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Zanzabum
3 years ago
9

Solve 5 ÷ 4. Express your answer as a mixed number.

Mathematics
1 answer:
Georgia [21]3 years ago
8 0

use photomath

5/4

1 whole

1 1/4

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The table shows the record monthly high and low temperatures for a city in Alaska.
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3 years ago
True or False (& Justify): If a ball is thrown horizontally from the top edge of a 150m building at a speed of 25 m/sec, the
kap26 [50]

Answer:

38.6 m/s

Step-by-step explanation:

The motion of the ball is a projectile motion, which consists of two independent motions:  

- A uniform motion (constant velocity) along the horizontal direction  

- A uniformly accelerated motion, with constant acceleration (acceleration of gravity) in the downward direction  

Therefore we have to analyze the horizontal and vertical motion separately.

Along the horizontal direction, the velocity is constant during the motion, since there are no forces acting in this direction. So the horizontal velocity 3 seconds after the launch will be the same as the velocity at the launch:

v_x = v_0 = 25 m/s

The vertical velocity instead changes according to the suvat equation:

v_y = u_y - gt

where

u_y=0 is the initial vertical velocity

g=9.8 m/s^2 is the acceleration due to gravity

t is the time

Therefore, after t = 3 s,

v_y=0-(9.8)(3)=-29.4 m/s

So the velocity after 3 seconds is < 25, -29.4 > m/s. The magnitude of the velocity is

v=\sqrt{v_x^2+v_y^2}=\sqrt{25^2+(-29.4)^2}=38.6 m/s

3 0
4 years ago
PLEASE HELP ME
krok68 [10]
<h3>#29</h3>

<u>Find the value of x:</u>

  • 7x - 2 = 55 + 4x (as corresponding angles)
  • 7x - 4x = 55 + 3
  • 3x = 57
  • x = 19

<u>Find the value of y:</u>

  • y = 7x - 2 (as alternate exterior angles)
  • y = 7*19 - 2
  • y = 131
<h3>#30</h3>

<u>Find the value of x:</u>

  • 14x - 34 = 9x + 1 (as alternate interior angles)
  • 14x - 9x = 1 + 34
  • 5x = 35
  • x = 7

<u>Find the value of y:</u>

  • y + (9x + 1) = 90 (as complementary angles)
  • y = 90 - 9*7 - 1
  • y = 26
4 0
3 years ago
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