3 years ago

Find the volume of the oblique prism

1 answer:

8 0

Volume = 12 * area of triangular base

area of triangle = 1/2 base * height = 3 * height
height = sqrt(5^2 - 3^2) = 4

area of triangle = 4*3 = 12

Vol of prism = 12*12 = 144 cubic units

You might be interested in

What are your guys favorite marsupials?

IgorC [24]

Answer:

koalas

Step - by - step explanation:

because they're so cute and cuddly

3 0

2 years ago

What are the values of the trigonometric ratios for this triangle?

nika2105 [10]

Answer:

sin = o/h = 5/13

cos = a/h = 12/13

tan = o/a = 5/12

o - opposite

a- adjacent

h - hypotenuse

6 0

2 years ago

Convert the radian measure to degree measure. Use the value of pi found on a calculator, and round answers to two

tankabanditka [31]

Answer:

If -pi/3, the answer would be -1.05. If positive pi, then it's 1.05.

3 0

3 years ago

Determine whether or not the vector field is conservative. if it is, find a function f such that f = ∇f. if the vector field is

amm1812

$\dfrac{\partial f}{\partial x}=3y^2z^3\implies f(x,y,z)=3xy^2z^3+g(y,z)$

$\dfrac{\partial f}{\partial y}=6xyz^3+\dfrac{\partial g}{\partial y}=6xyz^3$
$\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)$

$\dfrac{\partial f}{\partial z}=9xy^2z^2+\dfrac{\mathrm dh}{\mathrm dz}=9xy^2z^2$
$\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C$

$\implies f(x,y,z)=3xy^2z^3+C$

The potential function exists, so $\mathbf f$ is indeed conservative.

7 0

3 years ago

What integer would represent "32 degrees below zero"?

Alja [10]

Answer:

-32

Step-by-step explanation:

Please give me branliest!

7 0

3 years ago