Answer:
I have given the answer in the chat box as i was not able to post officialy
Step-by-step explanation:
Answer: D
Step-by-step explanation: an irrational number cannot be written as the quotient of of two integers, it will produce a decimal number that probably goes on forever in a calculator
Answer:
x = 1, y = -1
Step-by-step explanation:
If we have the two equations:
and 
, we can look at which variable will be easiest to eliminate.
looks like it might be easy to get rid of, we just have to multiply by 2 and y is gone (as -6y + 6y = 0).
So let's multiply the equation by 2.
Now we can add these equations
------------------------
Dividing both sides by 5, we get 
.
Now we can substitute x into an equation to find y.
Hope this helped!
Answer:
Step-by-step explanation:
Given
sinΘ = 
= 
Then the hypotenuse = 5 and one leg of the right triangle is 3
Using Pythagoras' identity to find the second leg (x)
x² + 3² = 5²
x² + 9 = 25 ( subtract 9 from both sides )
x² = 16 ⇒ x = 4
cosΘ = 
=
Answer:
Step-by-step explanation:
We first have to write an expression for each of the types of coins in terms of one of them. If he has 8 more dimes than nickels, let's call nickels "x". That means that dimes is "x + 8". The value of a nickel is .05, so the expression relating the number of nickels to the worth of the nickel is .05x. The value of a dime is .10, so the expression relating the number of dimes to the worth of the dime is .10(x + 8). The total value of these coins is 1.70:
.05x + .10(x + 8) = 1.70 and
.05x + .10x + .8 = 1.70 and
.15x = .9 so
x = 6
That means we have 6 nickels and 14 dimes.
