Tan(a/2) = sin a / (1 + cos a)
tan(45/2) = sin(45) / (1 + cos(45)) = (1/√2) / (1 + 1/√2) = (1/√2) / (√2 + 1)/√2 = 1/(√2 + 1) = (√2 - 1)
Answer: the final mass of the solid is 176 grams.
Step-by-step explanation:
The "change" between two quantities, one initial Qi and one final Qf is defined as:
Change = Qf - Qi.
In this case, the quantity is mass, and we know that the initial mass is 260 grams.
And we also know that the change is -84 grams.
Then we have the equation:
Qf - 260 g = -84g
Qf = -84g + 260g = 176g
So the final mass of the solid is 176 grams.
Answer:
D. y-5 = 3(x+1)
Step-by-step explanation:
Slope of the perpendicular line is 3.
Slope intercept form is,
y-5 = 3 (x-(-1))
y-5 = 3(x+1)
Answer:
3 is -3, 4 is 3
Step-by-step explanation:
In slope intercept form (y = mx+b)
m is the slope
b is the y-intercept
y = mx+b
y = -1(x) + 3
b = 3
Now, since we know that 5.9 is the amount of miles per day, we need to determine how many miles per month.
Usually, there are 20 days...because of no weekdays
Multiply.
5.9 * 20 = 118
Final answer:- He runs 118 miles per month.