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3 years ago

Ratio of 5 cm to 25 cm.C/2.

Mathematics

1 answer:

Zigmanuir [339]3 years ago

3 0

Answer:

1:5

Step-by-step explanation:

5/5 and 25/5

so 1:5

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Which of the following describes the following graph?

andre [41]

A. neither a function nor a relation

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3 years ago

Hello people ~

Luden [163]

Cone details:

height: h cm

radius: r cm

Sphere details:

radius: 10 cm

================

From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.

Using Pythagoras Theorem

(a)

TO² + TU² = OU²

(h-10)² + r² = 10² [insert values]

r² = 10² - (h-10)² [change sides]

r² = 100 - (h² -20h + 100) [expand]

r² = 100 - h² + 20h -100 [simplify]

r² = 20h - h² [shown]

r = √20h - h² ["r" in terms of "h"]

(b)

volume of cone = 1/3 * π * r² * h

===========================

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (\sqrt{20h - h^2})^2 \ ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20h - h^2) (h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20 - h) (h) ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} \pi h^2(20-h)$

To find maximum/minimum, we have to find first derivative.

(c)

First derivative

$\Longrightarrow \sf V' =\dfrac{d}{dx} ( \dfrac{1}{3} \pi h^2(20-h) )$

apply chain rule

$\sf \Longrightarrow V'=\dfrac{\pi \left(40h-3h^2\right)}{3}$

Equate the first derivative to zero, that is V'(x) = 0

$\Longrightarrow \sf \dfrac{\pi \left(40h-3h^2\right)}{3}=0$

$\Longrightarrow \sf 40h-3h^2=0$

$\Longrightarrow \sf h(40-3h)=0$

$\Longrightarrow \sf h=0, \ 40-3h=0$

$\Longrightarrow \sf h=0,\:h=\dfrac{40}{3}$

maximum volume: when h = 40/3

$\sf \Longrightarrow max= \dfrac{1}{3} \pi (\dfrac{40}{3} )^2(20-\dfrac{40}{3} )$

$\sf \Longrightarrow maximum= 1241.123 \ cm^3$

minimum volume: when h = 0

$\sf \Longrightarrow min= \dfrac{1}{3} \pi (0)^2(20-0)$

$\sf \Longrightarrow minimum=0 \ cm^3$

6 0

2 years ago

Read 2 more answers

Triangles LMN and NWR are right triangles. What is

Sever21 [200]

Answer:

NW = 15.6 cm

Step-by-step explanation:

If ΔLMN ~ ΔNWR then:

$\sf LN : LM = RN : RW$

$\implies \sf \dfrac{LN}{LM}=\dfrac{RN}{RW}$

$\implies \sf \dfrac{10}{24}=\dfrac{6}{RW}$

$\implies \sf 10RW=6 \cdot 24$

$\implies \sf RW = 14.4\:cm$

Find NW by using Pythagoras' Theorem:

$a^2+b^2=c^2$

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

a = RN = 6 cm
b = RW = 14.4 cm
c = NW

Substituting the given values into the formula and solving for NW:

$\implies \sf 6^2+14.4^2=NW^2$

$\implies \sf NW^2=243.36$

$\implies \sf NW=\sqrt{243.36}$

$\implies \sf NW=15.6\:cm$

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2 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Is 13 over 6 irrational number

mojhsa [17]

Answer: It is a rational number as irrational number is a number that cannot be expressed as a fraction for any integers.

Step-by-step explanation:

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3 years ago

Ratio of 5 cm to 25 cm.C/2.​

Ratio of 5 cm to 25 cm.C/2.