You are traveling on a turnpike at a rate of 70 miles per hour.

Mathematics

1 answer:

IceJOKER [234]3 years ago

4 0

Answer:

A) d=70h

B) 245 Miles

Step-by-step explanation:

If h is hours and d is distance, you are traveling 70 miles per hour and d is miles.

Since the equation is d=70h, you substitute the 3.5 for the d:

d=70(3.5)

70 times 3.5 is 245

h=245

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5. To get to the library from his house, Robert biked 6 kilometers due east and then

AURORKA [14]

Answer:

24 kilometers.

Step-by-step explanation:

The shortest path between two points is a straight segment that connects the two points.

Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.

The two shorter segments are the two legs, and
The longer segment that joins the library and the house is the hypotenuse.

The length of the hypotenuse can be found with the Pythagorean Theorem.

$\begin{aligned}\text{Hypotenuse} &= \sqrt{(\text{Leg 1})^{2} + (\text{Leg 2})^{2}}\\&= \sqrt{6^{2} + 8^{2}}\\&= \sqrt{36 + 64} \\&= \sqrt{100}\\&= \rm 10\;km\end{aligned}$ .