Answer:
33 1/3 lb
Step-by-step explanation:
When the distance between them goes from 8 ft to 12 ft, it is 1.5 times what it was. Then the force will be multiplied by the inverse of the square of this:
(75 lb)×1/(1.5²) = 75/2.25 lb = 33 1/3 lb
At 12 feet apart, the attraction force is 33 1/3 pounds.
Answer:
Keisha =$25
Scott =$19
Ryan = $57
Step-by-step explanation:
Let the amount each have be represented by A, B and C
Keisha = A
Scott = B
Ryan = C
Keisha , Scott and Ryan have a total of $101.
That’s
A + B + C = $101
Keisha has $6 more than Scott
A = 6 + B
Ryan has 3 times Scott
C = 3B
Substitute 6+B for A and 3B for C in the first equation.
That’s
A + B + C = 101
6 + B + B + 3B = 101
6 + 5B = 101
Subtract 6 from both sides
6 - 6 + 5B = 101 - 6
5B = 95
Divide both sides by 5
B = 95/5
B = 19
Scott has $19
Recall Keisha has $6 more than Scott B.
That’s A = 6 + B
A = $6 + $19
A = $25
Keisha has $25
Also, Ryan C has 3 times what Scott B has .
That’s
C = 3 x B
C = 3 x 19
C = $57
Therefore, Keisha has $25, Scott has $19 and Ryan has $57
Given:
The scale factor between two circles is
.
To find:
The ratio of their areas.
Solution:
We know that, all circles are similar.
The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.
The scale factor is the ratio of the corresponding sides.
Ratio of areas of circles = Square of scale factor between two circles



Therefore, the correct option is D.

Euclid's division lemma : Let a and b are two positive integers. There exist unique integers q and r such that
a = bq + r, 0
r < b
Or We can write it as,
Dividend = Divisor × Quotient + Remainder
<u>Work</u><u> </u><u>out</u><u>:</u>
Given integers are 240 and 228. Clearly 240 > 228. Applying Euclid's division lemma to 240 and 228,
⇛ 240 = 228 × 1 + 12
Since, the remainder 12 ≠ 0. So, we apply the division dilemma to the division 228 and remainder 12,
⇛ 228 = 12 × 19 + 0
The remainder at this stage is 0. So, the divider at this stage or the remainder at the previous age i.e 12

<u>━━━━━━━━━━━━━━━━━━━━</u>