point (3, 4) and the stadium is at point (7, 1). The map shows a rest stop halfway between the hotel and the stadium. What are the coordinates of the rest stop? What is the approximate distance between the hotel and the stadium? (One unit is approximately equal to 6.4 miles.)
Mathematics
1 answer:
marysya [2.9K]3 years ago
3 0

Answer:

The coordinate of the rest stop is: (5,2.5)

The distance between the hotel and the stadium is 32 miles

Step-by-step explanation:

Given

(x_1,y_1) = (3,4) --- Team hotel

(x_2,y_2) = (7,1) --- Stadium

Solving (a): The coordinates of the rest stop

The rest stop is at half way;

So, the coordinate is:

(x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)

This gives:

(x,y) = \frac{1}{2}(3+7,4+1)

(x,y) = \frac{1}{2}(10,5)

Open bracket

(x,y) = (5,2.5)

Solving (b): Distance between the hotel and the stadium

We have:

(x_1,y_1) = (3,4) --- Team hotel

(x_2,y_2) = (7,1) --- Stadium

The distance (d) is:

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

So, we have:

d = \sqrt{(3 - 7)^2 + (4 - 1)^2}

d = \sqrt{(-4)^2 + 3^2}

d = \sqrt{16 + 9}

d = \sqrt{25}

d =5

From the question, we have:

1\ unit = 6.4\ miles

So:

d =5 * 6.4\ miles

d =32\ miles

You might be interested in
PLEASE HELP!! I’ll give brainlest or whatever it’s called
Nataly_w [17]

Answer: y is 23 and x is 139 so x + y = 162

Step-by-step explanation:

(23-x)+(2x+18)=180

41+x=180

x=180-41

x=139

8 0
2 years ago
Find the area of a square with the sides 24feet ,27ft.18feet and 30feet
34kurt
Well, this question isn't really fair, considering that those sides aren't possible to make a square since a square has 4 congruent sides.
5 0
3 years ago
Elbert made 48% of the shots he took during the basketball game. If he attempted 25 shots, how many times did he score?
raketka [301]
Hi there! So Elbert made 48% of his shots. To find out how many shots he made, all you have to do is multiply the amount of shots he attempted by the percentage. 25 * 48% is 12. There. Elbert scored 12 baskets.
3 0
3 years ago
Find the recursive formula 32, 232, 432, 632.....
ss7ja [257]
Looks alot like the previous term +200
6 0
3 years ago
A particle moves along a straight line. The distance of the particle from the origin at time t is modeled by the equation below.
laiz [17]

Answer:

The value of t that will satisfy the equation is π/6 (which is 30 degrees)

Step-by-step explanation:

The function that models the movement of the particle is given as;

S(t) = 2 sin(t) + 3 cos (t)

Now we want to the value of t between 0 and pi/2 that satisfies the equation;

s(t) = (2+ 3√3)/2 = 1 + 3√3/2

What we do here is simply find that value of t that would ensure that;

2sin(t) + 3cos(t) = 1 + 3√3/2

Without any need for rigorous calculations, this value of t can be gotten by inspection.

From our regular trigonometry, we know that the sin of angle 30 is 1/2 and its cos value is √3/2

We can make a substitution for it in this equation.

We obtain the following;

2 sin(30) + 3cos (30) and that is exactly equal to 1 + 3√3/2

Do not forget however that we have a range. And the range in question is between 0 and π/2

Kindly that π/2 in degrees is 90 degrees

So our range of values here is between 0 and 90 degrees.

So to follow the notation in the question, the value within the range that will satisfy the equation is π/6

4 0
3 years ago
Other questions:
  • A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.
    15·2 answers
  • Kurtis is expecting a promotion which, hopefully, comes with a raise. He would like his raise to help him correct a high debt-to
    8·1 answer
  • Which of these equations best describes the line of best fit for the data in the scatter plot relating time and distance?
    8·1 answer
  • What is the common denominator of 3 4 and 5 8
    15·1 answer
  • Find the difference of -12.7 - (-5.6)<br><br> 17.13<br> -7.13<br> -8.4
    12·1 answer
  • What is the y-intercept ordered pair of this table?
    7·2 answers
  • Determine the length of the longest piece of timber which could be stored in a rectangular shed 6cm by 5cm by 2m high​
    14·2 answers
  • Mr.Wedmore works at a car dealership and earns a monthly salary of $2,000. He also earns 25% commission on the gross profit of t
    8·1 answer
  • Wilma is 5 times as old as yvonne. in ten years, yvonne's age will be a third of wilma's age. how old are they now?
    6·1 answer
  • The planner needs a clearance of 9 feet under the arch has the planner met the minimum
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!