To a motorist travelling due North at 50km/hr, the wind appears to come from North West at 60mk/hr. Find the true velocity of the wind.
Answers
Answer:43.1 km/h
Step-by-step explanation:
Suppose velocity of motorist [tex]\vec{v_1}=50\hat{j}[/tex]
The appeared velocity of wind or resultant velocity is [tex]\vec{v_r}=60[\hat{i}\cdot \frac{1}{\sqrt{2}}+\hat{j}\cdot \frac{1}{\sqrt{2}}][/tex]
Suppose the true velocity of wind is [tex]v_2[/tex]
so, [tex]\vec{v_1}+\vec{v_2}=\vec{v_r}[/tex]
[tex]\vec{v_2}=\frac{60}{\sqrt{2}}\hat{i}+(\frac{60}{\sqrt{2}}-50)\hat{j}\\\vec{v_2}=42.42\hat{i}-7.57\hat{j}\\absolute\ velocity=\sqrt{42.42^2+(-7.57)2}=43.09\approx 43.1\ km/h[/tex]
Related Questions
What is the slope of the line that passes through the points (1,1) and (-1,5)
Answers
your answer would be m=-2
hope this helped.
Julio can stock an aisle at the grocery store in 5 hours. Janet can stock the same aisle in 3 hours. How long will it take
them to stock the aisle if they work together?
Answers
Answer:
2
Step-by-step explanation:
5-3=2
pls help asap !!!!!!
Answers
Answer:
could you try 33?
Step-by-step explanation:
if Rs is half that could be qt and z is the other 33.
PLESE HELP I WILL GIVE BRAINLEST WORTH 18 POINTS ANSWER IF YOU ARE 100% SURE GIVE EXPLINATION
A flower bed is in the shape of a triangle, with a base of 13 feet and a height of 5 feet. What is the area of the flower bed?
1. 18 square feet
2. 32.5 square feet
3. 65 square feet
4. 130.5 square feet
Answers
Answer:
32.5
Step-by-step explanation:
For triangles you need to do base times height divided by 2
Answer:
Number 2: 32.5 square feet
Step-by-step explanation:
The formula for the area of a triangle is 1/2(base)(height)
In this case, our base is 13 ft and our height is 5 ft so we plug in those values into our formula
A = 1/2(13)(5) = 32.5
Therefore our area is 32.5 square feet.
Who can help on this for brainliest ?
Answers
Answer:
6
Step-by-step explanation:
[tex]1\frac{1}{2}[/tex]÷[tex]\frac{1}{4}[/tex]=
[tex]\frac{3}{2} *\frac{4}{1}[/tex]=
6
Hope this helps!
Pls give brainliest
Answer:
3 or 6
Step-by-step explanation:
im pretty sure its 3 or 6
The running time (in minutes) of a TV episode is 60-2c where c is the number of commericals aired during the episode. What is the running time of an episode with 15 commercials?
Answers
Answer:
60-2(15)=?
60-30=30
30 minutes
What is the mode of the data set?
8 5 3 9 12 9 2 3 6 11
Answers
Answer:
either 3 or 9
Step-by-step explanation:
3 and 9 repeat the most
True or False?
The following relation represent a function.
Question 4 options:
True
False
Answers
5 m
9 m
18 m
24 m
10 m
9 m
What is the volume of the figure? Enter the answer in the box.
Answers
Answer:
where is figure by the way
A circle has a diameter of 18 feet. Which following is closest to the l circumference of the circle?
A-28.3ft
B-56.5ft
C-113.1ft
D-245.5ft
Answers
circumference =2×pi×r
18/2=9(r)
so...2×pi×9
=54..5
Answer:
56.5 ft
Step-by-step explanation:
We define the number π as the ratio between the circumference and diameter of a circle: π = c/d. Rearranging this equation gives us one for the circumference: c = πd. Using an approximation of π ≈ 3.14 and our value of d = 18 feet, we can find that c = 3.14(18) = 56.52 ft, or 56.5 ft, rounded to the nearest tenth.
Silas had 3 times as much money as Raja. Silas spent $84 of his money to buy a birthday gift for his grandma while Raja was awarded $42 for winning a competition. In the end, they had the same amount of money. How much did they have altogether at first?
Answers
Answer:
Total amount Silas and Raja has at first = $252
Step-by-step explanation:
Let,
Amount Silas had = x
Amount Raja had = y
According to given statement;
x = 3y Eqn 1
x-84 = y+42 Eqn 2
Putting value of x from Eqn 1 in Eqn 2
3y - 84 = y+42
3y-y = 42+84
2y = 126
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{126}{2}\\y=63[/tex]
Putting y = 63 in Eqn 1
x = 63(3)
x = 189
Total amount they had = 189 + 63 = $252
Hence,
Total amount Silas and Raja has at first = $252
The amount they have altogether at first is $252
Let
Raja money = x
Silas had 3 times as much money as Raja. Therefore, Silas money is as follows:
3xSilas spent $84 of his money to buy a birthday gift for his grandma. Therefore, he has the following amount:
3x - 84Raja was awarded $42 for winning a competition. Therefore, Raja amount is as follows;
x + 42In the end, they had the same amount of money. Therefore,
3x - 84 = x + 423x - 84 = x + 42
3x - x = 42 + 84
2x = 126
x = 126 / 2
x = 63
Total amount(at first):x + 3x = 63 + 3(63) = $252learn more on equation here: https://brainly.com/question/228711?referrer=searchResults
Can someone please help me!!
Answers
Answer:
We conclude that the price per pound of the grapes = $1.45
Hence, option A is true.
Step-by-step explanation:
Given the table
Pounds of Grapes Total Cost
1.2 $1.74
2.6 $3.77
4.4 $6.38
Total pounds of Grapes = 1.2+2.6+4.4
= 8.2 pounds
Aggregate cost = 1.74 + 3.77 + 6.38
= $11.89
Thus,
Prince per pound = Aggregate cost / Total pounds of Grapes
= 11.89 / 8.2
= $1.45
Therefore, we conclude that the price per pound of the grapes = $1.45
Hence, option A is true.
The supreme choice pizza at Maria's Pizza Palace contains 2 different meats and 4 different vegetables. The customer can select any one of 5 types of crust. If there are 4 meats and 7 vegetables to choose from, how many different supreme choice pizzas can be made
Answers
Answer: Number of different supreme choice pizzas that can be made is 1050
Step-by-step explanation:
Given the data in the question;
Number of ways in which crust can be selected = 5
Number of ways in which 2 meats can be selected from 4 = ⁴C₂
⇒ 4! / ( 2! x (4-2)! )
= 6
Number of ways in which 4 vegetables can be selected from 7 = ⁷C₄
⇒ 7! / ( 4! x (7-4)! )
= 35
so; Number of different supreme choice pizzas that can be made;
⇒ 5 × 6 × 35
= 1050
Therefore, Number of different supreme choice pizzas that can be made is 1050
Which describes the inequality y > -15?
Answers
Answer:
A
Step-by-step explanation:
.
If 2.29 x 19.79 = 45.3191, then without actual multiplication the value of 0.0229 x 1979 is?
If you answer this first, I will give brainliest.
Answers
Answer:
45.3191
Step-by-step explanation:
0.0229 is 100 times smaller that 2.29 but 1979 is 100 times greater than 19.79. Since they cancel each other out, the answer remains the same.
If Steph Curry can shoot 72 free throws in 12 minutes, how many free throws
would he shoot each minute?
Answers
Answer:
6
Step-by-step explanation:
72/12=6 shoots each minute
Answer:
The answer is 6
Step-by-step explanation:
72 divided by 12 = 6
The pyramid has a base that is a right
triangle with side lengths 3 feet , 4 feef , 5 feet .it’s height is 6 feet. What is the volume of the pyramid?
Answers
Answer:
36
OR
12
?
Step-by-step explanation:
Area of Triangle: [tex]\frac{3*4}{2} = 6[/tex]
Volume: 6*6 = 36
Pyramid part confuses me.
volume of a pyramid: [tex]\frac{1}{3}*B*H[/tex] = [tex]\frac{1}{3}*6*6[/tex] = 12
B = triangle area
H = height
Which correlation coefficient represents a weak, positive linear relationship?
Select one:
a. r = 0
b. r = 0.35
c. r = −0.35
d. r = 0.94
e. r = −0.94
Answers
Step-by-step explanation:
The Correlation Coefficient
When the r value is closer to +1 or -1, it indicates that there is a stronger linear relationship between the two variables. A correlation of -0.97 is a strong negative correlation while a correlation of 0.10 would be a weak positive correlation.
Simplify: −2[−3(x − 2y) + 4y].
thanks!
Answers
Answer:
6x − 20y
Step-by-step explanation:
−2[−3(x − 2y) + 4y] =
= −2[−3x + 6y + 4y]
= −2[−3x + 10y]
= 6x − 20y
Answer:
Step-by-step explanation:
Here you go mate
PEDMAS:
Parenthesis
Exponent
Multiplication
Addition
Subtraction
Step 1
−2[−3(x − 2y) + 4y] Equation
Step 2
-2[-3(x -2y) + 4y] simplify
(-2)(-3(x-2y))+(-2)(4y)
Step 3
(-2)(-3(x-2y))+(-2)(4y) Add,Subtract And Remove parenthesis
6x-12y-8y
answer
6x-20y
8936245x18463 brainlist to who gets this right
Answers
please can i have a good answer please
Answers
Answer: i could be worng but i will try to answer it nicely and i don´t known how to explaine so i will only tell answer ok? if yes thx.If no than i am sorry
Step-by-step explanation: 162 .will be the answer if it is worng i am so sorry :(
36/2 = 18. so 1 ticket costs $18.
9 x 18 = 162.
so, 9 tickets cost $162
Which sequence is ARITHMETIC?
A)
{0, 1,4,9,...}
B)
{0, 4, 7, 11,...}
{-3, 2, 7, 12,...}
D)
{2, 1, 0.5, 0.25, ...)
Answers
Answer:
c
Step-by-step explanation:
2-(-3)= 5
so the common difference is 5
It adds five every time
Index notation of 5 x 5 x 5 x 5
Answers
Answer:
5^4
Step-by-step explanation:
What is the result of adding these two equations?
- 2x + y = -5
- 2x - 4y = 6
Answers
Answer: 5y = -11
Step-by-step explanation:
-2x + y = -5
(-2x - 4y = 6) -1
-2x + y = -5
2x + 4y = -6
System by elimination method
0 + 5y = -11
5y = -11
Answer:
-4x-3y=1
Step-by-step explanation:
when adding the wo equations, u must add like ters. -2x+-2x is -4x. and positive y+ -y= -3y and-5+6=1. so if u put it all together after adding all integers you get -4x-3y=1
who ever anwser my question fast and is quick i will give any body 200 point i will any one
Answers
Answer:
omg, can i have freeee points?? :,)
Step-by-step explanation:
Answer: Sure, but I want to be the brainiest for extra points :)
Step-by-step explanation:
Solve the following system of equations using substitution or elimination: y = −8x − 9 y = −6x + 5
Answers
Answer:
x = -7
y = 47
Step-by-step explanation:
Given the system of equation
y = −8x − 9 ... 1
y = −6x + 5 ...2
Equating both expressions
-8x - 9 = -6x + 5
Collect like terms
-8x + 6x = 5 + 9
-2x = 14
x = 14/-2
x = -7
Substitute x = -7 into equation 1.
From 1: y = −8x − 9
y = -8(-7) - 9
y = 56 - 9
y = 47
Hence the solution to the system of equations (x, y) is (-7, 47)
Please answer this question (image attatched
Answers
..................Is this a joke?
Please help asap
During a sale at a department store, all ties are discounted by 75%. A customer buys a tie that was originally priced at $135. If an 8% sales tax was added after the discount was
taken, about how much money does the customer have to pay?
O $109.35
O $60.75
O $36.45
O $33.75
O $68.00
Answers
Answer:
answer of this qn is 36.45
Step-by-step explanation:
135×108÷100 then 145.8 will come and then 145.8×25÷100 hence ans will 36.45
#5-9: Match each equation with the description of its graph below.(Plz answer! I really NEED help!!!!)
Answers
Answer:
[tex]5)y = \frac{7}{8}x + 1 \\ 6)y = - 10x \\ 7)y = 2.5x - 7 \\ 8)y = 1.2x \\ 9)y = - 5x - 8[/tex]
Use A(-1, -2) and B(8,0) to find the length of AB. Round your answer
to the nearest hundredth.
Answers
9514 1404 393
Answer:
9.22
Step-by-step explanation:
The distance formula is ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
Using the given coordinates, the distance between them is ...
d = √((8-(-1))^2 +(0 -(-2))^2) = √(9^2 +2^2) = √85 ≈ 9.22
The length of AB is about 9.22 units.