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Paladinen [302]
3 years ago
12

Jeremy is building a large deck for a community center. The deck is shaped as a rectangle. The width of the deck is 29 feet. The

perimeter of the deck is to be at lease 134 feet. A. Write an inequality that represents all possible values for the length of the deck. B. Find all possible values for the length of the deck
Mathematics
1 answer:
aliina [53]3 years ago
7 0
We are given with the rectangle shaped deck which has  a width of 29 feet and a perimeter of 134 feet. the perimeter of a rectangle is equal to twice the sum of length and width. hence the equation goes : 

134 ≤ 2* (29 + L)
67 <span>≤ 29 + L 
38 </span><span>≤ L 

length should be greater or less than 38 feet</span>
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If A(3,4) and B(10,4) are the end points of a diameter of circle "O", what is the area of the circle O
ikadub [295]

Answer:

\large\boxed{\dfrac{49\pi}{4}}

Step-by-step explanation:

The formula of an area of a circle:

A=\pi r^2

<em>r</em> - radius

We have the endpoints of a diameter of a circle.

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the coordinates of the given points A(3, 4) and B(10, 4):

d=\sqrt{(10-3)^2+(4-4)^2}=\sqrt{7^2+0^2}=\sqrt{7^2}=7

Therefore we have the length of the diameter: <em>d = 7</em>

We know: <em>d = 2r.</em> Therefore

r=\dfrac{7}{2}

Substitute to the formula of an area:

A=\pi\left(\dfrac{7}{2}\right)^2=\dfrac{49\pi}{4}

<em>There is no such answer in the answers to choose.</em>

<em>Apparently you have some error in the coordinates of the endpoints.</em>

8 0
3 years ago
A newspaper conducted a survey to find out how many high school students play video games.The two ways table below displays the
zepelin [54]

Answer:

Step-by-step explanation:

Given that

We are given the following:

1. Boys who do play video games = 1593

2. Boys who do not play video games = 858

3. Total boys = 2451

4. Girls who do play video games = 1361

5. Boys who do not play video games = 1635

6. Total Girls = 2996

7. Total number of candidates = Total boys + Total girls

=(2451 + 2996) = 5447

8. Total number of students, who play video games = 2954

9. Total number of students, who do not play video games = 2493

Percentage of boys who play video games:

\dfrac{1593}{2451} \times 100 = 64.99\%

So, option A is not correct.

Percentage of girls who play video games:

\dfrac{1361}{2996} \times 100 = 45.43\%

so option B is correct. The percentage is near about 45%,

Percentage of Total number of students, who do not play video games:

\dfrac{2493}{5447} \times 100 = 45.77\%

So, option C is not correct.

7 0
3 years ago
If you need to know the other options I'll tell you just ask :)​
vazorg [7]

Answer:

The slope is -50. The slope means that the amount of money in the account is decreasing at a rate of  $50 every week.

Step-by-step explanation:

Given coordinates are (4,2400)\ and\ (12,2000)

We need to find the slope of the graph, and explain what does slope means for this graph.

The formula for computing slope (m) is  

m=\frac{y_2-y_1}{x_2-x_1}

Where (x_1.y_1) and (x_2,y_2) are the point on the line.

Let us plug points (4,2400)\ and\ (12,2000) in the equation

m=\frac{2000-2400}{12-4}\\ \\m=\frac{-400}{8}\\\\m=-50

Here, the negative sign of slope (m) represents that the value of the function (budget) is decreasing, with an increase in time (week).

The slope is -50. The slope means that the amount of money in the account is decreasing at a rate of  $50 every week.

6 0
3 years ago
In how many ways can a committee of 5 people be chosen from a total of 30 possible people?
Stolb23 [73]

Answer:  142506

Step-by-step explanation:

Given : The total number of choices for people in committee = 30

The number of people need to be chosen =5

Since , here order doesn't matter, so we use combination.

The combination of r things taking from n at a time is given by :-

C(n,r)=\dfrac{n!}{(n-r)!r!}

Now, the number of possible combinations of 5 people be chosen from a total of 30 possible people :-

C(30,5)=\dfrac{30!}{(30-5)!5!}\\\\=\dfrac{30\times29\times28\times27\times26}{120}\\\\=142506

Hence, the committee can be made in 142506 ways.

3 0
2 years ago
What is the coefficient in the expression 10x? -7 ?<br> A 7<br> B. X<br> O c. 10<br> O D. 2
allsm [11]

Answer:

C.) 10

Step-by-step explanation:

8 0
3 years ago
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