X = small van capacity, y = larger van capacity
y = x + 6
2x + y = 57
now we sub in x + 6 for y
2x + x + 6 = 57
3x + 6 = 57
3x = 57 - 6
3x = 51
x = 51/3
x = 17
y = x + 6
y = 17 + 6
y = 23
small van (x) has 17 seats and large van (y) has 23 seats
9 sheets of paper I believe
Have a good day :)
Answer:
The length of x in #1 is 15.57
Step-by-step explanation:
Let's use #1 as an example to teach show you how to do this. In a right triangle we can solve these using trig. In this particular one, we have the measure adjacent to the angle and we are looking for the one opposite of the angle. So we look at all the trig functions and select the one that uses both of those two terms.
Sinα = Opp/Hyp
Tanα = Opp/Adj
Cosα = Adj/Hyp
As you can see, Tan is the function we are looking for. So we plug in all known information into that equation.
Tanα = Opp/Adj -----> Plug in known values
Tan(60) = x/9 ----->Calculate out the trig function
1.73 = x/9 -----> Multiply by the denominator to solve
15.57 = x
Answer:
Option D is correct.
Step-by-step explanation:
We need to find the pattern in the values as the exponents increase.
First value is 1/3
if we multiply 3 with 1/3 i.e. 1/3*3 we get 1
The next value is 1 in the table.
Now, if we multiply 1 with 3 i.e. 1*3 we get 3
The next value is 3 in the table.
Now, if we multiply 3 with 3 i.e 3*3 we get 9
So, the next value is 9 in the table.
So, if we multiply 3 with the previous value we get the next value in the table.
Hence Option D multiply the previous value by 3 is correct.
