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Leni [432]
3 years ago
15

The length of a shadow of a building is 26 m. The distance from the top of the building to the tip of the shadow is 37 m. Find t

he height of the building.
Mathematics
1 answer:
Juliette [100K]3 years ago
3 0

Answer:

26.3 m

Step-by-step explanation:

The length of a shadow of a building is 26 m. The distance from the top of the building to the tip of the shadow is 37 m. Find the height of the building.

We solve the above question using Pythagoras theorem

c² = a² + b²

Where

c = Longest part of the triangle = 37 m

a = Height of the triangle = ?

b = Length of the shadow = 26 m

Hence:

37² = a² + 26²

a² = 37² - 26²

a = √37² - 26²

a = √(693)

a = 26.324893162m

Approximately = 26.3 m

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Answer:

\large\boxed{y=\dfrac{-9x-2}{5}}

Step-by-step explanation:

9x+5y=-2\qquad\text{subtract}\ 9x\ \text{from both sides}\\\\5y=-9x-2\qquad\text{divide both sides by 5}\\\\y=\dfrac{-9x-2}{5}

3 0
3 years ago
200 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 200 students
True [87]

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
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I still owe you 8 dollars which is portrayed as -8

Hope this helps :)

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