Vector u has a magnitude of 4 with a direction of 50°. Vector v has a magnitude of 6 with
a direction of 25°. Which vector components represent the sum of u + v?
Answer: <8.01, 5.60>.
Step-by-step explanation:
Vector:
[tex]v= (r\cos\theta,r\sin\theta)[/tex]
, where r = magnitude and [tex]\theta[/tex] = angle .
As per given,
[tex]u=(4\cos 50^{\circ}, 4\sin 50^{\circ})\\\\\approx(4(0.64),4(0.77))\\\\=(2.56, 3.08)[/tex]
[tex]v=(6\cos 25^{\circ}, 6\sin 25^{\circ})\\\\\approx(6(0.91),6(0.42))\\\\=(5.46, 2.52)[/tex]
Consider
[tex]u+v=(2.56,3.08)+(5.46,2.52)\\\\=(2.56+5.46,3.08+2.52)\\\\=(8.02,\ 5.60)[/tex]
Hence, the correct option is <8.01, 5.60>.
me pueden ayudar a contestarlo!!
por favor!!
Answer:
english!? sorry
Step-by-step explanation:
Solve this quadratic equation using the quadratic formula
(3 - y)(y + 4) = 3y - 5
The 3rd one please!
I’ll mark you the brainliest!!!!
Answer:
around 150 to 170 votes
Step-by-step explanation:
exactly atleast 160
An ironwoman race involves 3 swim legs and a beach run back to the start as shown in the figure.
What is the total distance covered in the race?
Answer:
593 m
Step-by-step explanation:
Total distance covered = perimeter of the trapezoid
= 100 + 75 + 250 + the length of the slant side (2nd swim)
Apply Pythagorean theorem to find the slant side (hypotenuse) since it forms a right triangle if we consider the distance between the parallel bases of the trapezoid.
Thus, let "x" represent the side length we are looking for.
Applying Pythagorean theorem, we have:
x² = 75² + (250 - 100)²
x² = 75² + 150²
x² = 28,125
x = √28,125
x = 167.705098 ≈ 168 m
✔️Total distance covered = 100 + 75 + 250 + 168 = 593 m
Shayla's ndeshare fare from the airport was $28.50, and she added a 15% tip. How much did Shayla pay in total?
Answer: 15 percent of 28.50 is 4.275
So 28.50 + 4.275 = 32.775
So $32.77
Answer:
32.78 100% correct did usa test prep
Step-by-step explanation:
During a sale, a shopkeeper reduced the prices of all his goods by 25%.
Calculate the normal selling price of a pair of shoes which was sold for Rs 1350 in the sale.
let be the real price x :
x - x × ( 25/100 ) = 1350
x - x × ( 1/4 ) = 1350
x - x/4 = 1350
4x - x / 4 = 1350
3x / 4 = 1350
3x = 1350 × 4
3x = 5400
x = 5400 ÷ 3
x = Rs 1800
HELLPPPP ITS DUE TODAYYY!!!
Answer: 3/10, 0.3, 30%
Step-by-step explanation: If you count the shaded rectangles individually, you can find the numerator and denominator of the fraction. For the decimal, it would have to be 0.3 because 0.3 has "three-tenths", which is 3 in the tenths place. For the percentage, 3/10 is equal to 30/100 because 30/100 can be simplified to 3/10.
I hope you find this helpful, have a nice day.
In a class of students, the following data table summarizes how many students passed
a test and complete the homework due the day of the test. What is the probability that
a student chosen randomly from the class did not complete the homework?
Answer:
7/27
Step-by-step explanation:
the amount of students total is 27 people because you just add all of the values in the chart together.
after that, you need to find how many student didn't do the homework, and the amount is 7 because 3 students passed the test but didn't complete their homework and 4 students failed the test and didn't complete their homework.
estimate the following product in scientific notation, and then select best answer for the products power of 10.
(8.91 x 10²)(3.3 x 10¹²)
A. 2.7
B. 14
C. 15
D. 27
C is the correct answer.
what is the value of (-35) • (-5/7)
Answer:
56
Step-by-step explanation:
25
We'll start by getting rid of the negatives, because a negative times a negative equals a positive.
Multiply the whole number by the numerator first, then divide by the denominator.
35 x 5 = 175
175/7 = 25
factorise completely
a). 3xy - 9x
b). x² - 4
c). 2x² + 5y + 1
Answer:
a) 3x(y-3)
b) (x-2)(X+2)
Step-by-step explanation:
See the steps below:) You can also use the app photo math, you take a picture and it will give you the answer and explain the steps:)
The radius of a circle is 2 inches. What is the area of a sector bounded by a 45° arc?
Answer:
Step-by-step explanation:
Area = angle / 360 * pi * r^2
angle = 45
r = 2
pi = 3.14
Area = 45 / 360 * 3.14 * 2^2
Area = 365.2 / 360
Area = 1.57 square inches.
Answer:
a = π/2 in² Exact answer
a = 1.5707963268 in² Decimal approximation
Step-by-step explanation:
a = (∅/360) * πr²
a = (45/360) * π(4)
a = π/2 in² Exact answer
a = 1.5707963268 in² decimal approximation
5 of 12
A car travels a distance of 180
km in a time of 3 hours.
What is the car's average
speed?
Answer: The Cars Average Speed Will Be 60Mph.
Helpppppppppppp plsssssssssssssssssssssssssss!
Answer:
<FGH and <JKL are supplementary
<AED and <BEC are complementary
Step-by-step explanation:
For supplementary angles, the sum of the pair of angles must be 180degrees
Given;
<FGH = 109degrees
<JKL = 71degrees
Taking the sum
<FGH + <JKL
= 109 + 71
= 180
Since the sum of the angles is 180, hence <FGH and <JKL are supplementary
Similarly;
Given
<AED = 45degrees
<BEC = 45degrees
Taking the sum
<AED + <BEC
= 45 + 45
=90degrees
Since the sum of complementary angles is 90degrees, hence <AED and <BEC are complementary
What is the first step in solving the following equation:
−1\2x − 33 = 33
Answer:
add 33 to both sides
Step-by-step explanation:
Given
- [tex]\frac{1}{2}[/tex] x - 33 = 33 ( add 33 to both sides )
- [tex]\frac{1}{2}[/tex] x = 66 ( multiply both sides by - 2 to clear the fraction )
x = - 132
Answer:
First step is to make x the subject of the equation.
Step-by-step explanation:
[tex]-\frac{1}{2} x - 33 = 33\\\\-\frac{1}{2} x= 33 + 33\\\\-\frac{1}{2} x = 66\\\\- x = 2 \times 66 = 132\\x = -132[/tex]
At a lunch stand, each hamburger has 50 more calories than each order of fries. If 2 hamburgers and 3 orders of fries have a total of 1700 calories, how many calories does 3 orders of fries have
Answer: 960 calories
Step-by-step explanation:
Given
Each hamburger has 50 more calories than each order of fries
Suppose each order of fries has [tex]x[/tex] calories
so, hamburger has [tex]x+50[/tex] calories
There are total of 1700 calories available. Thus, we can write
[tex]\Rightarrow 2(x+50)+3x=1700\\\Rightarrow 2x+3x=1700-100\\\Rightarrow 5x=1600\\\Rightarrow x=320[/tex]
So, each order of fries has [tex]320[/tex] calories
For 3 orders, it is [tex]320\times 3=960[/tex] calories
Help plz..And No links!! I repeat No links!!
Answer:
4m
Step-by-step explanation:
shapes are similar.
purple shape is double the red and 2x2 is four
so the answer is 4m
Answer:
a = 4m
Step-by-step explanation:
1m side is 2m, that 1 x 2
Therefore 2m side will 2 x 2 = 4m
the function f(x) is graphed below. if f(n)=0 what is the value of n?
Answer:
n = 6
Step-by-step explanation:
f(n) = 0 is on the n- axis at (6, 0 )
When f(n) = 0 then n = 6
What are the dimensions of the tabletop with the
leaves open? Round to the nearest tenth of a foot. Someone please answer I need this for extra credit :))
Answer:
Dimensions of the tabletop is 2.8 cm × 2.8 cm.
Step-by-step explanation:
From the picture attached,
ABCD is a tabletop with leaves AEG, BEF, CFH and GDH.
Dimensions of the tabletop ABCD,
Length = AB
Width = BC
Coordinates of A → (1, 3)
Coordinates of B → (3, 5)
Coordinates of C → (5, 3)
Coordinates of D → (3, 1)
Length of segment = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
AB = [tex]\sqrt{(3-1)^2+(5-3)^2}[/tex]
= [tex]\sqrt{4+4}[/tex]
= [tex]2\sqrt{2}[/tex]
≈ 2.8 units
BC = [tex]\sqrt{(5-3)^2+(3-5)^2}[/tex]
= [tex]\sqrt{4+4}[/tex]
= [tex]2\sqrt{2}[/tex]
= 2.8 units
Therefore, dimensions of the tabletop is 2.8 cm × 2.8 cm.
Describe the transformation of f(x) to g(x).
A. f(x) is shifted down units to g(x).
B. f(x) is shifted up units to g(x).
C. (x) is shifted up 2 units to g(x).
D. f(x) is shifted down 2 units to g(x).
Answer:
D
Step-by-step explanation:
BROOO CAN SOMEONE HELP ME !!!!!!!!!!!!!!!!
Answer:
BA = 12 cm
Step-by-step explanation:
BC = 5 because it is an isosceles triangle.
Then we use the Pythagorean Theorem on triangle ABD that [tex]\sqrt{13^{2} - 5^{2} }[/tex]= BA
That means that [tex]\sqrt{169 - 25} = \sqrt{144} = 12 = BA[/tex]
The answer is 12 cm
I need the answer ASAP
Help please thank you!
Answer:
Step-by-step explanation:
W(-4,-10) lies on third quadrant.
M(-12,0) lies on second quadrant or can say in x axis
C(8,3) lies on first quadrant.
K(11,-5) lies on fourth quadrant.
Simplify the expression. Write your answer in positive exponent form:
(9^3) ^3
Answer:
[tex]9^{6}[/tex]
Step-by-step explanation:
Asking me to write 20 words don't read this this is junk.
the radius of a circle is 6cm. the diameter of this circle is ____cm
hellppppp
Answer:
12
Step-by-step explanation:
radius is half of diameter
Thє rαdíus f α círclє ís 6 cm. thє díαmєtєr σf thís círclє ís 12 cm .
➟ Rαdíus ís thє hαlf σf círclє
Solve for the given variable.
88°+46°=6c + 4
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]88 + 46 = 6c + 4 \\ 134 = 6c + 4 \\ 134 - 4 = 6c \\ 130 = 6c \\ \frac{130}{6} = c \\ 21.66 = c[/tex]
⎆ The value of c = 21.66.# ꧁❣ RainbowSalt2²2² ࿐
Police use breath analyzer to detect the level of alcohol in drivers. Which property of alcohol is used in breath analyzers? A. reducing properly B. oxidising property C. denaturing property D. dehydrating property
Answer:
not good destroy body mind effect
Niall has half dollar mary has a tenth of a dollar and jack has a hundredth of a dollar if they combine their money do the 4 students have more or less than a dollar
Answer: Students have less than a dollar.
Step-by-step explanation:
Niall has $1/2
Mary has $1/10
Jack has $1/100
Add these up to see if they reach 1.
= 1/2 + 1/10 + 1/100
Convert to decimals by dividing the numerator by the denominator:
= 0.5 + 0.1 + 0.01
= $0.61
Students have less than a dollar.
what is the tan K? need help
Answer:
i have no clue
Step-by-step explanation: