Answer:

Step-by-step explanation:
Given 
Let 
Interchange x and y

Solve for y, by first squaring both sides


Hence

The last choice is correct
Answer:

Step-by-step explanation:
Per cent means ' out of a hundred' , thus
45% =
← divide ( cancel) both 45 and 100 by 5
45% =
← in simplest form
Answer:
A) 2 cups
Step-by-step explanation:
For every 1 batch you need 1/3 so when you multiply the number of batches by 6 you need to do the same for the cups of raisins.
1/3 x 6 = 1/3 x 6/1 = 6/3 = 2
Answer:
Choice B. sin(B)=cos(90-B)
Step-by-step explanation:
That cofunction identity is the one you looking for...choice B.
If you aren't convinced or don't know that identity, then maybe this will help:
90-B is actually the same thing as saying A for this right triangle since A+B=90.
So choice B basically says sin(B)=cos(A)
Well let's find both sin(B) and cos(A)
sin(B)=b/c
cos(A)=b/c
Those are the same ratios!
So they are equal!
For this case we can make the following rule of three:
9 1/2 m --------------> 28 1/2 rupees
26 1/3 m -------------> x
From here, we clear the value of x.
We have then:
Rewriting we have:
Answer:
samruth should pay 79 rupees to the shopkeeper