The velocity of an airplane heading east is 400 knots with a wind velocity of 50 knots blowing toward the northeast. Calculate the resultant speed and direction of the plane. Round to the nearest tenth.

Answers

Answer 1

1. To Calculate the resultant speed of the plane, you need to find the speed of the air, add it to the plane speed, then find the resultant using trigonometry.

The velocity of the plane:
east=400 knots

The velocity of the air
50knots north east = 50/√2 north + 50/√2 east

The resultant speed would be:
total speed^2= east^2 + north^2
total speed= √(400+50/√2)^2 + (50/√2)^2
total speed= √(189534.254 + 1250)
total speed= 436.8 knots

2. To count the direction of the plane, you need to find the total speed of x(east/west) and y(north/south) axis separately then use tan formula.
east speed= 400knots + 50/√2 knots= 435.35 knots
north speed= 50/√2knots= 35.35 knots

tan a= opposite/adjacent
tan a = north speed/ east speed
tan a= 35.35/ 435.35
tan a=0.0812
a= 4.6 degrees

Related Questions

Lin has picked 1 1/2 cups of raspberries, which is enough for 3/4 of a cake. How many cups does she need for the whole cake?

Answers

(1.5 cups)/(.75 cake) = 2 cups/cake

Hey there!

To solve this, you can divide 1 1/2 and 3/4 . . .

1 1 /2 = 3/2
3/4 = 3/4

3/2 divided by 3/4:

3 x 4 = 12
2 x 3 = 6

12/6 = 2 <-----------

Lin needs 2 cups of raspberries for the whole cake.

Hope this helps you.
Have a great day!

Hello peoples please help I’m extremely stupid and math is not my strongest point. Thanks for your help if you can =)

Answers

Hey there! :D

We can solve for the simplest answer and see if they are equivalent.

10a-5a= 5a

We are looking for an expression that equals 5a.

2a+3a= 5a <=== that is equivalent

6a-4a= 2a <=== that is not equivalent

"A" is the correct answer.

I hope this helps!
~kaiker

solution for 3×-6=5×+2?

Answers

3x+-6=5x+2, The answer is X= -4

3x-6=5x+2
-3x. -3x
-6=2x+2
-2 -2
-8=2x
-4=x

785942+8542760x563498=

Answers

Use PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction) to solve

Multiplication first
8542760 x 563498 = 4813828200000
785942 + 4813828200000

Then add
785942 + 4813828200000 = 4813829000000
4813829000000 is your answer

Of all the people that attend movies 67% are in the 12-29 age group. At one theater 500 people attended a showing of a certain movie. How many were in the 12-29 age group

Answers

You do 500 people times .67 to get the answer. The answer is 335 people

Which expression represents the prime factorization of 276?

Answers

2^2 * 3 * 23
Hope this helps

Hello,

The answer is "2^2*3*23".

Reason:

The prime factorization of 276 is 276:

Therefore the expression would equal....

2^2*3*23

2^2=4

4*3=12

12*23=276

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

The height of a cone-shaped statue is 9 ft, and the diameter is 12 ft.

What is the approximate volume of the statue?

Use 3.14 to approximate pi, and express your final answer as a decimal.

Enter your answer in the box.

ft³

Answers

To find the volume of a cone do
[tex]\pi \times {r}^{2} \times h \div 3[/tex]
[tex]\pi \times 6 \times 6 \times 9 \div 3 = 339.12[/tex]
[tex]answer = 339.12 {ft}^{3} [/tex]

Answer:

its 339.12

Step-by-step explanation:

i did the test

HELP ME PLEASE!!!! Giving 40 points!!!!!!!

What is the area of this figure?

Enter your answer in the box.

Explain how you got the answer as well please.

Answers

for the rectangle: l x w = Area
l = 18
w = 18

18 x 18 = 324

If 16m is for dash line

1/2bh
1/2(16)(16)
4(16) = 64

1/2bh
1/2(8)16
8(8) = 64

324 + 64 + 64 = 452

Your area should be 452m²

hope this helps

Bert already has $50 but needs a total of at least $250 for his holiday. He gets paid £20 day for delivering papers. What is the least number of days he must work to get enough money for his holiday?

Answers

Bret would need to work for 8 days. He has $50 and need to pay $250. 250-50= 200. £20 is $27.59 200/27.59 =7.24 If £20 is a typo then 10 days.

Answer: Hi!

We know that Bert has $50, but he needs a total of at least $250 for this holiday. The differences between what he needs and what he has is:

$250 - $50 = $200

So he needs another $200.

He gets paid £20 a day and we want to know the number of days that he needs to work in order to obtain the $200.

The first step is to transform the £20 into dollars.

£1 = $1.27

then his daily pay in dollars is: 20*$1.27 = $25.4

Now let's call X the number of days that he needs to work to obtain the $200, we got:

X*$25.4 = $200

X = $200/$25.4 = 7.8

We should round up this result because we want a whole number.

X = 8, this means that Bert needs to work at least 8 days if he wants to have at least $250 for the holidays.

I’m on khan academy(6th grade math) and I’m confused so here’s the question
“ Hanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 8 chest every 4 hours
Complete the table using equivalent ratios.”
The table is:
8 chests every 4 hours
12 chests every 6 hours
10 chests every _(blank)_ hours
So yea I did the middle one myself but I’m stuck on the last one

Answers

I think it’s 5 hrs I’m not sur though but that was I think it is

8/4=2. So 2 chests per hour would be recovered. 10/2=5. So the answer is 10 chests every 5 hours.

victor has the map scale missing.he knows the distance from the lake to the youth center is 8 miles. on the map they are 2in. apart. what is the scale for victors map

Answers

The correct scale is 1 in = 4 mi.

Explanation:

The scale tells us what a given measurement on the map equals in real-life distance.

The measurement on the map that we have is 2 inches, and it equals 8 miles:

2 in = 8 mi

This can also be written as 2/8. This fraction can be simplified, since both 2 and 8 are divisible by 2; it will simplify to 1/4. This is the same as
1 in = 4 mi.

Answer:

The correct scale is 1 inch = 4 miles.

Step-by-step explanation:

Map scale is defined as the ratio between the marked distance on a map to the corresponding distance on the ground.

Here, it is given that the measurement on the map is 2 inches, and it equals to 8 miles; so 2 inches = 8 miles

Simplifying this we get:

1 inch = 4 miles.

Hence, the scale is 1 inch equals 4 miles.

Anyone can help me with this please.

Answers

The cube has the greatest surface area.

Please help me!!! WITH MATH
30 points for this and brainliest!
Answer all question and don't steal the points or i will report.

Answers

1. I think A is 5 because it is the lower quartile range

2. The median of the data is 56 because the median of a plot is in the middle of the data

3. The greatest value of the data plot is 45 because it is higher than the rest of the numbers (upper quartile range).

4. The median of the plot is 41 because if you look at the box-whisker plot you can see that it is in the middle of the box

5. Your answer would be 42 because on a box-whisker plot, the first quartile is on the side of the box(first quartile).

Hope this helps :)
Pls mark as BRAINLIEST!

Answer:

1. I think A is 5 because it is the lower quartile range

2. The median of the data is 56 because the median of a plot is in the middle of the data

3. The greatest value of the data plot is 45 because it is higher than the rest of the numbers (upper quartile range).

4. The median of the plot is 41 because if you look at the box-whisker plot you can see that it is in the middle of the box

5. Your answer would be 42 because on a box-whisker plot, the first quartile is on the side of the box(first quartile).

Hope this helps :)

Pls mark as BRAINLIEST!

Step-by-step explanation:

Christina, Kandace, and Devan together sold 43 tickets for the school dance. Christina sold 12 tickets and Kandace sold 17 tickets. How many tickets did Devan sell?

A) 14
B)26
C) 29
D)31

Answers

You take 43 and subtract 12 to get 31, then take 31 to subtract 17 to get 14
The answer is A

A square pyramid is shown. What is the surface area? PLEASE HELP ME!

Answers

3*2 + 0.75*2
= 9+ 0.5625
= 9.5625

Is 96 fl. Oz greater or less than 13 c

Answers

There are 8 fluid ounces in a cup.
96 ounces divided by 8 ounces in a cup give you 12 cups.
96 oz =12 cups.
12 cups < 13 cups.
13 cups is greater.

96 fluid ounces is less than 13 cups.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

To compare 96 fluid ounces and 13 cups, we need to convert one of the quantities so that they are in the same units.

One cup is equal to 8 fluid ounces.

So,

13 cups is equal to:

13 cups x 8 fluid ounces/cup

= 104 fluid ounces

Now,

We can compare 96 fluid ounces and 104 fluid ounces.

Since 104 is greater than 96.

Thus,

96 fluid ounces is less than 13 cups.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ3

HELP PLEASE!! 30 points

Simplify these expressions:

a) 2 1/4x+(4 1/3x-7 4/5) divided by 2 3/5

b) 8x-1 1/7(1 1/3x-12)

Answers

Hi, I'd be glad to help.

So, it would be impossible for me to give an exact measurement on the equations, but I can simplify them.

a) = 45x - 84 / 50

b) = (-12263/3x + 13404

Hope this helps.
Have a great day!

I need help with this:

The volume of a cube is 729 cubic units. What expression makes 729?

Answers

[tex] {9}^{3} [/tex] ..nine cubed. If you multiply 9×9×9 you will get 729

What is the value of the underlined digit?

5,682, 450,003

A. eighty thousand
B. eighty million
C. eighty-two million
D. eighty billion

Answers

Which digit is underlined

Your answer is C.. If i am incorrect, then i am sorry..

Which shows how to find the volume of this rectangular prism by filling it with 1/2 inch cubes?

Answers

hello buddy how are you?
so the answer to your question is B.
hope this helps you have a good day
-albert

Joseph borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the charges Joseph paid for the book when he returned it x days after the due date: 2 + 0.25x What does the coefficient of the expression represent?

Answers

The coefficient, 0.25, of the expression represents the late fee for every day the book was overdue.

And the constant, 2, represents the fixed rental fee.

The variable, x, represents the number of days Joseph had the book for.

Hope this helps :)

A rectangular picture is 7 inches long and 5 inches wide. What is the area of the picture? A. 35 in² B. 35 in. C. 24 in. D. 24 in²

Answers

The answer is B) 35 inches.

A. 35 in. squared is the answer because 7 times 5 equals 35

How do I find the prime factorization of 40? And what is prime factorization?

Answers

Prime factorization is a way of showing which prime numbers (numbers that can only be divided by one and itself) can go into a number. For instance, the prime factorization of 4 would be 2 x 2. Two can only be divided by one and itself, so it is a prime number, and 2 x 2 = 4. For larger numbers, divide by a prime number until the number that is being divided is a prime number. Each divisor will be used as part of the prime factorization. The final dividend will also be used. Add the dividend, order each divisor from least to greatest, and then you're done. Therefore, the prime factorization of 40 would be 2 x 2 x 2 x 5.

Final answer:

Prime factorization is finding the prime numbers that multiply to create the original number. The prime factorization of 40 is 2³ × 5.

Explanation:

Prime factorization is the process of breaking down a composite number into the prime numbers that, when multiplied together, give the original number. To find the prime factorization of 40, you would start by finding two numbers that multiply to give you 40. You could start with 4 × 10. Since 4 is not a prime number, it can be further broken down into 2 × 2. The number 10 can also be broken into prime factors 2 × 5. Therefore, the prime factorization of 40 is 2 × 2 × 2 × 5, or 2³ × 5.

The function f is defined by f(x) x2 +3x-10.

If fx +5)x2 +kx+30, k = [?]

Find the smallest zero of f(x+5). x = [?]

Answers

f(x+5)=(x+5)²+3(x+5)-10
f(x)=x²+10x+25+3x+15-10
f(x)=x²+13x+30
k=13

x²+13x+30=0
(x+3)(x+10)=0
x=-3 or -10
the smallest zeros is x=-10

Answer:

K=13

X=-10

Step-by-step explanation:

Need answer for 7,8, and 9

Answers

21 that’s what would be the andwe

Alrighty then sir!

These questions usually require quite a bit of thinking, but this is quite easy, so we'll slide with this!

Now, 4 cups are equal to 1 quart, and that's important!
In total, for number 7, Benji ate the amount that the question describes!

Remember, 4 cups are equal to 1 quart
4 x 7 = 28 / 2 = 14 pints / 2= 7 quarts for Number 8

Number 9
1 + 5 = 6: Keep the equation for now!
4 + 8 = 12! Keep that too

12 + 6 = 18 cups.
We have to minimize this

16 cups are 1 gallon
18 - 16 = 2
A is your answer for No.9!

Hope this helps!
~Samuel

Easy 7th grade pre algebra!

Help!

Answers

Statement A is the false one.

f(x)=(2x+1)(3x-2)
The zero product property says that f(x)=0 when either (2x+1)=0, or (3x-2)=0, or both.
We also know that the zeroes of an equation are the values of x when f(x)=0.
So f(x)=0 when (2x+1)=0 or (3x-2)=0 => x=-1/2 or when x=2/3. which are the roots of f(x).

A. the y-intercepts have nothing to do with the zeroes of f(x).
B. By definition of zero of a function, it is true that the values of x when f(x)=0 are the zeroes of f(x).
C. The zeroes of f(x) are the same as the ones calculated above, so it is true.
D. The x-intercepts of the lines are basically the zeroes of the function f(x), as explained above. So the statement is true.

Can someone please help me with this question.

Answers

Answer:

Step-by-step explanation:

What is the value of x?

Enter your answer in the box.

x =

Answers

I think the answer is 60
cause you from the other side 62
so 60 + 2 = 62

Hope it helped

From our diagram we can see that angle HED equals to angel GED and angle GDE equals to angel HDE.

Two triangles are similar if the corresponding angles are equal, so their corresponding sides will be in equal ratio.

Upon setting ratios of corresponding sides of our triangle equal we will get,

[tex]\frac{EG}{GD} =\frac{EH}{HD}[/tex]

[tex]\frac{99.2}{62} =\frac{112}{(x+2)}[/tex]

Now we will use cross multiplication to solve our equation,

[tex]99.2(x+2)=112\cdot 62[/tex]

[tex]99.2x+198.4=6944[/tex]

[tex]99.2x=6944-198.4[/tex]

[tex]99.2x=6745.6[/tex]

[tex]x=\frac{6745.6}{99.2}[/tex]

[tex]x=68[/tex]

Therefore, value of x will be 68 ft.

what is the approximate volume of a cylinder with a radius of 4 centimeter and height of 5 centimeters 62.8 , 251.2 , 1004.8

Answers

The volume is 251.2:

V= π r^2 h = π · 4^2 · 5 ≈ 251.32741

251.32741 rounded is 251.33, and the closest to that is 251.2

Answer:

251.33cm

Step-by-step explanation:

Which equation BEST represents the line of best fit for the scatterplot? A) y = x + 2 B) y = x + 1 C) y = x - 2 D) y = 2x + 1

Answers

Answer:

y=x+2 is the right answer

Step-by-step explanation:

Equation A best represents the line of best fit for the scatter plot. Option A is correct.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

From option 1;

y= x+2

At,x=0 y=2

At,y=0 x=-2

The equation satisfy the graph in the best possible way. So that equation A best represents the line of best fit for the scatter plot.

Hence, option A is correct.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ2

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