Answer: 25 and 22
Step-by-step explanation:
Since one number is 3 bigger than the other, we can call them x, and x-3.
Then we know that the sum of 3 times x and 2 times (x-3) is equal to 19, so we can make the equation
3x+2(x-3)=19
Simplifying would get you
3x+2x-6=19
adding the x's and adding six to both sides of the equations gets you
5x = 25
divide by 5 and
x=5
Put those numbers back into your previous labels for them, x and x-3, and you get 5 and 2
Hope this helps
Nearest tenth = 8.0
Nearest hundredth = 7.95
Nearest ones = 8
Answer:
1/24
Step-by-step explanation:
1/3 = 8/24
3/8 = 9/24
9/24 - 8/24 = 1/24
Answer:
135 and 315degrees
Step-by-step explanation:
Given the expression
4tan²θ+tanθ=−4tanθ−1
Equate to zero
4tan²θ+tanθ+4tanθ+1 = 0
4tan²θ+5tanθ+1 = 0
Let x = tanθ
4x²+5x+1 = 0
Factorize;
4x²+4x+x+1 = 0
4x(x+1)+1(x+1) = 0
4x+1 = 0 and x+1 = 0
4x = -1 and x = -1
x = -1/4 and -1
Since x = tanθ
-1 =tanθ
θ = arctan(-1)
θ = -45degrees
Since tan is negative in the 2nd and fourth quadrant;
In the second quadrant
θ = 180 - 45 = 135degrees
In the fourth quadrant;
θ = 360 - 45 = 315degrees
Hence the required angles are 135 and 315degrees
