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Andrews [41]
3 years ago
12

Federica used 13.4 gallons of gasoline to drive 448.9 miles. what was the average number og miles she drove per gallon of gasoli

ne?
Mathematics
2 answers:
OLEGan [10]3 years ago
8 0
Federica's mileage was
   (448.9 mi)/(13.4 gal) = 33.5 mi/gal
Vika [28.1K]3 years ago
5 0

We have been given that Federica used 13.4 gallons of gasoline to drive 448.9 miles and we have to find out average number of miles she drove per gallon of gasoline.

In order to find out average number of miles Federica drove per gallon of gasoline we will divide total number of miles she drove by the total number of gallons of gasoline she used in driving total number of miles.

\frac{448.9}{13.4} miles/gallon

After simplifying our expression we will get

\frac{448.9}{13.4}=\frac{67}{2}=33.5 miles/gallon

Therefore, the average number of miles that  Federica drove per gallon of gasoline is 33.5 miles per gallon.

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While visiting Wallawulla State​ Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa
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Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x  - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135   - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

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