The Pythagora´s Theorem, tell us that in a right triangle, the square of the hypothenuse (L²) is equal to :
L² = x² + y²
x and y are the legs.
The solution is
dy/dt = 48.9 ft/s
We know that in a right triangle:
L² = x² + y² (1)
If the helicopter lifts off vertically, that means x ( the horizontal distance between the observing man and the helicopter, maintains constant).
According to that, if we get derivatives with respect to time on both sides of equation (1) we get:
2×L× dL/dt = 0 + 2×y×dy/dt (2)
And
L = √ ( 58)² + ( 113)² = √12769 + 3364 = 127.02 ft
L = 127.02 ft when y = 113 ft
Now in equation (2) we know:
y = 113 ft dy/dt = 55 ft/s L = 127.02 we look for dL/dt
Then by substitution
2×127.02 × dL/dt = 2×113×55
254.04× dL/dt = 12430
dL/dt = 48.92
dL/dt = 48.9 ft/s
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solve for y
110
75
100
55
Answer:
100
Step-by-step explanation:
because a straight line equals 180 degrees. 25 plus 55 is 80. 180 minus 80 is 100, so the answer is 100 degrees
Here is a part 2 to my question
Answer:
1st is (D.) 2nd is (C.) 3rd is (D.) 4th is (A.) 5th is (C.)
For the function f(x) whose graph is shown below, what is the value of f(5)?
We want to look at the given graph to estimate the value of f(5). We found that: f(5) = 2
In the coordinate axis, we can see a blue curve, which represents the function f(x).
To find the value of f(5), first, we need to locate the value x = 5 on the horizontal axis.
Once we find it, we need to move vertically until we meet the curve.
Once we meet the curve, we move horizontally until we meet the vertical axis, that intersection gives the value of the function when evaluated in x = 5.
By this method we can see that: f(5) = 2
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Question Help Morgan saw 3x 10' cats in the park on Sunday. She saw three times as many cats on Monday as she saw on Sunday. How many cats did she see over the two days? Morgan saw cats over the two days.​
Answer:
60
Step-by-step explanation:
what is 46+56+3+17+30+
Answer:
152
Step-by-step explanation:
46+56=102
102+3=105
105+17+130=152
[tex]\sf 16\times 6\times 11[/tex]
Answer:
1,056
Step-by-step explanation:
16 x 6 = 96
96 x 11 = 1,056
Hey there!
16 * 6 * 11
16 * 6
= 16 + 16 + 16 + 16 + 16 + 16
= 32 + 32 + 32
= 64 + 32
= 96
= 96 * 11
= 96 * 11
= 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96
= 192 + 192 + 192 + 192 + 192 + 96
= 384 + 384 + 288
= 768 + 288
= 1,056
Therefore, your answer is: 1,056
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
I'll be your bestie if you help me out sis !!!!! Find the surface area of the cylinder. Give your answer to two decimal places. SHOW YOUR WORK so I can see if it makes sense!
Answer:
Surface Area of the Cylinder is 1156.11
Step-by-step explanation:
To find the Surface Area of a Cylinder, the equation given is A = 2πrh+2πr2
Given the radius and height of the cylinder, we plug those numbers into the equation to get;
A = 2π(8)(15)+2π(8)2
= 1156.11
Answer:
1155.52 cm²
Step-by-step explanation:
SA = LSA (Pb x h) + 2B
- r = 8 cm, h = 15, π (pi) = 3.14
Lateral Surface Area (LSA) = Pb (Perimeter of base) x h (height)
8 x 2 = 16 x 15 = 240 x 3.14 = 753.6
Area of the Base x 2 = πr² x 2
8² x 3.14 = 64 x 3.14 = 200.96 x 2 = 401.92
753.6 + 401.92 = 1155.52
Tom buys a boat from a friend, and will pay his friend the same amount of money each year until the boat is paid for. The following graph gibes the amount of money, in dollars, Tom owes his friend, as a function of the amount of time, in years.
The graph of amount Tom owes his friend after a given time, t, is a straight line graph with a negative slope
Please find attached the required example of a possible graph that shows the amount Tom owes his friend
Reason:
Let A represent the amount of money Tom buys the boat with, let x
represent the amount of equal payment made and y represents the
amount Tom owes the friend after a given time, t, we have;
y = A - x·t
Therefore, the slope of the graph formed is -x, the y-intercept of the graph
is A, from which the graph that gives the amount of money, in dollars, Tom
owes his friend, as a function of time, in years can be presented as follows,
using example values;
A = $25,000 (Amount the Tom agrees to buy the boat)
x = $5,000 (Amount Tom pays each year for the boat)
By plugging in the above example values, the attached graph can be drawn using MS Excel
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The product of sum and difference of two binomial like (x+y) and (x-y) isof two squares. (FERFENCEID)
The product of sum and difference of two binomial like (x+y) and (x-y) is x² - y²
The first number = x
The second number = y
The sum of the two numbers = x + y
The difference of the two numbers = x - y
The product of the sum and the difference = (x+y)(x -y)
Note that the product of the sum and the difference = (x + y)(x - y)
This can be expanded by distributivity as shown below:
(x + y)(x - y) = x² + xy - xy - y²
(x + y)(x - y) = x² - y²
This is the difference of two squares.
Therefore, the product of sum and difference of two binomial like (x+y) and (x-y) is x² - y²
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CAN SOMEONE PLEASE HELP WITH QUESTIONS 3 THROUGH 11?? YOU DON’T EVEN HAVE TO DO ALL OF THEM JUST THE ONES U FEEL LIKE DOING (ILL MARK AS BRAINLIEST!!)
Answer:
3. 3/2
4. -1/3
5. -3.5
6. -6and 2/3
7. -18and 13/24
8. 1/18
9.-2.6
10.-1.83
11. 14.963
Step-by-step explanation:
HOPE THIS HELPS, if not see me in the comments
BRANILIEST PLZZZ
Given f(x)=-2x-1, solve for x when f(x)=-7
Answer:
The answer is -15.
Step-by-step explanation:
1. 2x - 1
2. 2(-7) - 1
3. (-14) - 1
4. -15
By plugging in our x value, we are able to use PEMDAS to multiply 2 and the value of x and then, we subtract 1 from the value we got from step 3 to get -15.
Solve the equation.
9x=25
Answer:
[tex]x = \frac{25}{9}[/tex]
Step-by-step explanation:
Divide both sides by 9 to isolate x:
[tex]\frac{9x}{9} = \frac{25}{9} \\x = \frac{25}{9}\\[/tex]
Hope this helps!
PLEASE HELP
The area of a square is 8km. Find its perimeter.
Answer:
[tex]area = 8k {m}^{2} \\ l = \sqrt{8} \\ = \sqrt{2 \times 4 } = \sqrt{2} \sqrt{4} \\ l = 2 \sqrt{2} km \\ perimeter = 4 \times l \\ = 4 \times 2 \sqrt{2} \\ = 8 \sqrt{2} km[/tex]
please help, thank you
Answer:
The solution is A. (-2,7) and C. (3,2)
Step-by-step explanation:
x+y = 5 ............(1)
x²+y = 11 ............(2)
_________________________
y = 5-x
x²+(5-x) = 11
x²+5-x-11 = 0
x²-x-6 = 0
x²+2x-3x-6 = 0
(factor statement)
x(x+2)-3(x+2) = 0
(x+2) (x-3) = 0
x+2=0 x-3 =0
x = -2 x = 3
(x1 = -2, x2 = 3)
_________________________
y = 5-x
y = 5-(-2) ............(1)
= 7
y = 5-3 ............(2)
= 2
(y1 = 7, y2 = 2)
_________________________
(x1,y1) & (x2,y2)
(-2,7) & (3,2)
So, A. (-2,7) and C. (3,2) correct
What is the scale factor? Polygon FGHIJ is a dilation of polygon ABCDE.
Thanks
Answer:
1/2 scale factor.
Step-by-step explanation:
The polygon was dialated with a scale factor of 1/2
Hope this helps!
What is a solution to this mathematical equation?
3.76 x 4.64 = x
x= ???
Answer:
x= 17.4464
Step-by-step explanation:
1) Multiply the numbers
3.76 · 4.64 = x
17.4464 = x
2) Move the variable to the left
17.4464 = x
x = 17.4464
Step-by-step explanation:
you don't have a calculator ? even your computer or your smart phone have calculator apps.
just type it in : 3.76 × 4.64
and the result is : 17.4464 = x
nolan uses 7 inches of string to make each bracelet. if nolan makes 9 bracelets how many inches of string will he use
Answer:
63 inches
Step-by-step explanation:
We can write a ratio to solve
7 inches x inches
------------- = -------------------
1 bracelet 9 bracelets
Using cross products
7*9 = 1x
63= x
63 inches
Help plz i’ll give brainliest
Answer:
A is the correct answer.
Step-by-step explanation:
The translation is (-3, 6). this means you move each coordinate left three and up 6.
You could also subtract 3 from each x-coordinate and add 6 to each y-coordinate.
the fastest moving insect is the large tropical cockroach. it scurried at speeds of up to 2.3 feet per second. how many miles, rounded to the nearest hundredth, can the tropical cockroach travel in 1 hour
please help me with this!!! i’m begging!
Answer:
Domain is 3 <x>_-2
Range is 6 <x>_-3 (the lines are supposed to be under the >. it means equal to)
Step-by-step explanation:
First look on the x-axis, is goes from 3 to -2. now look at the colored in dot. that means more than or equal to. So the sign of -2 is x >_ -2. put the 3 on the other side. It stops at three so the sign is > 3. so 3<x>_ -2
Do the same with the y-axis except look up and down instead of left and right. so the numbers are 6 and -3. Use the same method above. this is set builder notation.
If x = 6 and y = -2, find the value of x + y( to the power of 2)
Answer:
Step-by-step explanation:
According to the graph how much money did you start with in your savings? b. How much money will you have after 5 weeks of saving? c. Fill in the table at the right and extrapolate for weeks 6, 7 and 8.
Answer:
A
Step-by-step explanation:
Convert 250.025 to a mixed number
Answer:
1/5
Step-by-step explanation:
It's already a mixed number.
The whole number part is 250 .
The fraction part is 0.025 . (Same thing as 1/40 .)
Done
what is the range in kilometers walked for charity
Answer:
Other events (such as charity walks) range from 20km to 100km taking a variety of times depending on the fitness and experience of the walker (average time on Oxfam 100km walk is 28-32 hours).
Step-by-step explanation:
yw!
Which of the answer choices is a possible value for x? Select all that apply.
8x > 24
A: 2
B: 3
C: 4
D: 5
E: 6
Answer: B: 3
Step-by-step explanation:
Please answer the math problem... I will mark you brainliest
Answer:
Step-by-step explanation:
im sorry i cant see the problem
what is the square root of 50?
Answer:
7.07
Step-by-step explanation:
Step-by-step explanation:
7.07
or
7.07106781187
enjoy thanks brainliest??
and yes enjo :)
El último informe digital de Perú, publicado en el mes de febrero, reveló que hay 19,9 millones de internautas. Asimismo, hay 27 millones de usuarios activos en los medios sociales En la siguiente gráfica se presentan datos por rango de edad y género en porcentajes.
Si se desea realizar una encuesta a usuarios peruanos de las diversas redes sociales en el 2021, ¿cuál es la probabilidad de que el primer usuario que responda la encuesta sea mujer de más de 44 años?
Desde el gráfico, se encuentra que hay una probabilidad de 9.9% que el primer usuario que responda la encuesta sea mujer de más de 44 años.
------------------------
El gráfico muestra el porcentaje de usuarios de redes sociales correspondiente a características de género y edad.De el gráfico, hay:
Una probabilidad de 5.1% que el primer usuario sea mujer entre 45 y 54 años.2.7% que sea mujer entre 55 y 64 años.2.1% que sea mujer con más de 65 años.5.1% + 2.7% + 2.1% = 9.9%, puesto que:
Hay una probabilidad de 9.9% que el primer usuario que responda la encuesta sea mujer de más de 44 años.
Un problema similar es dado en https://brainly.com/question/18734831
PLEASE HELP ME!
Explain what the algebraic solution of a system of two linear equations is and what that means in terms of the graphs of the equations of the system. Use AT LEAST 2 complete sentence in
your explanation. (3 points)
San ine to you bhai account and I will
Your cousin gave you $7.41 to buy a present. This amount covered 3/4 of the total cost. How much did the present cost?
Answer:
The answer is $5.55
Step-by-step explanation:
7.41 * 3/4= 5.5575
The present cost will be $9.88.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The amount to give cousin = $7.41
This amount covered 3/4 of the total cost.
Now,
Let the present cost = x
So, We can formulate;
⇒ 3/4 of x = $7.41
Solve for x as;
⇒ 3/4 × x = $7.41
⇒ x = $7.41 × 4 / 3
⇒ x = $9.88
Thus, The present cost will be $9.88.
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