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Ksju [112]
3 years ago
9

A debt greater than 20$ and less than 30$

Mathematics
1 answer:
Vsevolod [243]3 years ago
5 0

Answer:

A debt greater than 20$ and less than 30$ is 25$

Step-by-step explanation:

A brainliest would be nice please :D

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A right circular cylinder has a diameter of 16 mm and a height of 12 mm. what is the volume of the cylinder in terms of π?
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Volume of the cylinder = hr²π

diameter = 2 × radius
16 = 2 × r
r = 16/2
r = 8 mm

V = hr²π
V = 12 × 8² × π
V = 12 × 64 × π
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8 0
3 years ago
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A rectangle has an area of 19.38 cm2. When both the length and width of the rectangle are increased by 1.50 cm, the area of the
Lostsunrise [7]

Answer: 5.7\ cm

Step-by-step explanation:

Given

Rectangle has an area of 19.38\ cm^2

Suppose rectangle length and width are l and w

If each side is increased by 1.50\ cm

Area becomes A_2=35.28\ cm^2

We can write

\Rightarrow lw=19.38\quad \ldots(i)\\\\\Rightarrow (l+1.5)(w+1.5)=35.28\\\Rightarrow lw+1.5(l+w)+1.5^2=35.28\\\text{use (i) for}\ lw\\\Rightarrow 19.38+1.5(l+w)=35.28-2.25\\\Rightarrow l+w=9.1\quad \ldots(ii)

Substitute the value of width from (ii) in equation (i)

\Rightarrow l(9.1-l)=19.38\\\Rightarrow l^2-9.1l+19.38=0\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{(-9.1)^2-4(1)(19.38)}}{2\times 1}\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{5.29}}{2}\\\\\Rightarrow l=\dfrac{9.1\pm2.3}{2}\\\\\Rightarrow l=3.4,\ 5.7

Width corresponding to these lengths

w=5.7,\ 3.4

Therfore, we can write the length of the longer side is 5.7\ cm

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3 years ago
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sergiy2304 [10]
C. 118.2

1 and 2 make a complimentary angle, so 2=118.2

2 and 6 are corresponding, so angle 2=angle 6 (118.2 = 118.2)
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