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Degger [83]
4 years ago
14

A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog pool. Find

the value of x in the drawing below:

Mathematics
1 answer:
Drupady [299]4 years ago
6 0

Answer:

x = 8

Step-by-step explanation:

==>Given that a family pool with a quadrilateral shape ABCD is similar with the dog pool EFGH, we can find the value of x by using the proportion of their corresponding sides.

Since ABCD ~ EFGH, the proportion of their corresponding sides are equal.

Thus, AB/EF = BC/FG = CD/GH = DA/HE

We have: 3/y = 4/3 = 5/z = x/6

Finding z:

4/3 = 5/z

Cross multiply

4*z = 5*3

4z = 15

z = 15/4

z = 3.75

Let's find x:

5/z = x/6

5/3.75 = x/6

Cross multiply

6*5 = x*3.75

30/3.75 = x

8 = x

x = 8

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The area would be .4 cubic feet. The perimeter would be 2.1
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I need to pass this but I just need help on the percentage
Tcecarenko [31]

Answer:

38%

Step-by-step explanation:

$600 is 100%

$60 is 10%

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3 60s go into 228 with 48 still left.

6 times 8 is 48.

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6 0
3 years ago
For what values of the variables are the following expressions defined? 1. 5y+2 2. 18/y 3. 1/x+7 4. 2b/10−b Example: X>7
Serga [27]

Answer:

1. All real numbers

2. All real numbers except y = 0

3. All real numbers except x = -7

4. All real numbers except b = 10

Step-by-step explanation:

For any function to be defined at a particular value, it should not be <em>approaching to a value </em>\infty<em> or it should not give us the </em>\frac{0}{0}<em> (zero by zero) form </em> when the input is given to the function.

The value of function will depend on the denominator.

Now, let us consider the given functions one by one:

1. 5y+2

Here denominator is 1. So, it can not attain a value \infty or \frac{0}{0}<em> (zero by zero) form </em>

So, for all real numbers, the function is defined.

2.\ \dfrac{18}{y}

At y = 0, the value

At\ y =0,  \dfrac{18}{y} \rightarrow \infty

So, the given function is <em>defined for all real numbers except y = 0</em>

<em></em>

<em></em>3.\ \dfrac{1}{x+7}<em></em>

Let us consider denominator:

x + 7 can be zero at a value x = -7

At\ x =-7,  \dfrac{1}{x+7} \rightarrow \infty

So, the given function is <em>defined for all real numbers except x = -7</em>

<em></em>

4.\ \dfrac{2b}{10-b}

Let us consider denominator:

10-b can be zero at a value b = 10

At\ b =10,  \dfrac{2b}{10-b} \rightarrow \infty

So, the given function is <em>defined for all real numbers except b = 10</em>

<em></em>

7 0
3 years ago
Find the sum of the predecessor of the predecessor of 2987 and successor of the greatest 3 digits number is __________
grin007 [14]

Answer:

3985

Step-by-step explanation:

Note: predecessor means a number before for example  predecessor of 4 is 3. Similarly, successor is a number after for example the successor of 4 is 5.

The  predecessor of the predecessor of 2987  = 2987-2 = 2985

Let 2985 be x

The greatest 3 digit number = 999

And the successor of the greatest 3 digits number would be = 999+1 = 1000

let 1000 be y

We have find  the sum of x and y

= 2985+1000

= 3985

4 0
3 years ago
Find the sale price to the nearest cent.<br><br> $4.30 makeup; 40% discount; 6% tax
katrin [286]

Answer:

Sale price is $2.58.

Paid with tax is $2.73

Step-by-step explanation:

If the make-up is originally $4.30 and you receive a 40% discount. This means you'll pay 60% of the price since 100-40=60.

To find this price, 60% as 0.6 is multplied with the price. 0.6*4.30 = $2.58

This is the sale price.

When you pay you will pay 6% tax or 0.06 of the price. Find this by multiplying $2.58 by 1.06.

2.58(1.06) = $2.73

7 0
3 years ago
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