What is the volume of the triangular prism? Round to the nearest tenth. 12 in.
10.4 in
19 in.
12 in
ОООО
118.6 in.
748.8 in.
1,085.6 in.
1,185.6 in.

1,185.6 in.

Step-by-step explanation:

volume of the triangular prism = base area x height

the base in the shape of a triangle

area of a triangle = 1/2 x base x height

1/2 x 12 x 10.4 = 62.4 in²

volume = 62.4 x 19 = 1185.6 in

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.