Answer:
I think the answer is 67.5. Hope this helps! :)
A plane flies against the wind 288 miles from Los Angeles to San Jose and then returns home with the same wind. The wind speed is 60 mph. If the total flying time was 2 hours, what is the speed of the plane?
Answer:
The speed of the airplane is 300 miles per hour.
Step-by-step explanation:
Let consider that plane travels at constant speed, which is the sum of the velocity of the plane in still air (velocity of the plane relative to wind) and the velocity of the wind. Hence, the total time spent by the plane is described by following kinematic formula:
[tex]t = s\cdot \left(\frac{1}{v_{P}-v_{W}}+\frac{1}{v_{P}+v_{W}} \right)[/tex] (1)
Where:
[tex]t[/tex] - Total time, in hours.
[tex]s[/tex] - Distance between Los Angeles and San Jose, in miles.
[tex]v_{P}[/tex] - Velocity of the plane in still air, in miles per hour.
[tex]v_{W}[/tex] - Velocity of the wind, in miles per hour.
Then, we proceed to simplify the formula and clear the speed of the plane in still air:
[tex]\frac{t}{s} = \frac{2\cdot v_{P}}{v_{P}^{2}-v_{W}^{2}}[/tex]
[tex]\left(\frac{t}{s}\right)\cdot (v_{P}^{2}-v_{W}^{2}) = 2\cdot v_{P}[/tex]
[tex]\left(\frac{t}{s} \right)\cdot v_{P}^{2} - 2\cdot v_{P}- \left(\frac{t}{s} \right)\cdot v_{W}^{2} = 0[/tex]
Which is a Second Order Polynomial, whose roots can be found analytically by Quadratic Formula. If we know that [tex]t = 2\,h[/tex], [tex]s = 288\,mi[/tex] and [tex]v_{W} = 60\,\frac{mi}{h}[/tex], then we have the following polynomial:
[tex]\frac{1}{144}\cdot v_{P}^{2}-2\cdot v_{P} -25 = 0[/tex]
The two roots associated with this polynomial are, respectively:
[tex]v_{P,1} = 300\,\frac{mi}{h}[/tex], [tex]v_{P,2} = -12\,\frac{mi}{h}[/tex]
Since speed is the magnitude of velocity, then solution must be positive. First root satisfies all these conditions.
In a nutshell, the speed of the airplane is 300 miles per hour.
2 1/6* 2 5/6 IN SIMPLEST FORM
Answer:
6 5/36
Step-by-step explanation:
MARK ME BRAINLIEST?
Sam is making a picture frame. He is gluing craft sticks end-to-end to a piece of cardboard. The sticks do not overlap. The top of the frame is 18 and one-third inches long. Each craft stick is 3 and one-third inches long.
How many craft sticks will Sam glue to the cardboard to make the top of the frame?
Answer: 5 1/2
Step-by-step explanation:
I took the test ig, but im not 100% sure
Find the coordinates of the 4th vertex d
Answer:
I think its b
Step-by-step explanation:
Permudahkan ungk
8a + 3b - 2a - b
Answer:
answer:8a + 3b - 2a - b
=8a-2a+3b-b
=6a+2b or 2(3a+b) is your answer
Solve for x
A) 3
B) 11
C) 6
D) 7
Marie bicycled 15 miles at 5 miles per
hour. How long did Marie bicycle?
Answer:
3 hours
Step-by-step explanation:
15÷5=3 so that's ot
What is the slope of the line represented by the equation y=4/5x-3
Answer:
4/5
Step-by-step explanation:
slope is 4/5
y = mx + b
m = slope
Find the area of the following
trapezoid:
8 cm
5 cm
4 cm
16 cm
A = [?] cm2
PLEASE HELP
Answer:
48 cm²
Step-by-step explanation:
Area of trapezoid = [tex]\frac{a + b}{2}[/tex] × h
Area = (8 + 16)/2 x 4
Area = 24/2 x 4
Area = 12 x 4
Area = 48 cm²
Can someone help me pls
Please hePlease necassary answers I need 9 and 10
Answer:
9) 73
10) he set off at 1:55 pm
easy-Peasy
What is 6% of 7500 + 5% of 7500
Answer: It should be 825
Step-by-step explanation:
Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale
Answer:
150 ft²
Step-by-step explanation:
Area of trapezoid = ½(a + b)h
Where,
a = 24 ft
b = 24 + 12 = 36 ft
h = √(13² - 12²) = √25 = 5 ft (pythagorean theorem was applied here)
Plug in the values
Area of trapezoid = ½(24 + 36)*5
= ½(60)*5
Area of trapezoid = 150 ft²
Did I do this right? if I didn't get it right can you help me? Thank you!
Answer:
the only thing is that your dot should be an open circle because 11 is not included in the answer. If it was less than or equal too, you have a closed dot, but since its just less than its an open dot. I like to think of it like if its closed dot its included, and if its an open dot it falls through the hole and is not included. I don't know if that makes sense, but you've got it otherwise.
I am completely lost someone help!:)
Answer:
[tex]x = 26[/tex]
Step-by-step explanation:
Given
The above triangles
Required
Find x
The two triangles are similar. So we make use of the following equivalent ratios, to solve for x
[tex]XZ : ZY = JL : LK[/tex]
Replace each side with their measurements
[tex]13 : 10 = x : 20[/tex]
Express as fraction
[tex]\frac{13}{10} = \frac{x}{20}[/tex]
Solve for x
[tex]x = \frac{13}{10} * 20[/tex]
[tex]x = 1.3 * 20[/tex]
[tex]x = 26[/tex]
I NEED THIS DONE NOW I'VE BEEN ON IT ALL DAY
Q5 is 115. Hope this helps! :) ✨
I can't see the numbers on Q6 sorry :((
Find the 59th term of the arithmetic sequence 26, 17, 8, ...
Answer:
-496
Step-by-step explanation:
it's right :)
(x^2)+8x+12=0
i need help with this one
Answer:
x1=-6, x2=-2
Step-by-step explanation:
Answer:
this is the answer hope it helps
What is the greatest common factor of 8, 44, and 12? explanation pls on how you got the answer
The greatest common factor( GCF) is = 4.
The greatest common factor(GCF) is the highest number that can divide 8, 44 and 12 without a reminder.
To find the GCF, first list the common factors of each figure given.
Common factors of 8 = 1, 2, 4, 8Common factors of 44 = 1, 2, 4, 11, 22, 44Common factors of 12 = 1, 2, 3, 4, 6, 12There are 3 common factors of 8, 44 and 12, that are 1, 2, and 4. Therefore, the greatest common factor of 8, 44 and 12 is 4.
Learn more here:
https://brainly.com/question/219464
Help me please I need the help
Answer:
p - 3
Step-by-step explanation:
Key expression: 3 fewer than
Fewer than = subtract from
subtract 3 from a number, p
This means that the expression would be p - 3
Because you are subtracting 3 from a number ( p )
Name the song that goes with these lyrics
1. I was rocking off white tryna have a fun time she gone eat like lunch time molly got her on time
2. Im a first class baby u in last baby im a 90's baby but i cook that shi from the 80's
3. I know i have a purpose but ion see the purpose they tell me the death of me gone be the perkys i know the lace the ills i bought them on purpose lifes unreal when deaths uncertain
Answer:
1. I'll Be Fine - Juice Wrld
2. ON GOD - Juice Wrld
3. Rich and Blind - Juice Wrld
name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.
What is a number c decreased by 15?
Answer:
The Answer is Literally C - 15.
decreased by means subtract 15
and a number means the Variable: C
so C-15
Step-by-step explanation:
Image attached. Thank you
Answer:
y=-x+1
Step-by-step explanation:
Slope intercept form is writing the equation of a line in the form y=mx+c, where m is slope and c is the y-intercept.
The y-intercept, c, is the value of y when the line crosses the y-axis. We can read from the graph that this value is 1. So, c=1
The slope, m, can be found by taking two points from the graph, (x,y) and (X,Y), and using the formula m=(Y-y)/(X-x). Two point on our line in this example are (0,1) and (-1,2):
m=(2-1)/(-1-0)=-1/1
m= -1
Knowing these values, we can write y=mx+c for our equation: y=-x+1
what is the function value of f(5) if f(x)=3x-2
Answer:
13
Step-by-step explanation:
If you plug in 5 for x you get...
f(5)= 3(5) - 2
f(5)= 15 - 2
Therefore, f(5) = 13
Answer:
f(5)=13 <- really the right answer this time haha
Step-by-step explanation:
f(5)=3(5)-2
=15-2
=13
IM GIVING 20 POINTS PLEASE HELP AAA
Sarah wants to find out how many apps she can download on her phone. She know that 5 apps cost $20. Create 3 ratio tables using: addition, multiplication and rate reasoning to show how many apps Sarah could download. Include 3-5 entries per table. Be prepared to explain how you arrived at your ratios.
Answer:
the ration of 3:5. 5 x 4 gives you 20 so, 3x4 gives you 12.
-10/3 rational or irrational number
Answer:
-10/3 is a rational number
Step-by-step explanation:
Rational numbers are the ratios of two integers.
Find the area of the composite figure.
Answer:
B. [tex] 200.5 \: {m}^{2} [/tex]
Step-by-step explanation:
Area of the composite figure = Area of square with side length 12 m + Area of semicircle with radius (12/2= 6) 6 m
[tex] = {(12)}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14(6)^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14 \times 36 \\ \\ = 144 + 56.52 \\ \\ = 200.52 \: {m}^{2} \\ \\ \approx \: 200.5 \: {m}^{2} [/tex]
Help please & thank you , need it asap
Answer:
x = 180 - 30 - 41 - 67 = 42°
PLEASE HELP !!! ONLY AN HOUR LEFT
Answer: arc ef is 68
Step-by-step explanation:
Since EF and FG are the same length (given)
and DE and DG are the same length (both are radius of the circle)
and DF is a shared side, the 2 inscribed triangles are congruent, making angle EDF also 68
The measure of an arc is the same as the measure of the angle across from it