Answer:
-4
Step-by-step explanation:
Answer:
B. 33
Step-by-step explanation:
The side opposite the 45° angle has measure 11√6×sin(45°). The side opposite the 60° angle has measure tan(60°) times that, so we have ...
x = 11√6×sin(45°)×tan(60°) = 11√6×(√2/2)×√3 = 11×(√6)²/2
x = 33
_____
The mnemonic SOH CAH TOA can be a useful reminder of the definitions of the trig functions. It tells you ...
Sin = Opposite/Hypotenuse
Tan = Opposite/Adjacent
Using these relations, we can find the sides of interest:
Opposite = Hypotenuse × Sin . . . . for the 45° triangle
Opposite = Adjacent × Tan . . . . . . for the 60° triangle
where the side opposite the 45° angle is the side adjacent to the 60° angle.
Answer:
(16 - 8 × 2 ÷ 4 + 6) ÷ 3 = 6
Step-by-step explanation:
The given expression is (16 - 8 × 2 ÷ 4 + 6) ÷ 3
We will solve this expression by using BODMAS rule,
B - Bracket (Parenthesis)
O - Order (exponents)
D - Division
M - Multiplication
A - Addition
S - Subtraction
(16 -
× 2 ÷ 4 + 6) ÷ 3
We will solve the expression inside the parenthesis first followed up by the exponents,
(16 -
× 2 ÷ 4 + 6)
= (16 - 8 × 2 ÷ 4 + 6)
Then Divide,
= (16 - 8 ×
+ 6)
Then multiply,
= (16 - 4 + 6)
Further addition,
= (22 - 4 )
At last subtract,
= (18)
Now put the solution of the parentheses in the expression,
= (18) ÷ 3
= 6
Therefore, solution of the given expression will be 6.
50 tens would be 50 x 10 = 500