Geometry
find the surface area of the regular pyramid shown to the nearest whole number.

Step-by-step explanation:

The given solid is a square based pyramid. The formula for determining the volume of a square based pyramid is

Volume of pyramid = 1/3 × A×H

Where

A represents the area of the square.

H represents the height from the base to the apex of the pyramid.

Area of the square base is expressed as length × length

The length of the square base is 5 ft

Area of the square base is 5×5 = 25ft^2

Volume of the is 1/3 × 25× 7 = 58.33

Approximately 58.3 ft^3

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: