Answer:
17.5%
Step-by-step explanation:
take 25% x 1/2..............
where are the numbers am not seeing them
The square root of 24 simplifys to:
√24
2√6
Since √6 is inbetween √4 and √9, it is somewhere in between 2 and 3. Really, the best option is to use a calculator.√24 is approximately 4.9. <span />
Answer: 31 : 9
Step-by-step explanation:
Assume the following:
Alice's amount = P
Bob's amount = Q
Amount received = n
If Alice receives $n$ dollars from Bob ;then she will have $4$ times as much money as Bob.
P + n = 4(Q - n)
P + n = 4Q - 4n
P = 4Q - 4n - n
P = 4Q - 5n - - - - (1)
If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob
P - n = 3(Q + n)
P - n = 3Q + 3n
P = 3Q + 3n + n
P = 3Q + 4n - - - - - - (2)
Equating both equations - (1) and (2)
4Q - 5n = 3Q + 4n
4Q - 3Q = 4n + 5n
Q = 9n
Express P in terms of n, use either equation (1) or (2)
From equation 2:
P = 3Q + 4n
Substituting Q = 9n
P = 3(9n) + 4n
P = 27n + 4n
P = 31n
Alice's amount = P, Bob's = Q
Ratio = P:Q
31 : 9
Answer:
BC ≈ 8.9 units
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos36° =
=
=
( multiply both sides by 11 )
11 × cos36° = BC , then
BC ≈ 8.9 ( to the nearest tenth )