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2 years ago

Help pls What is the solution to this system of equations? x = 12 − y 2x + 3y = 29

Mathematics

1 answer:

Oxana [17]2 years ago

3 0

Answer:

Step-by-step explanation:

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A conical tank is 8 meters high. The radius of the top is 2 meters. At what rate is the water running out if the depth is 3 mete

lina2011 [118]

Answer:

DV/dt = 0,2355 m³/min

Step-by-step explanation:

Conical tank volume V = 1/3 *π*r²*h

r radius at the top 2 meters

when depth of water is 3 meters the radius of the level of water is:

let α angle of vertex of cone then

tan∠α = 2/8 tan∠α = 1/4 tan∠α = 0,25

At the same time when water is at 3 meters depth radius is

tan∠α = r/3 0,25*3= r r = 0,75 m

Now

DV/dt = (1/3)*π*r²*Dh/dt

Dh/dt = 0,4 meters/min

By substitution

DV/dt = 0,2355 m³/min

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3 years ago

Practice questions for upcoming test

tino4ka555 [31]

If one inch equals 25.4 millimeters, you would have to divide 25.4 by 1/8 which equals to 3.2 (3.175 before rounding). Subtract 3.2 from 25.4 = 22.2 millimeters

7 0

2 years ago

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HELP PLZ I GIVE BRAINLEST FIRST COME FIRST SERVE GOD BLESS YOU

storchak [24]

Answer:

x= $\sqrt{6}$

Step-by-step explanation:

subtarct 2 t the other side

2x^2=12

now divide 2 to 12

x^2= 6

now square root both sides

x= $\sqrt{6}$

thats the answer!

4 0

2 years ago

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a classroom is arranged with 10 seats in the front row 12 seats in the middle row and 18 seats in the back row the teacher rando

myrzilka [38]

Answer:

3/10

Step-by-step explanation:

12/40 = 3/10

8 0

2 years ago

Given: rectangle ABCD is similar to rectangle ZBXY. If ZY = 5, XC = 3, DC = 4, then XY =

soldier1979 [14.2K]

Answer:

The length of XY is either 10 or 2.5.

Step-by-step explanation:

Given information: ZY = 5, XC = 3 and DC = 4.

Case 1: Rectangle ABCD is smaller than ZBXY.

The opposite sides of the rectangle are same.

$ZY=BC+XC$

$5=BC+3$

$2=BC$

The length of ABCD is 4 and width of ABCD is 2. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.

$\frac{4}{XY}=\frac{2}{5}$

$\frac{4\times 5}{2}=XY$

$10=XY$

Therefore the value of XY is 10.

Case 2: Rectangle ABCD is larger than ZBXY.

$ZY=BC-XC$

$5=BC-3$

$8=BC$

The length of ABCD is 4 and width of ABCD is 8. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.

$\frac{4}{XY}=\frac{8}{5}$

$\frac{4\times 5}{8}=XY$

$2.5=XY$

Therefore the value of XY is 2.5.

7 0

3 years ago

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