A swimming pool is in the shape of a rectangular prism. The pool is 30 feet long, 16 feet wide, and 6 feet deep. James stretched a hose straight from a top corner of the pool to the bottom corner farthest away. What is the length of the hose from the top corner to the bottom corner farthest away? ​

Answers

Answer 1

Answer:

About 34.5 which you can round to 35

Step-by-step explanation:

First you find the hypotenuse of 30 and 16 which is 34

Then the hypotenuse of 34 and 6 which is about 34.5

Answer 2

The length of the hose from the top corner to the bottom corner farthest away will be 34.5 feet

What is a Rectangular Prism?

A rectangular prism is a 3-D figure, which has 6 faces, 8 vertices and 12 edges. All of the faces will be in rectangular shape.

Rectangular prism has three dimensions, namely, length, width and height.

Length of the swimming pool = 30 feet

Width of the swimming pool = 16 feet

Height of the swimming pool = 6 feet

We have to find the length of the hose from the top corner to the bottom corner farthest away.

For that first we have to find the length of the hypotenuse of the triangle with base = 30 feet and altitude = 16 feet

= √(30² + 16²)

= 34 feet

Now, we have to find the hypotenuse of the triangle with base = 34 feet and altitude = 6 feet.

= √(34² + 6²)

= 34.5 feet

Hence the length of the hose from the top corner to the bottom corner farthest away is 34.5 feet.

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Answers

Given:

The points are (5,40) and (0,10).

To find:

The equation for the trend line using the given points.

Solution:

If a line passes through two points, then the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

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Step-by-step explanation:

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Step-by-step explanation:

3.1083.183.75.57

think it's right :)

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Answers

Answer:

See the attached

Step-by-step explanation:

The answer is in the attached picture

Sketch the graph of the function below, including correct signs, x-intercepts and y-
intercepts.
f(x) = (x + 2)²(x – 5)2
y
200
180
160
140
120
100
80
60
40
20
-10 9 8 7 6 5 4 3 2
1
2
3
5
6
7
9
10
-1
-20
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-160
-180
-200

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Answer:

Sketch the graph of the function below, including correct signs, x-intercepts and y-

intercepts.

f(x) = (x + 2)²(x – 5)2

y

200

180

160

140

120

100

80

60

40

20

-10 9 8 7 6 5 4 3 2

1

2

3

5

6

7

every computer that a business owner purchases will lose most of its value after 5 years of use. the owner plans to purchase a computer for $2.100 and replace it after 4 years.

The business owner bought a computer that cost $2,400 instead of $2,100. the owner plans to replace the computer after 3 years instead of 4 years. Comparing both methods, which statement is true about the remaining value of this computer after 3 years of use ?

Answers

Answer:

Step-by-step explanation:

a) Data and Calculations:

Estimated useful life of a computer = 5 years

Cost of a computer purchased = $2,400

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Answers

Answer with explanation:

To prove: [tex]a^2-a[/tex] is divisible by 2 for any whole value of a.

Consider [tex]a^2-a=a(a-1) \ \ \ \ [\text{ Taking 'a' out as common }][/tex]

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⇒ a(a-1) is divisible by 2 [Every even number is divisible by 2.]

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Hence proved.

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Answers

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[tex]a^{2}+2ab+b^{2}[/tex]

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The solution is

Answers

Answer:

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Step-by-step explanation:

What are two equivalent fractions to 9/15

Answers

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

147.03 sq.cm.  

Step-by-step explanation:  

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Step-by-step explanation:

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Answers

Answer:

114 degrees

Step-by-step explanation:

From the letters that describe the rays, these two angles are adjacent to each other, and therefore, if the measure of one is 27 degrees and that of the other one is 87 degrees, then the larger angle defined by the two rays (HJ and HK) with common vertex H would be:

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Please use the Quadratic Formula to find the zeros of the function below.
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Answers

Answer:

Step-by-step explanation:

distribute this: 3(9x+2)
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Answer:

27x + 6

Step-by-step explanation:

Distributive property of multiplication:

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Answer:

27x+6

Step-by-step explanation:

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2x+2x2=32

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2

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Answers

Solution

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y
D"
B
B"
A"
F1
А
Nt
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1
A
D'
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-2
B
C
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Answers

What is the question??

Identify the range of the function shown in the graph.
A. {-2, 2}
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Answers

Given:

The graph of a function.

To find:

The range of the function.

Solution:

Range is the set of y-values or output values.

From the given graph it is clear that,

[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]

[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]

And the value function can be any real number. So,

Range = [tex]-\infty<y<\infty[/tex]

Range = [tex](-\infty, \infty)[/tex]

Range = y is all real numbers.​

Therefore, the correct option is D.

Answer:

D. y is all real numbers.​

Step-by-step explanation:

Range is the set of y-values or output values.

From the given graph it is clear that,

And the value function can be any real number. So,

Range =

Range =

Range = y is all real numbers.​

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Answers

Answer:

3x-3 i think

Step-by-step explanation:

9x-6x = 3x 5-8 = -3

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Answers

Answer:

r = 12.1

Step-by-step explanation:

r - 18.7 = -6.6

 + 18.7   + 18.7 ( add 18.7 to both sides)

r = -6.6 + 18.7

r = 12.1

brainliest? :)

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Answers

Answer:

0.77

Step-by-step explanation:

Original equation: 22x-2=15

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Divide by 22 on both sides: x=17/22, or 0.77

Let me know if this helps!

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