The moon is about 240,000 miles from Earth. What is the distance written as a whole number multiplied by a power of ten?
1 answer:
We need to find 240,000 written as a whole number multiplied by a power of ten.
We need to get rid of the four zeros behind 24 in 240,000.
24 would be our whole number.
We would need to multiply 24 by 10,000 to get 240,000.
10,000 is equal to because there are 4 zeros. Ex. when multiplying 200 by 30, we first multiply 2 * 3 then we add 3 zeros to the end of 6. So for 10*10*10*10, we add 4 zeros to the end of 1 which equals 10,000.
So the answer would be 24 ×
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Answer:
See the attached figure which represents the problem.
As shown, AA₁ and BB₁ are the altitudes in acute △ABC.
△AA₁C is a right triangle at A₁
So, Cos x = adjacent/hypotenuse = A₁C/AC ⇒(1)
△BB₁C is a right triangle at B₁
So, Cos x = adjacent/hypotenuse = B₁C/BC ⇒(2)
From (1) and (2)
∴ A₁C/AC = B₁C/BC
using scissors method
∴ A₁C · BC = B₁C · AC
