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Lina20 [59]
3 years ago
14

Find two positive numbers such that the ratio of the two numbers is 7 to 3 and the product of the two numbers is 525.

Mathematics
1 answer:
lbvjy [14]3 years ago
7 0

Answer:

35 and 15

Step-by-step explanation:

Process of elimination:

Try 105 and 5 - 105 is way too much and 5 is way too little. We know that they are between 5 and 105.

Try 50 and 10.5 - This is closer, but 50 is still too much and 10.5 is too little. We now know that the two numbers are between 10.5 and 50

Try 30 and 17.5 - This is very close, but now 30 is not enough and 17.5 is too much. We now know that the smaller number is between 10.5 and 17.5 as well as the larger number is between 30 and 50.

Try 40 and 13.125 - This is also very close, but 40 is too much and 13.125 is too little. We now know that the lower number is between 13.125 and 17.5 as well as the larger number is between 30 and 40.

Try 35 and 15 - Success: 35 and 5 make the simplified ratio of 7:3! They also are products of 525!

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I have no clue how to do this!!!
lara31 [8.8K]
Step One
Find z
All triangles have 180 degrees. No exceptions.
z + 47 + 90 = 180      combine like terms on the left.
z + 137 = 180            subtract 137 from both sides
z =  180 - 137        
z = 43 degrees.

Step Two
Use the sine function to find y
Sin(43) = opposite side / hypotenuse
opposite side = 35 

sin(43) = 35 / hypotenuse
hypotenuse = 35 / sin(43)
y = 35/0.6820
y = 51.32 

Solve using cos(x)
Note this problem could have been done in a shorter way.
Cos(47) = adjacent / hypotenuse.
hypotenuse = adjacent / cos(47)
y = 35 / cos(47)
y = 35 / 0.6820
y = 51.32 Both answers agree. It is a good thing to know how to do this question both ways.
5 0
3 years ago
Subtract the quotient of 18 and 2 from the sum of 22 and 9. A. 22 B. 4 C. 23 D. 5
frez [133]
Okay, so this is simple. It just needs steps.

Quotient of 18 and 2 = 9.
Sum of 22 and 9 = 31. 

31 - 9 = 22. 
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3 years ago
. If you saved $2.00 on january 1, $4.00 on february 1, $8.00 on march 1, $16.00 on april 1, and so on. how much money would you
SIZIF [17.4K]
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3 years ago
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