Answer:
Surface area of the given prism = 63 square feet
Step-by-step explanation:
Surface area of the given triangular prism = Area of two triangular bases + Area of three vertical rectangles
Area of triangular bases = 2[] (Since the bases of this prism are right triangles)
= 3 × 3
= 9 square ft
Area of one vertical rectangular face = (Length × Width)
= (3 × 6)
= 18 square feet
Area of all vertical sides = 3 × 18 = 54 square feet
Total surface area = 9 + 54 = 63 square feet
Answer:
The correct answer is -9.73°.
Step-by-step explanation:
The procedure is:
sin(x + 34)°=cos(2x+20)°
⇒ tan = 1 ; [assuming cos (2x+20)°
0]
⇒ x + 34 = 45 × ( 2x +20)
⇒ x + 34 = 90x + 900
⇒ 89x = -866
⇒ x = -9.73
and also 2x + 20 = 90° ⇒ x = 35°; but this does not satisfy the given equation.
Therefore the value of x is given by -9.73°.