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Charra [1.4K]
3 years ago
14

Ed is on a road trip. He has already traveled 211 miles and is driving at a rate of 63 miles per hour. Which equation could be u

sed to find how many hours, x, Ed has left in his road trip if he is traveling 638 total miles? A. 211x + 638 = 63 B. 211x + 63 = 638 C. 63x + 211 = 638 D. 63x + 638 = 211
Mathematics
1 answer:
Marina86 [1]3 years ago
6 0

Answer:

Option C is correct.

Step-by-step explanation:

Distance already traveled by Ed =211 miles

Also, Ed is driving at a rate of 63 miles per hour.

Distance = Speed × Time

Distance traveled by Ed in x hours =63x

Total distance traveled by Ed =211+63x

Also, total distance traveled by Ed is 638 miles.

Therefore,

638=211+63x

Option C is correct.

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In triangle abc, a is a right angle, and ab = 16√3, and the measure of b=30 degrees. What is the length of ac.
salantis [7]

Answer:

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Step-by-step explanation:

Given;

A is right angle, = 90⁰

B is 30⁰

ab = 16√3

              C

              ↓

               ↑

               A   →      ←  B

If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.

The length of ac is calculated as follows;

tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16

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