The product of any number and its reciprocal is ' 1 '.
Call the number ' Q '.
Whatever the number is, its reciprocal is 1/Q .
Their product is
( Q ) x ( 1/Q ) = ( Q/Q ) = 1
Answer:
1
Step-by-step explanation:
Since tan(x) = sin(x)/cos(x), if sin(x) = cos(x) then tan(x) must be 1.
You can even reason that the acute angle is 45° and sin(x)=cos(x) = 
.
(Y-Y1)/(X-X1)
(-9-(-29))/(7-15)
20/-8
-2 1/2
The slope is -2 1/2
Answer:
18
Step-by-step explanation:
as you see the smaller model is the same shape if you put the small model the same way the big one is you see the small model has a one where the big one has a nine so you times everything by nine because nine times one is 9 so you do that and see that the two is where the x is and times the 2 by nine and thats your answer
9514 1404 393
Answer:
- 100 mL of 75% solution
- 150 mL of pure alcohol
Step-by-step explanation:
Let x represent the quantity (in mL) of pure alcohol needed for the mix. Then the amount of 75% needed is (250-x). The amount of alcohol in the mixture is ...
1.00x +0.75(250 -x) = 0.90(250)
0.25x +187.5 = 225 . . simplify
0.25x = 37.5 . . . . . . . . subtract 187.5
x = 150 . . . . . . . . . . . . . divide by 0.25
(250 -x) = 100 . . . . mL of 75% solution
You need 100 mL of the 75% solution and 150 mL of pure alcohol to obtain the desired mixture.
