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trapecia [35]
3 years ago
15

I need help with question number one please help?

Mathematics
1 answer:
Kisachek [45]3 years ago
5 0
1) Area of trapezoid =1/2(base 1 +base 2)* height

A= \frac{23 \frac{1}{3}+4 \frac{2}{3}  }{2} *(12 \frac{3}{4} ) =  \frac{27 \frac{3}{3} }{2} *( \frac{51}{4} ) =  \frac{28}{2} * \frac{51}{4} =  \frac{7*51}{2} = \frac{357}{2} =178 \frac{1}{2}  x^{2}

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A student pushes a 51.5 kilogram bookshelf across a smooth floor with a net force of 67 N.
iren [92.7K]

The acceleration of the bookshelf is equal to 1.30 m/s^2

<u>Given the following data:</u>

  • Mass of bookshelf = 51.5 kilogram
  • Net force = 67 Newton

To determine the acceleration of the bookshelf, we would apply Newton's Second Law of Motion:

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on the object while being inversely proportional to its mass.

Mathematically, Newton's Second Law of Motion is given by this formula;

Acceleration = \frac{Net\;force}{Mass}

Substituting the given parameters into the formula, we have;

Acceleration = \frac{67}{51.5}

Acceleration = 1.30 m/s^2

Read more on net force here: brainly.com/question/1121817

7 0
2 years ago
A wrestling match has eliminations each round. The table below shows the number of wrestlers in each of the first 4 rounds of th
AlladinOne [14]
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55 over 3, or 55 wrestlers for every 3 rounds, but the wrestlers value is negative, thus 55 "less" wrestlers for every 3 rounds on average.
6 0
3 years ago
Read 2 more answers
The value of a professional basketball players autograph rose 30% in the last year It is now worth $338.00 What was it worth a y
Archy [21]
Estimated about $224.00
7 0
3 years ago
Appreciate answers and any help!
Savatey [412]

To find the expected value of the distribution, we multiply each outcome by it's probability. Doing this, we get that the expected value of defects on a skateboard is of \frac{4}{25}.

Outcomes and probabilities:

0 defects, 9/10 probability

1 defect, 1/20 probability

2 defects, 1/25 probability

3 defects, 1/100 probability.

Expected value:

E(X) = 0\frac{9}{10} + \frac{1}{20} + 2\frac{1}{25} + 3\frac{1}{100} = \frac{1}{20} + \frac{2}{25} + \frac{3}{100} = \frac{5 + 8 + 3}{100} = \frac{16}{100}

Dividing both numerator and denominator by 4:

\frac{4}{25}

Thus, the expected value of defects on a skateboard is of \frac{4}{25}.

A similar problem is given at: brainly.com/question/23156292.

4 0
3 years ago
How many solutions does the equation below have.<br> *The answer choices are below*
Natali [406]
<h3>Answer: D) One solution</h3>

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

Work Shown:

2(b+3)-17 = 3b-7+b

2b+6-17 = 4b-7

2b-11 = 4b-7

-11+7 = 4b-2b

-4 = 2b

2b = -4

b = -4/2

b = -2

There is one solution and it is b = -2

A quick way to tell we have one solution is to note that both sides are a linear expression, and that the slopes of each linear expression are different values. If you had two lines with the same slope, then you'd have either parallel lines or coinciding lines (leading to no solutions and infinitely many solutions respectively). When you have two lines with two different slopes, then they are guaranteed to intersect only once. That intersection point is the solution.

5 0
2 years ago
Read 2 more answers
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