Answer:
<2.1130913087, 4.53153893518>; <−3.03108891325, −1.75>; <−0.91799760455, 2.78153893518>
Step-by-step explanation:
Bruce's vector is <5cos(90-25), 5sin(90-25)> = <5cos(65), 5sin(65)> ≈ <2.1130913087, 4.53153893518>
The wind's vector is <3.5cos(270-60), 3.5sin(270-60)> = <3.5cos(210), 3.5sin(210)> ≈ <−3.03108891325, −1.75>
You add them together to find his actual motion:
<−0.91799760455, 2.78153893518>
The vector representing Bruce's actual motion is [tex]<-0.91799760455, 2.78153893518>[/tex] and this can be determined by using the given data.
Given :
Bruce's speed when swimming in still water is 5 meters/second. He is swimming in a direction 25° east of north. The current is moving 3.5 meters/second at an angle of 60° west of south.The following steps can be used in order to identify Bruce's vector, the current's vector, and the vector representing Bruce's actual motion:
Step 1 - According to the given data, Bruce's speed when swimming in still water is 5 m/s and in a direction 25° east of north.
Step 2 - So, Bruce's vector is given below:
[tex]\rm = <5 cos(90-25),5sin(90-25)>[/tex]
[tex]\rm = <5 cos(65),5sin(65)>[/tex]
[tex]\rm = <2.1130913087, 4.53153893518>[/tex]
Step 3 - Also it is given that the current is moving 3.5 m/s at an angle of 60° west of south. So, wind's vector can be calculated as:
[tex]\rm = <3.5 cos(270-60),3.5sin(270-60)>[/tex]
[tex]\rm = <3.5 cos(210),3.5sin(210)>[/tex]
[tex]\rm = <-3.03108891325, -1.75>[/tex]
Step 4 - So, the actual motion is given by:
[tex]= <-0.91799760455, 2.78153893518>[/tex]
For more information, refer to the link given below:
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Work out the value of 58×5-2
54
Answer:
36
Step-by-step explanation:
58 times 5 is 290. 290-254 is 36
Question In the LINK!!!!!!!!!!!!!!!!!!!!
Answer:
The mean of the scores is by adding up all those numbers then dividing by how many there are.
So the answer is 146.6, but if you take away 3 it will be 143.6 then taking away the decimals it'll just be 143, it might be 143 but I might be incorrect.
what is 6 divide by 2 times 3 times 100 multiply by 700 and divide by 1.37 and multiply by 0.778 and then add 0.778913 times 100 time 10 time 1.77 then multiply by 444444.47 then divide by 7777777.0999 and then add 100.
MUST BE CORRECT OR I WILL REPORT YOU!!!
Answer:
~460032.8
Step-by-step explanation:
Essentially, when this is written out, we get:
6 ÷ 2 × 3 × 100 × 700 ÷ 1.37 × 0.778 + 0.778913 × 100 × 10 × 1.77 × 444444.47 ÷ 7777777.0999 + 100
Order of operations says to do multiplication and division first, so let's calculate 6 ÷ 2 × 3 × 100 × 700 ÷ 1.37 × 0.778 separately:
6 ÷ 2 = 3
3 × 3 = 9
9 × 100 = 900
900 × 700 = 630000
630000 ÷ 1.37 = 459854
459854 × 0.778 = 357766
Now calculate 0.778913 × 100 × 10 × 1.77 × 444444.47 ÷ 7777777.0999:
0.778913 × 100 × 10 × 1.77 × 444444.47 = 612744929
612744929 ÷ 7777777.0999 ≈ 78.78
Add these all up:
357766 + 78.78 + 100 ≈ 460032.8
Answer:
20622.58008
Step-by-step explanation:
6 divide by 2: 3
times 3: 9
times 100: 900
multiply by 700: 630000
divide by 1.37: 459854.0146
multiply by 0.778: 357766.4234
then add: 0.778913 × 100 × 10 × 1.77:
359145.0994
multiply by 444444.47: 1.5962 ×10¹¹
divide by 7777777.0999: 202522.58008
add 100: 20622.58008
The hardware store is having a 15% off sale on lawn mowers this weekend.If x is the original price of the lawn mower,what will be the final sales price,excluding tax?
Answer:
Final price f = 0.85x
Step-by-step explanation:
Let f represent the final price and
x is the original price of the lawn mower
Given;
The hardware store is having a 15% off sale on lawn mowers this weekend;
the final sales price,excluding tax will be equal to the original price minus 15% of the original price.
Final price f = 100% of x - 15% of x
Final price f = x - 0.15x
Final price f = 0.85x
Answer:
WHAT IS THE ANSWER?
Step-by-step explanation:
help mehhh
Convert/change 1/5 to a percent
Answer: 20%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 1/5 as a percent, we need to find a fraction equivalent to 1/5 that has a 100 in the denominator.
We can do this by setting up a proportion.
[tex]So[/tex] [tex]we[/tex] [tex]have[/tex] [tex]\frac{1}{5} = \frac{n}{100}[/tex].
Now, we can use cross-products to find the missing value.
So we have (1)(100) which is 100 is equal to (5)(n) or 5n.
So we have 100 = 5n.
Next, dividing both sides of the equation by 5, we have 20 = n.
So 1/5 is equal to 20/100 or 20%
What is the volume, in cubic in, of a rectangular prism with a height of 6in, a width of 10in, and a length of 2in?
The answer is 120
do 6 times 10 = 60
then 60 x 2 = 120 cubic in
120 cubic in is the volume of the rectangular prism.
What is volume?Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.
The volume of a rectangular prism is given by the formula:
V = lwh,
where l is the length, w is the width, and h is the height.
Plugging in the given values, we get:
V = (2 in) x (10 in) x (6 in)
V = 120 cubic in
Therefore, the volume of the rectangular prism is 120 cubic in.
Learn more about Volume here:
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If it takes 10 women 8 days to make 3 treehouses, how many days does it take 6 women to make 36 treehouses
Answer:
160 days
Step-by-step explanation:
If it takes 8 days with 10 women to make 3 tree houses, then the rate of woman per tree house is 3/80. Multiplying this by 6 and dividing by 36, you get a rate of 1/160 or 160 days. Hope this helps!
Solve the following trigonometric equations for all values of x | 0 < x < 360o. (12.5 pt. ea.)
1. 4 cos2 x = 3 2. 3 tan x = tan x – 2
Solve the equations for all values of θ | 0o < θ < 360o (12.5 pt. ea.)
3. 4 cos θ = – 4 4. – 1 – sin θ = – 4 – 7 sin θ
√ 2
Answer:
202
Step-by-step explanation:
4th answer
Sue biked 5 kilometers each day for 7 days. How many cm did she bike in all?
HELP ASP GIVING YOU 30 POINTS FOR THIS
Answer:
3,500,000
Step-by-step explanation:
Answer:
Sue biked 3,500,000 centimetres.
Step-by-step explanation:
First, multiply 5 km by 7 (days). 5 × 7 = 35 km
Convert the kilometres to centimetres.
There are 100,000 cm in a kilometer, so multiply:
35 × 100,000 = 3,500,000 cm.
The following table shows the number of points scored last basketball game by each player on the Dragons basketball team.
Player Number of points scored
Daniela 555
Isabella 888
Rafaela 111111
Beatriz 777
Kalin 99
FIND MAD
Answer:
[tex]1.6[/tex] - written in [tex]2/12/2021[/tex]
Step-by-step explanation:
The answer is [tex]1.6[/tex] because, [tex]\frac{5+8+11+7+9}{5} = 8[/tex] and [tex]8-5=3[/tex], [tex]8-8=0[/tex], [tex]11-8=3[/tex], [tex]8-7=1[/tex], and [tex]9-8=1[/tex].
So use all the sums and you'll get this: [tex]\frac{3+0+3+1+1}{5} =1.6[/tex]
This is exactly how I got the answer, I also did it on khan because I didn't trust the other person above me, and I got the same answer as him. So I did this to prove he's correct.
Answer:
7.4
Step-by-step explanation:
[tex](3 {x}^{3} ) + \sqrt{16 {x}^{12} } - 8 {x}^{4} [/tex]
solve
Answer:
3x^3 + 4x^6 - 8x^4 or
x^3( 4x^3 - 8x + 3).
Step-by-step explanation:
3x^3 + √(16x^12) - 8x^4
= 3x^3 + 4x^6 - 8x^4
We can factor this; to give
x^3( 4x^3 - 8x + 3)
Solve the equation below.
3(17x – 6.5) = 108
Answer:
x=2.5
Step-by-step explanation:
3(17x – 6.5) = 108
Divide each side by 3
3/3(17x – 6.5) = 108/3
17x - 6.5 =36
Add 6.5 to each side
17x -6.5+6.5=36+6.5
17x = 42.5
Divide each side by 17
17x/17 = 42.5/17
x = 2.5
Examine the diagram of circle P, where diameter CD¯¯¯¯¯¯¯¯ bisects chord AB¯¯¯¯¯¯¯¯ at point N.
Nestor is about to write a proof that CD¯¯¯¯¯¯¯¯⊥AB¯¯¯¯¯¯¯¯.
Which statements are true?
Select all that apply.
m∠APB=90∘
m∠BNP=45∘
m∠BNP=90∘
m∠ANP=90∘
m∠ANP=60∘
m∠APB=30∘
Answer:
the 3rd on
Step-by-step explanation:
Answer:
m∠BNP=90∘ and m∠ANP=90∘
Step-by-step explanation:
Looking at the diagram these are perpindicular which means they have 90 degree angles.
The box is 3/4 inch long, 1/2 inch wide, and 1,4 inch deep. What is the volume of the box.
Answer:
4/32
Step-by-step explanation:
3/4*1/2=3/8
3/8*1/4=4/32
Answer:
3/32 inch^3
Step-by-step explanation:
6 divided 2 (1+2) and 9 - 3 divided by 1/3 +1
Answer:
1
Step-by-step explanation:
Work between parenthesis first, so distribute the 2 into both digits within the parenthesis then add the together.
Now divide that number by the 6 at the beginning of the problem to get your first answer.
Now you work on the second part, divide 3 by 1/3 which would give you 9.
9-9=0
0+1=1
1 is your overall answer
Answer:
1 ; 18/4
Step-by-step explanation:
6/ 2(1+2) ; 9 - 3/(⅓ + 1)
6/ 2(3) ; 6/ (4/3)
6/6 ; 6 / (4/3)
1; (6×3)/4
1 ; 18/4
If 4+2=26 and 8+1=79 and 6+5=111 what is 7+3=?
*Please Show Work*
6x - 2y = 10
2x + 3y = 51
Solving the first equation above for y gives:
y =
X-5
DO NE
Answer:
y = 3x -5
Step-by-step explanation:
6x - 2y = 10
-6x. -6x
Inverse Operations
-2y = -6x + 10
÷-2. ÷-2. ÷-2
y = 3x - 5
Answer:
6x – 2y = 10
2x + 3y = 51
Solving the first equation above for y gives:
y = (3) x – 5
Which choice shows the result of substituting
3x – 5 into the second equation for y?
2(3x – 5) + 3x = 51
----------2x + 3(3x – 5) = 51 its B
2(3x – 5) + 3y = 51
Solving the equation 2x + 3(3x – 5) = 51
for x gives x =
---6.
The complete solution to the system is:
----(6, 13)
Step-by-step explanation:
Does the residual plot show that the line of best fit is appropriate for the data?
Yes, the points have no pattern.
No, the points are evenly distributed about the x-axis.
No, the points are in a linear pattern.
Yes, the points are in a curved pattern.
Answer:
No, the points are in a linear pattern.
Step-by-step explanation:
Residual = actual value - predicted value
So our residual points are:
1, -2.4
2, -4.9
3, -6.2
4, -6
5, -7.9
As evidenced in the image, the points follow a linear pattern.
Answer:
C
Step-by-step explanation:
5/4=y−14 help meeeee
Answer:
y= 61/4
Step-by-step explanation:
-y=-14-5/4
-y=-61/4
-1(-y=-61/4)
y= 61/4
how many 1/8 are in 1/2 a cup
Answer:
Add dem
Step-by-step explanation:
Just add dem and u will get our answer
Answer:
4
Step-by-step explanation:
Add 1/8 until, when simplified, it will equal 1/2:
1/8 + 1/8 = 2/8
2/8 + 1/8 = 3/8
3/8 + 1/8 = 4/8 = 1/2
4 1/8 are needed to get 1/2: (4 * 1)/8 = 4/8 = 1/2
Need help ASAP !! Anyone get this question ?
Answer:
1:3
Step-by-step explanation:
Down arrows: 4 out of 12
4:12
1:3
Answer:
4:12, 4 to 12, or 4/12
Step-by-step explanation:
this is so simple, first see how many down arrows are there
down arrows: 4
then count the total arrows
total: 12
down arrows to total arrows
4:12
Sam purchases five goldfish and an aquarium with a rectangular base. The aquarium measures twenty-four inches long, eight inches wide, and nine inches tall. Sam fills the aquarium. How many cubic inches of water are in Sam's aquarium?
Select one:
2,112 cubic inches
1,449 cubic inches
1,920 cubic inches
1,728 cubic inches
The volume of the water in Sam's aquarium cuboid is 1,728 cubic inches.
What is the volume of the cuboid?The volume of the cuboid is the product of the length, breadth, and height of the given prism.
Volume of cuboid = (length x width x height)
The aquarium measures are twenty-four inches long, eight inches wide, and nine inches tall.
Volume of cuboid = (length x width x height)
= 24 x 8 x 9
= 1,728 cubic inches
Thus, the volume of the cuboid is 1,728 cubic inches.
Learn more about cuboid;
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An isosceles triangle has an angle that measures 50°. Which other angles could be in that isosceles triangle?
The answer choices are
65°
80°
50°
30°
Plz help
Answer:
80
Step-by-step explanation:
An isosceles has 2 angles that are the same so 50+50 is 100 so we have 80 degrees left to make a full triangle because all angles will always add up to 180 so 50+50+80 is 180 degrees
which number gives you an irrational when u add it to 8?
A. sqt4
B. 5/9
C. -8
D. sqt5
Answer:
D. sqt5
Step-by-step explanation:
The best process is to start eliminate answers. It can not be C because
-8 + 8 =0. 0 is not an irrational number. Sqt4 is 2, 2+8=10. 10 is a real rational number. 5/9 is not an irrational number because it is a ratio of 5 to the non-zero quotient of 9. Sqt5 is the only irrational number, and when added to 8, it is still irrational.
A polynomial p has zeros when x = 1/5, x = -4, and x = 2.
What could be the equation of p?
Answer:
-3
Step-by-step explanation:
and
= -3
What could be the equation of p?
Choose 1 answer:
©
p(x) = 2(6x + 1)(x+3)
©
p(x) = 2(6x – ) (2 – 3)
© p(x) = + (6 +) (+3)
© pla) = = (***) (2-3)
Answer:
p(x) = (5x - 1) (x + 4) (x - 2)
Step-by-step explanation:
Which set of transformations would prove ALMN - APQR?
Dilate APQR by the scale factor of 2 from point R, and translate AP'Q'R' by the rule (X + 0, y - 1).
Dilate APQR by the scale factor of 2 from point Q, and translate AP'O'R' by the rule (x + 1, y + 0).
Translate APQR by the rule (X + 1, y + 1), and dilate AP'Q'R' by a scale factor of 2 from point P.
Translate APQR by the rule (x + 1, y - 1). and dilate AP'Q'R' by a scale factor of 2 from point R
Answer:
D. Translate ΔPQR by the rule (x + 1, y − 1), and dilate ΔP′Q′R′ by a scale factor of 2 from point R.
Step-by-step explanation:
I got it correct on the quiz, so you should to. Trust Me.
Answer: D: Translate ΔPQR by the rule (x + 1, y − 1), and dilate ΔP′Q′R′ by a scale factor of 2 from point R.
Step-by-step explanation:
NEED HELP ASAP. Write a positive or negative integer that represents the situation.
The temperature is 34 degrees below zero.
Answer:
-34
Step-by-step explanation:
Temperature = 34 degrees below zero
temperature= 0-34
temperature= -34
Answer:
- 34
Step-by-step explanation:
That the answer
What is the slope of the line? 7x+2y=57x+2y=5
Answer:
Step-by-step explanation:
Answer:
-7/2
Step-by-step explanation:
The value of the square root of 13 is between
Answer:uhhhhhhhhhhhhhhhhhhh 14
Step-by-step explanation:
14,500 people are sitting in a stadium. One of them is picked out. What are the chances that the person's birthday is on a Sunday?
Please give an accurate answer
There are 7 days in a week.
The probability of being on any one day of the week would be 1/7
So the probability of a persons birthday being on a Sunday would be 1/7
Answer:
WELL THERE 7 DAYS IN THE WEEK
Step-by-step explanation:
