Answer:
It's 20
Step-by-step explanation:
240/12 to find average
average=20
An airplane is flying in the direction of 30 degrees South of East at 500 mph. A wind is blowing in the direction of 45 degrees North of East at 55 mph. Find the direction angle of the airplane’s path, adjusted for the wind.
Answer:
B
Step-by-step explanation:
The angle of the airplane’s path is = [tex](\frac{250\sqrt{2}+55}{\sqrt{2}} )[/tex]î +[tex](\frac{250\sqrt{6}-55 }{2})[/tex]ĵ
what is vector?A vector is defined as a quantity which has two independent properties magnitude and direction.
î & ĵ denote two unit vectors along East & North directions respectively.
V1 denotes velocity vector direction of airplan of 30 degrees South of East at 500 mph
V2 denotes velocity vector wind the direction of 45 degrees North of East at 55 mph
V denotes the actual velocity vector of the given plane.
Hence from above data we get following descriptions,
V1 = 500.(sin 30°).î + 450.(cos 30°).ĵ
= 500.(1/2).î + 500(√3/2.ĵ
= 250î + 250√3ĵ
V2 = 55(sin 45°).î - 55(cos 45°).ĵ
= 55[1/√2].î - 55[1/√2]ĵ
V = V1 + V2
= 250î + 250√3ĵ +55[1/√2].î - 55[1/√2]ĵ
= 250î +55[1/√2].î + 250√3ĵ - 55[1/√2]ĵ
= [tex](\frac{250\sqrt{2}+55}{\sqrt{2}} )[/tex]î +[tex](\frac{250\sqrt{6}-55 }{2})[/tex]ĵ
Hence the angle of the airplane’s path is = [tex](\frac{250\sqrt{2}+55}{\sqrt{2}} )[/tex]î +[tex](\frac{250\sqrt{6}-55 }{2})[/tex]ĵ
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What is the least common denominator of the equation StartFraction 2 Over 9 EndFraction x + two-thirds x = 7? 3 9 27 63
Answer:
9
Step-by-step explanation:
i just did my test and i checked and it was right
Answer:
The answer is 9
Step-by-step explanation:
Just did the test and I got 100%
Preston adopted a cat from a rescue shelter. He needs to buy some cat litter, so he compares prices at different stores. He finds the best deal at Fluffy Felines Pet Shop, which sells a 20-pound jug of cat litter for $8.60. How much does the cat litter cost per pound?
Answer: 0.43
Step-by-step explanation: divide
A man spend 2500 per month for four months and runs into debts. He then reduces his expenses 1750 per month and just clears of his debts after eight months Find his income per month?
Answer:
Step-by-step explanation:
Let the income per month be S
Total income in 8 months = 8 S .
Total expenses in four months = 2500 x 4 = 10000
Total expenses in next four months = 1750 x 4 = 7000
Total expenses = 17000
According to question
Total income in 8 months = Total expenses
8 S = 17000
S = 2125 per month .
Which expression represents the difference (3b+8)−(5b−2)?
−2b+10
8b+10
−2b+6
8b+6
Answer:
-2b+10
Step-by-step explanation:
(3b+8)−(5b−2)
Step 1: distribute the minus sign
3b+8−5b+2
Step 1: Subtract/add like terms
3b-5b+8+2= -2b+10
Answer: -2b+10
Answer:
-2b+10
Step-by-step explanation:
(3b+8)-(5b-2)
= 3b+8-5b+2
=3b-5b+8+2
=2b+10
If angle 1 and angle 2 are vertical angles then angle 1 and angle 2 are congruent
Answer:
[tex]\large\boxed{\textsf{True.}}[/tex]
Step-by-step explanation:
[tex]\textsf{This is a True or False question, where we are asked if vertical angles are equal.}[/tex]
[tex]\Large\underline{\textsf{What are Vertical Angles?}}[/tex]
[tex]\textsf{Vertical Angles are 2 angles that are opposite from each other, and are formed by}[/tex]
[tex]\textsf{the same, straight lines.}[/tex]
[tex]\textsf{Because they're formed by the same lines and are opposite from each other, vertical}[/tex]
[tex]\textsf{angles are congruent to each other.}[/tex]
[tex]\boxed{\mathtt{\angle 1 \cong \angle2}}[/tex]
A shop sold 14 white shirts, 24 pink shirts, and 28 blue shirts, what is the radio of The number of pink shirt soul to the number of blue shirt sold?
A: 1 to 6
B: 4 to 11
C: 6 to 7
D: 6 to 13
Answer: Your Answer is C, hope this helps!
Step-by-step explanation:
how do you know that the repeating decimal 0.555... can be written as a fraction
Answer:
555/1000
Step-by-step explanation:
I guess it is the answer.
What is the y-value of point A?
Answer: 1
The full term is (6,1)
Answer:
1
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
CLICK ON PHOTO FOR QUESTION. ALOT OF POINTS GIVEN :)
Answer:
I'll answer ur next Question for sure =D
Step-by-step explanation:
Town A has 14,700 residents and covers 42 square miles. Town B has 58,000 residents and covers 116 square miles. Which comparison is accurate?
Town A has 150 more residents per square mile than town B.
Town B has 150 more residents per square mile than town A.
Town A has 585 more residents per square mile than town B.
Town B has 585 more residents per square mile than town A.
Answer: b town b has 150 more residents per square mile than town A
Step-by-step explanation:
Answer:
Town B has 150 more residents per square mile than town A.
Step-by-step explanation:
I got it right on edge 2021 :) I hope its right and that you have an amazing day you amazing person :DD
Mr. Perkins wants to rent a car for a day. It will cost the daily fee of $75 plus $0.55 per mile driven, which expression shows the amount he will pay if m=the number of miles driven?
A. 75m+.55
B. 75+0.55m
Answer:
B. [tex]75 + 0.55m[/tex]
Step-by-step explanation:
We know that the constant is $75. You only pay this once.
Whereas $0.55 you pay per mile. Which means that you will multiply 0.55 by how many miles you drive.
This means that the equation will look like:
[tex]75 + 0.55m[/tex]
Hope this helps! :)
greatest common factor.
32+44
Answer:
I'm pretty sure its 76
hope this helps
Pls helpppp I want good grades
I believe the answer is 2.7 but I'm not sure...
Answer:
2 7/9
Step-by-step explanation:
I think this is the answer. when you have a -- its adds. So i added the 3 to the -2/9.
Is this the correct answer?
Answer:
yes
Step-by-step explanation:
a tube is stretching
Answer:
h
Step-by-step explanation:
What is the image point of (1,0) after a translation right 1 unit and up 4 units?
Answer:
(2,4)
Step-by-step explanation:
hope this helps :)
Answer:
(1,0) + 4 up and + 1 right
The answer is (2,4)
The sales tax in Texas is 8.25% and an item costs $400. How much is
the tax?
Answer:
Step-by-step explanation:
400*8.25%= $33 tax
3. Which relation is a function?
what is the value of (3/4)³
Answer:
27/64 or 0.421875
Step-by-step explanation:
= 3^3 / 4^3
= 27 / 64
I hope this helps
Answer:
[tex]\frac{27}{64}[/tex]
Step-by-step explanation:
We cube the 3 (3^3),which makes 27 and cube the 4(4^3), which makes 64
Write a linear function f with f(5)=7 and F(-2)=0.
Answer:
f(x)=x+2
Step-by-step explanation:
Slope= (7-0)/(5-(-2)) = 7/7 = 1
Y-intercept= 2
substitute the slope, 1, for m and the y-intercept, 2, for b to get:
f(x)=x+2
hope this helps!
The linear function f with f(5)=7 and F(-2)=0 is f(x) = x + 2
f(5) = 7
This means when x = 5 , y = 7
(5, 7)
f(-2) = 0
(-2, 0)
This implies when x = -2 , y = 0
Using the linear function formula,
y = mx + b
where
m = slope
b = y-intercept
Therefore, the function can be represented as follows:
m = 0 - 7 / -2 - 5 = -7 / -7 = 1
Therefore,
y = x + b
0 = -2 + b
b = 2
The function in relation to x can be represented as follows:
f(x) = x + 2
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Factor completely. (x^2 – 4)(x^2 + 6x + 9)
This is the same as (x-2)(x+2)(x+3)^2. The order of the factors doesn't matter.
===============================================
Explanation:
x^2-4 factors to (x-2)(x+2) after using the difference of squares rule
x^2+6x+9 factors to (x+3)(x+3) after using the perfect square trinomial factoring rule
So overall, the original expression factors to (x-2)(x+2)(x+3)(x+3)
We can condense this into (x-2)(x+2)(x+3)^2 since (x+3)(x+3) is the same as (x+3)^2
-------------------
Side notes:
Difference of squares rule is a^2 - b^2 = (a-b)(a+b)The perfect square trinomial factoring rule is a^2+2ab+b^2 = (a+b)^2if x=3 which shape has a greater perimeter
Answer:
Quadrilaterial 1
Step-by-step explanation:
(–6)² – (–7)²
I need a step by step process.
What is 5(x+8)=7x+38
Simplify your answer as much as possible
Answer:
5*(x+8)-(7*x+38)=0
5 • (x + 8) - (7x + 38) = 0
2 - 2x = -2 • (x - 1)
-2 • (x - 1) = 0
-2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
x-1 = 0
x = 1
What fraction of 34 it will take to make 23?
Answer:
34 = 2 × 17
Step-by-step explanation:
To reduce a fraction divide the numerator and the denominator by their greatest common factor, GCF
the slope of the line represented by 3x-5y=-15
Answer:
i think its 3/5
sorry if im wrong:(
Step-by-step explanation:
Answer:
Since the equation '3x + 5y = 15' is transformed to slope-intercept form 'y = (-3/5)x + 3' the slope is (-3/5).
Step-by-step explanation:
Since the equation '3x + 5y = 15' is transformed to slope-intercept form 'y = (-3/5)x + 3' the slope is (-3/5).
What is the solution to the system of equations graphed below?
(2, 4)
(4,2)
(0.6)
(6.0)
Answer:
(4,2)
Step-by-step explanation:
You can see the point where lines crossed.
Hope this helps you.
would this be correct?
Answer:
Yes it is absolutely right.
1)
Bill and John competed in the “Shot Put" event in their school's track
meet. Bill threw the shot 21 feet and 6 inches, while John threw the
shot 17 feet and 4 inches. How much greater was Bill's throw than
John's?
Answer:
4 feet and 2 inches
Step-by-step explanation:
First, find the difference between the number of feet in their throws:
21 - 17
= 4 feet
Since Bill's throw had 6 inches while John had 4 inches, subtract 2 inches from the 4 feet that we calculated earlier.
This gets us 4 feet and 2 inches, since there are 12 inches in a foot.
So, Bill's throw was 4 feet and 2 inches greater than John's.
