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Liono4ka [1.6K]
3 years ago
6

Please Help!

Mathematics
1 answer:
Anna71 [15]3 years ago
6 0

9514 1404 393

Answer:

  51 square inches

Step-by-step explanation:

This can be considered a couple of ways:

  1. a 6 in × 7 in rectangle with a 6 in × 3 in triangle added on
  2. a 6 in × 13 in rectangle with a 6-in high trapezoid cut from the lower right corner.

The formulas for areas of these figures are ...

  A = 1/2bh . . . . area of triangle with base b and height h

  A = 1/2(b1 +b2)h . . . . area of a trapezoid with bases b1, b2, and height h

  A = bh . . . . . . . area of a rectangle with base b and height h

__

1. rectangle area = (6 in)(7 in) = 42 in²

  triangle area = 1/2(6 in)(3 in) = 9 in²

Total area of the figure:

  42 in² +9 in² = 51 in²

__

2. rectangle area = (6 in)(13 in) = 78 in²

  trapezoid area = 1/2(6 in + 3 in)(6 in) = 27 in²

Total area of the figure:

  78 in² -27 in² = 51 in²

The area of the composite shape is 51 square inches.

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The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consu
alisha [4.7K]

Answer:

a. How many employees accumulated less than 3,000 miles?

The number of employees accumulated less than 3,000 miles= 5

So the number of employees accumulated less than 3,000 miles is 5.

d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?

8.5 thousands of miles, found by starting at 75 percent on the vertical axis on the right, over to the polygon and then down to the horizontal axis.

Step-by-step explanation:

The given frequency distribution representing the number of frequent flier miles accumulated by the employees in a company.                        

Frequent Flier Miles (000) Frequency

0                     up to 3 5

3                      up to 6 12

6                      up to 9 23

9                     up to 12 8

12                   up to 15 2

Total                       50

a. How many employees accumulated less than 3,000 miles?

The number of employees accumulated less than 3,000 miles= 5

So the number of employees accumulated less than 3,000 miles is 5.

b. Convert the frequency distribution to a cumulative frequency distribution.

We make the cumulative frequency distribution from the frequency distribution by adding up a frequency and all other frequencies below it.                

Frequent Flier Miles Frequency Cumulative frequency

0 up to 3                                5 5

3 up to 6                                      12 17

6 up to 9                                      23 40

9 up to 12                               8 48

12 up to 15                               2 50

Total 50

d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?

8.5 thousands of miles, found by starting at 75 percent on the vertical axis on the right, over to the polygon and then down to the horizontal axis.

8 0
3 years ago
Solve for x check your solution
abruzzese [7]
Area for a triangle is (1/2) bh or bh/2
So using this info, b = 1.5 m and h = x and A = 1.5 m^2

A = bh/2
1.5 = 1.5x/2
Multiply both sides by 2 to get rid of fraction ... 3 = 1.5x
Divide both sides by 1.5 ... 2 = x so x= 1.5 m
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What is a polygon with four right angles and four sides
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a square ///////////

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