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3 years ago

Plz help ASAP!!!!!!!!

Mathematics

1 answer:

lilavasa [31]3 years ago

4 0

Answer:

The answer is 95.03

Step-by-step explanation

The formula that I used

A=πr^2

Area = π·5.5^2 ≈ 95.03318

Hope that helps :)

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The sum of two numbers is eighteen. The total of three times the smaller and twice the larger is forty-four. Find the two number

sashaice [31]

Answer:

The numbers are 8 and 10.

Step-by-step explanation:

Let the numbers be x and y.

The sum of two numbers is eighteen:

x + y = 18

The total of three times the smaller and twice the larger is forty-four:

3x + 2y = 44

Solve the system by substitution:

x = 18 - y

Substitute x and solve for y:

3(18 - y) + 2y = 44
54- 3y + 2y = 44
54 - y = 44
y = 54 - 44
y = 10

Find x:

x = 18 - 10
x = 8

6 0

1 year ago

SIMPLE INTEREST

cupoosta [38]

The answer would be 5 years. I=PxRxT.

3 0

3 years ago

Read 2 more answers

Juan works at bob’s appliance store . he earns $400 per week he also receives a commission of $50 for each appliance he sels

sweet-ann [11.9K]

Answer:

400×W+50×A=?

Step-by-step explanation:

since it's 400 a week then you need to take into account the weeks worked. Then since it's 50 per an appliance you need to multiply by the number sold.

5 0

3 years ago

Solve (x-3)^2 = 5 HELP ASAP!!! Please!! :(

Bas_tet [7]

Answer:

Answer is option d 

Step-by-step explanation:

$given \: expression \: is \: {(x - 3)}^{2} = 5 \\ {x}^{2} - 6x + 9 = 5 \\ subtracting \: 5 \: on \: both \: sides \: we \: get \\ {x}^{2} - 6x + 4 = 0 \\ on \: solving \: the \: quadratic \: equation \: by \\ \: completing \: square \: method \\ {x}^{2} - 6x = - 4 \\ adding \: {3}^{2} on \: both \: sides \: w e\: get \\ {x}^{2} - 6x + {3}^{2} = {3}^{2} - 4 \\ {(x - 3)}^{2} = 5 \\ x - 3 + = \sqrt{5} \\ x = \sqrt{5 } + 3$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

5 0

2 years ago

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

Plz help ASAP!!!!!!!!​

Plz help ASAP!!!!!!!!