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3 years ago

Which formula shows how the length of the rectangle can be determined by the width and perimeter?

Mathematics

1 answer:

tangare [24]3 years ago

8 0

Answer:

(P/2) - W = L

Step-by-step explanation:

P = Perimeter

W = Width

L = Length

Formula of Perimeter

=> P = 2L + 2W

Now, let's simply that formula to make L alone.

=> P/2 = 2L/2 + 2W/2

=> (P/2) = L + W

=> (P/2) - W = L + W - W

=> Length = (P/2) - W

For example, let's take the perimeter of a rectangle is 14cm. Its width is 2cm. Length is L

Using the formula,

=> (P/2) - W = L

=> (14/2) - 2 = L

=> 7 - 2 = L

=> L = 5

Let's plug in our answer.

=> 2(5) + 2(2) = 14

=> 10 + 4 = 14

=> 14 = 14

So, our formula is correct.

You might be interested in

The value of y varies inversely as the cube of x and y=1 when x=6. Find the value of y when x =2.

ch4aika [34]

Answer:

y=27 when x=2

Step-by-step explanation:

y varies inversely as the cube of x

y=k(1/X^3)

y=1 when x=6

y=k(1/X^3)

1=k(1/6^3)

1=k(1/216)

k=1÷1/216

K=1×216/1

k=216

find y when x=2

y=k(1/X^3)

y=216(1/2^3)

y=216(1/8)

y=216/8

y=27

3 0

2 years ago

The port of South Louisiana, located along 54 miles of the Mississippi River between New Orleans and Baton Rouge, is the largest

Ksenya-84 [330]

Answer:

a) 0.7287

b) 0.9663

c) 0.237

d) 3.65 tons of cargo per week or more that will require the port to extend its operating hours.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4.5 million tons of cargo per week

Standard Deviation, σ = 0 .82 million tons

We are given that the distribution of number of tons of cargo handled per week is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P( port handles less than 5 million tons of cargo per week)

P(x < 5)

$P( x < 5) = P( z < \displaystyle\frac{5 - 4.5}{0.82}) = P(z < 0.609)$

Calculation the value from standard normal z table, we have,

$P(x < 5) =0.7287= 72.87\%$

b) P( port handles 3 or more million tons of cargo per week)

$P(x \geq 3) = P(z \geq \displaystyle\frac{3-4.5}{0.82}) = P(z \geq −1.82926)\\\\P( z \geq −1.82926) = 1 - P(z < -1.829)$

Calculating the value from the standard normal table we have,

$1 - 0.0337 = 0.9663 = 96.63\%\\P( x \geq 3) = 96.63\%$

c)P( port handles between 3 million and 4 million tons of cargo per week)

$P(3 \leq x \leq 4) = P(\displaystyle\frac{3 - 4.5}{0.82} \leq z \leq \displaystyle\frac{4-4.5}{0.82}) = P(-1.829 \leq z \leq -0.609)\\\\= P(z \leq -0.609) - P(z < -1.829)\\= 0.271-0.034 = 0.237= 23.7\%$

$P(3 \leq x \leq 4) = 23.7\%$

d) P(X=x) = 0.85

We have to find the value of x such that the probability is 0.85.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 4.5}{0.82})=0.85$

$= 1 -P( z \leq \displaystyle\frac{x - 4.5}{0.82})=0.85$

$=P( z \leq \displaystyle\frac{x - 4.5}{0.82})=0.15$

Calculation the value from standard normal z table, we have,

$P( z \leq -1.036) = 0.15$

$\displaystyle\frac{x - 4.5}{0.82} = -1.036\\x = 3.65$

Thus, 3.65 tons of cargo per week or more that will require the port to extend its operating hours.

8 0

2 years ago

A garden has 8 white roses and 11 yellow roses

Kisachek [45]

8+11=19. So there’s 19 roses in total

4 0

2 years ago

Read 2 more answers

(0.3d-1.5)/3 1/3=0.84:7/15

Anika [276]

Answer:

d = 25

Step-by-step explanation:

Perhaps you want to solve for d:

(0.3d -1.5)/(3 1/3) = 0.84/(7/15)

Change the division by a fraction to multiplication by its inverse.

(0.3d -1.5)·(3/10) = (0.84)·(15/7)

0.09d -0.45 = 1.8 . . . . . . . . . . . . simplify

d - 5 = 20 . . . . . . . . . . . . . . . . . . divide by 0.09

d = 25 . . . . . . . . . . . . . . . . . . . . . add 5

_____

Grouping symbols help show what is being divided by what. Especially where mixed numbers are involved, parentheses help show that the number 3 1/3 is not supposed to be interpreted as the product of 3 and 1/3.

4 0

2 years ago

This year Sheila earned 8.00$ an hour. This year she earns 10.00$ an hour. What is the percent increase in the amount Sheila ear

yulyashka [42]

Answer: It is a 25% increase.

Step-by-step explanation: First lets subtract her new wage from her old wage. 10 - 8 = 2

Next, lets write an percent equation, for p = percent.

2 = p x 8

Basically, we are saying that her new wage will be what percent of her old wage.

Next,

2/8 = p

0.25 = p

Now, multiply 0.25 by 100 to get a percent

0.25 x 100 = 25

So her new wage is a 25% increase from her old wage.

Step-by-step explanation:

8 0

2 years ago