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3 years ago

The figure is a parallelogram. One diagonal measures 28 units.

Mathematics

1 answer:

Georgia [21]3 years ago

7 0

Answer:

It is not a rectangle

Step-by-step explanation:

A rectangle is a shape with 4 sides, such that we have two pairs of parallel sides, where the length of the parallel sides is equal.

so we have two parallel sides with length L and two parallel sides with length L'.

In this figure ,we can see two sides with length 20 and other two with length 21, and this is a rectangle only if the sides meet at 90°degree angles (this would mean that the opposite sides are parallel)

To see this, we can think that the triangle formed by the diagonal and two sides is a triangle rectangle, then using the Pythagorean theorem we should have that:

20^2 + 21^2 = 28^2

841 = 784

So this is not a triangle rectangle, meaning that the angle between the side of 20 and the side of 21 is not a right triangle, then the figure is not a rectangle.

Therefore, it is not a rectangle

Hope u understand

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Linda throws a dart that hits the square shown below: A square is drawn. A circle of radius 9 units touches the sides of the squ

nataly862011 [7]

Probability helps us to know the chances of an event occurring. The probability of Linda's dart hitting the circle is 0.7857.

<h3>What is Probability?</h3>

The probability helps us to know the chances of an event occurring.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

As it is given that the circle touches the sides of the square. therefore, the length of the side of the square is the diameter of the circle.

Now, in order to calculate the probability that the dart hits a point in the circle we need to calculate the area of the circle and the area of the square.

Area of the circle with a given radius of 9 units,

$\text{Area of the circle} = \pi r^2$

$\rm = \pi \times (9^2)\\\\= 81\pi\ units^2$

Area of the square with sides equal to the diameter of the circle,

$\rm \text{Area of square} = side^2$

$\rm = Diameter ^2\\\\= (2 \times radius)^2\\\\= (2 \times 9)^2\\\\= 18^2\\\\= 324\ units^2$

Now, the probability that the dart hits a point in the circle can be written as,

$\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\\\Probability=\dfrac{\text{Area of the circle}}{\text{Area of square}}\\\\\\Probability=\dfrac{81 \pi}{324} = 0.7857$

Hence, the probability of Linda's dart hitting the circle is 0.7857.

Learn more about Probability:

brainly.com/question/795909

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2 years ago

Oliver runs for 7 more minutes than Bobby. The equation v = 7 + b, where v represents the number of minutes Oliver runs, and b r

PilotLPTM [1.2K]

Answer:

27 minutes.

Step-by-step explanation:

We have been given that Oliver runs for 7 more minutes than Bobby. The equation $v=7+b$ , where v represents the number of minutes Oliver runs, and b represents the number of minutes Bobby runs, shows this relationship. We are asked to find number of minutes for which Bobby run, if Oliver runs 34 minutes.

To solve our given problem, we will substitute $v=34$ in our given equation as:

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Upon subtracting 7 from both sides, we will get:

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