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VashaNatasha [74]

3 years ago

14

A point is selected at random inside the given figure.

2 answers:

lana [24]3 years ago

8 0

First we need the area of the whole shape (A=l*w)
A:A=7*5 or 35 (7 because you add 3 and 4)
B:A=3*4 or 12
C:A=4*4 or 16
D:A=3*9 or 27 (9 because you add 5 and 4)

So the whole area is 35+12+16+27 = 90

Then we do the part divided by the whole to find probability
=27/90 which can be simplified to 3/10

Hope this helps

ANEK [815]3 years ago

5 0

Answer:

Your anwer should be 7/18

Step-by-step explanation:

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Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (2, 0, −2) to (5, 4, 2) (a) Find a fun

WITCHER [35]

Answer:

Required solution (a) $f(x,y,z)=xyz+3z^2+C$ (b) 40.

Step-by-step explanation:

Given,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k$

(a) Let,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k=f_x \uvec{i} +f_y \uvex{j}+f_z\uvec{k}$

Then,

$f_x=yz,f_y=xz,f_z=xy+6z$

Integrating $f_x$ we get,

$f(x,y,z)=xyz+g(y,z)$

Differentiate this with respect to y we get,

$f_y=xz+g'(y,z)$

compairinfg with $f_y=xz$ of the given function we get,

$g'(y,z)=0\implies g(y,z)=0+h(z)\implies g(y,z)=h(z)$

Then,

$f(x,y,z)=xyz+h(z)$

Again differentiate with respect to z we get,

$f_z=xy+h'(z)=xy+6z$

on compairing we get,

$h'(z)=6z\implies h(z)=3z^2+C$ (By integrating h'(z)) where C is integration constant. Hence,

$f(x,y,z)=xyz+3z^2+C$

(b) Next, to find the itegration,

$\int_C \vec{F}.dr=\int_C \nabla f. d\vec{r}=f(5,4,2)-f(2,0,-2)=(52+C)-(12+C)=40$

3 0

3 years ago

A triangular prism is shown in the diagram.

qaws [65]

Answer:

246 cm^3

Step-by-step explanation:

See attached image.

8 0

2 years ago

2x-1-(-x+3) = 6-2x SHOW STEPS....DUE TODAY

sveta [45]

Answer:

x=2

Step-by-step explanation:

Simplify both sides of the equation.

2x−1−(−x + 3)=6−2x

(Distribute the Negative Sign)

2x−1 + −1(−x + 3)=6−2x

2x + −1 + −1(−x) + (−1)(3)=6−2x

2x + −1 + x + −3=6−2x

2x + −1 + x + −3=6 + −2x

(Combine Like Terms)

(2x + x) + (−1 + −3)=−2x+6

3x + −4=−2x + 6

3x−4=−2x + 6

Add 2x to both sides.

3x−4 + 2x=−2x + 6 + 2x

5x−4=6

Add 4 to both sides.

5x−4 + 4=6 + 4

5x=10

Divide both sides by 5.

5x/5=10/5

x=2

5 0

2 years ago

Dx+hy=j,forx x= thanx for any and all help

Crazy boy [7]

$dx+hy=j \\ \\ dx = j-hy \ \ / : \ d \\ \\d\neq 0\\ \\x=\frac{j-hy }{d}$

6 0

3 years ago

Read 2 more answers

Find the area of the shape

MAVERICK [17]

Answer:

A=42.5

Step-by-step explanation:

First you split this shape into a square and a triangle.

The area of the square is 5✖️5=25.

Then, there is a triangle left.

We do not know about the hypotenuse, but the sides are 5 and 7.

5✖️7=35/2<-- because it is a triangle. =17.5

You add both areas, and you get the total of 42.5.

Hope this helps!

3 0

3 years ago