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3 years ago

PQ is parallel to RS. PR and QS are perpendicular to PQ and RS.

Mathematics

2 answers:

katovenus [111]3 years ago

8 0

Answer:

1.1

Step-by-step explanation:

galina1969 [7]3 years ago

7 0

When two lines are parallel, the perpendicular distance between them is the same all through the way and the angles formed between the parallel lines and the perpendicular ones joining them is equal to 90 degree.
Example of this is the square or the rectangle as shown below:
AB || BC and both AD and BC are perpendicular on the two lines.
Accordingly, the two perpendicular lines are equal
Based on this, the ratio of PR and QS is 1:1

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Find the probability that a randomly selected point within the circle falls in the red shaded area (square). Round to the neares

Fantom [35]

Answer:

probability of selecting the square is 63.7% approximately

Step-by-step explanation:

First of all, the probability of the point of choice is within the red square can be obtained with this formula

probability = expected outcome / total number of possible outcomes

In this case, we are not dealing with discrete values which can be counted. instead, we are dealing with areas.

We are to go about this problem by finding the area of the internal square and dividing it by the area of the circle.

Area of the square

Area of the square = $l^2$

where length = $4\sqrt{2}$

Area = $(4\sqrt{2}) ^2 = 32cm^2$

Area of the circle

Area of the circle = $\pi r^2$

area of circle = $\pi \times 4^2 =50.26cm^2$

Probablity of selecting the square =

32/50.26 = 0.6366

To express this as a percentage, we multiply our answer by 100.

This will give us 0.6366 X 100 = 63.7% approximately

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3 years ago

Which explains, on a given day, which island is more likely to have a wind speed close to its median?

TiliK225 [7]

Answer:

Step-by-step explanation:rocky mountains

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3 years ago

Read 2 more answers

The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate,

Stella [2.4K]

Answer:

$P_4 = 7604.08$

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

$P_1 = P_0 + 0.04P_0$

Where $P_0$ is the initial population and $P_n$ is the population in year n

In year 2

$P_2 = P_1 + 0.04P_1$

It can also be written as:

$P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)$

Taking out common factor $P_0$

$P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)$

Taking out common factor (1 + 0.04)

$P_2 = (1 + 0.04) (P_0 + 0.04P_0)$

Taking out again common factor $P_0$

$P_2 = (1 + 0.04) (1 + 0.04) P_0$

Simplifying

$P_2 = P_0 (1 + 0.04) ^ 2$

$P_n = P_0 (1 + 0.04) ^ n$

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

$P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08$

3 0

3 years ago

1. Ramesh ordered 10 cartons of chocolates to distribute among the class. Each carton holds 20 boxes and each box has 12 chocola

Pie

Answer:

1 box has 12 chocolates

thus 20 boxes have ( 20 * 12) = 240 chocolates

1 carton has 240 chocolates (20box)

10 cartons have 240 * 10 = 2400 chocolates

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2 years ago

4x find the degree with steps

Alex787 [66]

9514 1404 393

Answer:

Step-by-step explanation:

The term has 1 variable, which has no exponent shown. When the exponent is not shown, it is understood to be 1. The degree of the term is the exponent of this single variable, so the degree is 1.

_____

<em>Additional comment</em>

If the term is a product of more than one variable, the degree is the sum of their exponents.

3 0

2 years ago