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oksano4ka [1.4K]
3 years ago
14

The space shuttle releases a space telescope into orbit

Mathematics
1 answer:
sergey [27]3 years ago
4 0

Answer: 68 m/s^{2}

Step-by-step explanation:

The acceleration a of the satellite can be calculated by the following equation:

V_{f}=V_{o}+at

Where:

V_{f}=1700 m/s is the final speed of the satellite

V_{o}=0 is the initial speed of the satellite (it was "stationary" before the release)

t=25 s is the time

Isolating a:

a=\frac{V_{f}}{t}

a=\frac{1700 m/s}{25 s}

Finally:

a=68 m/s^{2}

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Answers:

x = 100

y = 25

==============================================================

Explanation:

Angle y and the 25 degree angle are corresponding angle. Because the lines are parallel, this means that y = 25

Check out the attached image. Using a red pen, I extended one of the lines to form a triangle. From the alternate interior angle theorem, we know that one of the angles of the triangle is 75 degrees (alternate interior angles are congruent). Again this stems from the fact that the lines are parallel.

I've also introduced the variable z to help find x. The angles x and z add up to 180 degrees since they form a straight line. So we need to find z before we can find x.

The triangle's angles 25, 75, z add up to 180. Let's solve for z

25+75+z = 180

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z = 180-100

z = 80

Use this to find x

x+z = 180

x+80 = 180

x = 180-80

x = 100

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