Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

write out the three steps of the understand - solve - explain process w…

Question

write out the three steps of the understand - solve - explain process when answering the following question. how fast does earth rotate? note that in one full rotation of earth, a point on the equator travels about 25,000 miles in 24 hours. what is the unknown in this problem? the time the volume the distance the speed what is the speed of the earth? the speed of the earth is explain why the speed of the earth makes sense. choose the correct answer below. a. speed = distance × time = 25,000 miles × 24 hours b. speed = \\(\frac{time}{distance}=\frac{24 hours}{25,000 miles}\\) c. speed = \\(\frac{distance}{time}=\frac{25,000 miles}{24 hours}\\)

Explanation:

Step1: Identify unknown

The problem asks for Earth's rotation speed, so the unknown is speed.

Step2: Recall speed formula

Speed is calculated as $\text{speed}=\frac{\text{distance}}{\text{time}}$. Here, distance is 25000 miles and time is 24 hours.

Step3: Calculate speed

$\text{speed}=\frac{25000\text{ miles}}{24\text{ hours}}\approx1041.67$ miles per hour.

Answer:

The unknown in this problem: The speed
The speed of the Earth is $\frac{25000}{24}\approx1041.67$ miles per hour
Explain why the speed of the Earth makes sense: C. speed = $\frac{\text{distance}}{\text{time}}=\frac{25,000\text{ miles}}{24\text{ hours}}$