Answer:
The resultant speed = 181.3 mph
The final direction = 38.7° northeast.
Step-by-step explanation:
We need to find the component in the x-direction and in the y-direction of the speed:
For the plane:
[tex] v_{p_{x}} = 200cos(45) = 141.42 [/tex]
[tex] v_{p_{y}} = 200sin(45) = 141.42 [/tex]
For the wind we have:
[tex] v_{w_{x}} = -28 [/tex]
[tex] v_{w_{y}} = 0 [/tex]
Now, the total speed in the x-direction and in the y-direction is:
[tex] V_{x} = v_{p_{x}} + v_{w_{x}} = 141.42 - 28 = 113.42 [/tex]
[tex] V_{y} = v_{p_{y}} + v_{w_{y}} = 141.42 [/tex]
Hence, the resultant speed is:
[tex] V = \sqrt{V_{x}^{2} + V_{y}^{2}} = \sqrt{(113.42)^{2} + (141.42)^{2}} = 181.3 mph [/tex]
Finally, the direction of the plane is:
[tex] tan(\theta) = \frac{V_{y}}{V_{x}} = \frac{141.42}{113.42} = 1.25 [/tex]
[tex] \theta = 51.3 ^{\circ} [/tex]
[tex] \theta = 90 - 51.3 = 38.7 ^{\circ} [/tex]
The plane is moving at 38.7° northeast.
I hope it helps you!
HELP PLEASE GIVING BRAINLIEST!!!
Answer:
161
Step-by-step explanation:
The area of a rectangular painting is 4389 cm?.
If the width of the painting is 57 cm, what is its length?
Length of the painting: ?
Answer:
77 centimeters
Step-by-step explanation:
You have to divide 4389 cm bye 57 cm, and the answer is 77 centimeters.
I need help question in picture
Answer:
I think it is 4/3
Step-by-step explanation:
Any help? Please!!!
It's due today.
Answer:
120
Step-by-step explanation:
4+4=8 tell you het to 120
PLEASE HELP ME!! BRAINLIEST AND 60 POINTS
Amber shared her photo with 3 people. They continued to share it, so the number of shares increases every day as shown by the function f(x) = 3(4)x
Please graph this for me, i do not understand how
[tex] \boxed{ \tt{its \: a \: straight \: line \: graph}}[/tex]
Find the perimeter of A ABC. If necessary, round to the nearest tenth.
Answer:
37.6
Step-by-step explanation:
A to B - just count up the numbers, it's 10
B to C - just count up the numbers, it's 12
A to C - Now this is a right triangle, so use the Pythagorean theorem(10^2 + 12^2 = 244, and take the square root of that, which is 15.62 and round to 15.6
And just add them together 10+12+15.6 to get 37.6
Which statement is TRUE concerning the slope of the line formed by the hypotenuse of each triangle?
A) BC/AB=CD/DE
B) BC/AB=DE/CD
C) AB/BC=CD/DE
D) AB/BC=DE/CD
Answer:
it would be
Step-by-step explanation:
I do not think you need an explanation but if so just comment
10.) Your dad is planning to increase the area of your rectangular patio. Your current patio is 8
feet by 10 feet, and your dad plans to double its area by adding the same amount x to its length
and width. Find the value of x, and the new dimensions of the patio.
Answer:
x = 3.69 feet
11.69 x 13.69 feet
Step-by-step explanation:
new area = (8 x 10) x 2 = 160
(8 + x)(10 + x) = 160
80 + 8x + 10x + x² = 160
combine like terms:
x² + 18x - 80 = 0
factor:
(x - 3.69)(x + 21.69) = 0
x = 3.69
Answer:
x = 3.69 feet
11.69 x 13.69 feet
new area = (8 x 10) x 2 = 160
(8 + x)(10 + x) = 160
80 + 8x + 10x + x² = 160
combine like terms:
x² + 18x - 80 = 0
factor:
(x - 3.69)(x + 21.69) = 0
x = 3.69
the table below shows the points scored by green bird players. what was the median number of the points scored
Answer: Sorry
Step-by-step explanation: What table? I would love to help you but I need to see the table you are talking about. :(
Erin buys a bag of peanuts that weighs 3/4 of a pound. Later that week, the bag is 2/3 full. How much does the bag of peanuts weigh now? There may be more than one correct answer.
Answer:
1/2 pound
Step-by-step explanation:
3/4 x 2/3 = 6/12 = 1/2 pound
Add 1/8 + 1/4 + 1/2.
1/8 + 1/4 + 1/2 =
= 1/8 + 2/8 + 4/8 = 7/8
I don't understand help
Answer:
[tex]x= 15[/tex]
Step-by-step explanation:
Francisca's mistake was that when she had an equation [tex]5 = \frac{1}{3} x[/tex] instead of dividing both sides by [tex]\frac{1}{3}[/tex] she substracted [tex]\frac{1}{3}[/tex] from both sides. So the correct way would be...
[tex]5 = \frac{1}{3} x\\\\(5)(3) = (\frac{1}{3} x )(3)[/tex]
[tex]15 = x[/tex]
Which is the y-intercept of the graph of f ?
Answer:
(0,4)
Step-by-step explanation:
The Y-axis is the vertical line. The y-intercept is where the function intersects at a point on the Y-axis.
5x 4 1/2 Answer with a mixed number in simplest form.
Answer:
22 1/2
Step-by-step explanation:
[tex]5x4\frac{1}{2} =\frac{9}{2} x\frac{5}{1} = \frac{45}{2} = 22\frac{1}{2}[/tex]
-4x – y = 24
Complete the missing value in the solution to the equation.
Answer:
x = -5
y = 1
Step-by-step explanation:
-4(-5)-1=24
25-1=24
24=24
Answer: x= -6, y= 6
Step-by-step explanation:
2t + 1 + 6 + 4t = 55
show your work
Answer:
I'm assuming you are trying to get t alone so t=8
Step-by-step explanation:
2t+1+6+4t=55
simplify
6t+7=55
subtract 7 from both sides
6t=48
t=8
What is the solution set for this inequality?
-8x + 40>-16
Answer:
x<7
Step-by-step explanation:
hope this helps :)
Quadratic functions g(x) and h(x) are graphed on the same coordinate grid. The vertex of the grid of h(x) is 12 units above the vertex of graph g(x). Which pair of functions could have been used to create the graphs of g(x) and h(x)?
A. h(x)=x^2−12 and g(x) = x^2
B. h(x)=(x+12)^2 and g(x) = x^2
C. h(x)=x^2+12 and g(x) = x^2
D. h(x)=(x−12)^2 and g(x) = x^2
Answer:
Step-by-step explanation:
The answer is h(x) = ^2 + 12 and g (x) = ^2
Which of the following angle measurements would you find in an equilateral triangle?
A. 45°, 45°, 45°
B. 45°, 45°, 90°
C. 50°, 50°, 50°
D. 60°, 60°, 60°
Answer:
D. 60, 60, 60
Step-by-step explanation:
In an equilateral triangle, all sides are equal and equal to 180 when added together. because 60×3 is equal to 180, D is the right answer. I hope this helps you!
The angle measurements found in an equilateral triangle are 60°, 60°, 60°
What is an Equilateral Triangle?An equilateral triangle is an angle that has equal angles and equal sides. It implies that all the sides of the angle contain the same length.
We can also say that an equilateral triangle is also equiangular since it has equal angles. If we recall, we know that the sum of angles in a triangle is 180°.
For a triangle with equal sides, it implies that each length will possess;
= 180°/3
= 60° each.
Learn more about equilateral triangles here:
https://brainly.com/question/17264112
All 50 digits of pi.
(Giving brainliest to first correct answer.)
I’m trying to figure out how this thing works. I’ve never asked a question.
Answer:
3.1415926535 8979323846 2643383279 5028841971 6939937510
Step-by-step explanation:
Step-by-step explanation:
172738192739q0wiw7uqsjs
An ice block is in the shape of a rectangular prism. Danny cute the block so that each side is 1/2 it's original length. How do the volumes of the ice block compare
Answer:
After he cuts the blocks, the volume is one eight of the original.
Step-by-step explanation:
Volume of a rectangular prism:
The volume of a rectangular prism with dimensions abc is given by:
[tex]V = abc[/tex]
Danny cute the block so that each side is 1/2 it's original length. How do the volumes of the ice block compare?
This means that:
[tex]a = \frac{a}{2}, b = \frac{b}{2}, c = \frac{c}{2}[/tex]
So
[tex]V_c = \frac{a}{2}*\frac{b}{2}*\frac{c}{2} = \frac{abc}{2^3} = \frac{abc}{8} = \frac{V}{8}[/tex]
After he cuts the blocks, the volume is one eight of the original.
Jazmine's bakery shop Sells doughnut boxes for $10, In addition $5 for the toppings
Answer:
y=10+5x
Step-by-step explanation:
Have a great day
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
24
Step-by-step explanation:
Use the pythagorean theorem.
Plz help ill give brainliestttt
Answer:
y=25x - 300
Step-by-step explanation:
she earns 25 dollars for each hour she works and then subtract the amount of money she has to pay for rent and that's how much she makes
Which of the following can be useful when finding the value of a variable
check all that apply
A. Drawing a diagram
B. Drawing a graph
C. Reading a table
D. Writing an equation
Answer:
drawin a diagram?
Step-by-step explanation:
Answer:
all of them
Step-by-step explanation:
For each of the following regular polygons, find: a) the sum of the interior angles, b) the measure of each interior angle, c) the sum of the exterior angles, and d) the measure of each exterior angle. Round answers to the nearest hundredth if necessary.
Answer:
wish i culd help
Step-by-step explanation:
What is the greatest common factor of 32, 44, and 48?
Answer:
4
Step-by-step explanation:
can you please help and I need help fast
Answer:
A
Step-by-step explanation:
He borrowed money so he has -5 dollars and but he payed 2 back, so now he needs to pay $3
can someone tell me if im right? PLEASE DONT JUST SAY YES if you don’t know
Answer: You are incorrect, the slope is correct, but the actual y-intercept is 205 ft.
Then the equation is:
y = (-15 ft/min)*x + 205 ft
Step-by-step explanation:
Ok, let's solve this.
We know that water is drained from a reservoir, let's assume that we can model this situation with a linear relation:
y = a*x + b
Where x is time, y is the height of the water in the reservoir, a is the slope (in this case represents how much changes the height of the water in the reservoir in one unit of time) and b is the initial height of the water in the reservoir.
We know that for a line that passes through the points (x₁, y₁) and (x₂, y₂) the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
For this particular case we know that after 2 minutes the height of the water is 175 ft, then we have the point (2 min, 175 ft)
and after 5 minutes (so 7 minutes in total), the height of the water is 100ft, then: (7 ft, 100ft)
Then the slope of this:
a = (100 ft - 175 ft)/(7 min - 2 min) = (-75ft/5min) = - 15 ft/min
Then our line is something like:
y = (-15ft/min)*x + b
To find the value of b, we can use the fact that when x = 2 min, y = 175 ft
So if we replace these two values in the equation we get:
175ft = (-15 ft/min)*2 min + b
175 ft = -30 ft + b
175 ft + 30 ft = b
(here is your problem, it seems like you subtracted instead of adding in this part)
205 ft = b
Then the equation is:
y = (-15 ft/min)*x + 205 ft
So you are incorrect (but only for a little bit), you computed wrong the y-intercept.
Can someone help me pls
Answer:
Yes it is tangent because it is touching a certain point
Step-by-step explanation:
Heres a pic i found of an example and it looks exactly like that one
9514 1404 393
Answer:
yes
Step-by-step explanation:
The side lengths of the triangle are 5, 12, and 5+8 = 13. We can check to see if they satisfy the Pythagorean theorem, which would indicate a right triangle.
5² + 12² = 25 +144 = 169 = 13²
These sides do satisfy the relationship between sides for a right triangle, so angle A is a right angle. That is the case when segment AB is a tangent to the circle.
Yes, AB is a tangent.