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
zloy xaker [14]
3 years ago
6

A car gets 40 km per gallon of gasoline. How many gallons of gasoline would the car need to travel 1240 km

Mathematics
2 answers:
sesenic [268]3 years ago
7 0
1 gallon----------40km
x gallon----------1240km
so,1240/40=31 gallon
klasskru [66]3 years ago
6 0
Do 1,240 divided by 40

= 31 gallons
You might be interested in
Which one is correct ?
Kobotan [32]
A C F are the answers
8 0
3 years ago
XY is a diameter of a circle and Z is a point on the circle such that ZY=6. If the area of the triangle XYZ is 18 square root 3
nataly862011 [7]
<h2>Answer:</h2>

4π

<h2>Step-by-step explanation:</h2>

As shown in the diagram, triangle XYZ is a right triangle. Therefore, its area (A) is given by:

A = \frac{1}{2} x b x h      -------------(i)

Where;

A = 18\sqrt{3}

b = XZ = base of the triangle

h = YZ = height of the triangle = 6

<em>Substitute these values into equation(i) and solve as follows:</em>

18\sqrt{3} =  \frac{1}{2} x b x 6

18\sqrt{3} =  3b

<em>Divide through by 3</em>

6\sqrt{3} =  b

Therefore, b = XZ = 6\sqrt{3}

<em>Now, assume that the circle is centered at O;</em>

Triangle XOZ is isosceles, therefore the following are true;

(i) |OZ| = |OX|

(ii) XZO = ZXO = 30°

(iii) XOZ + XZO + ZXO = 180°   [sum of angles in a triangle]

=>  XOZ + 30° + 30° = 180°

=>  XOZ + 60° = 180°

=>  XOZ = 180° - 60°

=>  XOZ = 120°

Therefore we can calculate the radius |OZ| of the circle using sine rule as follows;

\frac{sin|XOZ|}{XZ} = \frac{sin|ZXO|}{OZ}

\frac{sin120}{6\sqrt{3} } = \frac{sin 30}{OZ}

\frac{\sqrt{3} /2}{6\sqrt{3} } = \frac{1/2}{|OZ|}

\frac{1}{12}  = \frac{1}{2|OZ|}

\frac{1}{6} = \frac{1}{|OZ|}

|OZ| = 6

The radius of the circle is therefore 6.

<em>Now, let's calculate the length of the arc XZ</em>

The length(L) of an arc is given by;

L = θ / 360 x 2 π r          ------------------(ii)

Where;

θ = angle subtended by the arc at the center.

r = radius of the circle.

In our case,

θ = ZOX = 120°

r = |OZ| = 6

Substitute these values into equation (ii) as follows;

L = 120/360 x 2π x 6

L = 4π

Therefore the length of the arc XZ is 4π

5 0
3 years ago
Type the correct answer in the box. Use the information from the image to complete the table then determine the total number of
Vaselesa [24]
I’m sorry I’m kinda confused on what you mean could you better say in the comments and I’ll also answer in there (:
8 0
3 years ago
Read 2 more answers
Graph the line with slope -3 passing through the point (5,0)
Ghella [55]
Y-y1= m(x-x1) point-slope form
y-0= -3(x-5)
solve this point-slope form to slope-intercept form. Use the information to graph the line.
4 0
3 years ago
PLEASE WILL GIVE BRAINLIEST!!
sveta [45]

Answer:

10.5

Step-by-step explanation:

because 10.5x2=21. and 45+13+21=79, 100-79= 21.

7 0
3 years ago
Other questions:
  • If a + b = -6 and x + y + z = -2, what is 8a - 7x - 7z - 7y + 8b
    8·1 answer
  • What is the common mutiple for 1/2 1/4 1/6 1/3 and 1/5
    12·1 answer
  • Plz answer this for me
    15·2 answers
  • Algebra 2 questions
    13·1 answer
  • In the section describing the survey methods, the report states, “For results based on the total sample of national adults, the
    9·1 answer
  • Which ordered pair is on the graph of the function? O (-1,2) O (6,-3) O (-2,-4) O (-6, 4)​
    11·1 answer
  • Can someone help? Solve for x
    9·1 answer
  • Salma, joe, and alan sent a total of 106 text messages during the weekend, salma sent 9 fewer messages than alan. Joe sent 3 tim
    10·1 answer
  • <img src="https://tex.z-dn.net/?f=%20tan%20%5Calpha%20%20%5Ctimes%20sin%20%5Calpha%20%20%3D%20" id="TexFormula1" title=" tan \al
    9·1 answer
  • What is the value of x in the equation 3/4(1/4x + 8) - (1/2x+2) = 3/8(4-x)-1/4x ?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!