1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tatiyna
2 years ago
9

A sprinkler mounted on the ground sends out a jet of water at a 30o angle to the horizontal. The water leaves the nozzle at a sp

eed of 12 m/s. (a) How far does the water travel before it hits the ground?

Mathematics
1 answer:
dsp732 years ago
5 0

Answer:

12.7m

Step-by-step explanation:

The equation for motion to be used to find how far the water travels is

xf = xi + Vix(t) + 1/2axt^2

xf = 0 + ViCos α(t) + 0

xf = ViCosα(t)

xf = 12 Cos 30°(t)

xf = (6√3)t

To find the total times we will use the vertical displacement equation

yf = yi + Viy(t) + 1/2ayt^2

0 = 0 + ViSinα(t) + (1/2 * (-9.8)t^2)

0 = 12Sin30°(t) - 4.9t^2

4.9t^2 = 12Sin30°(t)

4.9t^2 = 6t

Divide through by t

4.9t = 6

t = 6/4.9

t = 1.22secs

Put t = 1.22 into (6√3)t

xf = 6√3 * 1.22

xf = 12.7m

You might be interested in
From the sample space S​={1,2,3,4,...,15} a single number is to be selected at random. Given the following​ events, find the ind
marshall27 [118]

The probabilities of the given events are:

A. P(even) = P(A) = 7/15

B. P(multiple) = P(B) = 3/15

C. P(prime) = 6/15

D. P(B|A) = 3/7

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favorable outcomes of an event to the total number of possible outcomes.

P(E) = n(E)/n(S)

<h3>Calculation:</h3>

The given sample space is S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

So, n(S) = 15

A. The selected number is even:

Consider the event as A.

The set of even numbers in the given sample is {2,4,6,8,10,12,14}

So, n(A) = 7

Then, the required probability is

P(A) = n(A)/n(S)

       = 7/15

B. The selected number is a multiple of 4:

Consider the event as B.

The set of multiples of 4 in the given sample is {4,8,12}

So, n(B) = 3

Then, the required probability is

P(B) = n(B)/n(S)

       = 3/15

C. The selected number is prime:

Consider the event as C.

The set of prime numbers in the given sample is {2,3,5,7,11,13}

So, n(C) = 6

Then, the required probability is

P(C) = n(C)/n(S)

       = 6/15

D. calculate P(B|A):

Since events B and A are dependent events of the same sample,

n(A∩B) = 3 and the set is {4,8,12}. Then, P(B|A) is

P(B|A) = n(A∩B)/n(A)

⇒ P(B|A) = 3/7

Learn more about the probabilities here:

brainly.com/question/251701

#SPJ1

7 0
1 year ago
Pls answer this pls pls pls btw I go to cmm
Thepotemich [5.8K]

Answer:

Mile = length

Cup = Volume

Pound= Mass

Centimeter = length

Liter = volume

Gram = mass

pint = volume

yard=length

kilogram=mass

teaspoon=volume

millimeter=length

Step-by-step explanation:

4 0
3 years ago
Which of the following is the minimum value of the equation y=2x^2+5
sweet-ann [11.9K]
Plug in 0 for x and you get 5. Which is your answer :)
7 0
3 years ago
Which solid has zero faces, zero bases, zero vertices, and zero edges?
svlad2 [7]
The only solid <span>zero faces, zero bases, zero vertices, and zero edges is a sphere. The reason why is because it's just round, and it doesn't have anything, just a sphere. 

Have a nice day! :)</span>
3 0
3 years ago
Read 2 more answers
Stephanie has the same number of dimes and nickels. She has $6.10 in all. Write an equation that you could use to find the numbe
Igoryamba

Answer:

The equation is

15x = 610

Step-by-step explanation:

A dime is 10 cents while a nickel is 5 cents

$6.10 is same as 610 cents

Let the number of dimes and number of nickels be x

10x + 5x = 610

15x = 610

5 0
2 years ago
Other questions:
  • Which of the following algebraic expressions does not represent the word phrase, "a number times five"?
    12·1 answer
  • Simplify:<br>(2 + i) - (-3+9i)​
    14·1 answer
  • -FREE POINTS -A cartoon lasts 18 minutes .How many seconds is the cartoon?
    12·2 answers
  • 2. Circle the name of the triangle: isosceles, equilateral, scalene, right​
    8·2 answers
  • The axis of symmetry for this parabola<br><br> Y equals -5xsquared plus 10x-14
    15·1 answer
  • Place the indicated product in the proper location on the grid.<br> (2a^x+1/2b^x)^2
    9·2 answers
  • Cos(arctanx-arcsin(x/sqrt2)=0 solve for x
    5·1 answer
  • Please help!!! Please!!!​
    7·1 answer
  • Triangle CDE and triangle CGH are drawn below, which methods are used to map onto each other. Please help i have two hours to an
    7·1 answer
  • What is the sum of −2.8 and +3.6?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!