X=12
First you would combine like terms 7+3=10
Then you would have 10 +5x =70
Subtract 10 from both sides 10-10 & 70-10
That will leave you with 5x=60
Divide 5 from both sides 5x/5 & 60/5
Answer will be x = 12
Answer:
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Step-by-step explanation:
Answer:
Let θ = (45 - A)°.
=> 2Tanθ/ 1 + Tan²θ
=> 2Sinθ/Cosθ / 1 + Sin²θ / Cos²θ
=> 2Sinθ/Cosθ/ Cos²θ + Cos²θ / Cos²θ
=> 2Sinθ/Cosθ/ 1 / Cos²θ
=> 2SinθCos²θ/Cosθ
=> 2SinθCosθ
=> Sin2θ
But we assumed θ = (45 - A)°,
=> Sin2(45 - A)
=> Sin(90 - 2A) (∵ Sin(90 - θ) = Cosθ)
=> Cos2A
= R.H.S
Hence proved.
Step-by-step explanation:
answer:The width of the deck is 22.8 feet.
Step-by-step explanation:
Since we have given that
Area of the deck = 752.4 square feet
Length of deck = 33 feet
Let width of deck be 'x'.
Since Deck is in the shape of rectangle.
As we know the formula for "Area of rectangle ":
\begin{gathered}Area=Length\times width\\\\752.4=33\times x\\\\\dfrac{752.4}{33}=x\\\\22.8=x\end{gathered}
Area=Length×width
752.4=33×x
33
752.4
=x
22.8=x
Hence, the width of the deck is 22.8 feet.
Answer:
62.5.
Step-by-step explanation:
Given:
The expression to simplify is given as:
55 - 4.5 +12
We have to use PEMDAS method in order to simplify this.
P stands for parenthesis, E for exponents, M/D stands for Multiplication or Division and A/S stands for Addition or Subtraction.
P has the highest priority followed by E followed by M or D which ever comes first followed by A or S which ever comes first.
Here, the first operation we encounter is subtraction S.
First, we will subtract 4.5 from 55. So, 55 - 4.5 = 50.5
Next operation is addition A.
Now, we will add the result to 12. So, 50.5 + 12 = 62.5
Therefore, the answer is 62.5.
