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Leviafan [203]
4 years ago
6

What is the area of a rectangle with vertices at (7,3), (12,3), (12,11), and (7,11)?

Mathematics
2 answers:
noname [10]4 years ago
3 0
I hope this helps you

RoseWind [281]4 years ago
3 0

Answer:

Area of Rectangle = Length × Breadth

Distance formula between two points ,

(x_{1},y_{1}) {\text{and}}, (x_{2},y_{2}), is=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}}

Length

= Distance between Points ,(7,3) and (12,3)

               =\sqrt{(12-7)^2+(3-3)^2}\\\\=5

Breadth

=Distance between Points ,(12,3) and (12,11)

               =\sqrt{(12-12)^2+(3-11)^2}\\\\=8

→→Area = 5 × 8

     = 40 square units

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Q8: These Triangles are similar. What is the value of X?
Umnica [9.8K]

Answer:

The answer to your question is x = 15

Step-by-step explanation:

Use proportions to solve this problem

                              \frac{x}{20} = \frac{12}{16}

Solve for "x"

                                          x = \frac{12(20)}{16}

Simplification

                                          x = \frac{240}{16}

Result

                                         x = 15                                                  

3 0
3 years ago
Your computer server recently crashed and you need to make changes to a large manual. The manual contains approximately 16,000 w
tensa zangetsu [6.8K]

Answer:

The manual cost that will take to recreate by the firm is $ 90.51

Step-by-step explanation:

Given:

Number of words the manual contains= 16000

Number of words typed by a clerk in one hour and 20 minutes = 4160

To Find:

The total cost for recreating the manual = ?

Solution:

Step 1:  Finding the Number of hours is need to type 4160 words :

= 1\frac{20}{60} hours

\\\\=1\frac{1}{3} hours

\\\\=\frac{4}{3} hours

So it takes  \frac{4}{3} hours to type 4160 word

Step 2 :  Finding the Number of hours is needed to type 1 word  

= \frac{4160}{\frac{4}{3}}

=4160 \times \frac{3}{4}

= 3120 words per hour

Step 3 :  Finding the Number of hours is needed to type 16000 words

=\frac{\text{ total number of words}} {\text{ number of words written per hour}}

Substituting the values

= \frac{16000}{3120}

=  5.1282 hours

Step 4 :  Finding the cost for recreating the manual.

= number of hours  x cost per hour

=   5.1282 x $17.65

=  90.51

5 0
3 years ago
I got disconnected from my tutor, can't reconnect. need an explanation ​
kherson [118]

The absolute value function |<em>x</em>| always returns a non-negative number. It takes any number <em>x</em> and returns <em>x</em> if it's already non-negative, or -<em>x</em> if it is negative in order to make it positive.

|x|=\begin{cases}x&\text{for }x\ge0\\-x&\text{for }x

For the equation

-3 + 4 |2<em>x</em> - 5| = 14

rearrange terms to get

|2<em>x</em> - 5| = 17/4

Now,

• if 2<em>x</em> - 5 ≥ 0, then |2<em>x</em> - 5| = 2<em>x</em> - 5. Then

2<em>x</em> - 5 = 17/4

• and if instead 2<em>x</em> - 5 < 0, then |2<em>x</em> - 5| = -(2<em>x</em> - 5), so that

-(2<em>x</em> - 5) = 17/4, or

2<em>x</em> - 5 = -17/4

In the first case,

2<em>x</em> - 5 = 17/4

2<em>x</em> = 17/4 + 5 = 37/4

<em>x</em> = 37/8

In the second case,

2<em>x</em> - 5 = -17/4

2<em>x</em> = -17/4 + 5 = 3/4

<em>x</em> = 3/8

5 0
3 years ago
On a given day, 36 of the 445 students in a school were absent. What was the appproximate absentee rate that day?
Nata [24]

Answer: The approximate absentee rate that day would be 8.09%.

Step-by-step explanation:

Since we have given that

Number of students who were absent = 36

Total number of  students = 445

We need to find the approximate absentee rate that day :

Rate of absentee of that day would be

\dfrac{\text{Number of absentee}}{\text{Total number of students}}\times 100\\\\=\dfrac{36}{445}\times 100\\\\=8.09\%

Hence, the approximate absentee rate that day would be 8.09%.

5 0
3 years ago
Helpppppppppp!!! :( math up ):
HACTEHA [7]

Answer:

A 4/5 × 10 1/2 =8.4

B 2 1/2 × 16/5 =8

C 3 2/3 × 2 1/2 = 330/36 = 9.1666

D 20/3 × 9/10 =6

C IS THE GREATEST because 9.166 is greater than 8.4, 8 and 6

7 0
3 years ago
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