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Colt1911 [192]
3 years ago
5

HELPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!

Mathematics
1 answer:
snow_lady [41]3 years ago
8 0

Answer:

A. The area is 78.54m^2

B. She needs to cover 1661.9 square feet of tiles for the base of the swimming pool

Step-by-step explanation:

Question A:

Let us assume that the leash is pegged to the ground using a stake. as a result, the dog can move around the stake. The path that the motion of the dog would trace is a circle, and the radius of the circle will be the length of the leash.

Since we know this, we can easily find the area of the circle using \pi r^2

Area of the circle = \pi \times 5 \times 5 = 78.54m^2

Question B

Dulce wants to cover the whole surface area of the floor of the circular swimming pool with tiles.

We already know that the swimming pool is circular, hence, the surface area of the base of the swimming pool will be the same as the area of a circle, with the same radius.

The area of the circle can be calculated using \pi r^2

Area of circle = \pi \times 23 \times 23 = 1661.9ft^2

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In samanthas house 1/2 of the total floor is carpeted. Of the carpeted floor 3/4 is covered in red carpet. What fraction of the
den301095 [7]

Answer:

3/8 of the total floor is covered by red carpeting

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
2(y+3)=16-what is kate result
defon

Answer:

Y=5

Step-by-step explanation:

https://www.mathpapa.com/algebra-calculator.html?q=2(y%2B3)%3D16

8 0
3 years ago
What is the length of an arc with a central angle of 54π radians and a radius of 34 cm?
zvonat [6]
The formula in solving the length of an arc is shown below:
Length of an Arc = 2pi*r (central angle/360°)
Central angle = 54pi * (180°/pi) 
r = 34 cm

Solving for an arc length"
Arc length = 2*3.14*34((54*180)/360)
Arc length = 5,765.04 cm

The answer is 5,765.04 cm.
4 0
3 years ago
Bob makes three different silverware - spoons, forks and knives. Each unit (dozen) of spoon gives him a profit of $9, forks of $
Gala2k [10]

Answer:

Solution is:

z  (max) = 687.5

x₁   =  0

x₂   = 16

x₃   = 21

Step-by-step explanation:

From the problem statement we have:

Resources:      machine time ( 183 h)      labor (250  h)   steel  185 (pounds)

Unit

Spoons                          4                                     4                          3

forks                               4                                     9                          2

knives5                          5                                     5                          4

Profit $                           9                                    20                       17.5

Objective function z =  9*x₁  +  20*x₂  + 17.5 *x₃   to maximize

Subject to:

Availability of machine time  :  183 h

4*x₁  +  4*x₂ +   5*x₃ ≤  183

Availability of labor  :  250 h

4*x₁  +  9*x₂  +  5*x₃  ≤  250

Availability of steel  :  185 pounds

3*x₁  +  2*x₂  +  4*x₃  ≤  185

Requirement:

x₂ ≥ 16

General constraints:

x₁  ≥ 0             x₃      ≥  0 all integers

After 6 iteration the solution using AtomZmath on-line solver

z  (max) = 687.5

x₁   =  0

x₂   = 16

x₃   = 21

Resources used:

Machine time: 16* 4 + 21*5  =  64  +  105  = 169

remains   183 - 169  = 14 h

Labor:  16*9  +  21* 5  =  144  +  105  =  249

remains   250 -  249  =  1 h

Steel :  16*2  +  21*4  =  32  + 84  =  116

remains   185  -  116  = 69 pounds.

If it is decided that 20 units of forks are to be made then

we will need   4*4 = 16   h of machine time

                         9*4 =  36 h  of labor

                         2*4 = 8 pounds of steel

We can get that from abandom to make one unit of x₃ ??

No because as we said we need 36 hours  of  labor ( we still have 1 we need 35 more hours ) if we make 20 x₃ insted of 21 we get only 5 hours.

z we got is maximum

5 0
3 years ago
The total length of a motor cycle race is
Sunny_sXe [5.5K]

Answer:

1

4

Step-by-step explanation:

beacause all you have to do is subtract

3 : 2

4. 4

6 0
3 years ago
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