Answer:
Option F is correct, i.e. "rotating 90° counterclockwise around point C."
Step-by-step explanation:
Given is the regular octagon PQRSTVWZ with its center at point C.
To map octagon PQRSTVWZ onto itself, we must provide such a transformation that should not change the size or coordinates of the vertices.
We can not use Translations, Reflections, and Dilations because they will change size and coordinates.
We can use only Rotations and that should be about the center C of the regular shape.
About center point C, and rotations of 90° does not change the orientation of the regular octagon, Both images would overlap each other.
Hence, option F is correct, i.e. "rotating 90° counterclockwise around point C."
The ratio here would be 4 to 18, in which 4 represents the number of
black covers sold and 18 represents the total of covers sold.
Line CE
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To work out the volume of a prism, you multiply the area of cross-section by the height (or length).
So for a cylinder, you work out the area of the circle and then multiply it by the height.
Area of circle (or cross-section) = π × radius²
= π × 0.7²
= 0.49π m²
Now to get the volume of the cylinder, you times this area of the cross-section by the height of the cylinder:
Volume = 0.49π × 1.5
= 2.3 m³ (accurate to 2 decimal places)
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Answer:
The maximum volume of rainwater the cylinder can hold is:
<u> </u><u>2.3 </u><u>m³</u>
Answer:
Direct labor cost= $1,500,000
Step-by-step explanation:
Giving the following information:
Production:
September 50,000
Each sneaker requires 2 hours of direct labor time.
Direct labor wages average $15 per hour.
<u>First, we need to calculate the number of direct labor hours required:</u>
Direct labor hours= 50,000*2= 100,000 hours
<u></u>
<u>Now, the direct labor cost:</u>
Direct labor cost= 100,000*15= $1,500,000