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3 years ago

A rectangular garden is fenced on three sides with a wall forming the fourth

Mathematics

1 answer:

Sveta_85 [38]3 years ago

4 0

Answer:

The dimensions are 5 m by 20 m.

Step-by-step explanation:

The area = length * width = 100 m^2.

2 times the width + the length = 30 m.

So we have the equations:

wL = 100

2w + L = 30

From the first equation:

L = 100/w so substituting in the second equation, we have:

2w + 100/w = 30

Multiply through by w:

2w^2 + 100 = 30w

2w^2 - 30w + 100 = 0 Divide by 2:

w^2 - 15w + 50 = 0

(w - 5)(w - 10) =

w = 5 or 10m.

So L = 100/5 or 100/10

= 20 or 10.

As it is rectangular then w = 5 and L = 20.

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Two coins are flipped. Draw a sample space diagram showing all possible outcomes

arlik [135]

H = Heads, T = tails
1st Coin 2nd Coin Final Outcome, ÷ 4 possible outcomes
H (H,H) 1/4, or 25%
H
T (H,T) 1/4, or 25%

H (T,H) 1/4, or 25%
T
T (T,T) 1/4, or 25%

If order does not matter:
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3 years ago

an Carlos County Health Department reported 17 new cases of tuberculosis in the first half of 2001 and 18 additional cases durin

Tpy6a [65]

Answer:

San Carlos County

Step-by-step explanation:

a) Data and Calculations:

Number of cases of tuberculosis reported in the first half of 2001 = 17

Number of cases of tuberculosis reported in the second half = 18

Total number of cases reported = 35 (17 + 18)

Population of the county at the beginning of 2001 = 204,500

Population of the county at the end of the year = 215,000

Average population for the year = 209,750 (204,500 + 215,000)/2

Therefore, the incidence rate of tuberculosis in the county = 35/209,750 * 100

= 0.000167

b) Since the incidence rate is <1, it suggests that the population of San Carlos County is at a very reduced risk of exposure to tuberculosis. This means that only 1 in 6,000 (209,750/35) people are exposed to the disease in the county.

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3 years ago

How much was shoes and shirt before went on sale

babymother [125]

This cannot be answered

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3 years ago

A caterpillar started at point (−2.5, −5.5) on a coordinate plane. She crawled in a straight line through the origin to point (4

alexgriva [62]

Answer:

The value of y is $99$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the line passes through the origin

therefore

Is a proportional variation

Find the value of k

with the point $(-2.5,-5.5)$

$k=y/x=-5.5/-2.5=2.2$

The equation is equal to

$y=2.2x$

For $x=45$

substitute

$y=2.2(45)=99$

6 0

3 years ago

Read 2 more answers

A boat cruise is 32 miles long. There are 40 sight-seeing stops evenly spread throughout the cruise. The boat covered 13 of the

Sauron [17]

For the first question, divide 32 by 40 and it should equal .8 miles. Then, for the second question, multiply .8 by 13 and it should equal 10.4 miles.

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3 years ago