El caño de una fuente está inclinado 60° sobre la horizontal. Si el agua sale del caño con una velocidad inicial de 10 m/s: a) ¿Qué dibujo forma el chorro de agua? B) ¿Qué altura máxima alcanza el agua? C) ¿A qué distancia del caño hay que colocar el sumidero? D) ¿Cuál es el módulo de la velocidad del agua cuando esta cae al sumidero
Answers
Answer:
A) Parabola; B) 3.83 m; C) 8.84 m; D) 10 m/s
Step-by-step explanation:
A) Shape of water jet
The water jet has the shape of a parabola.
B) Maximum height
Data:
θ = 60°
u = 10 m/s
a = 9.8 m·s⁻²
Calculations:
1. Calculate the horizontal and vertical components of the velocity
[tex]u_{\text{h}} = u \cos \theta = \text{10 m/s} \times \cos 60 ^{\circ} = \text{10 m/s} \times 0.5 = \text{5 m/s}\\u_{\text{v}} = u \sin \theta = \text{10 m/s} \times \sin 60 ^{\circ} = \text{10 m/s} \times 0.866 = \text{8.66 m/s}[/tex]
2. Maximum height
[tex]H = \dfrac{(u_{\text{v}})^{2}}{2a} = \dfrac{8.66^{2}}{2\times 9.8} =\textbf{3.83 m}[/tex]
C) Range
1. Calculate the time of flight
Use the vertical component of velocity to calculate the time to the maximum height of the stream.
[tex]u_{\text{v}} = at\\t = \dfrac{ u_{\text{v}}}{a} = \dfrac{\text{8.66 m$\cdot$s}^{-1}}{\text{9.8 m$\cdot$s}^{-2}}= \text{0.884 s}[/tex]
It will take the same time to reach the ground.
Thus,
Time of flight = 2t = 2 × 0.884 s = 1.77 s
2. Calculate the horizontal distance
s = vt = 5 m·s⁻¹ × 1.77 s = 8.84 m
You should place the drain 8.84 m from the pipe.}
D) Modulus of velocity
The stream of water will hit the drain with the same velocity as when it left the pipe.
Thus, the modulus of the velocity is 10 m/s.
The graph below shows the trajectory of the water stream.
Related Questions
To mail a letter first class, the us postal service charges $0.34 for the first ounce and $0.21 for each additional ounce. What will be the weight of a letter costing 5.76?
Answers
Answer:
25.599
I think
Step-by-step explanation:
if its right can u please give me the brainilest
Gloria has a $125,000 home financed with a 30-year loan at 6%. If she wished to pay one extra monthly payment each year, how many months will t take her to pay off her mortgage?
Answers
Answer:
295 months
Step-by-step explanation:
You want to know the number of months required to pay off a 30-year loan of $125000 at 6% if an extra payment is made each year.
Number of paymentsThe number of payments required will depend on the actual payment schedule, and the way the lender computes interest due.
The attached calculation shows it takes 319 payments. The assumption is that they are evenly spaced at 13 payments per year (one every 4 weeks), and the interest is computed on the interval between payments.
Number of monthsIf 13 payments are made per year, the number of years it takes to pay off the loan will be ...
319/13 = 24 7/13
24 years and 7 months is 295 months.
__
Additional comment
If the first payment is made on Jan 28, and payments are made every 4 weeks, there will be 2 payments in Dec. That is, except for the last month of the year, there will be 1 payment per month.
If regular monthly payments are made, but one of the payments is doubled, the result may be different.
What is the volume of a sphere whose radius is 6 yards?
Answers
Answer:
[tex] 904.32 \: {yard}^{3} [/tex]
Step-by-step explanation:
[tex]V_{sphere} = \frac{4}{3} \pi {r}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times {6}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times 216 \\ \\ = \frac{4 \times 3.14 \times 216}{3} \\ \\ = \frac{2,712.96}{3} \\ = 904.32 \: {yard}^{3} [/tex]
Which of the following functions is graphed below?
Answers
Answer:
idk man if you want to add a picture click the paperclip thingy though
Please Help me solve it. Thanks in Advance!
Answers
Answer:
27π
Step-by-step explanation:
First, find the area as though the circle were complete.
A = πr²
A = π(6)²
A = 36π
Now, if you look at the diagram, you can see that the chunk missing forms a 90 degree angle. In a circle, there is 360 degrees in total. This means that only 3/4 of the circle is left. Multiply the area by 3/4.
36π × 3/4 = 27π
The area is 27π.
how to simplify y- 3/3 +12
Answers
Answer:
11+y
Step-by-step explanation:
3/3 evaluates to 1
Y-3/3 evaluates to y-1
So the answer is y-1
referring to the table below, are the events is female and owns a dog independent?
Answers
Answer:
No
Step-by-step explanation:
They are independent iff:
P(F & D) = P(F) × P(D)
15.278/100 = (55/100) × (27.778/100)
0.15278 = 0.125279 (false)
Therefore, not independent
Given the function
Calculate the following values
Answers
Answer: 1. F(-1)= 8(-1)-8
2. F(0)= 8(0)-8
3 F(2)= 8(2)-16
Step-by-step explanation:
i think i got some wrong i haven't these math [problem in a long time
CAN SOMEONE PLZ HELP ME
Answers
Answer:
the first one
4*10^12
Step-by-step explanation:
Answer:
4000000000
Step-by-step explanation:
(600000000) / (0.00015)
4000000000
4*10^12
If the size of a scale drawing is 50 x 36 cm and the scale factor is 5:1 what is the size of the actual object?
Answers
Answer:
50*30=1500
Step-by-step explanation:
How many kilograms are equivalent to 5 pounds
Answers
Answer:
approximately 2.26796
Step-by-step explanation:
this is bc 1kg is 2.205 lb. so 5 divided by 2.205
Solve using synthetic division.
(x2 + 3) ÷ (x − 1)
Answers
Answer:
2x+3 / x = 1
Step-by-step explanation:
correct answer.
Consider the two similar cylinders. The heights of both cylinders are given, along with the diameter of the smaller cylinder. What is the diameter
of the larger cylinder?
48 in
32 in
12 in
Figures not drawn to scale
А
28 inches
B
20 inches
18 inches
Answers
Answer:
18 inches
Step-by-step explanation:
Given: The heights of both cylinders are 48 inches and 32 inches. Diameter of the larger cylinder is 12 inches
To find: diameter of the larger cylinder
Solution:
Height of the larger cylinder (H) = 48 inches
Height of the smaller cylinder (h) = 32 inches
Diameter of the smaller cylinder (d) = 12 inches
Radius of the smaller cylinder (r) = d/2 =12/ 2= 6 inches
As two cylinders are similar, their heights and radii are proportional.
[tex]\frac{r}{h}=\frac{R}{H}\\\frac{6}{32}=\frac{R}{48}\\R=\frac{6}{32}\times 48=9\,\,inches[/tex]
Diameter of the larger cylinder = 2R = 2(9) = 18 inches
What is the area of the shaded region
Answers
Answer:
A≈28.27
Step-by-step explanation:
Solved for area
Shape: circle
Radius: 3cm
Formula: A=πr2
Answer: A≈28.27
Hope this helps.
Find the simple interest on 500 at 6% for 1 year
Answers
Answer:
Interest = $30
Step-by-step explanation:
Formula:
I = prt or I = p · r · t
So:
I = p r t
I = ($500)(.06)(1) <--- Just multiply all of these numbers and you get the final answer of:
Interest = $30.00 or just $30
x + 12.2 = 42.33
Please solve for x
Answers
☺ Please Mark Brainliest ☺
Answer:
x=30.13
Step-by-step explanation:
x + 12.2 = 42.33
-12.2 = -12.2
----------------------
x=30.13
Answer:
x=30.13
Step-by-step explanation:
i think idrk i put in my calculator and got this
wanna make me brainliest
complete the table of values fory=2x^2+x
Answers
Complete question:
y = 2x² + 2x - 3
x = -2 -1 0 1 2
Answer:
Complete table of values
x: -2 -1 0 1 2
y: 1 -3 -3 1 9
Step-by-step explanation:
Given;
y = 2x² + 2x - 3
To complete the table of values of the equation above, we substitute the value of x into the given equation and solve for y.
when, x = -2
y = 2(-2)² + 2(-2) - 3
y = 8 - 4 - 3
y = 1
when x = -1
y = 2(-1)² + 2(-1) - 3
y = 2 - 2 - 3
y = -3
when x = 0
y = 2(0)² + 2(0) - 3
y = 0 - 0 - 3
y = -3
when x = 1
y = 2(1)² + 2(1) - 3
y = 2 + 2 - 3
y = 1
when x = 2
y = 2(2)² + 2(2) - 3
y = 8 + 4 - 3
y = 9
Complete table
x: -2 -1 0 1 2
y: 1 -3 -3 1 9
There are 250 freshman at Central High School. You survey 50 randomly selected freshmen and find that 35 plan to go to the school party on Friday. How many freshmen are likely to be at the party?
Answers
I think the answer is 175.
Hopefully this helps.
गुणोत्तर अनुक्रम र श्रेणी (GEOMETIC SEQUENCE & SERIES)
12A. एउटा गुणोत्तर श्रेणीको तेस्रो र छैटौँ पदहरू 1 : 8 को अनुपातमा छन् । यदि आठौं पद 384 भए सो श्रेणीको पाचौं पद पत्ता लगाउनुहोस् ।
The third and sixth terms of a geometric series are in the ratio of 1 : 8. If eighth term of the series is 384
then find the fifth term.
Answers
Answer:
i think its 34
Step-by-step explanation:
PLS HELP ASAP!!!!!
(Classify △LMN. Choose 2 answers).
Answers
Ans : A and F
Step-by-step explanation:
Answer:
As shown in picture:
Triangle LMN has 3 angles which are smaller than 90
=> Acute triangle (option C)
Triangle LMN has 2 sides which are equal in length (LM and LN)
=> Isosceles triangle (Option F)
Hope this helps!
:)
The park closes at 2:30 P.M. There is a 15−minute break between each game played at the park, and each game takes the same amount of time as Hamid's soccer game. How many more games can be played before the park closes?
Answers
Complete question:
The park closes at 2:30 P.M. There is a 15−minute break between each game played at the park, and each game takes the same amount of time as Hamid's soccer game. How many more games can be played before the park closes? Hamid's soccer game time is 7:00 to 9:15
Answer:
2 more games can be played before the park closes.
Step-by-step explanation:
Given that Hamid's soccer game time is from 7:00 to 9:15 and there's a 15 minute break between games played, the next game time would be: 9:15 + 15 = 9:30
The time for each game would be calculated as:
stop time - start time = 9:15 - 7:00 = 2:15.
Thus, each game time = 2hrs 15mins
The next game time would be:
9:30 + 2:15 = 11:45
This means the next game would be from 9:30 to 11:45
After this, there would be another game(a second extra game) since the park closes at 2:30PM.
Therefore, the next game time would be:
11:45 + 15 mins break = 12:00
The game duration =
12:00 + 2hrs 15 mins = 14:15 or 2:15PM
Considering the fact that the park closes by 2:30 PM, 2 more games will be played.
the total surface area of a cube is 294cm2
Work out the volume of the cube.
Answers
Answer:
343cm³
Step-by-step explanation:
294:6=49
square root of 49=7
7³= 343cm³
If you invest $1,000 at the age of 15 and it earns 9% annually, what will the
original investment be worth at the age of 62? *
Answers
Answer:
4230
Step-by-step explanation:
I=PRT
I=1000*9/100*62-15
I=1000*9/100*47
I=4230
HELP PLEASEE,
What is the value of X in the triangle?
Answers
Answer:
this is the answer
hope it help you
A fertilizer covers 2 3 square foot in 1 4 hour. The unit rate is square feet per hour.
Answers
23/14=1.6 square feet per hour
Serena bought 4 packs of pencils and 12 notebooks
for fall semester which cost her $60.00. She then
bought 14 packs of pencils and 7 notebooks for
spring semester which cost her $70.00. How much
did each pack of pencils and each notebook cost?
Answers
Answer:
6
Step-by-step explanation:
that is what it said the correct answer was
Answer: pencil (x) = 3.00, notebook (y) = 4.00
Step-by-step explanation:
Let pencils be denoted using 'x', and notebooks 'y'.
4x+12y = 60, 14x+7y=70
Let us use the method of elimination. However, neither variable has the same coefficient, so let us multiply the first equation using 7, and the second using 2.
7(4x+12y = 60) => 28x+84y=420
2(14x+7y=70) => 28x+14y=140
Let us subtract the second equation from the first. This eliminates the first variable x, and gives the equation 70y=280
Dividing either side of the equation by 70, we get y=4.
If we substitute (plug in) y=4 for the first equation we get x=3
Given the function g(x) = 7x - 14 find its inverse function.
Answers
Answer:
The inverse is 1/7x +2
Step-by-step explanation:
y = 7x - 14
Exchange x and y
x = 7y-14
Solve for y
Add 14 to each side
x+14 = 7y-14+14
x+14 = 7y
Divide each side by 7
(x+14)/7 = 7y/7
1/7x +2 = y
The inverse is 1/7x +2
Answer:
g^-1(x)=x/7+2
Step-by-step explanation:
y=7x-14
7y-14=x
7y=x+14
y=1/7x+2
g^-1(x)=x/7+2
what is the value of 4x+3y
Answers
Answer: 25
Step-by-step explanation:
(4)(4)+(3)(3)
Help me I’m begging you please
Answers
Answer:
Air pressure = [tex]4.6\frac{\text{lb}}{\text{in}^{2} }[/tex]
Step-by-step explanation:
Relationship between air pressure and altitude can be modeled by,
P = 14.7e[tex]14.7e^{-0.00004h}[/tex]
Where P = Air pressure
and h = altitude above the sea level
Air pressure on Mount Everest having altitude = 29028 feet abve the sea level will be,
P = [tex]14.7e^{-0.00004\times 29028}[/tex]
= [tex]14.7\times e^{-1.16112}[/tex]
= 4.603
≈ 4.6 [tex]\frac{\text{lb}}{\text{in}^{2} }[/tex]
Therefore, air pressure on Mount Everest = 4.6 [tex]\frac{\text{lb}}{\text{in}^{2} }[/tex]
Dan buys a car for £900.
It depreciates at a rate of 1.2% per year.
How much will it be worth in 4 years?
Give your answer to the nearest penny where appropriate.
Answers
$857.58 is the price of car after 4 years.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Dan buys a car for £900.
It depreciates at a rate of 1.2% per year
We need to find the cost of car after 4 years.
1.2/100=0.012
Now multiply 0.012 with 900
10.8
So for first year it will be 900-10.8=889.2
0.012×889.2
10.67
For second year 889.2-10.67=878.53
0.012×878.53=10.54
For third year 878.53-10.54=867.99
0.012×867.99=10.41
For fourth year 867.99-10.41=857.58
Hence, after 4 years the price of car will be 857.58.
To learn more on Percentage click:
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