An airplane takes off at a speed S of 226 mph at an angle of 18° with the horizontal. Resolve the vector S into components.
Answers
Velocity=226mph
Angle made with horizontal= 18°
The vector components would be [tex] 226~sin18° \hat{j} + 226~cos18° \hat{i} [/tex]
The vector components of Speed is [tex]\rm v_x[/tex] = 226 cos 18° and [tex]\rm v_y[/tex] = 226 sin 18°
What is a Vector ?
An parameter that has both magnitude and direction is called a vector.
It is given that
Speed S = 226 mph
Angle = 18 degree with the horizontal
The vector component are
[tex]\rm v_x , v_y[/tex]
here these are x and y components of the vector
V is the magnitude = |v| = 226
The vector component is given by
cos [tex]\rm \theta[/tex] = [tex]\rm v_x[/tex] / |v|
[tex]\rm v_x[/tex] = 226 cos 18°
[tex]\rm v_y[/tex] = 226 sin 18°
Therefore the vector components of Speed is [tex]\rm v_x[/tex] = 226 cos 18° and [tex]\rm v_y[/tex] = 226 sin 18°
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Related Questions
Find the value of x
A. 7
B. 8
C. 10
D. 15
Answers
Explanation:
5 x
__ = __
3 6
(cross multiple)
30 3x
__ = __
3 3
(divide 30 and 3)
x=10
help please. 10 points yall.
Answers
Explanation:
multiply each term in parentheses by 2
2a+2x+3b
calculate the product
2a+6b
1. Find the measure of the side indicated (x). Round to the nearest tenth. Show your work to support your
answer
Answers
Answer:
Is this for a Trig class? just wondering
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
we want to find the Hypotenuse (Hyp) and are given an angle and the adjacent side (adj) sooo use CAH , b/c it has all of the pieces
Cos(37) = Adj / Hyp
Cos(37) = 11 / Hyp
swap Cos(37) and Hyp... an algebra trick you should know from college algebra or where ever you learned algebra
Hyp = 11 / Cos(37)
now solve with your handy TI 83 / 84 / 89 calculator :) if you don't have one go get one . :D get the 89 if you are going into engineering classes... the 83 /84 if not. (obviously there are many many other good choices, i'm not really a calculator salesman on the side :D )
Hyp = 13.77349...
Hyp = 13.8 ( rounded to nearest 10th ) :)
Answer:
13.8
Step-by-step explanation:
cos37 = 11/x
0.79863551 = 11/x
x = 11/0.79863551 = 13.77 or 13.8
The base of an ice cream cone has a radius of 4cm and the cones height is 12cm
Answers
Answer:
V=201.06
Step-by-step explanation:
V=πr2h
3=π·42·12
3≈201.06193
An exam has 40 multiple-choice questions, each with 5 choices. Only 1 of the 5 choices for each
question is correct. If you used a table of random digits to randomly choose your answer on all
questions, about how many answers would you expect to get correct?
Select one:
O
a. 40
O
b. 0
0
C. 20
d. 8
e. 5
I will give a brilliant if the answer was correct
Please helppp
Answers
Answer:
D.8
Step-by-step explanation:
Since your chance of success is only 1 out of 5 or rather, 20%, so
40 divided by 5 equals 8, so the answer is D.
(Of course, this is just what SHOULD happen, not what CERTAINLY can happen.)
Expected number of answers to be correct = 8.
What is probability?Measure of the likelihood of an event happening is called Probability. Probability can be between 0 to 1. 0 means the event cannot happen, 1 indicates the specific event. The sum of the probabilities of all events in the sample space is 1.
Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event. For a trial with “n” number of results, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is as follows.
Probability (Event) = Favorable Outcome/Total Outcome = x/n
Given,
Number of questions = 40
One of 5 choices is correct
then, probability of getting correct option = 1/5
Number of correct answers = 40 × 1/5 = 8
Hence, 8 answers are expected to be correct.
Learn more about probability here:
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You are having a wedding with 243 guests. If each
table holds 8 guests, what is the least number of tables
you must have to seat all of the guests?
Answers
What is Theoretical Probability in your own words ?
Answers
Answer:
Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes. The result is a ratio that can be expressed as a fraction (like 2/5), or a decimal.
Step-by-step explanation:
The length of a chord is 22 cm and that chord is 5 cm from the center of the circle. What is the length of the diameter ?
Answers
Answer:
The circle's diameter is approximately 24.2 cm
Step-by-step explanation:
You can use the Pythagorean theorem to solve this, my realising that the 5cm distance of the chord represends one side of a right triangle, half the chord's length is the other side, and the hypotenuse of the two is the circle's radius. With that we can say:
r = √(11² + 5²)
r = √(121 + 25)
r = √146
Now we can double that to get the diameter:
r = 2√146
r ≈ 24.2
1) A store sells small and large TV sets in the ratio 2:3. The total stock is 70
sets.1) How many small and large sets are in stock? 2)If the number of large
sets is increased by 8,what is the new ratio of small to big*
Answers
Answer:
(a)
[tex]Small = 28[/tex]
[tex]Large = 42[/tex]
(b)
[tex]Ratio = 14 : 25[/tex]
Step-by-step explanation:
Given
[tex]L = Large\\ S = Small[/tex]
[tex]S : L = 2 : 3[/tex]
[tex]Total = 70[/tex]
Solving (a): Number of each set.
The small set is calculated as:
[tex]Small = \frac{S}{S + T} * Total[/tex]
[tex]Small = \frac{2}{2+3} * 70[/tex]
[tex]Small = \frac{2}{5} * 70[/tex]
[tex]Small = 0.4 * 70[/tex]
[tex]Small = 28[/tex]
Using complement rule.
[tex]Large = Total - Small[/tex]
[tex]Large = 70 - 28[/tex]
[tex]Large = 42[/tex]
Solving (b): Increase large by 8.
The ratio is then calculated as:
[tex]Ratio = Small : Large + 8[/tex]
[tex]Ratio = 28 : 42 + 8[/tex]
[tex]Ratio = 28 : 50[/tex]
Divide by 2
[tex]Ratio = 14 : 25[/tex]
Question 6 (Essay Worth 6 points) (05.03)Sue has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. Six-sided polygon that includes two isosceles right triangles, one with height and base of 25 feet, the other height and base of 8 feet, and one rectangle measuring 35 feet by 8 feet.
Answers
Answer The answer is 544
Step-by-step explanation: You can make two triangles and a rectangle. The triangle at the left top you do:
25 x 8= 200
The triangle at the bottom you do:
8 x 8= 64
The rectangle which is in the middle you do:
35 x 8= 280
Then you add all of them to get your answer:
280 + 200 + 64= 544
Hope this helped
Answer:
someone give this man branliest
Step-by-step explanation:
Which ones supplementary?
Answers
Answer:
D)
Step-by-step explanation:
Choice A is vertical angle
Choice B is complementary
Choice C is corresponding angle
Marcie baked several pies. She used 4 cups of flour for the dough. How many pints of flour did she use?
I have to turn this is Immediately please
Answers
Answer:
well if several means 3 then she used 12 pints.
Step-by-step explanation:
3X4=12
4X4=16
5X4=20 and so on.
jorge is playing football. he carries the ball forward 52/3 yards and then moves backwards 1 foot . how far forward is the ball, in feet, from were jorge stared carring the ball.
Answers
Answer:
17 feet
Step-by-step explanation:
52/3= 17 1/3
1 foot is 1/3 of a yard
17 1/3- 1/3 = 17
Brainliest for correct answer
Answers
Answer:
113.04
Step-by-step explanation:
IM SO SORRY IF ITS WRONG
Can anyone help me with this all i need is an explanation on how to do it?
Answers
Answer:
x = 24
Step-by-step explanation:
Ok so basically the angles shown are vertical angles
One of the properties of vertical angles is that they are congruent
That being said we would use this equation to solve for x
120 = 5x
then you would solve for x
*isolate the variable*
step 1 divide each side by 5
120/5=24
5x/5=x
we're left with x = 24
I hope this helps and if you have anymore questions feel free to ask! :)
if x = –2 ,then find the value of x³ –2x + 1
Answers
Answer:
- 3
Step-by-step explanation:
Substitute x = - 2 into the expression , that is
(- 2)³ - 2(- 2) + 1
= - 8 + 4 + 1
= - 3
Ms. Spencer has 15 students in her class. She asks each
student how many siblings they have. She wants to see
which number of siblings is the most common in the class.
Would a dot plot or a histogram be a more appropriate way to display the
data for this situation?
O A. A histogram, because Ms. Spencer wants to show how the data
fall into different intervals or ranges.
B. A histogram, because Ms. Spencer wants to show all of the
individual data values.
O C. A dot plot, because Ms. Spencer wants to show all of the
individual data values,
O D. A dot plot, because Ms. Spencer wants to show how the data fall
into different intervals or ranges.
PREVIOUS
Answers
Answer:
A dot plot, because Ms. Spencer wants to show all individual data values.
Step-by-step explanation:
ap3x approved
Simplify the following expression.
(3x−6)+(5x−5)
PLEASE I NEED HELP
Answers
Answer:
8x-11
Step-by-step explanation:
3x+5x=8x
-6+-5=-11
8x-11
Answer:
8x-11 hope nthisbelps sorry if im wrong
Step-by-step explanation:
WILL MARK BRAINLIEST
Solve for x.
60
10
20
120
Answers
Answer:
x = 10
Step-by-step explanation:
Let's draw the center of the circle S and the segments SE and SD.
SE is perpendicular to EF (as EF is tangent to circle).
That means FED + DES = 90deg
We also know that DSE = 120deg
And because the SED is an isosceles triangle, we know that angle measures for DES and SDE are equal.
DES = (180deg - 120deg) / 2 = 30deg
FED = 90deg - DES = 90deg - 30deg = 60deg
7x - 10 = 60
7x = 70
x = 10
Which of the following variables is most likely to be used as quantitative?
Choose the correct answer below.
ZIP code
Country of birth
Flash drive capacity
Car manufacturer
Answers
At a bird sanctuary, the population of bluebirds is 120 and is increasing 4% annually. How many bluebirds will there be in 8 years?
Answers
4% of 120 is 4.8 birds. So the population is increasing by 4.8 each year. 4.8 x 8 years = 38.4
120 + 38.4 = 158.4
Assume we have two lines which are parallel. If one line has a slope of -1/11
what is the slope of the other line? Enter your answer as an integer or fraction
in lowest terms
Is urgent no link please
Answers
A person that is 5 ft tall that casts a shadow of 4 ft is standing next to a tree that is 9 ft tall. How much of a shadow will it cast?
Answers
Answer:
8 ft tall
Step-by-step explanation:
the person that is 5 ft has a shadow that is 4 foot so its 1 foot off because the direction that the sun's facing you
the measures of a triangle are in the ratio 2:3:5. what are the measures of the angles?
(give all 3 angle measurements pls)
Answers
9514 1404 393
Answer:
36°, 54°, 90°
Step-by-step explanation:
We have to assume that the given measures are angle ratios, not side ratios. Sides in the ratios 2:3:5 will not form a triangle.
For some multiplier x, the angle values will total 180°.
2x +3x +5x = 180
x = 180/(2+3+5) = 18
Then the angle measures are ...
2x° = 2·18° = 36°
3x° = 3·18° = 54°
5x° = 5·18° = 90°
The angle measures are 36°, 54°, and 90°.
Is (3,11) a solution to the equation y= 5x-4
Answers
5. Casey's bank account offers him 2% interest every year, given by the equation
g(x)= 1.02. If Casey deposits $5,625 in his bank account, which equation
represents the amount of money that will be in his account after 2 years?
Answers
Answer:
Casey will have 5852.25 in his bank account after 2 years.
Step-by-Step Explaination:
2%=0.02
0.02*5625=112.5
112.5+5625=5737.5
0.02*5737.5=114.75
114.75+5737.5=5852.25
Find the median of the table 20 22 24 26
Answers
Answer:22
Step-by-step explanation:
20 20 20 22 22 24 26 26 26
22 is in the middle, which is the median.
HELP ME PLEASE I NEED HELP PLEASE
Answers
Answer:
From top to bottom:
35 - 7
-10 - -2
15 - 3
-20 - -4
25 - 5
Sorry If I am wrong
|y-x|,if y>x pls dont write in absolute value
Answers
Answer:
The answer is y-x
Step-by-step explanation:
Applying the rule that |y| = y when y>0, we can plug in the values of y-x instead of y.
So, |y-x| = y-x if y>0
if x is equal to –2, then find the value of 3x² + 5x
Answers
Answer:
2
Step-by-step explanation:
3*(-2)to power of 2 + 5*-2
= 3*4 + 5*-2
= 12 + -10 = 2
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