Answer:
A.) 1018 square inches
Step-by-step explanation:
The largest sphere will have a diameter equaling the length of the cube (see picture).
If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:
For this formula, we need the radius of the sphere. Divide the diameter by 2:
The radius is 9 inches. Plug this into the equation:
Simplify the equation:
Round the result to the nearest whole number:
→ 
The surface area is 1,018 inches².
:Done
Picture:
In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.
Answer:
The coordinates of the image of point A (2, -7) are A'(-1,-2).
Step-by-step explanation:
Note: The sign is missing between y and 5 in the rule of transitional.
Consider the rule of translation is
We need to find the image of point A (2, -7).
Substitute x=2 and y=-7 in the above rule.
Therefore, the coordinates of the image of point A (2, -7) are A'(-1,-2).
Answer:
∠b=82°
Step-by-step explanation:
143°=∠c+∠b (exterior angle property)
143°=61°+∠b
∠b=143-61
∠b=82°
Answer:
Step-by-step explanation:
This shape is actually just a rectangle with a missing triangle. We can first find the area of the rectangle with 
and subtract the triangle.
Area of missing triangle = 
(b is the base and h is the height)
Base = 
Height = 
Area of missing triangle = 
Area of the figure: 
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Alternatively, you can find the area of each individual shape and add them all up.
Area of the rectangle: 
Area of square: 
Area of triangle: 
Total Area: 
Answer:
i cant figure it out sorry
Step-by-step explanation:
