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
pav-90 [236]
3 years ago
14

PLEASE HELP! 11 pts.

Mathematics
2 answers:
solniwko [45]3 years ago
7 0
Hey user!!!

first, we will find the distance between airport and origin then we will double it and we'll get the distance between airport and warehouse.

by Pythagoras theorem :-

let base be = 42 ( as given on abscissa )

and perpendicular be = 56 ( as given on ordinate )

hypotenuse is the distance between the airport and the origin.

therefore h² = 42² + 56²

=> h² = 1764 + 3136

=> h² = 4900

=> h = √4900

=> h = 70

hence, distance between airport and warehouse = 70 × 2 = 140 miles

now, it's given that the factory is 112 miles away from the warehouse in North.

hence, total distance travelled by the truck = 140 + 112

= 252 miles

correct option is 252 miles.

cheers!!!

Xelga [282]3 years ago
7 0

The factory is 112 miles North of the warehouse. North and South is the Y axis.

The warehouse is located at Y -56, add 112 to that and Y = positive 56, so the factory is located at Y = 56.

Using the distance formula we can find the distance between the warehouse and the airport:

Distance = SQRT( (x2-x1)^2 + (Y2-y1)^2)

Ware house X = 42, Y = -56

Airport X = -42, Y = 56

Distance = SQRT (( -42 - 42)^2 + (56 - -56)^2) = 140 miles

The factory is on X 42, Y 56, which is the same Y value as the airport, so the distance between the airport and the factory is the change in X

-42 to 0 = 42 and 0 to 42 = 42, 42+ 42 = 84 miles.

Total distance = 140 + 84 = 224 miles.

You might be interested in
Solve for x <br>40 = x/ -4/7<br> ​
Lena [83]

Answer:

40 =  \frac{x}{ -  \frac{4}{7} }  \\ 40 \times ( -  \frac{4}{7} ) = x \\ x =  -  \frac{160}{7}

3 0
2 years ago
Unit rate feet per second 180 miles over 2 hours
Tatiana [17]
So that is equal to 180 miles per 2 hours which is 90 miles per hour if each hour has the same m/hr rate.
You can set up a proportion:
let x = number of miles per hour
\frac{x}{180} = \frac{1}{2}
cross multiply and you get
2x=180
divide both sides by 2 and you get
x=90
so you get the same answer both ways,
90 miles per hour
5 0
3 years ago
If 0 = 6n -36 what is the value of n -5
juin [17]
0=6n- 36

6n-36

6 x-5-36

35-36

n=-1 
 I hope this help

8 0
3 years ago
The length of a screwdriver is 19 centimeters. The handle is 5 centimeters long. What is the length of the top of the screwdrive
ira [324]
19 minus five is 14. 
5 0
3 years ago
Read 2 more answers
Which function grows the fastest for large values of x? f(x)=8x f(x)=3x f(x)=4x2+3 f(x)=1.5x 20 points
Aleonysh [2.5K]
The 4 functions are:
f_1 (x) = 8x
f_2(x)=3x
f_3(x)=4x^2+3
f_4(x)=1.5 x

Let's keep in mind that for large values of x, a quadratic function grows faster than a linear function:
ax^2 \ \textgreater \  kx for large values of x

In this problem, we can see that the only quadratic function is f_3(x), while all the others are linear functions, so the function that grows faster for large values of x is
f_3(x) = 4x^2 +3
7 0
3 years ago
Other questions:
  • What 76 rounded to the nearest 10
    9·2 answers
  • At the Tesla factory, a machine tests 1 out of every 75 windshields produced for quality. The machine requires a safety inspecti
    8·1 answer
  • Which measurement is equivalent to 6500 grams A 0.65 kg B 6.5 kg C 65 kg D 650 kg
    10·1 answer
  • In triangle FEG pointH is between points E and F Point J is between points F and G and HJ is parallel to EG EH equals 14 HF equa
    15·1 answer
  • Is 1/19 a rational number?
    9·2 answers
  • I’ll give brainliest if correct!
    14·1 answer
  • PLS I NEED HELP ASAP!!!!
    5·1 answer
  • You are responsible to provide tennis balls for a tournament. You know that a ball bounces like new when it is dropped and it bo
    9·1 answer
  • Write the inequality that the graph represents. ​
    9·1 answer
  • What is the radius of a hemisphere with a volume of 281,250 2.14 cm^3
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!