Pleasr me asap! you^-^ if w = 10 units, x = 5 units, and y = 6 units, what is the surface area of the figure? round your answer to the nearest tenth.
look at picture
a: 656.2 units²
b: 400 units²
c: 256.2 units²
d: 456.2 units²

D:456.2 units²

Step-by-step explanation:

Step 1: Area of all 4 sides of cuboid

Area of rectangle = 4 x length x breadth

Area of rectangle = 4 x 10 x 5

Area of rectangle = 200

Step 2: Calculate bottom of cuboid

Area = length x breadth

Area = 10 x 10

Area = 100

Step 3: Calculate slant height of pyramid

c² = a² + b²

c² is hypotenuse

a² is the base which is half of w (10/2 = 5)

b² is y which is 6

c² = a² + b²

c² = 5² + 6²

c = √61

Step 4: Calculate area of one face of the pyramid

Area of triangle = 1/2 x base x height

Area of triangle = 1/2 x 10 x √61

Area of triangle = 5√61

Step 5: Calculate areas of all 4 faces of the pyramid

4 x 5√61 = 20√61

Step 6: Calculate the total surface area

Total surface area = 200 + 100 + 20√61

Total surface area = 456.2

The surface area of the figure is 456.2 units²

Option D is correct.

!!

D: 456.2

Step-by-step explanation:

took the test and got it right!

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is