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velikii [3]
2 years ago
9

Jamar and Peggy live on opposite sides of a park. Peggy counted how many steps it takes her to get from her house to Jamar's hou

se. She walks 52 steps west and 81 steps south. A. If she could just walk on a path directly from her house to Jamar's house, how many steps would it take? B. Approximately how many steps shorter would the direct route be?
Mathematics
1 answer:
creativ13 [48]2 years ago
7 0

Answer:

A.96.25 steps.  B. Approximately 37 steps shorter

Step-by-step explanation:

From Pythagoras theory,

Hyp² = Adj² + Opp²

Hyp² = 52² + 81²

Hyp² = 2704 + 6561

Hyp² = 9265

Hyp = √9265

Hyp = 96.25 steps

= 81 + 52 = 133 - 96.25

= 36.75 or approximately 37 steps shorter

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The students in a college marching band are arranged in rows. The recursive rule f(n) = f(n − 1) + 8 and f(1) = 13 gives the num
anzhelika [568]

Answer:

There are 24 more trumpet players than clarinet players

Step-by-step explanation:

The given information are;

The recursive rule or the number of band members in a row is f(n) = f(n - 1) + 8

Where f(1) = 13

The members of the band players in row 1 = The clarinet players

The members of the band players in row 4 = The trumpet players

Therefore, the number of clarinet players = f(1) = 13

The number of band members in row 2, f(2)  = f(1) + 8 = 13 + 8 = 21

The number of band members in row 3, f(3)  = f(2) + 8 = 21 + 8 = 29

The number of band members in row 4, f(4)  = f(3) + 8 = 29 + 8 = 37

Therefore, given that the trumpet players are in row 4, the number of trumpet players = The number of band members in row 4 = 37 Trumpet players

The difference in the number of trumpet and clarinet = The number of more trumpet players than clarinet players = 37 - 13 = 24 more trumpet players than clarinet players

There are 24 more trumpet players than clarinet players.

3 0
3 years ago
Plz Help! 30 Points!
Ira Lisetskai [31]
45.2 is the constant hope this helps! please give branliest
4 0
2 years ago
Read 2 more answers
- (3 x 100) + (7 x 10) + (4 x D) + (2 x 100)​
Vlad1618 [11]

Answer:

70 + 4D

Step-by-step explanation:

- (2 x 100) + (7 x 10) + (4 x D) + (2 x 100)

   - (200) + (70) + 4D + 200

       -200 + 70 +4D + 200

             -130 + 4D + 200

                   70 + 4D

5 0
2 years ago
Please help me find y and show work/steps. I don't know how to do it
trasher [3.6K]

We will check if y and 60cm are parallel.

If the lengths 28cm, 56cm and 15cm, 30cm are in proportion, then y and the segment 60cm are parallel.

\dfrac{56}{28}=\dfrac{30}{15}\\\\2=2\qquad CORRECT!

OK. We know: y and 60cm are parallel. Therefore we have equation:

\dfrac{y}{28+56}=\dfrac{60}{56}\\\\\dfrac{y}{84}=\dfrac{15}{14}\qquad|\text{cross multiply}\\\\14y=15\cdot84\qquad|\text{divide both sides by 14}\\\\y=90cm

<h3>Answer: y = 90 cm.</h3>
5 0
3 years ago
Read 2 more answers
Use the graph to fill in the blank with the correct number.
Vikki [24]

Answer:

f(0) = 1

Step-by-step explanation:

f(0) means what is the value of y when x = 0

from the diagram this is the point (0, 1 ) , then

f(0) = 1

4 0
2 years ago
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