Find the surface area of the figure. Best answer will get the brainiest

Given:

The base of the triangle = 5 mm

The height of the triangle = 7 mm

The height of the prism = 12 mm

The other two sides of the triangle are = 9 mm and 9 mm

To find the surface area of the triangular prism.

Formula

The surface area of the triangular prism is

Where,

b be the base of the triangle

H be the height of the prism

h be the height o the triangle

are the sides of the triangle.

Now,

Putting, b=5, h=7, H=12, we get,

sq mm

or, sq mm

or, sq mm

Hence,

The surface area of the given prism is 311 sq mm.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%