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igomit [66]
3 years ago
10

The distance that Sarah travels varies directly to how long she drives. She travels 440 miles in 8 hours. Write the equation tha

t relates the distance, d, to the time, t. How many miles can Sarah travel in 6 hours?
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
7 0

Answer:

330

Step-by-step explanation:

If d = distance, t = time, and s = speed, then the relationship between the 3 is s * t = d.

Solve for speed by dividing the distance over the time, s = d/t. Then, plug in the speed which in this case is 55 mph and then multiply by the time of 6 hours.

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3 years ago
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Two angles are supplementary. The larger angle is 33 degrees more than 6 times the smaller angle. Find the measure of each angle
noname [10]

Sum of two angles that are supplementary = 180°

Let the smaller angle be = x

Let \:  the  \: smaller \:  angle \:  be \:  =  \: x

then \: the \: larger \: angle \:  = 6x + 33

<h3>Their sum :</h3>

x + 6x + 33 = 180

7x + 33 = 180

7x = 180 - 33

7x = 147

x =  \frac{147}{7}

x = 21

Using this let us find the measures of the smaller angle and bigger angle .

smaller \: angle \:  = x = 21°

larger \: angle \:  = 6x + 33 = 6 \times 21 + 33 = 126 + 33 = 159°

∴ The measure of the two angles are = 21° and 159° .

3 0
3 years ago
Use the law of sines to find the value of w.
Lunna [17]

Option B: 4.0 cm is the value of w

Explanation:

It is given that \angle W= 39, \angle U=31, VW=3.3 and UV=w

Using the law of sines, we have,

\frac{sin U}{3.3} =\frac{sin W}{w}

Substituting the values, we have,

\frac{\sin 31}{3.3}=\frac{\sin 39}{w}

Cross multiplying, we get,

(sin31) w=3.3( \sin 39)

Simplifying, we have,

0.515w=2.077

Dividing both sides by 0.515, we have,

w=4.0

Thus, the value of w is 4.0 cm

Hence, Option B is the correct answer.

4 0
3 years ago
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