Select the letter of the correct answer
1 answer:
Answer:
The estimate value of the world's radius is 6384 kilometers ⇒ A
Step-by-step explanation:
The formula of the circumference of a circle is C = 2πr, where r is the radius of the circle
∵ The circumference of the world is 24,901 miles
∵ C = 2πr
- Substitute C by 24,901 to find r
∴ 24,901 = 2πr
- Divide both sides by 2π
∴ = r
∴ The radius is 3965.127389 miles
Change the mile to kilometer
∵ 1 mile = 1.60934 kilometers
- Multiply the value of the radius by 1.60934
∴ r = 3965.127389 × 1.60934
∴ r = 6381.238111 kilometers
- Round it to the nearest kilometers
∴ r = 6381 kilometers
The world's radius is 6381 kilometers
The nearest choice for this value is A
The estimate value of the world's radius is 6384 kilometers
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<span>foci on x-axis-------> is a ellipse with horizontal major axis
the equation is
(x</span>²/a²)+(y²/b²)=1
major axis is th<span>e </span>x<span>-axis with length </span><span>2<span>a
2a=14--------> a=7
</span></span>minor axis is the y<span>-axis with length </span><span>2<span>b
2b=4-----> b=2
the equation is
</span></span>(x²/a²)+(y²/b²)=1------> (x²/7²)+(y²/2²)=1-----> (x²/49)+(y²/4)=1
the answer is
(x²/49)+(y²/4)=1
see the attached figure