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Lynna [10]
3 years ago
12

The string of a kite is 100 meters long and it makes an angle of 60° with the ground. What is the height of the kite?

Mathematics
1 answer:
Alisiya [41]3 years ago
7 0

Answer:

86.5 m

Step-by-step explanation:

Length of the string forms the hypotenuse AC of right angle triangle ABC.

C is the kite. A is the hand of the person (or, one end of the string).  CB is the perpendicular (height of the kite ) from C on the ground.  BC is the horizontal.

Sin 60° = CB/AC = √3/2

                height = 1.73/2 * AC = 0.865 * 100 m = 86.5 m

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Developed nations make up about percent of the world s population and consume about percent of its resources.
Pepsi [2]
The answer is A, developed nations make up about 20 percent of population yet consume 75 percent of sources.
6 0
3 years ago
Many states run lotteries to raise money. A website advertises that it knows​ "how to increase YOUR chances of Winning the​ Lott
Crank

Complete question is;

Many states run lotteries to raise money. A website advertises that it knows "how to increase YOUR chances of Winning the Lottery." They offer several systems and criticize others as foolish. One system is called Lucky Numbers. People who play the Lucky Numbers system just pick a "lucky" number to play, but maybe some numbers are luckier than others. Let's use a simulation to see how well this system works. To make the situation manageable, simulate a simple lottery in which a single digit from 0 to 9 is selected as the winning number. Any value can be​ picked, but for this​ exercise, pick 1 as the lucky number. What proportion of the time do you​ win?

Answer:

10%

Step-by-step explanation:

We are told that To make the situation manageable, simulate a simple lottery in which a single digit from 0 to 9 is selected as the winning number.

This means the total number of single digits that could possibly be a winning one is 10.

Since we are told that only 1 can be picked, thus;

Probability of winning is; 1/10 = 0.1 or 10%

5 0
3 years ago
Five years ago I was 5 times older than my son. In 8 years’ time I will be 3 times older than my son. How old am I today?
o-na [289]

Let x = Parent's age now  y = son's age now

Then, x-5 = parent's age five years ago

        y-5 = son's age five years ago

     So, x-5 = 5(y-5)

          Simplify to get x - 5y = -20

Parent's age 8 years from now = x+8

Son's age 8 years from now = y+8

    So, x+8 = 3(y+8)

           Simplifying, we have x - 3y = 16

We have the system of equations:  x - 5y = -20

                                                  x - 3y = 16

Subtract the equations to obtain -2y = -36

                                                  y = 18

                                                  x = 70

Parent is 70 years old and the son is 18 years old.  

6 0
3 years ago
Read 2 more answers
Hannah is asked to convert the number 0.00000305 to scientific notation. Her answer is 3.05 × 106. Which statement best describe
Sophie [7]

Answer: if u mean 3.05 x 10^6 then Hannah is correct.

Step-by-step explanation:

With scientific notations you should have one number on the left side of the decimal so 3.05 is correct and since you move the decimal to the right six times you would get 3.05 * 10^6

6 0
3 years ago
There are 7 acts in a talent show.
lara31 [8.8K]

Answer:

<u><em></em></u>

  • <u><em>Event A: 1/35</em></u>
  • <u><em>Event B: 1/840</em></u>

<u><em></em></u>

Explanation:

<u>Event A</u>

For the event A, the order of the first 4 acts does not matter.

The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.

Thus, the number of ways that the first <em>four acts</em> can be scheduled is:

          C(m,n)=\dfrac{m!}{n!(m-n)!}

         C(7,4)=\dfrac{7!}{4!(7-4)!}=\dfrac{7!}{4!(3)!}=35

And<em> the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order</em>, is 1: C(4,4).

Therefore the<em> probability of Event A</em> is:

           P(A)=1/35

Event B

Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.

The number of ways in which <em>four acts </em>can be scheculed when the order matters is:

           P(m,n)=\dfrac{m!}{(m-n)!}

         P(m,n)=\dfrac{7!}{(7-4)!}=P(m,n)=\dfrac{7!}{4!}=840

The number of ways <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)

Therefore, <em>the probability of Event B</em> is:

            P(B)=1/840

7 0
3 years ago
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