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pashok25 [27]
3 years ago
5

An architect designs a rectangle flower garden such that the width is exactly two thirds of the length. If 310 feet of antique p

icket fencing are to be used to enclose the garden, find the dimension of the garden.
Mathematics
2 answers:
AlladinOne [14]3 years ago
4 0
Width = w
height = h

so w = (2/3) * h

(The perimeter surrounding it)
2w + 2h = 310

2((2/3) * h) + 2h = 310

4h/3 + 2h = 310

10h/3 = 310

10h = 930
h = 93 feet

w = (2/3) * 93

w = 62 feet
Airida [17]3 years ago
3 0

Answer:

The dimension of length is 93 feet and dimension of width is 62 feet.

Step-by-step explanation:

Consider the provided information.

Let W represents the width of the rectangle flower garden and L represents the length.

It is given that An architect designs a rectangle flower garden such that the width is exactly two thirds of the length.

This can be written as:

W=2/3L

It is given that the length of fence is 310 feet, that means the perimeter of the rectangle is 310.

Perimeter = 2(L+W)

Substitute the respective values in the above formula.

310 = 2(L+\frac{2}{3}L)

155 = L+\frac{2}{3}L

155 = \frac{3L+2L}{3}

155 = \frac{5L}{3}

465 = 5L

L= 93

Substitute the value of L in W=2/3L.

W=\frac{2}{3}\times 93

W=2\times 31

W=62

Hence, the dimension of length is 93 feet and dimension of width is 62 feet.

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<h3>Answer: Choice B) 122%</h3>

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

Work Shown:

A = 1250 is the initial amount

B = 2780 is the new amount

C = percent change = unknown for now

The formula to use is

C = [ (B-A)/A ] * 100

to calculate the percent change.

Basically we calculate the change (B-A) first and then divide that over the original amount A to compute the decimal form of the answer, which is then converted over to percentage form. The "100" tacked on at the end is what converts from decimal to percent form.

---------

C = [ (B-A)/A ] * 100

C = [ (2780 - 1250)/1250 ] * 100

C = (1530/1250)*100

C = 1.224 * 100

C = 122.4%

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The positive C value indicates we have a percent increase. If C were negative, then we'd have a percent decrease.

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Answer:

1716 ;

700 ;

1715 ;

658 ;

1254 ;

792

Step-by-step explanation:

Given that :

Number of members (n) = 13

a. How many ways can a group of seven be chosen to work on a project?

13C7:

Recall :

nCr = n! ÷ (n-r)! r!

13C7 = 13! ÷ (13 - 7)!7!

= 13! ÷ 6! 7!

(13*12*11*10*9*8*7!) ÷ 7! (6*5*4*3*2*1)

1235520 / 720

= 1716

b. Suppose seven team members are women and six are men.

Men = 6 ; women = 7

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Using calculator :

7C4 = 35

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13C7 - 7C7

7C7 = only women

13C7 = 1716

7C7 = 1

1716 - 1 = 1715

(iii) How many groups of seven can be chosen that contain at most three women?

(6C4 * 7C3) + (6C5 * 7C2) + (6C6 * 7C1)

Using calculator :

(15 * 35) + (6 * 21) + (1 * 7)

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Answer:

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