Use formulas to find the lateral area and surface area of the given prism. round your answer to the nearest whole number.
a. 755 m2; 815 m2
b. 755 m2; 785 m2
c. 725 m2; 815 m2
d. 725 m2; 785 m2

The lateral surface area is 755 sq.m. and total surface area is 785 sq.m.

Step-by-step explanation:

Let a, b, and c be the sides of the base and h be the height of the prism.

a = 5 m

b=6 m

c=11.21 m

h = 34 m

Lateral surface area of triangular prism =

                                                                 =

                                                                 =755.14 sq.m.

Total surface are of triangular prism = Lateral surface area + area of 2 triangles

                                                         =

                                                         =

                                                         =

Thus the lateral surface area is 755 sq.m. and total surface area is 785 sq.m.

Option B is correct.

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.