Answer:
- a = 1.11
- B = 105.4°
- c = 2.95
Step-by-step explanation:
B = 180 -A -C = 105.4 . . . . sum of angles in a triangle is 180°
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The missing side lengths can be found from the Law of Sines:
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) = 2.46·sin(21.2°)/sin(53.4°) ≈ 1.11
Likewise, ...
b = c·sin(B)/sin(C) = 2.46·sin(105.4°)/sin(53.4°) ≈ 2.95
Answer:
x > -1
Step-by-step explanation:
Isolate the variable, x. Treat the > sign like an equal sign, what you do to one side, you do to the other.
Subtract 5 from both sides:
x + 5 (-5) > 4 (-5)
x > 4 - 5
x > -1
x > -1 is your answer.
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Answer:
3(7 + 4)2 − 24 ÷ 6 = 62
Step-by-step explanation:
3(7 + 4)2 − 24 ÷ 6 is the given expression.
Now, by the rule of BODMAS, where B = Bracket, O= of, D = divide,
M = multiplication, A = addition and S = subtraction
we try and solve the following expression in the same order.
Solving the bracket first, we get
3<u>(7 + 4)</u>2 − 24 ÷ 6 = 3(<u>11</u>)2 − 24 ÷ 6 =<u> 66</u> − 24 ÷ 6
Next, we solve divide,
66 − <u>24 ÷ 6</u> = 66 - <u>4</u>
Next, solving the subtraction, 66 - 4 = 62
Hence, 3(7 + 4)2 − 24 ÷ 6 = 62
