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djverab [1.8K]
3 years ago
12

You've dropped your car keys at night off the end of a dock into water 1.6 m deep. a flashlight held directly above the dock edg

e and 0.50 m above the water illuminates the keys when it's pointed at 40° to the vertical. what is the horizontal distance x from the edge of the dock to the keys
Mathematics
1 answer:
Aleksandr [31]3 years ago
8 0
The total height from flash light to the keys is 1.6 + 0.5 = 2.1 meters

the vertical angle = 40 degrees

the horizontal distance =  2.1 x tan(40)

distance = 1.76 meters  ( round answer as needed )
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In an auditorium, a charity show is conducted in order to raise at least $3,750. The auditorium can accommodate up to 180 specta
Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

Let x,\ x\ge 0 be the number of students and y,\ y\ge 0 be the number of adults on the show.

1. Tickets cost $15 for students, so x student tickets cost $15x.

Tickets cost $25 for adults, so y adult tickets cost $25y.

Total cost of all tickets is $(15x + 25y).

The charity show is conducted in order to raise at least $3,750, thus

15x+25y\ge 3,750

2. The auditorium can accommodate up to 180 spectators, hence

x+y\le 180

3. We get the system of inequalities:

\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise \$(15\cdot 50+25\cdot 125)=\$3,875

8 0
3 years ago
Jenn buys 4 balls of yarn for a total of $23.78. She pays with two $20 bills. What is her change?
tamaranim1 [39]
Her change will be $16.22 since 20 +20 is 40 and 40 - 23.78 is 16.22
3 0
3 years ago
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What is the value of x
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17+5x-14=3+5x
divide it by 2
3+5x ÷2=median
(3+5x)/2=x+12
3+5x=2x+24
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Answer is D=7

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3 years ago
What is m angle A?<br><br> ____degrees
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Glad could help
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2 years ago
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7. A large population of ALOHA users manages to generate 60 requests/s, including originals and retransmissions. Time is slotted
Debora [2.8K]

Answer:

P(success at first attempt) = 0.1353

Step-by-step explanation:

This question follows poisson distribution. Thus, the formula is;

P(k) = (e^(-G) × (G)k)/k!

where;

G is number of frames generated in one frame transmission time(or frame slot time)

Let's find G.

To do this, we need to find number of frames generated in 1 slot time which is given as 50 ms.

Now, in 1000 ms, the number of frames generated = 50

Thus; number of frames generated in 50 ms is;

G = (50/1000) × 50

G = 2.5

To find the chance of success on the first attempt will be given by;

P(success at first attempt) = P(0) = e^(-G) = e^(-2) = 0.1353

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2 years ago
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