The vector A is (49.9m) x and vector B is (1.5m) x.
In the given question, A − B = (−51.4m)x, C =(62.2m)x, and A +B +C =(13.8m)x.
Find the vector A. Find the vector B.
We may disregard the vector x and treat the issue as an arithmetic one since all of the measurements are in the same direction (simultaneous equations).
A − B = −51.4.............................(1)
C = 62.2.............................(2)
A + B + C = 13.8.............................(3)
Now putting the value of C from Equation (2) in Equation (3)
A + B + C = 13.8
A + B + 62.2 = 13.8
Subtract 62.2 on both side, we get
A + B = 13.8 - 62.2
A + B = - 48.4.....................(4)
Adding the equation (1) and (4), we get
2A = - 99.8
Divide by 2 on both side, we get
A = - 49.9
Now subtracting the equation (1) and (4), we get
2B = -48.4 - ( -51.4)
2B = 3
Divide by 2 on both side, we get
B = 1.5
Since all of the calculations are done in terms of the unit vector x.
So the answer is vector B = (1.5m) x and vector A = (49.9m) x.
To learn more about vector link is here
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PLEASE HELP WILL MARK BRAINLIEST HELP QUICK
Answer:
first one is 16,956m^2 second one is 6 in
Type equation for the line shown in the graph
Answer:
y = [tex]\frac{1}{2}[/tex] x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, 5) ← 2 points on the line
m = [tex]\frac{5-3}{2+2}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 5 ) , then
5 = 1 + c ⇒ c = 5 - 1 = 4
y = [tex]\frac{1}{2}[/tex] x + 4 ← equation of line
The circle shown has a radius of 4 cm.
Not drawn
to scale
Х
What is the length of the diameter of the circle?
Answer:
8 cm
Step-by-step explanation:
:)
The proportion of twins born in a town is p = 0.12. Suppose we randomly select 100 women from this town who
give birth in the next year. Which is the best description of the shape for the sampling distribution of ?
skewed left
skewed right
uniformly distributed
approximately Normal
Answer:
D: Approximately Normal
Step-by-step explanation:
I got it right on edg.
A shipping container is in the shape of a right rectangular prism with a length of 5 feet, a width of 12.5 feet, and a height of 14 feet. The container is completely filled with contents that weigh, on average, 0.78 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answer:
102 pounds
Step-by-step explanation:
Volume of Right rectangular prism = 12 * 8.5 * 4 = 408 cubic feet
Density = Mass / Volume
=> 0.25 = Weight of contents in container / Volume of container
=> 0.25 = Weight of contents in container / 408
=> Weight of contents in container = 0.25 * 408
=> Weight of contents in container = 102 pounds
Answer:
683lb
Step-by-step explanation:
PLEASE HELP ASAP AND PLS HURRY NO LINKS
Samantha and her children went into a grocery store and she bought $7 worth of bananas and peaches. Each banana costs $0.40 and each peach costs $0.50. She bought a total of 15 bananas and peaches altogether. Determine the number of bananas and the number of peaches that Samantha bought.
Answer: 10 peaches and 5 bananas
Step-by-step explanation:
To solve the problem increase the cost by adding more peaches and less by adding more bananas
7 peaches = 3.50
8 bananas = 3.20 + 3.50 = 6.70
We need 30 more cents so add three more peaches
10 peaches = 5
5 x 0.4 = 2
2 + 5 = 7
14
km
Find the area of the triangle.
A)
52 km2
B)
84 km2
C)
168 km2
D)
336 km2
Answer:
its D
336 km2
Step-by-step explanation:
This app is so bad nowadays. No one answers your questions and if they do they respond with useless links...
Answer:
I know. It's a pain. I just put tons of points on and that seems to attract people.
Step-by-step explanation:
the sum of 2 times a number and 4 equals 3
HELP ASAP
Answer:
The number is - ½
Step-by-step explanation:
Let the missing number be x
2x + 4 = 3
2x = 3 - 4
2x = - 1
x = - ½
Answer:
-1/2
Step-by-step explanation:
you have to make it like this and use a variable:
2x+4=3
take away 4 from both sides:
2x= -1
divide by 2:
x = -1/2
For 0 ≤ ϴ < 2π, how many solutions are there to tan(StartFraction theta Over 2 EndFraction) = sin(ϴ)? Note: Do not include values that are undefined for tan or sin(ϴ).
Answer:
3 solutions:
[tex]\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}} [/tex]
Step-by-step explanation:
So, first of all, we need to figure the angles that cannot be included in our answers out. The only function in the equation that isn't defined for some angles is [tex]tan(\frac{\theta}{2})[/tex] so let's focus on that part of the equation first.
We know that:
[tex]tan(\frac{\theta}{2})=\frac{sin(\frac{\theta}{2})}{cos(\frac{\theta}{2})}[/tex]
therefore:
[tex]cos(\frac{\theta}{2})\neq0[/tex]
so we need to find the angles that will make the cos function equal to zero. So we get:
[tex]cos(\frac{\theta}{2})=0[/tex]
[tex]\frac{\theta}{2}=cos^{-1}(0)[/tex]
[tex]\frac{\theta}{2}=\frac{\pi}{2}+\pi n[/tex]
or
[tex] \theta=\pi+2\pi n[/tex]
we can now start plugging values in for n:
[tex] \theta=\pi+2\pi (0)=\pi[/tex]
if we plugged any value greater than 0, we would end up with an angle that is greater than [tex]2\pi[/tex] so, that's the only angle we cannot include in our answer set, so:
[tex]\theta\neq \pi[/tex]
having said this, we can now start solving the equation:
[tex]tan(\frac{\theta}{2})=sin(\theta)[/tex]
we can start solving this equation by using the half angle formula, such a formula tells us the following:
[tex]tan(\frac{\theta}{2})=\frac{1-cos(\theta)}{sin(\theta)}[/tex]
so we can substitute it into our equation:
[tex]\frac{1-cos(\theta)}{sin(\theta)}=sin(\theta)[/tex]
we can now multiply both sides of the equation by [tex]sin(\theta)[/tex]
so we get:
[tex]1-cos(\theta)=sin^{2}(\theta)[/tex]
we can use the pythagorean identity to rewrite [tex]sin^{2}(\theta)[/tex] in terms of cos:
[tex]sin^{2}(\theta)=1-cos^{2}(\theta)[/tex]
so we get:
[tex]1-cos(\theta)=1-cos^{2}(\theta)[/tex]
we can subtract a 1 from both sides of the equation so we end up with:
[tex]-cos(\theta)=-cos^{2}(\theta)[/tex]
and we can now add [tex]cos^{2}(\theta)[/tex]
to both sides of the equation so we get:
[tex]cos^{2}(\theta)-cos(\theta)=0[/tex]
and we can solve this equation by factoring. We can factor [tex]cos(\theta)[/tex] to get:
[tex]cos(\theta)(cos(\theta)-1)=0[/tex]
and we can use the zero product property to solve this, so we get two equations:
Equation 1:
[tex]cos(\theta)=0[/tex]
[tex]\theta=cos^{-1}(0)[/tex]
[tex]\theta={\frac{\pi}{2}, \frac{3\pi}{2}}[/tex]
Equation 2:
[tex]cos(\theta)-1=0[/tex]
we add a 1 to both sides of the equation so we get:
[tex]cos(\theta)=1[/tex]
[tex]\theta=cos^{-1}(1)[/tex]
[tex]\theta=0[/tex]
so we end up with three answers to this equation:
[tex]\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}} [/tex]
Answer:
its D. 3
Step-by-step explanation:
for speed runners
Solve for the given variable in the equation: ½ n - 3 = 5
n = _______
Answer:
The correct solution is "n = 16".
Step-by-step explanation:
The given equation is:
⇒ [tex]\frac{1}{2} n-3=5[/tex]
On adding "3" both sides, we get
⇒ [tex]\frac{1}{2} n-3+3=5+3[/tex]
⇒ [tex]\frac{1}{2}n=8[/tex]
On applying cross multiplication, we get
⇒ [tex]n=8\times 2[/tex]
⇒ [tex]n=16[/tex]
What Is the difference between the number of students who earned a score 90 or greater In class 2 and the number of students who earned a 90 or greater in class 1
Answer:
1
Step-by-step explanation:
1/2 of 12 students scored a 90 or above in class 2, which is 6
1/4 of 20 students scored a 90 or above in class 2, which is 5
6 - 5 = 1
product of 2 and the difference between t and 1 is 14
Answer:
2x + t - 1 =14
Step-by-step explanation:
give me brainliest plz and hope this helps also i am very good at math so that is a reassurance that this is correct
Quinn is a contestant on a quiz show. Quinn's score changes by -15 points for 4 questions in a row. ) What is the total change in Quinn's score?
Answer: Quinn is a contestant on a quiz show. Quinn's score changes by -15 points for 4 questions in a row. ) What is the total change in Quinn's score?
hope this help :}
Jason and Pam recently bought a house. They financed the house with a $250,000, 30-year mortgage with a nominal interest rate of 77% compounded monthly. Mortgage payments are made at the end of each month. What would be their house payment?
Answer:
Annual payument (PMT)= $1,663.19
Step-by-step explanation:
Giving the following information:
Loan (PV)= $250,000
Monthly interest rate (i)= 0.07/12= 0.005833
Number of periods (n)= 12*30= 360 months
To calculate the monthly payment, we need to use the following formula:
Annual payument (PMT)= (PV*i) / [1 - (1+i)^(-n)]
Annual payument (PMT)= (250,000*0.005833) / [1 - (1.005833^-360)]
Annual payument (PMT)= $1,663.19
a jug holds 2 cups of liquid. a recipe for fruit punch is 1/2 cups of orange juice. 1/4 cup of raspberry juice, 3/8 cups of grapefruit juice, and 5/8 cups of lemonade. the the jug big enough for the punch? explain
The length of a rectangle is the sum of the width and 1. The area of the rectangle is 20
units. What is the width, in units, of the rectangle?
Answer:
4 units
Step-by-step explanation:
Create an equation where w is the width of the rectangle
Use the area formula, A = lw.
Since the length is the sum of the width and 1, it can be represented by w + 1
Plug in this and the area into the formula, and solve for w
A = lw
20 = (w + 1)(w)
20 = w² + w
w² + w - 20
(w + 5)(w - 4)
Solve for w:
w + 5 = 0
w = -5
w - 4 = 0
w = 4
Since the width cannot be negative, the answer must be 4.
So, the width of the rectangle is 4 units.
Answer:
Solution :-We know that
Area = Length × Width
Area = w + 1 × w
Area = w² + w
w² + w - 20
w² + (5w - 4w) - 20
(w + 5)(w - 4)
Either
w = -5
or w = 4
Breadth can't be negative
So,
Breadth = 4 units
Solve x/3 = 9.
anyone wanna help lol?
Answer:
x=27
Step-by-step explanation:
Answer:
The answer would be 27
Step-by-step explanation:
Times three by nine to get the value of x.
QUADRATIC EQUATIONS HELP
Answer:
[tex](x-12)^2[/tex] & [tex] 144[/tex]
Step-by-step explanation:
The Equation given to us is ,
[tex]\implies x^2 -24x + \cdots [/tex]
Here we need to find the value of the blank such that it is a perfect square.
This can be in the form of ,
[tex]\implies (a-b)^2 = a^2+b^2-2ab [/tex]
On looking at equation ,
[tex]\implies x^2 -2(12)x + \cdots [/tex]
For the whole equation to be whole square , the number that should replace the blank is 12² .
[tex]\implies x^2 -2(12)x + 12^2\\\\\implies (x-12)^2[/tex]
Therefore 144 should be added .
348.562 in expanded form:
Answer:
300 plus 40 plus 8 plus 0.5 plus 0.06 plus 0.002
A group of people are fundraising, and each person raises a certain amount of money for every mile they walk. Each person's fundraising is
represented below using d for the dollars that person raises and w for the miles that person walks
Answer:
lk
Step-by-step explanation:
on
(8,1), (-2,-5) midepoint
Answer:
(3, -2)
Step-by-step explanation:
The x-coordinate of the midpoint of the line segment connecting (8, 1) and (-2, -5) is -2 plus half the horizontal distance from -2 to 8, which is 10, or 5. We add 5 to -2, obtaining 3 units.
The y-coordinate of the midpoint is found similarly. The vertical distance between the two given points is 1 - (-5), or 6 units. Half of that is 3 units. Adding 3 units to -5 yields -2.
The midpoint is (3, -2).
Thus, the coordinates of the midpoint at (-7, 6)
how do you get from 1/12 to 2/3? please hurry, i am confused
Answer:
to get to 2/3 from 1/12, add 7/12 to 1/12.
Step-by-step explanation:
8/12 is equivalent to 2/3
Help me grade 9! Thankyou
Answer:
got ya
Step-by-step explanation:
Which is the opposite of -5?
Answer: 5
Step-by-step explanation: 5*-1=-5
⚠️ ⚠️ ⚠️ PLEASE HELP ASAP!! THIS IS LATE! :(
Which answer best summarizes the state's responsibilities to the national government under the Articles of Confederation?
A. States had to pay taxes set by Congress and provide soldiers during war time.
B. States had to provide representatives to Congress but soldiers were sent only to state militaries.
C. States sent representatives to Congress and provided soldiers and some officers to protect the country.
D. States provided money in the form of taxes, sent representatives to Congress, and had to supply soldiers during war.
Answer:
i think the answer would be b
Step-by-step explanation:
sorry if i am wrong
Please help pleaseeee I really need answers only
☁️ Answer ☁️
5. IS E (none of these)
Because I got:
-125y^5/162x
6. X = 5/3
Hope it helps.
Have a nice day noona/hyung.
Answer:
5. C. (250xy⁴)/2436. C. x = 5/3
Based on the figure, which of the following equations is also true?
с
A sin 38°
17
17
B cos 38°
с
17
cos 52°
с
с
D tan 52°
17
Answer:
The correct answer is B.
Step-by-step explanation:
Because you know two of the angles in a triangle are 90° and 52°, you can infer that the third angle is 38°. There is a trigonometry rule that states the sine of an angle is equivalent to the cosine of 90° minus that angle, which you can apply to here. Since [tex]Sin(52[/tex]°[tex])[/tex] = [tex]\frac{17}{c}[/tex], you know that [tex]Cos(90[/tex]°[tex]-52[/tex]°[tex])[/tex] or [tex]Cos(38[/tex]°[tex])[/tex]also equals [tex]\frac{17}{c}[/tex], so choice B is the correct answer.
Θ lies in quadrant III, φ lies in quadrant I. cos θ = -8 /17 , cos φ = 15 /17 . What is cos (θ - φ)?
Answer:
cos(θ - φ) is -240/289
Step-by-step explanation:
The given parameters are;
The location of θ = Quadrant III
The location of φ = Quadrant I
cos(θ) = -8/17
cos(φ) = 15/17
By trigonometric identities, we have;
cos(θ - φ) = cos(θ)·cos(φ) - sin(θ)·sin(φ)
Given that 'θ' is in quadrant III, we have;
sin(θ) is negative
By Pythagoras' theorem, we have;
∴ sin(θ) = -√(17²- 8²)/17 = -15/17
Whereby 'φ' is in quadrant I, by Pythagoras' theorem, we have;
sin(φ) = √(17² - 15²)/17 = 8/17
∴ cos(θ - φ) = (-8/17) × (15/17) + (-15/17) × (8/17) = -240/289 = -0.83044982699
I need help on this question (^～^;)ゞ
Answer:
which part bro I need to know at least