If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyramid on top of a square prism. The sides of the square pyramid are equal to the sides of the square prism, the length and width of the square prism is w, the height of the square prism is x, and the height of the square pyramid, which forms a right angle with the center, is y. 1008 units2 720 units2 624 units2 384 units2

The correct option is;

720 unit²

Step-by-step explanation:

The given dimension of square pyramid is given as follows;

The length and width of the square prism = w = 12 units

The height of the square prism = x = 7 units

The base width of the pyramid = w = 12 units

The formula of the area of the square prism = 2 × w² + w × x × 4

∴ The area of the square prism = 2 × 12² + 12 × 7 × 4 = 624 unit²

The area of the square pyramid = w² + 1/2×4×w ×√((w/2)² + y²)

The area of the square pyramid = 12² + 1/2×4×12×√((12/2)² + 8²) = 12² +240 unit²

The formula for the surface area of the figure = The slant surface area of the square prism  + The area of the base of the square prism + The slant surface area of the square pyramid

The surface area of the figure = 12² + 12 × 7 × 4 + 1/2×4×12×√((12/2)² + 8²) = 720 unit²

The surface area of the figure = 720 unit².

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.