Answer:
The sin-1 is cancelling out the angle it has ordered.
Sin 45 = 1/ √ 2
This is why we can also check Cos 1/ √ 2 and Tan 1
Step-by-step explanation:
Answer:
y = 2
Step-by-step explanation:
If someone gives you an function that says f(x) = x + 2, that is the same thing as saying y = x + 2. The f(x) part is just to represent that it is a function of x.
Answer:
One solution
Step-by-step explanation:
5x + y = 8
15x + 15y = 14
Lets solve using substitution, first we need to turn "5x + = 8" into "y = mx + b" or slope - intercept form
So we solve for "y" in the equation "5x + y = 8"
5x + y = 8
Step 1: Subtract 5x from both sides.
5x + y − 5x = 8 − 5x
Step 2: 5x subtracted by 5x cancel out and "8 - 5x" are flipped
y = −5x + 8
Now we can solve using substitution:
We substitute "-5x + 8" into the equation "15x + 15y = 14" for y
So it would look like this:
15x + 15(-5x + 8) = 14
Now we just solve for x
15x + (15)(−5x) + (15)(8) = 14(Distribute)
15x − 75x + 120 = 14
(15x − 75x) + (120) = 14(Combine Like Terms)
−60x + 120 = 14
Step 2: Subtract 120 from both sides.
−60x + 120 − 120 = 14 − 120
−60x = −106
Divide both sides by -60

Simplify

Now that we know the value of x, we can solve for y in any of the equations, but let's use the equation "y = −5x + 8"





















So there is only one solution to the equation.
2)
2*120 + 2*3.14*40 = 240 + 251.2 = 491.2;
Assuming the 4 girls and 2 boys are all children, the ratio of boys to toal children is 2 to 6. This can simplify to 1 to 3.
Final answer: 1 to 3