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2 years ago

Find the volume of the prism.

Mathematics

1 answer:

irga5000 [103]2 years ago

4 0

Its fairly simple, B*L*H. So 3 x 4 x 5 and you get 60 m^3

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Find the mass of the triangle with vertices (1; 0; 0), (0; 2; 0), (0; 1; 1) if the density function is given by (x; y; z)

Luda [366]

Answer:

$=\frac{17}{3}$

Step-by-step explanation:

Density of a function is $\rho(x,y)=x^{2} +y^{2}$

I have drawn the right angle triangle for visualization

equation for the line passing through (1,0) and (0,4) is

$\frac{y}{4} =\frac{x-1}{-1}$

$y=4-4x$

= $\int_{0}^1\int_{0}^{4-4x} (x^{2}+y^{2})dydx$

= $\int_{0}^{1}(x^{2}+\frac{y^{3} }{3})dx$

= $\int_{0}^{1}(x^{2}(4-4x)+\frac{1}{3}(4-4x)^{3} )dx$

= $\int_{0}^{1}(\frac{-76}{3}x^{3} +68x^{2}-64x^{}+\frac{64}{3} )dx$

= $=(\frac{-76}{3} \frac{x^{4} }{4})+\frac{68}{3}x^{3}-32x^{2}+\frac{64}{3}x^{})$

$=\frac{17}{3}$

3 0

3 years ago

X = 8 9 10<br> Plzzz helpppo

Novosadov [1.4K]

The answer should be 9

7 0

2 years ago

mrs smith baked 40 turnovers. Her son ate 1/8 of the turnovers and her husband ate 1/7 of what was left. How many were left afte

snow_tiger [21]

The answer is 30 because 1/8 of 40 is 5 so 40-5 = 35 and 1/7 of 35 is 5 so 35-5 = 30

4 0

3 years ago

Read 2 more answers

5x + 3 = 7x – 1. Find x

nasty-shy [4]

Answer:

x = 2

Step-by-step explanation:

5x + 3 = 7x - 1

Subtract 3 to both sides

5x = 7x - 4

Subtract 7x to both sides

-2x = -4

Divide by -2 to both sides.

x = 2

Hope this helps and pls do mark me brainliest if you can:)

5 0

3 years ago

Find an equation of the line parallel to y=2x+3 and that passes through the point (5,3)

timama [110]

Answer:

y = 2x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 3 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes , then

y = 2x + c ← is the partial equation

To find c substitute (5, 3 ) into the partial equation

3 = 10 + c ⇒ c = 3 - 10 = - 7

y = 2x - 7 ← equation of parallel line

5 0

2 years ago

Read 2 more answers