See picture below. Being that you did not provide possible answers, I don't know what answer you can choose from.
They are vertical angles meaning 142 is equal to 3x + 22. Put them equal to each other and solve for x.
Answer:
The length of bottom side of the scaled copy is 12 u
Step-by-step explanation:
To solve this problem we have to know that to calculate the area of a triangle we use the following formula
a = area
b = base
h = height
a = b * h
In the triangle A the base and the height are equal to 3
b = h
Now that we know that b & h we can calculate the base of the scaled copy
72 u² = b * b
72 u² = (b)²
√(72 u²) = b
12 u = b
The length of bottom side of the scaled copy is 12 u
In one revolution of the wheel, a point on the edge travels a distance equal to the circumference of the wheel.
The wheel has radius 1 ft, so its circumference is 2π (1 ft) = 2π ft.
Then the point has a linear speed of
(1/4 rev/s) * (2π ft/rev) = 2π/4 ft/s = π/2 ft/s
Answer:
6 mm and 9 mm are the dimensions of the piece of plastic.
Step-by-step explanation:
Keep in mind the formulas for the area and perimeter of a rectangle:
A = lw
P = 2 (l + w)
List the factors of 54:
1, 2, 3, 6, 9, 18, 27, 54
POSSIBLE DIMENSIONS of the piece of plastic:
1 mm and 54 mm:
Area - 54 mm^2
Perimeter - 110 mm
2 mm and 27 mm
Area - 54 mm^2
Perimeter - 58 mm
3 mm and 18 mm
Area - 54 mm^2
Perimeter - 42 mm
6 mm and 9 mm
Area - 54 mm^2
Perimeter - 30 mm
The rectangular piece of plastic with the dimensions 6mm and 9 mm corresponds with the area and perimeter of the piece of plastic mentioned. So these are the correct dimensions.
Hope this helps!
