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3 years ago

Y+x=88

Mathematics

1 answer:

jolli1 [7]3 years ago

7 0

Answer:

X = 30

Step-by-step explanation:

1) Y + X = 88

2) 58 + X = 88

-58 -58

------------------------

X = 30

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A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm. Calculate the volume of

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Answer:

The volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .

Step-by-step explanation:

Formula

$Volume\ of\ a\ cylinder = \pi r^{2} h$

$Volume\ of\ a\ cone = \pi r^{2} \frac{h}{3}$

Where r is the radius and h is the height .

As given

A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm.

$\pi = 3.14$

Thus

$Volume\ of\ a\ cylinder =3.14\times 5\times 2\times 2$

= 62.8 cm³

Thus the volume of a cylinder is 62.8 cm³ .

$Volume\ of\ a\ cone = 3.14\times 2\times 2\times frac{5}{3}$

$Volume\ of\ a\ cone =\frac{5\times 3.14\times 2\times 2}{3}$

$Volume\ of\ a\ cone =\frac{62.8}{3}$

= 20.9 (Approx) cm³

Thus the volume of a cone is 20.9 cm³ .

Therefore the volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .

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3 years ago

Write the point-slope form of the line passing through (2, -12) and perpendicular to y = 3x.

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Answer:

y + 12 = - $\frac{1}{3}$ (x - 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y = 3x is in the form y = mx with slope m = 3

Given the slope of a line m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{3}$

Hence

y - (- 12) = - $\frac{1}{3}$ (x - 2), that is

y + 12 = - $\frac{1}{3}$ (x - 2) ← in point- slope form

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