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White raven [17]
2 years ago
14

there are 90 people in a group. 6 of the people are men. The number of women is 2 times the number of men. the rest are children

. the number of children : the number of men is n:1. work out n
Mathematics
1 answer:
stepladder [879]2 years ago
3 0

Answer:

n= 12

Step-by-step explanation:

6*2= 12

Men= 6

Women= 12

12+6= 18

90-18= 72

72:6= 12:1

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A 1.5-mm layer of paint is applied to one side of the following surface. Find the approximate volume of paint needed. Assume tha
Mariulka [41]

Answer:

V = 63π / 200  m^3

Step-by-step explanation:

Given:

- The function y = f(x) is revolved around the x-axis over the interval [1,6] to form a spherical surface:

                                 y = √(42*x - x^2)

- The surface is coated with paint with uniform layer thickness t = 1.5 mm

Find:

The volume of paint needed

Solution:

- Let f be a non-negative function with a continuous first derivative on the interval [1,6]. The Area of surface generated when y = f(x) is revolved around x-axis over the interval [1,6] is:

                           S = 2*\pi \int\limits^a_b { [f(x)*\sqrt{1 + f'(x)^2} }] \, dx

- The derivative of the function f'(x) is as follows:

                            f'(x) = \frac{21-x}{\sqrt{42x-x^2} }

- The square of derivative of f(x) is:

                            f'(x)^2 = \frac{(21-x)^2}{42x-x^2 }

- Now use the surface area formula:

                           S = 2*\pi \int\limits^6_1 { [\sqrt{42x-x^2} *\sqrt{1 + \frac{(21-x)^2}{42x-x^2 } }] \, dx\\\\S = 2*\pi \int\limits^6_1 { [\sqrt{42x-x^2+(21-x)^2} }] \, dx\\\\S = 2*\pi \int\limits^6_1 { [\sqrt{42x-x^2+441-42x+x^2} }] \, dx\\\\S = 2*\pi \int\limits^6_1 { [\sqrt{441} }] \, dx\\S = 2*\pi \int\limits^6_1 { 21} \, dx\\\\S = 42*\pi \int\limits^6_1 { dx} \,\\\\S = 42*\pi [ 6 - 1 ]\\\\S = 42*5*\pi \\\\S = 210\pi

- The Volume of the pain coating is:

                           V = S*t

                           V = 210*π*3/2000

                          V = 63π / 200 m^3

8 0
3 years ago
Read 2 more answers
Help me pleaseeeee :) ....
slava [35]
The answer is 16 zu j jenemmddm
4 0
3 years ago
Broccoli costs 1 dollar and 50 cents per pound . How much money does 64 ounces of broccoli cost?
yawa3891 [41]
64 ounces= 4 pounds 
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64 ounces of broccoli costs 6 dollars
5 0
3 years ago
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Find the base circumference of a cone with height 10 cm and volume 90π cm3 .
Leni [432]

Answer:

<em>Answer is </em><em>circumference</em><em> </em><em>=</em><em>32</em><em>.</em><em>64</em>

Step-by-step explanation:

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<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

3 0
3 years ago
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9x10to the power of -9
Deffense [45]
<h2>-Answer :</h2>

\large \boxed{0.000000009}

<h2><u>Solution</u> :</h2>

Here we go :

\rightarrow9 \times 10 {}^{ - 9}

\rightarrow \dfrac{9}{10 {}^{9} }

\rightarrow \dfrac{9}{1000000000}

\rightarrow0.000000009

\bold{ \mathfrak{hope \: it \: helps \: you......}}

4 0
3 years ago
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