<span>tan(15) =
sin(15) / cos(15) =
sin(45 - 30) / cos(45 - 30) =
[ sin(45)cos(30) - sin(30)cos(45) ] / [ cos(45)cos(30) + sin(45)sin(30)]
Since sin(45) = cos(45) = √2/2, you can just factor that out from the top and bottom
[ cos(30) - sin(30) ] / [ cos(30) + sin(30)]
[ √3/2 - 1/2 ] / [ √3/2 + 1/2]
(√3 - 1) / (√3 + 1)
(√3 - 1)^2 / (√3+1)(√3 - 1)
(√3 - 1)^2 / (3 - 1)
(3 - 2√3 +1) / 2
2 - √3
There's also a formula for tan(a-b), but I couldn't remember it off hand.</span>
When rounding, look to the next place to the right of what you are rounding to... for example if you are rounding to the nearest hundredth, look to the thousandths place to see if the hundredths place rounds up or down. Since your number, 615.44 stops on the hundredths place, the thousandths place is automatically zero, so your number stays the same.
615.44
530(1+.144/12)(.06) = 32.18 so even that is less than 35
So the answer is 31.80
Answer:
B
Step-by-step explanation:
17.3&
Answer:
The value of x = 1.5
Step-by-step explanation:
Given:
-1.2(3 – x) = -1.8
To Find:
x = ?
Solution:
Distributive property:
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
For example A(B + C) = A×B + A×C
Here we have,
-1.2(3 – x) = -1.8
Applying Distributive property we get ,
-1.2×3 -1.2×-x = -1.8
∴ -3.6 +1.2x = -1.8
∴ 
∴ x = 1.5
