1. 15(10 - 2)....distribute....150 - 30 = 120
2. (24 + 18) + (12 + 6).....commutative....(24 + 6) + (12 + 18) = 30 + 30 = 60
3. 5 * 13 * 2.....commutative.....5 * 2 * 13 = 10 * 13 = 130
4. 94 + 17 + 53 + 6....commutative...94 + 6 + 17 + 53 = 100 + 70 = 170
5. 25(14) ...distribute..25 * 10 + 25 * 4 = 250 + 100 = 350
6. 25 * (4 * 17)...associative....(25 * 4) * 17 = 100 * 17 = 1700
Step-by-step explanation:
DEFINITION: Besting: the clockwise totation (0° to 360°) from North to any line.
A) Calculate the bearings of D from A:
bearings of D from A =x
looking the picture:
x=48°+55°+180°
x+103°+180°
x=283°
B)Calculate the bearings of A from C:
bearings of A from C =y
180°+55°=y
y=235°
C) Calculate the distance between A and B:
The angle in B is 74° (Because 55°+51°+74°=180°)
Using the Law of sines:
D)Calculate the distance between D and C:
Using the Law of cossines:
E) A Helicopter is hovering at A at a height of 2.5Km, find angle of elevation of helicopter from C:
The triangle HBA is rectangle
α=7,49°
That is not correct, In a quotient or any type of equation numbers are considered rational number when they have repeating values, for this we will use {x} for example when comparing repeating values.
So if we have {a} + {b} from a equation prior to obtaining these values then we will take {a} + {b} and add {c} we will end up with {a} + {b} + {c}. We are using addition for an example.
{c} would only be a rational if it as well had repeating {x} values
{x}=Repeating value
Answer:
14.93°
Step-by-step explanation:
Using trigonometry :
From the diagram attached :
Angle of elevation = x
To obtain the value of x
Tan x = opposite / Adjacent
Tan x = 8 / 30
Tan x = 0.266666
x = tan^-1(0.26666)
x = 14.93°
Therefore, the angle of elevation is 14.93°
Answer:
Each t-shirt cost 13 dollars.
Step-by-step explanation:
Since the jacket was 20 bucks, we can set that aside:
85-20=65
Now that we've set that aside, there are five t-shirts. If they all cost the same, that means we can divide!
65/5=13
How to check?
Use inverse operations: 13*5=65
Re-add the 20 bucks from the jacket, and the bill is complete again! Use inverse operations: 13*5=65
Each shirt costs $13.
