Using vector concepts, it is found that the components of the velocity are given as follows:
North: 205.21 mi/h.East: 563.82 mi/h.How can a vector be represented in i and j notation?Given a magnitude M and angle [tex]\theta[/tex], the a vector V can be represented as follows:
[tex]V = M\sin{\theta}i + M\cos{\theta}j[/tex]
In which:
i is the horizontal(east/west) component.j is the vertical(north/south) component.In this problem, we have that the magnitude and the angle are given as follows:
[tex]M = 600, \theta = 70^{\circ}[/tex]
Hence the north component is:
[tex]600\cos{70^{\circ}} = 205.21[/tex]
And the east component is:
[tex]600\sin{70^{\circ}} = 563.82[/tex]
More can be learned about vectors at brainly.com/question/24606590
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Problem 3: If a single six-sided die is rolled five times, what is the probability that a six is thrown exactly three times
Answer:
So the probability that a die thrown 5 times will result in a 6 exactly 3 times is 0.03215.
Step-by-step explanation:
HOPE IT HELPS I'M FILIPINO STUDENTS
Pls answer will give brainiest
Answer:
D. is your answer
a line with slope -2 passes through the point (-2,3). What is the equation of the line?
Which graph represents the function y = 2x - 4?
ТУ
2
2
.
4
X +
x
-4 -3 -2 -1
X
TO
O
-3 -2 -1
2.34
Answer:
the third graph.
the one where x intercept with 2
Step-by-step explanation:
2x-4=0
2x=4
x=2
therefore the graph should have a line that have a x-intercept of 2
Pls answer, will award brainliest
1.00065528... Is the correct answer.
-2-(3(x+6)-9-(7-x)-3x
Answer:
- 24 - 5x
Step-by-step explanation:
1) Remove Parentheses
-2 - 3x - 6 - 9 - 7 + x - 3x
2) Collect like terms
( -2 - 6 - 9 - 7) + (-3x+x-3x)
3) Simplify
hey I need someone to help me
Answer:
A and F
Step-by-step explanation:
You plug in each one and see which ever one gets 20.
How much did i paint if i painted 3/4 of 3/4 of a wall
Answer:
(4) 1/4x = 3/4 (4)
1x=3
Step-by-step explanation:
3/4 x
÷ = ÷
1/4 1
(4) 1/4x = 3/4 (4)
1x=3
Second Graph problem! Can anybody please help me out with this? (Almost done for today) (Algebra graph problem)
Answer:
x = -2
Step-by-step explanation:
The expression f(x) = 1 corresponds to the point on the graph that is 1 unit above the x-axis. You can locate that horizontal line and see where it intersects the graph. That point of intersection is 2 grid squares to the left of the y-axis, where x = -2.
f(-2) = 1
x = -2
Kelly watches 3/5 of a movie in 5/8 of an hour. How much time wil it take her to watch the entire movie?
well, putting the movie in fifths, she watched 3/5, the whole movie will be 5/5 = 1.
[tex]\begin{array}{ccll} \stackrel{movie}{fraction}&hour\\ \cline{1-2} \frac{3}{5}&\frac{5}{8}\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{3}{5}~~}{1}=\cfrac{~~ \frac{5}{8}~~}{x}\implies \cfrac{3}{5}x=\cfrac{5}{8}\implies \cfrac{3x}{5}=\cfrac{5}{8} \\\\\\ 24x=25\implies x = \cfrac{25}{24}\implies x = 1\frac{1}{24}\qquad \textit{1 hour, 2 minutes and 30 seconds}[/tex]
Solve the inequality -3/4(12x+16)<9-5x.
Answer:
x > -21/4
Step-by-step explanation:
Answer:
x > -24/4
Step-by-step explanation:
-3/4 (12x + 16) < 9 - 5x
-3/4 * 12x - 3/4 * 16 < 9-5x
-9x - 3/4 * 16 < 9 - 5x
-9x - 12 < 9 - 5x
-4x - 12 < 9
-4x < 21
i'll mark brainliest, thanks in advance!
Answer:
SSS
Step-by-step explanation:
are 2 isosceles right triangles congruent, have both sides and angles equal, so the answers are all valid, the simplest is SSS, 2 sides are the same and marked on the drawing, the third is the same accordingly
Matthew Bailey, as manager of Designs by Bailey, is upgrading his CAD software. The high-performance (HP) software rents for $3,000 per month per workstation. The standard-performance (SP) software rents for $2,000 per month per workstation. The productivity figures that he has available suggest that the HP software is faster for his kind of design. Therefore, with the HP software he will need five engineers and with the SP software he will need six. This translates into a variable cost of $200 per drawing for the HP system and $240 per drawing for the SP system. At his projected volume of 80 drawings per month, which system should he rent?
Using linear functions, it is found that the high-performance system should be rented.
A linear function has the following format:
[tex]y = ax + b[/tex]
In which:
a is the slope, which is the variable cost.b is the y-intercept, which is the fixed cost.With the high-performance software:
Fixed cost of $3,000 per month, hence [tex]b = 3000[/tex].Cost of $200 per drawing, hence [tex]a = 200[/tex]Then, the model is:
[tex]C_{hp}(d) = 3000 + 200d[/tex]
With the standard-performance software:
Fixed cost of $2,000 per month, hence [tex]b = 2000[/tex].Cost of $240 per drawing, hence [tex]a = 240[/tex]Then, the model is:
[tex]C_{sp}(d) = 2000 + 240d[/tex]
The costs for 80 drawings, that is, [tex]d = 80[/tex] for both cases are given by:
[tex]C_{hp}(80) = 3000 + 200(80) = 19000[/tex]
[tex]C_{sp}(80) = 2000 + 240(80) = 21200[/tex]
Due to the lower cost, the high-performance system should be rented.
A similar problem is given at https://brainly.com/question/20849340
Which value of x is a solution of the inequality?
3x−3≥9
Answer:
It's probably X since X doesn't have a written number for it it equals 1.
Step-by-step explanation:
Lucus had a balance of $21 in his checking account. Since then he made deposits of $187, $445 and $454 and wrote checks for $74, $137, $139, and $240. When all of the deposits are recorded and all of the checks clear, what balance will he have in his checking account?
Based on the opening balance, the amounts deposited, and the amounts for checks, the balance in the account should be $517.
The deposits into the account will increase the balance whilst the checks will do the opposite.
The balance is therefore:
= Opening balance + Deposits - Checks
= 21 + 187 + 445 + 454 - 74 - 137 - 139 - 240
= 21 + 1,086 - 590
= $517
In conclusion, the balance will be $517.
Find out more at https://brainly.com/question/7177682.
Answer the following questions,
0
(a) What number is 95% of 80
0
(b) 85% of what is 51?
Answer:
95% of 80 is 76 and 85% of 60 is 51.
Step-by-step explanation:
Answer:
a. 76, b. 60.
Step-by-step explanation:
a) 80 * 0.95 = 76.
b) 0.85 x = 51
x = 51/0.85 = 60.
what is 10 divided by 8 equal?
Answer:
it is equal to 1.25
Step-by-step explanation:
hope it's helpful
Answer:
Decimal:
1.25
Mix Number:
1 1/4
Improper Fraction:
5/4
Step-by-step explanation:
10/8 is 1.25
In fraction it is 1 1/4 or 5/4
Hope this helps!
How many pounds are in 1 1/2 pounds and 8 ounces?
Answer:
2 pounds
Step-by-step explanation:
Because 8 ounces = 0.5 pounds
1.5+0.5=2
Gene has a gasoline budget of $275 per month. He uses an average of $6 of gasoline each day he drives. Which of the following equations represents how much money is left in his gasoline budget after x days of driving?
A. y=275-6x
B. y=275+6x
C. y=6x-275
D. y=275x-6
Answer:
d because your taking away 6 from the 275
Step-by-step explanation:
can someone please help me with my last question?
answer choices are -165, -120, 165, 120
Answer:
120
Step-by-step explanation:
If you graph out the two triangles, you can see that the rotation is close to an angle of 90 - 120 degrees. And the rotation is going counterclockwise into the positives (graph quadrant IV).
The chief engineer is in charge of deciding the mountainous road-network that will be kept open (cleared of debris and maintained regularly) during the winter months. Each road connects different small towns in the mountains, and all towns are connected to each other either directly or indirectly. Each road is associated with a value indicating the level of danger in maintaining that road during winter months. There are many subsets of roads such that the roads in such subsets keep the towns connected directly or indirectly. Each subset is assigned a cost of maintenance, which is directly proportional to the highest danger level of the road present in that subset. The engineer wants to select the smallest subset that keeps the towns connected directly or indirectly and that also has the lowest cost of maintenance. Develop an algorithm to find such a subset. Justify the correctness of your algorithm and derive its runtime.
Answer:
I dont know the answer to it
answer this question fast
Guys I really need some help with this one!
If anybody could help me out here I would be incredibly grateful! (Simple algebra problem involving functions)
Answer:
f( 1 ) = 3
Step-by-step explanation:
Given the linear function, f(x) = -4x + 7, we could easily find f( 1 ) by substituting the value of the input, x = 1, into the function.
f(x) = -4x + 7
f( 1 ) = -4( 1 ) + 7
f( 1 ) = -4 + 7
f( 1 ) = 3
Therefore, the output value is f( 1 ) = 3.
Hi, I got 8 points off on this problem, can you help me figure out what I did wrong?
Answer:
Possible errors: Triangle classification and definition.
Step-by-step explanation:
An isoceles triangle has at least two congruent sides of the same length.
Given the triangle that has two equal angles, and that you'll have to prove that the triangle also has two equal sides.
Using the Converse of Isoceles Triangle Theorem, where it states that if a triangle has two congruent angles < PQR ≅ < PRQ, for which opposite sides of those angles are congruent:
The opposite side of <PQR is line PR.The opposite side of <PRQ is line PQ.Additionally, connecting point P to point X along the line QR such that PX ⊥ QR, divides △PQR into two symmetrical sections, where points Q and R are equidistant from point X.
Answer:
Possible errors: Triangle classification and definition.
help me does anyone know the answer to this? what is 4y+13=?
Answer:
I think Colorfulmusic is correct
Step-by-step explanation:
3.25 I'm pretty sure
Classify the triangle by both its
sides and its angles using the
choices provided. Choose all that
apply.
H
th
130°
커
O isosceles
equilateral
scalene
acute
obtuse
right
equiangular
Answer:
obtuse isosceles
Step-by-step explanation:
the dashes on the sides show congruency. since two sides have the same number of dashes those two sides are congruent. since the third side has 3 dashes instead of 2, it isn't congruent to the other two meaning the triangle is an isosceles triangle.
since the angle is >90, the triangle is obtuse
Please take a look at the picture
Answer:
D
Step-by-step explanation:
-6-(-5)=-6+5
=-1
Answer:
D) The number that is 5 to the right of -6 on the number line
Hope this helps :)
HELP!!!! ME PLSSSSSSSSSSSSSSSSSSSSS
Answer:
A for the Venn Diagram and B for the chart.
Step-by-step explanation:
1. Domain: (-2, -1, 0, 2)
Range: (-4, -2, 2)
2. Domain: (-4, 2, 1, 4)
Range: (-2, 1, 4, 4)
The domain represents the values of the independent variable (x) and the range represents the values of the dependent variable (y). The values of the independent variable are inputs that result in an output in a relation. The values in the range are outputs that correspond to inputs from the independent variable.
How to find answer to: 8% of ? = 20
Answer:
You have to do 8/100 * 20
Step-by-step explanation:
plz help me find this answer
Answer:
C
You have to check which of numbers is the lowest.
Cheers :D
