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antoniya [11.8K]
3 years ago
10

A rectangular balcony has an area of 32 square feet. its perimeter is 24 feet. what are the dimensions of the balcony?

Mathematics
1 answer:
Paul [167]3 years ago
5 0

Answer:

Step-by-step explanation:

8 ft by 4 ft

8ft x 4ft = 32 ft

8ft + 8 ft = 16 ft  4 ft + 4 ft = 8 ft

16ft + 8 ft = 24 ft

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What is the range for this set of data? 7, 15, 12Mrs. Juarez graded ten English papers and recorded the scores. 92, 95, 100, 62,
ra1l [238]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

Arrange the value into the ascending order:

62, 88, 89, 90, 92, 95, 96, 98, 100, 100

Calculating the Range:

= Greatest - Lowest\\\\= 100 - 62\\\\ = 38

Outlier =  This might be the value "far" from other data values= 62

The range of scores would be, sans outlier,

 88, 89, 90, 92, 95, 96, 98, 100, 100

Calculating the range without outlier = 100 - 88 = 12

Inter Quartile Range = Q_3 - Q_1

IQR = 98 - 89 = 11

Calculating the IQR without outlier = 99 - 89.5 = 9.5

Therefore,

Option a is "True".

Option b is "True".

Option c is "True".

Option d is "False".

Option e is "False".

Option f is "True".

5 0
3 years ago
Use the x-intercept method to find all real solutions of the equation.<br> x^3-8x^2+9x+18=0
meriva

Answer:

a. x=-1,3,\:or\:6

Step-by-step explanation:

The given equation is;

x^3-8x^2+9x+18=0

To solve by the x-intercept method we need to graph the corresponding function using a graphing calculator or software.

The corresponding function is

f(x)=x^3-8x^2+9x+18

The solution to x^3-8x^2+9x+18=0 is where the graph touches the x-axis.

We can see from the graph  that; the x-intercepts are;

(-1,0),(3,0) and (6,0).

Therefore the real solutions are:

x=-1,3,\:or\:6

8 0
4 years ago
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The pass mark for an exam is 92% <br> abbi scored 62 out of 68 <br> does she pass the exam
BartSMP [9]

Answer:

68/100*92= 62.56

No abbi does not pass exam.

7 0
3 years ago
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Explain the steps in calculating the mean absolute<br>deviation of a set of data.​
Sergeeva-Olga [200]

Answer:

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. ... Divide the sum of the absolute values of the differences by the number of data values.

8 0
3 years ago
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A designer wants to create an apartment in the shape of a right triangle as his new design. If he has three partitions that are
ella [17]

No, he can not do it

Step-by-step explanation:

To prove that the the given three sides can form a right triangle:

  1. Square the three sides
  2. Add the squares of the smaller two sides
  3. If the sum is equal to the square of the largest side, then the three given sides can form a right triangle
  4. If the sum is not equal to the square of the largest side, then the three given sides can not form a right triangle

∵ The designer has three partitions that are 14 , 9 and 20 feet

- Square the length of each partition

∵ 9² = 81

∵ 14² = 196

∵ 20² = 400

- Add the squares of the two smaller partitions 9 and 14

∵ 81 + 196 = 277

∵ The square of the largest partition = 400

∵ 277 ≠ 400

∴ The sum of the squares of the two smaller partitions is not

   equal to the square of the third partition

- To create the apartment in the shape of a right triangle he must

   have three partitions the sum of the squares of the two smaller

   partitions is equal to the square of the largest partition

∴ He can not create the apartment in the shape of a right triangle

No, he can not do it

Learn more:

You can learn more about the right triangles in brainly.com/question/4098846

#LearnwithBrainly

3 0
3 years ago
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