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2 years ago

5.

Mathematics

1 answer:

andrew-mc [135]2 years ago

4 0

Answer:

The angle of depression from Platform A to Platform B is $43.1^{\circ}$

Step-by-step explanation:

Refer the attached figure

The horizontal distance between the platforms is 500 feet i.e. BC = 500

The length of the zip-line is 685 feet i.e. AB = 685

We are supposed to find the angle of depression from Platform A to Platform B

Hypotenuse = 685

Base = 500

$Cos \theta = \frac{Base}{Hypotenuse}\\Cos \theta = \frac{500}{685}\\\theta = cos^{-1}(\frac{500}{685})\\\theta = 43.11^{\circ}$

Hence the angle of depression from Platform A to Platform B is $43.1^{\circ}$

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A university warehouse has received a shipment of 25 printers, of which 10 are laser printers and 15 are inkjet models. If 6 of

Tanya [424]

Answer:

The probability is 0.31

Step-by-step explanation:

To find the probability, we will consider the following approach. Given a particular outcome, and considering that each outcome is equally likely, we can calculate the probability by simply counting the number of ways we get the desired outcome and divide it by the total number of outcomes.

In this case, the event of interest is choosing 3 laser printers and 3 inkjets. At first, we have a total of 25 printers and we will be choosing 6 printers at random. The total number of ways in which we can choose 6 elements out of 25 is $\binom{25}{6}$ , where $\binom{n}{k} = \frac{n!}{(n-k)!k!}$ . We have that $\binom{25}{6} = 177100$

Now, we will calculate the number of ways to which we obtain the desired event. We will be choosing 3 laser printers and 3 inkjets. So the total number of ways this can happen is the multiplication of the number of ways we can choose 3 printers out of 10 (for the laser printers) times the number of ways of choosing 3 printers out of 15 (for the inkjets). So, in this case, the event can be obtained in $\binom{10}{3}\cdot \binom{15}{3} = 54600$

So the probability of having 3 laser printers and 3 inkjets is given by

$\frac{54600}{177100} = \frac{78}{253} = 0.31$

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2 years ago

A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend

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Answer:

4-x/2

Step-by-step explanation:

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1 year ago

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The elevator of a high-rise office building provides access to all floors. if each floor is 5 meters high and the elevator trave

nadya68 [22]

Height of each floor = 5 meters
time to travel from the first floor to 68th floor = ?
Speed of elevator = 7.5m/s
While an elevator travels from 1st floor to 68th floor, we will multiply the height of floor with 67 to get the distance covered by the elevator form 1st floor to 68th floor, the height of 68th floor will not be counted in the distance because an elevator reaches the 68th floor not covered the height of that floor.
Distance = 5 x 67 = 335m
Now calculate the time by using the formula;
time = distance / speed
= 335m / 7.5m/s
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Thus, an elevator will take 44.667 seconds to reach 68th floor.

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1 year ago

A rope 20.6 meters long is cut into two pieces. If the length of one piece of rope is 2.8 meters shorter than the length of the

ss7ja [257]

Answer: Option 'E' is correct.

Step-by-step explanation:

Since we have given that

If the length of one piece of rope is 2.8 meters shorter than the length of the other.

Let the length of first piece be 'x'.

Let the length of second piece be 'x-2.8'

Total length of rope = 20.6

So, According to question, it becomes,

$x+x-2.8=20.6\\\\2x=20.6+2.8\\\\2x=23.4\\\\x=\dfrac{23.4}{2}\\\\x=11.7$

So, the greatest number of the length of part of rope is 11.7 m.

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1 year ago

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Well I will be 19×18= 342

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2 years ago