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vampirchik [111]
3 years ago
12

A skateboarder holds onto a circular merry-go-round, which is a certain distance away from a padded wall. The platform of the me

rry-go-round has a 7 -foot radius and makes a complete revolution, spinning counterclockwise, every 6 seconds. Assume the point at which the merrygo-round is the shortest distance from the wall is 12 o'clock. The skateboarder lets go of the merry-go-round at the 2 o'clock position, at which time they are 29 feet from the padded wall. How long will it take the skateboarder to hit the wall?
Given the same merry-go-round, assume the skateboarder lets go at the 4 o'clock position. How long will it take the skateboarder to hit the wall?
Mathematics
1 answer:
Drupady [299]3 years ago
8 0

Answer:

.

Step-by-step explanation:

.

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Jenna drew irregular quadrilateral ABCD inscribed in circle P. She knows that: m∠3=2⋅m∠1, and m∠2=2⋅m∠4, and m∠2+m∠3=360°. What
Mrrafil [7]

Answer:

The generalisation she can make from her work is that the other two angles of the quadrilateral are supplementary i.e their sum is 180°

Step-by-step explanation:

We are given the following from what she knows

m∠3=2⋅m∠1... 1

m∠2=2⋅m∠4 ... 2

m∠2+m∠3=360 ... 3

From what is given, we can substitute equation 1 and 2 into equation 3 as shown:

From 3:

m∠2+m∠3=360

Substituting 1 and 2 we will have:

2⋅m∠4 + 2⋅m∠1 = 360

Factor out 2 from the left hand side of the equation

2(m∠4+m∠1) = 360

Divide both sides by 2

2(m∠4+m∠1)/2 = 360/2

m∠4+m∠1 = 180°

Since the sum of two supplementary angles is 180°, hence the generalisation she can make from her work is that the other two angles of the quadrilateral are supplementary i.e their sum is 180°

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The slope of line passing through the points (1, -5) and (4, 1) is 24

Step-by-step explanation:

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Given points are:

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(x2,y2) = (4,1)

The slope is denoted by m. The formula for slope is:

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The slope of line passing through the points (1, -5) and (4, 1) is 2

Keywords: Slope, Calculation of slope

Learn more about slope at:

  • brainly.com/question/4770453
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#LearnwithBrainly

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Answer:

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