Find the Surface area of each figure to the nearest tenth.

a. 800 square inches

b. 108.8 square inches

Step-by-step explanation:

a. The diagram shows the square pyramid with the square side length of 16 inches, the height of 15 inches and slant height of 17 inches.

The surface area of the square pyramid is

Find the area of the base and of each lateral triangle:

Therefore,

b. The diagram shows the cone with the base radius of 3 inches and height of 8 inches.

The surface area of the cone is

where R is the base radius and l is the slant height.

First, find the slant height using the Pythagorean theorem:

Then, the surface area is

answer: the two figures are congruent.

step-by-step explanation: they're congruent because figure efgh is reflected across the x and y axis but it was also rotated.

hope it !

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3