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Yuri [45]
3 years ago
10

Help please show work

Mathematics
1 answer:
Olenka [21]3 years ago
5 0

Answer:

67.5 ft^2

Step-by-step explanation:

First find the area of the circle.

A = pi r^2

A = pi (8)^2

A = 64pi

There are 360 degrees in a circle

The shaded area has 121 degrees

The fraction is 121/360

The fraction shaded is 121/360

The fraction of the circle is the same as the area

121/360 A = 121/360 * 64 pi

area shaded = 67.54488889

To the nearest tenth

area shaded = 67.5

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A gardener wishes to design a rectangular rose garden with one side of the garden along a main road. The fencing for the 3 non-r
Reptile [31]

Answer:

There is no minimum cost for the fencing that can satisfy these conditions.

as the equation obtained for this problem is y = \frac{7x}{x-6}.

Step-by-step explanation:

let length of the rectangular rose garden be x

and breath of the rectangular rose garden be y

then the area of the garden = xy

cost of fencing a foot for the 3 non road sides = $6

and cost of fencing a foot for a road side = $8

total cost of fencing = 6x + 8x + 6y + 6y

so, total cost = 14x + 12y

cost of fencing for every square foot of the area =$2

So, 2xy = 14x + 12y

=> 2xy = 14x + 12y

Also, x and y has to satisfy x>0 and y>0

You can solve for y (or x if you prefer)

2xy-12y=14x

xy - 6y = 7x

y(x-6)=7x

y = \frac{7x}{x-6}

we can check that this function has no minimum value.

as we increase x (starting any x > 6 to make y positive) to make y minimal, y will decrease but the product xy will increase.

So, there is not a minimum cost for fencing that can satisfy these conditions.

8 0
3 years ago
Read 2 more answers
Please help me wiyh this<br> In triangle △WXY, XY ≅ WX and m∠X=38 Find m∠W
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2 years ago
In a completely randomized design involving four treatments, the following information is provided. Treatment 1 Treatment 2 Trea
NeTakaya

Answer:

Option (b) 36.7

Step-by-step explanation:

Data provided in the question:

                       Treatment 1     Treatment 2     Treatment 3      Treatment 4

Sample Size          50                   18                     10                          17

Sample Mean        32                   36                    42                         48

Now,

The overall mean is calculated as

= \frac{\sum_{i = 1}^{4} n_i X_i}{\sum_{i = 1}^{4} {n_i}}

Here, Xi = Sample mean

n = sample sizes

Thus,

Overall mean

= [ (50 × 32) + (18 × 36) + (10 × 42) + (17 × 48) ] ÷ [ 50 + 18 + 10 + 17 ]

= [ 1600 + 648 + 420 + 816 ]  ÷ 95

= 36.67 ≈ 36.7

hence,

Option (b) 36.7

7 0
3 years ago
Write a two-column proof. Given: 7y = 8x - 14; y = 6. Prove that : x = 7.
svet-max [94.6K]

Answer:

Given: 7y =8x-14 , y =6

To prove: x =7

On substituting the value of y =6 in the equation 7y = 8x -14 to solve for x.

7(6)= 8x - 14

or

42 = 8x -14                       ......[1]

Addition Property of equality states that you add the same number to both sides of an equation.

Add 14 to both sides in equation [1];

42+14 =8x -14+14

Simplify:

56 = 8x              

or

8x =56                                 ......[2]

Division Property of equality states that you divide the same number to both sides of an equation.

Divide by 8 to both sides of an equation [2];

\frac{8x}{8} =\frac{56}{8}

Simplify:

x =7                             Hence proved!

A two Column proof:

 Statement                                Reason

1. 7y = 8x -14                                   Given

    y= 6

2. 7(6) = 8x -14                                Substitution property

3.  42+14 = 8x                                  Addition property of equality

4.   56 =8x                                       Simplify

5.    x =7                                           Division Property of equality

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No her estimate is to low because if you multiply 15.5 by 12 you get 186
8 0
3 years ago
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