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Ghella [55]
3 years ago
10

A swimming pool holds 900 cubic meters of water. If its length is 20 meters and its height is 3 meters, find its width

Mathematics
2 answers:
Virty [35]3 years ago
6 0
Volume \ of \ a \  Cuboid: \\ \\ V=9000 m^3 \\the \ length : \  l=20 \ m \\ the \ height: \ h=3 m \\ the \  width : \ w= ?  \\ \\V= l\cdot w \cdot h \\ \\900 =20 \cdot w \cdot 3 \\ \\900=60w \ \ / :60\\ \\ w=15 \ m \\\\Answer : \ A \ swimming \ holds \ 15 \  meters\  the \ width .

rusak2 [61]3 years ago
5 0
V=900m³

V=L*w*h

V=20*3*w
V=60*w

60*w=900

w=900/60
w=15m
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Step-by-step explanation:

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Tangent is equal to \frac{sin(theta)}{cos(theta)}, we already solved theta which was 135°

This next part is hard to explain to someone who doesnt know their trig circle, idk if you do. The angle 135 is apart of the pi/4 gang. So we know this is going to be some variant of √2/2. Sine of quadrant 1 and 2 is gonna be positive:

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Answer:

a) 4x -y = 2; (1/2, 0), (0, -2)

b) 3x +y = 5; (5/3, 0), (0, 5)

c) 5x -y = -3; (-3/5, 0), (0, 3)

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e) 8x +y = -12; (-3/2, 0), (0, -12)

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The form you have is ...

y = -Ax +C . . . . . where B = 1

You can simply rearrange the coefficients to get the form you want.

For (a), you can identify -A = 4, so A = -4, and C = -2. In the desired form, the equation is then ...

-4x +y = -2

"Standard form" requires the leading coefficient be positive, so you now need to multiply the entire equation by -1:

4x -y = 2

I suspect either of the above answers will satisfy your grader, but I like the latter form better. So, the answers below have the equation multiplied by -1 when A is negative to start with.

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b) A=3, C=5, x-intercept = C/A = 5/3, y-intercept = C = 5. Equation in standard form is 3x+y=5

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c) A=-5, C=3, x-intercept = C/A = 3/-5 = -5/3, y-intercept = C = 3. Equation in standard form is 5x -y = -3

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