Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

AStronomy Suppose three moons A,B, and C orbit 100,000 kilometers above the surface of a planet. Suppose m/_ABC=90^(@), and the planet is 20,000 kilometers in diameter. Draw a diagram of the situation. How far is moon A from moon C ? @HomeTutor for problem solving help at classzone.com

2727. AStronomy Suppose three moons A,B A, B , and C C orbit 100100,000000 kilometers above the surface of a planet. Suppose m∠ABC=90∘ m \angle A B C=90^{\circ} , and the planet is 2020,000000 kilometers in diameter. Draw a diagram of the situation. How far is moon A A from moon C C ?\newline@HomeTutor for problem solving help at classzone.com

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 7right chevron icon
Understanding fractions: word problemsright chevron icon

Full solution

Q. 2727. AStronomy Suppose three moons A,B A, B , and C C orbit 100100,000000 kilometers above the surface of a planet. Suppose m∠ABC=90∘ m \angle A B C=90^{\circ} , and the planet is 2020,000000 kilometers in diameter. Draw a diagram of the situation. How far is moon A A from moon C C ?\newline@HomeTutor for problem solving help at classzone.com
  1. Draw Triangle: Draw a right triangle with moons AA and CC at the ends of the hypotenuse and the planet's center at the right angle.
  2. Calculate Orbit Radius: Calculate the radius of the planet's orbit for the moons: 20,000 km20,000 \, \text{km} (diameter of the planet) /2+100,000 km/ 2 + 100,000 \, \text{km} (distance above the surface) =110,000 km.= 110,000 \, \text{km}.
  3. Find Distance AC: Use the Pythagorean theorem to find the distance between moon A and moon C: a2+b2=c2a^2 + b^2 = c^2, where cc is the distance from A to C, and aa and bb are both equal to the radius of the orbit, 110,000110,000 km.
  4. Plug in Values: Plug in the values: 110,0002+110,0002=c2110,000^2 + 110,000^2 = c^2.
  5. Calculate Squares: Calculate the squares: 121,000,000,000+121,000,000,000=c2121,000,000,000 + 121,000,000,000 = c^2.

More problems from Understanding fractions: word problems

Question
Write 26\frac{2}{6} in lowest terms. \newline ‾\underline{\hspace{1em}}/‾\underline{\hspace{1em}}
Get tutor helpright-arrow

Posted 3 months ago

Question
Which fraction is greater? \newlineChoices: \newline(A) 811\frac{8}{11} \newline(B) 711\frac{7}{11}
Get tutor helpright-arrow

Posted 3 months ago

Question
Write 135\frac{13}{5} in mixed fraction.
Get tutor helpright-arrow

Posted 3 months ago

Question
99.882882 divided by 8181
Get tutor helpright-arrow

Posted 3 months ago

Question
Convert the following\newlinea. \newline165.078125(10)165.078125_{(10)} to binary\newlineb. \newline1101101101.10011(2)1101101101.10011_{(2)} to denary.
Get tutor helpright-arrow

Posted 3 months ago

Question
Convert 95 \frac{9}{5} into a mixed number.
Get tutor helpright-arrow

Posted 2 months ago

Question
Convert 145 \frac{14}{5} into a mixed number.
Get tutor helpright-arrow

Posted 2 months ago

Question
Convert 245 \frac{24}{5} into a mixed number.
Get tutor helpright-arrow

Posted 2 months ago

Question
Convert 816 8 \frac{1}{6} into an improper fraction.\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Convert 85 \frac{8}{5} into a mixed number.
Get tutor helpright-arrow

Posted 2 months ago

View all (36)