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umka2103 [35]
1 year ago
11

A fish tank, filled with water, is 100cm long,60cm wide and 40cm high. It is tilted resting on a 60cm edge, with the water level

reaching C, the midpoint of AB. Find the depth of water in the fish tank once AB is returned to a horizontal position.

Mathematics
1 answer:
grin007 [14]1 year ago
7 0
20 cm deep since 50 x 60 x 40 = 10 x 60 x 20
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How many 2/5 cup servings are in 9/5 cups of ice cream
Aneli [31]

Answer:

5/2

Step-by-step explanation:

5/2 because 2/5 times 4 is 8/2 plus 1/2 is 9/2

3 0
2 years ago
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The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is .
Readme [11.4K]

Answer:

(-21,-19)

\sqrt{849}

Standard form

Step-by-step explanation:

We are given the equation of circle

x^2+y^2+42x+38y-47=0

General equation of circle:

x^2+y^2+2gx+2fy+c=0

Centre: (-g,-f)

Radius: \sqrt{g^2+f^2-c}

Compare the equation to find f, g and c from the equation

g\rightarrow 21

f\rightarrow 19

c\rightarrow -47

Centre: (-21,-19)

Radius (r) =\sqrt{21^2+19^2+47}=\sqrt{849}

Standard form of circle:

(x+21)^2+(y+19)^2=849

The centre of circle at the point (-21,-19) and its radius is \sqrt{849}.

The general form of the equation of a circle that has the same radius as the above circle is standard form.

4 0
2 years ago
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Alaina’s sugar cookie recipe calls for 21 4 cups of flour per batch. If she wants to make 2 3 a batch of cookies, how much flour
Over [174]

"Alaina’s sugar cookie recipe calls for 2 1/4

cups of flour per batch. If she wants to make 2/3

a batch of cookies, how much flour should she use?"

1 1/2 Cups, if she wants to make less than the original recipe, she would need less flour, you have to divide.

8 0
1 year ago
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If f(1) = 0 what are all the roots of the function f(x)=x^3+3x^2-x-3 use the remainder theorem.
ArbitrLikvidat [17]

Solution:

As we are given that f(1) = 0 .

It mean that (x-1) is one of the factor of the given equation.

Remainder theorem can be applied as below:

\frac{(x^3+3x^2-x-3)}{(x-1)}=\frac{x^3-x^2+4x^2-4x+3x-3}{(x-1)}\\ \\\frac{x^3-x^2+4x^2-4x+3x-3}{(x-1)}=\frac{x^2(x-1)+4x(x-1)+3(x-1)}{(x-1)} \\\\\frac{x^2(x-1)+4x(x-1)+3(x-1)}{(x-1)}=\frac{(x^2+4x+3)(x-1)}{(x-1)}  \\\\\frac{(x^2+4x+3)(x-1)}{(x-1)} =\frac{(x^2+3x+x+3)(x-1)}{(x-1)}  \\\\\frac{(x^2+3x+x+3)(x-1)}{(x-1)}  =\frac{(x-1)(x+3)(x+1)}{(x-1)}

Hence the factors are (x-1),(x+3) and (x+1).

Hence the correct option is B.

5 0
2 years ago
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Sinister Stan stole 3 3/4oz of slime from messy Molly, but His evil plans required 6 3/8oz of slime. He stole another 2 3/5 oz o
katrin [286]

Answer:

Sinister Stan needs 1/40 oz more slime for his evil plan.

Step-by-step explanation:

6 3/8-3 3/4-2 3/5 = 51/8-15/4-13/5 = 255/40-150/40-104/40 = 1/40

4 0
1 year ago
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