Answer:
Length of diagonal of picture = 15.30 inches
Step-by-step explanation:
Given that:
Side lengths of picture frame = 12 inches by 9.5 inches
As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.
Using Pythagorean theorem;
a²+b²=c²
Putting the values in the theorem

Taking square root on both sides

Hence,
Length of diagonal of picture = 15.30 inches
Answer:
3x+4
Step-by-step explanation:
f(g(x))=3(x+2)-2
=3x+6-2
=3x+4
The formula in solving the length of an arc is shown below:
Length of an Arc = 2pi*r (central angle/360°)
Central angle = 54pi * (180°/pi)
r = 34 cm
Solving for an arc length"
Arc length = 2*3.14*34((54*180)/360)
Arc length = 5,765.04 cm
The answer is 5,765.04 cm.
Answer:
35 ft^2
Step-by-step explanation:
Area of the first rectangle
A = 8 x 2 = 16 ft^2
area of the second rectangle
A = 5 x 2 = 10 ft^2
area of the square
A = 3^2 = 9 ft^2
total area
A = 16 + 10 + 9 = 35 ft^2