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melamori03 [73]
3 years ago
8

Work out the area of this shape

Mathematics
1 answer:
Bumek [7]3 years ago
6 0

Answer:

75.5

Step-by-step explanation:

First, the picture is not to scale.

The Area of the bottom (2) rectangle is 33

base x height = A

11 x 3 = 33      (where did I get 3? Total height of shape is 8. Trapezoid is 5)

                      (8-5 = 3)

Area of the trapezoid:

A = \frac{h (B_{1} + B_{2}) }{2}

  =  \frac{(5)(6 + 11)}{2}

  =  \frac{5(17)}{2}

  = \frac{85}{2}

  = 42.5

42.5 + 33 = 75.5

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A person walks 14 mile in 18 hour.<br><br> The person's speed is <br> miles per hour.
gulaghasi [49]

Answer:

\frac{7}{9} of a mile per hour

0.77777778 of a mile per hour

Step-by-step explanation:

\frac{y}{14} :\frac{1}{18}

y · 18 = 1 · 14

18y = 14

18y ÷ 18 = 14 ÷ 18

y=\frac{7}{9}

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3 years ago
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68 more than the quotient of an unknown number and 54 is 72.
Andru [333]
68 + (x / 54) = 72 68 + (x / 54) • 54 = 72 • 54 68 + x = 72 • 54 68 + x = 3,888 68 + x - 68 = 3,888 - 68 x = 3,888 - 68 x = 3,820 I'm pretty sure this is right. Good luck!
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Michelle wants to save $150 for a trip to the Six Flags amusement park. if she saves $12 each week, how many weeks will it take
Vadim26 [7]
Since 150 is the total and 12 is per week you can actuality do this equation

T= Total,150$ W=Amount saved,12$


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200 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 200 students
dedylja [7]

Answer:

  • <u><em>P(M) = 0.4</em></u>

Explanation:

<u>1. Build a two-way frequency table:</u>

To have a complete understanding of the scenary build a two-way frequency table.

  • <u>Column and rows:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total

  • <u>200 students:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total                                                                                      200

  • <u>80 plan to major in mathematics:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total                              80                                                   200

  • <u>100 plan to major in computer science</u>:

                                  Major in math    No major in math  Total

Major in CS                                                                           100

No major in CS

Total                              80                                                   200

  • <u>30 plan to pursue a double major in mathematics and computer science</u>:

                                  Major in math    No major in math  Total

Major in CS                  30                                                      100

No major in CS

Total                              80                                                    200

  • <u>Complete the missing numbers by subtraction</u>:

                                  Major in math    No major in math  Total

Major in CS                   30                              70                 100

No major in CS                                                                     100

Total                              80                             120                200

                                  Major in math    No major in math  Total

Major in CS                   30                              70                 100

No major in CS             50                              50                 100

Total                              80                             120                200

<u>2. What is P(M), the probability that a student plans to major in mathematics?</u>

  • P(M) = number of students who plan to major in mathematics / number of students

  • P(M) = 80 / 200 = 0.4
5 0
4 years ago
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