Use PEMDAS to figure out the order of operations:
Parentheses
Exponents
Multiplication/
Division
Addition/
Subtraction
Solve (-4 + -6) first, as this is in parentheses:
Solve 5.3 * -10 next, as this is multiplication:
Now we can solve the equation:
The answer is 63.
u - v = <5, 2> - <2, - 3> = <5 - 2, 2 + 3> = <3, 5>
given a vector <u, v> then the magnitude is √ (u² + v² ) and it's angle of direction is
θ = 
(
)
thus the magnitude of <3, 5> = √(3² + 5²) = √34 ≈ 5.83 ( to 2 dec. places )
Θ = (
) = 59.04° ( to 2 dec. places )
Answer:
Step-by-step explanation:
1)
total area = rectangle area + 2 triangle area
= length * width = 2 ( 
* base * height )
= 7.5 * 6 + 2 ( * 3 * 4 )
= 57 ft²
2)
separate it into two rectangles:
length * width + length * width
6 * 2 + 9 * 4
48 cm²
3)
parallelogram area = base * height
= 20 * 25
= 500 in²
Answer:
4.3 km
Step-by-step explanation:
The law of cosines can be used to find the desired distance. If we call the lighthouse position point L, then we have ...
CH² = LC² +LH² -2·LC·LH·cos(L)
CH² = 2² +2.5² -2·2·2.5·cos(143°) = 10.25 -10cos(143°) ≈ 18.2364
CH ≈ √18.2364 ≈ 4.27 . . . . km
The distance CH is about 4.3 km.
