Answer:
11 gallons of gas is needed to travel 231 miles.
Step-by-step explanation:
We can set up a proportion for this problem.
<em>For every 62 miles, you use 3 gallons of gas. </em>

Now, let's cross multiply.
≈ 
So, you will need about 11 gallons of gas to travel 231 miles.
I guess the error is in the calculus.
-1/4 divided by 3/2:
(-1/4)/(3/2): When dividing 2 fractions, its answer is equal to the first fraction multiplied by the inverse of the second.
(-1/4)/(3/2) = -1/4 * 2/3 = -2/12
So -1/4 divided by 3/2 is different from -4/1 multiplied by 3/2.
-1/4 divided by 3/2 = -1/4 multiplied by 2/3.
Hope this Helps! :)
Answer:
We can write sin 21° as 1200 / x and also 0.36 so we can write:
1200 / x = 0.36
1200 = 0.36x
x = 1200 / 0.36
x ≈ 3333 ft
Answer:
x ≈ 37.53
Step-by-step explanation:
To find the value of x, we will follow the steps below:
first, we need to find angle z
z+47° +90° = 180° (sum of interior angle of a triangle)
z + 137° = 180°
subtract 137° from both-side of the equation
Z + 137°-137° = 180° - 137°
Z=43°
angle Z = 43°
We can now use the sine rule to find the value of x
Using the sine rule

where Z and X are angles and z and x are side length
from the diagram given,
X = 47° and we find Z to be 43°
side z = 35
we can now proceed to substitute the values into the formula
= 
cross-multiply
x sin 43° = 35 sin 47°
divide both-side of the equation by sin 43°
x sin 43° /sin 43°= 35 sin 47° /sin 43°
x ≈ 37.53 to two decimal place