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3 years ago

I NEED HELP ON NUMBER 8 PLSSSS

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

3 0

Answer:

17 inches

Step-by-step explanation:

for this equation, we know the length and the width of the water and the volume. we can use this information to solve for the height of the water.

V = 2244 cubic inches

l = 12 in

w = 11 in

V = l * w * h

2244 = 12 * 11 * h

2244 = 132h

17 = h

the height of the water is 17 inches.

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2a + 4b + c =5 x =-2 a - 4b = -6 y=1

cricket20 [7]

There is no solution ,a+c=-10;b-c=15;a-2b+c=-5 No solution System of Linear Equations entered : [1] 2a+c=-10 [2] b-c=15 [3] a-2b+c=-5 Equations Simplified or Rearranged : [1] 2a + c = -10 [2] - c + b = 15 [3] a + c - 2b = -5 Solve by Substitution :

// Solve equation [3] for the variable c

[3] c = -a + 2b - 5

// Plug this in for variable c in equation [1]

[1] 2a + (-a +2?-5) = -10 [1] a = -5

// Plug this in for variable c in equation [2]

[2] - (-? +2b-5) + b = 15 [2] - b = 10

// Solve equation [2] for the variable ?

[2] ? = b + 10

// Plug this in for variable ? in equation [1]

[1] (? +10) = -5 [1] 0 = -15 => NO solution No solution

3 0

3 years ago

How many whole cubecan be cut from a cuboid measuring 33 cm by 29 CM by 18 cm

xz_007 [3.2K]

Volume = length x width x height
Volume = 33 x 29 x 18
= 17,226
Number of whole cubes formed by the defined volume = 17,226/3
= 5742 cubes

7 0

3 years ago

URGENT! (Grades close tomorrow and turning this in will boost my grade from a B to an A in College Algebra. I can't figure these

zvonat [6]

Answer:

24. see below for a drawing with axis intercepts labeled

30. the plane is parallel to the y-z plane. It is "x=4". The only axis intercept is (4, 0, 0).

Step-by-step explanation:

24. The axis intercepts are fairly easily found. You can do it a couple of ways.

first way

Set other variables to zero and divide by the coefficient of the variable of interest.

For 3x +5y +15z = 15, the x-intercept can be found by setting y and z to zero. This gives ...

3x = 15

so, dividing by 3 tells you the x-intercept is ...

x = 15/3 = 5

Likewise, the y- and z-intercepts are, respectively, ...

y = 15/5 = 3

z = 15/15 = 1

So, the points where the plane crosses the axes are ...

(5, 0, 0), (0, 3, 0), (0, 0, 1) . . . . axes intercepts

second way

Divide by the constant on the right, and express all coefficients as denominators

Doing that gives ...

$\dfrac{3x+5y+15z}{15}=1\\\\\dfrac{x}{5}+\dfrac{y}{3}+\dfrac{z}{1}=1$

The denominators are the corresponding intercepts. (This is called the "intercept form" of the equation of the plane.)

From the above equation, we see the axis intercepts are ...

(5, 0, 0), (0, 3, 0), (0, 0, 1) . . . . same as above

Actually, the math for these two methods is virtually identical. The second way does it "all at once", so can take fewer steps. Effectively, you're doing the math of the "first way" and expressing the result in the denominator.

Please note that when a variable is missing, there is no intercept for that axis. That is, the plane is parallel to that axis. (In problem 30, for example, the y- and z-variables are missing. The plane x=4 is parallel to the y- and z-axes (the y-z plane).)

_____

In the first attached drawing, the x-axis is red, the y-axis is green, and the z-axis is blue. The labeling of the points is difficult to see, but the axes are a different (lighter) color behind the plane than in front of it. This plane forms a triangle in the first octant (x, y, z > 0).

In the second attached drawing, the x=0 plane is blue; the y=0 plane is green, and the z=0 plane is red. The plane of the equation is yellow. This figure better shows the triangle in the first octant.

3-D graph paper (isometric graph paper) grids are available with a web search. Such might make it easier to draw the planes you need to draw. (See the third attachment for one example.)