Solve the equation for the red variable d=rT T=

A rectangular swimming pool measures 7.5 m by 4.5 m. It is completely surrounded by a fence parallel to each edge of the pool an

Illusion [34]

The total length of the fence is 48 m if the rectangular swimming pool measures 7.5 m by 4.5 m.

<h3>What is rectangle?</h3>

It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that:

A rectangular swimming pool measures 7.5 m by 4.5 m.

It is completely surrounded by a fence parallel to each edge of the pool and at a distance of 3 m from each edge of the pool.

The total length of the fence = 2(7.5+3×2 + 4.5+3×2)

The total length of the fence = 2(7.5+6 + 4.5+6)

The total length of the fence = 2(24)

The total length of the fence = 48 m

Thus, the total length of the fence is 48 m if the rectangular swimming pool measures 7.5 m by 4.5 m.

Learn more about the rectangle here:

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4 0

2 years ago

What is the answer to 16> 1.5 + 0.8b

user100 [1]

Answer:

16>2.3b

Step-by-step explanation:

1.5+0.8=2.3

Substitute b as 1. Which would still keep it as 2.3.

8 0

3 years ago

A growing farming conglomerate increases its water usage at a rate of 10% every year. If it

Elena-2011 [213]

The quantity of water the farming conglomerate would use 17 years from now is 65,708.11.

<h3>What is the amount of water that would be used 17 years from now?</h3>

The formula for calculating the amount of water that would be needed 1 years from now:

FV = P (1 + r)^N

FV = Future value
P = Present value
R = interest rate
N = number of years

13000 x 1.1^17 = 65,708.11

To learn more about future value, please check: brainly.com/question/18760477

8 0

2 years ago

Given that sin theta = 1/4, 0

GaryK [48]

Answer: cos(Θ) = (√15) / 4

Explanation:

The question states:

1) sin(Θ) = 1/4

2) 0 < Θ < π / 2

3) find cos(Θ)

This is how you solve it.

1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

$(cos \alpha )^2 + (sin \alpha )^2 =1$

2) From which you can find:

$(cos \alpha )^2 = 1 - (sin \alpha )^2$

3) Replace sin(α) with 1/4

=> $(cos \alpha )^2 = 1 - (1/4)^2 = 1 - 1/16 = 15/16$

=> $cos \alpha =+/- \sqrt{15/16} = +/- (\sqrt{15} )/4$

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:

cos(Θ) = $\sqrt{15} /4$ .

And that is the answer.

6 0

3 years ago

Indicate whether the following analysis involves a statistical test. If it does involve a statistical test, state the population

Pie

Answer:

a

Yes it involves a statistical test

The population parameter(s) of interest is

The sample size is n = 100

The average reaction time of the right hands for the right-handed participants $\mu_R$

The average reaction time of the left hands for the left-handed participants $\mu_L$

The null hypothesis is $H_o : \mu_R = \mu_L$ ,

The alternative hypothesis is $H_a: \mu_R < \mu_L$

b

Yes it involves a statistical test

The population parameter(s) of interest is

The sample size is n = 100

The average reaction time of the right hands for the right-handed participants $\mu_R$

The average reaction time of the left hands for the left-handed participants $\mu_L$

The null hypothesis is $H_o : \mu_R = \mu_L$ ,

The alternative hypothesis is $H_a: \mu_R < \mu_L$

c

Yes it involves a statistical test

The population parameter(s) of interest is

The percentage of people in the community living in a mobile home is denoted with p

The sample size is n = 1000

The null hypothesis is $H_o : p =10\% = 0.01$ ,

The alternative hypothesis is $H_a: p >10\% = 0.01$

Step-by-step explanation:

Considering the first statement

Testing 100 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left.

Yes, the analysis does involve a statistical test.

The null hypothesis is $H_o : \mu_R = \mu_L$ ,

The alternative hypothesis is $H_a: \mu_R < \mu_L$

Here $\mu_R$ is the average reaction time of the right hands for the right-handed participants

and $\mu_L$ is the average reaction time of the left hands for the left-handed participants

Considering third statement

Polling 1000 people in a large community to determine if there is evidence for the claim that the percentage of people in the community living in a mobile home is greater then 10%.

The percentage of people in the community living in a mobile home is denoted with p

The sample size is n = 1000

The null hypothesis is $H_o : p =10\% = 0.01$ ,

The alternative hypothesis is $H_a: p >10\% = 0.01$

3 0

3 years ago