A man is cycling in a place where wind is blowing. He travels 12 km against the direction of the blowing wind. In doing so, he took the same time while going 28 km in the direction of the wind. Find the speed of the wind. ( Hint - When the man is cycling in the direction of the wind, wind speed is added to his speed; otherwise it is subtracted.)

Answers

Answer 1

Answer:

The speed of the wind is 4.8 km/hr

Step-by-step explanation:

The parameters of the motion of the man are;

The distance the man travels in the given time while moving against the wind = 12 km

The distance the man travels in the giving time while going with the wind = 28 km

From search online for of a similar question, we have;

The speed with which the man is cycling = 12 km/hr

Let. 't', represent the time the travels each distance, let 'w', represent the speed of the wind and let 'v' represent the speed of the man, we have;

Time, t = Distance, d/(Velocity, v)

The resultant speed of the man when he travels against the wing = v - w

The resultant speed of the man when he goes in the the wing = v + w

Therefore, we have;

12/(v - w) = 28/(v + w)

12·v + 12·w = 28·v - 28·w

12·w + 28·w = 28·v - 12·v = 16·v

40·w = 16·v

∴ w = (16/40) × v = (2/5) × v

The speed with which the man is cycling = 12 km/hr

∴ The speed of the wind, w = (2/5) × v = (2/5) × 12 km/hr = 4.8 km/hr

The speed of the wind = 4.8 km/hr.


Related Questions

Write Each Ratio as a Percent

1. 14 losses in 50 games

2. 4/5 of the students ride the bus

3. if AB represents 25% what is the length of a line segment that is 100%?

A________________B
5ft

Answers

Answer:

28%

80%

20

Step-by-step explanation:

hope this helps

simplify (2/9 × 45/15) - 7/24​

Answers

I hope this helps! have an amazing day!

Answer:

3/8

Step-by-step explanation:

(2/9 x 45/15) - 7/24

45/15 = 3

(2/9 x 3) - 7/24

2/9 x 3 = 6/9 = 2/3

2/3 - 7/24

2/3 = 16/24

16/24 - 7/24 = 9/24

9/24 = 3/8

Dla każdej z liczb 20, 60, 150, 300, znajdź liczbę : a) o 10% większa, b) o 20% mniejszą, c) o 50% mniejsza,

Answers

Odpowiedź:

Prosimy sprawdzić wyjaśnienie

Wyjaśnienie krok po kroku:

Na numer: 20

a.) 10% więcej;

(1 + 10/100) * 20;

1,10 * 20 = 22

b.) 20% mniej

(1 - 20/100) * 20

0,8 * 20 = 16

c.) 50% mniej

(1 - 50/100) * 20

0,5 * 20 = 10

Dla numeru 60:

a.) 10% więcej;

(1 + 10/100) * 60;

1,10 * 60 = 66

b.) 20% mniej

(1 - 20/100) * 60

0,8 * 60 = 48

c.) 50% mniej

(1 - 50/100) * 60

0,5 * 60 = 30

Na numer 150;

a.) 10% więcej;

(1 + 10/100) * 150;

1,10 * 150 = 165

b.) 20% mniej

(1 - 20/100) * 150

0,8 * 150 = 120

c.) 50% mniej

(1 - 50/100) * 150

0,5 * 150 = 75

Dla numeru 300;

a.) 10% więcej;

(1 + 10/100) * 300;

1,10 * 300 = 33%

b.) 20% mniej

(1 - 20/100) * 300

0,8 * 300 = 240

c.) 50% mniej

(1 - 50/100) * 300

0,5 * 300 = 150

The price of a television is $567.31. The state sales tax rate is 8.3%.

What is the total cost of the television?

Answers

 

that in the image could be your answer but i rlly dont know thats the way I was taught

How many pounds are equal to 400 ounces

Answers

Answer: 25 pounds

Step-by-step explanation:

1 pound = 16 oz

400 oz / 16 oz = 25 pounds

I am not a professional, I am simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

I need help with geometry really bad, if you don’t mind answering this? And also if your good at geometry drop your number so I can get help

Answers

Answer:

127

Step-by-step explanation:

using the definition of a straight angle:

53+x=180

127

PLS HELP! i rly need help on this. it’s hard for me.

1: what is the name of that figure??
2: what would be the cross section from a vertical slice of the figure??

Answers

Answer:

The 3D solid shown in the image is a hexagonal pyramid. If we made a cross section with a vertical slice (top to bottom), we would have an isosceles triangle.

Useful Extra Knowledge:

However—and this isn't a question here, but just useful knowledge—if we made a cross section with a horizontal slice (left to right or right to left), we would have a regular hexagon. If it were a diagonal cross section, we would have an irregular hexagon.

Step-by-step explanation:

First, what's the difference between a sphere, a cylinder, a pyramid, a cone, and a prism? These are all 3D solids, but in your case, an explanation of what they are may be a good refresher:

A sphere is a 3D solid where every point is equidistant from the center point. Basically, it's a 3D circle. It's completely round.A prism is a 3D solid with straight, parallel sides and a polygonal base.A cylinder is a 3D solid with straight, parallel sides and a circular baseA pyramid is a 3D solid with sides that converge at a common vertex and a polygonal base.A cone is a 3D solid with sides that converge at a common vertex and a circular base.

We definitely know this shape can't be a sphere! It's not completely round! Actually, take a closer look: there's no hint of a circle anywhere in the figure. It can't be a cylinder nor a cone.

This means it's either a pyramid or a prism. But, going back to the definitions above, let's redefine the difference between the two: pyramids have only one base and only triangular faces, while prisms have two bases and rectangular faces.

How many bases does this figure have? It has one base. And what shape are its faces? They're all triangles! This means we have to be looking at a pyramid.

So, you may think, that solves it. We're looking at a pyramid.

Sorry, buddy. It's not that easy. We can classify this figure even further. How do we do this? We use its base! And what type of polygon is the base? When we count the sides of the base, we find six sides, which means this shape is a hexagon. So this is a hexagonal pyramid, right?

Actually, there's one more specification we could give this. That hexagon has sides that are all equal to each other. That may not seem special to you, but there's a special term given to polygons who have equal sides and equal inner angles: they are called regular polygons.

That description matches the base of our shape, right? So, now we have the name of the figure: it's a regular hexagonal pyramid.

Now, what about the cross section? This means we're taking a piece of that solid, like cutting into a cake with a knife. Who likes cake here?

I digress. This piece, the cross section of the 3D solid, becomes a 2D shape. Now, the question asks for the shape of a vertical cross section, which means up and down, like the y-axis on the coordinate plane/Cartesian plane.

So, imagine taking a butter knife and slicing right down the middle of that bad boy. If you get the middle point exactly, you'll have two equal halves which would look like triangles with two equal sides: an isosceles triangle.

That's assuming you look straight on at them. If you veered to the side a little, you'd find a scalene triangle (a triangle with no equal sides).

But, should you miss the center a little, you'd get a trapezoid instead, because part of the top would be missing.

But I'm assuming the question is asking about a vertical slice exactly down the middle and viewed straight on. In that case, your answer is an isosceles triangle.

I droned on for a bit, I know. But hopefully this helps you understand the concept better! Have a great day!

first come first served:)

Answers

Answer:

2.

gold beads to silver beads

table: 6:9  12:18  24:36  30:45

equivalent ratios: 4:6 10:15 20:30 100:150

3.

A.33

B.1.2

Step-by-step explanation:

2.

the rule is, gold beads x 1 1/2 = silver beads

3.

A. 165/5=33

B.9.60/8=1.2

hope this helps have a blessed day :)

DEF is a right angled triangle calculate the length of EF correct to 3 sigificant figures

Answers

Answer:

[tex]\displaystyle EF \approx 15.9[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = 28°

Adjacent Leg = EF = x

Hypotenuse = DF = 18

Step 2: Solve for x

Substitute in variables [Cosine]:                                                                    [tex]\displaystyle cos28^\circ = \frac{x}{18}[/tex][Multiplication Property of Equality] Multiply 18 on both sides:                  [tex]\displaystyle 18cos28^\circ = x[/tex]Evaluate trig:                                                                                                  [tex]\displaystyle 18(0.882948) = x[/tex]Multiply:                                                                                                          [tex]\displaystyle 15.8931 = x[/tex]Rewrite:                                                                                                          [tex]\displaystyle EF = 15.8931[/tex]Round:                                                                                                             [tex]\displaystyle EF \approx 15.9[/tex]

Mrs. Dyson is making trail mix for Christmas gifts. She needs 4 cups of nuts, 6 ups of raisins, and 5 cups of chocolate chips. What percent of the trail mix are
raisins
HINT: Use Part to Whole and Reduce

A.60%
B.40%
C.6%
D.15%

Answers

Answer:

b

Step-by-step explanation:

15/6=2.5

100/2.5=40

Smart people answer please

Answers

7x+700 is greater than or equal to 1150
7 is the price of the shirts, x is the amount of shirts, 700 is the extra money they had and that needs to be at least 1150 dollars.

Answer:

what the other guy said

Step-by-step explanation:

lol

Rayann has 4 bracelets , Jennifer has 8 bracelets, June has 3 bracelets, and Tammy has 5 bracelets. They want to redistribute the bracelets so that each girl has the same number of bracelets. If the bracelets are redistributed, how many should each girl get?

Answers

Answer:

B) 5

Step-by-step explanation:

They have a total of 4+8+3+5 = 20 bracelets

There is 4 girls

20/4 = 5

Gilbert took 2 hours longer to drive 240 miles on the first day of a business trip than to drive 144 miles on the second day. If his rate was the same both days, what was his driving time for each day?

Answers

Answer:

dyvhbCNN mfg beneficialgVCR specializations acknowledgement

In a recent survey of 655 working americans ages 25-34, the average weekly amount spent on lunch was $43.29 with standard deviation $2.75. The weekly amounts are approximately bell-shaped

Answers

Answer:

99.7%

Step-by-step explanation:

Given that:

sample size (n) = 655

sample mean ([tex]\overline x[/tex]) = 43.29

Standard deviation [tex]\sigma[/tex] = 2.75

Let's assume we are to estimate the percentage between $33.72 and $51.54

Then;

The test statistics at 33.72 is :

[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]Z = \dfrac{33.72 -43.29}{2.75}[/tex]

[tex]Z = -3.48[/tex]

Z at 51.54

[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]Z = \dfrac{51.54 -43.29}{2.75}[/tex]

[tex]Z = 3.00[/tex]

Using the empirical standard rule, the percentage will be 99.7%

HELP I NEED HELP ASAP

Answers

Answer:

constant... I think... sorry if it's wrong... just trying to help ;-;

Step-by-step explanation:

Hope this helped! Good luck! :)

Answer:

linear

Step-by-step explanation:

if you put it into an equation, it would be y = 5 + 2x, which is a linear (straight line) equation

- (cd2 + 4c + 21)

simplify it?

Answers

Answer: = -cd^2 - 4c - 21

Step-by-step explanation:

It‘s suppose to read negative cd the 2 is squared - 4c - 21

CONVERTING METRIC UNITS - LENGTH WEIGHT & VOLUME 1
2)
2 kg =
B
1)
1 kg =
g
4)
2 cm =
mm
3)
1 cm =
mm
6)
2 km =
m
5)
1 km =
m
8)
2 L =
ml
7)
1 L =
mL
10)
2 m =
cm
9)
cm
1 m =
Which is the most? Circle the largest amount in each box.
1 L
1 m
560 m
2,000 cm
1 kg
1,250 mL
80 cm
300 g
980 mL
1 km
120 mm
950 g
greater than (>), less than (<) or equals (=) to compare the amounts.
2)
1 m
75 cm
590 mL
1L
1 km
250 m
2 cm
4)
20 mm
7 cm
50 mm
2 m
6)
250 cm
4 m
350 cm
8)
1 kg
-,200 g
10)
3m
2 L
20 mL
300 cm
12)
500
Om
1 km
4 kg

Answers

Answer:

2 KM 2 L 2 KG I dont know the rest i figured i could help someone but thats all i can do at the moment sorry i might come back to finish it later.

Step-by-step explanation:

Jen rode her bike 15of a mile to her friend's house. It took her 5 minutes to get there. What was Jen's speed?

Answers

Answer:

2.4MPH

Step-by-step explanation:

Use the principle of rate x time:

(1/5)*5=1

1 mile per 25 minutes= 2.4 mph

MARK AS BRAINLIEST

Please help ten points

Answers

A=70 degrees
B=55 degrees
C=25 degrees

MATH HOMEWORK! 20 points

Answers

Answer:

×=-1 or x=2/3

Step-by-step explanation:

yeah yeah yeah

Answer:

x=-1 , x=2/3

Step-by-step explanation:

x=-b+/- sqr root b^2-4ac/2a

x=-1+/ sqr root 1^2-4(3)(-2)/2(3)

x=-1+/- sqr root 25/6

Split into two outcomes

x=-1+5/6

x=2/3

x=-1-5/6

x=-1

Add.
-1 + 2 = 1
- 6 + (-5)

Answers

Answer:

-6 + -5 = -11

Step-by-step explanation:

AB=
Round your answer to the nearest hundredth

Answers

Answer:

Step-by-step explanation:

2/sin25=AB/sin90

 AB=4.73

Please I need help
Write the equation for a parabola with a focus at (1,-4) and a directrix at x = 2.
X=?

Answers

Answer:

Step-by-step explanation:

The directrix is a vertical line, so the parabola is horizontal. The focus lies to the left of the directrix, so the parabola opens to the left.

For a left-opening parabola:

x = a(y-k)²+h,

a < 0,

vertex (h,k)

focal length p = 1/|4a|

focus (h-p, k)

directrix: x=h+p

Apply your data

focus (1,-4)

directrix x=2

vertex (1.5,-4).

focal length p = 0.5

a = -1/|4p| = -½

x = -½(y-2)²+ ½

can someone please help me u can just do 5 and explain please


¿Puede alguien ayudarme? Puedes hacer 5 y explicar por favor.

Answers

Answer:

i only can explain until number 7

i am sorry

maybe that help you

Suppose f(x) = 3x^2 - 2x... Find f(-4)​

Answers

Let x equal to -4 and substitute into the original function f(x)
f(-4)=56

help asap pleaseeee (if u do ily)))

Answers

Answer:

B) 120

Step-by-step explanation:

180 - 60 = 120

Hope that helps!

Answer:

B. 120

Step-by-step explanation:

its bigger than 90 so i did process of elimination

Please help!!!!!!!
thank you for helpingggggg

Answers

x=27
have a good day:)

Answer:

x = 9

Step-by-step explanation:

5x * 135 = 180

180 - 135 = 45

5x = 45

5 ÷ 5 = 0

45 ÷ 5 = 9

X = 9

The y-intercept is the point where the line crosses the


A. origin


B. slope


C. y-axis




D. x-axis

Answers

Y axis
.................
Y-axis
________________________

3) Solve the System of Equations using Elimination/Combinations.
-2x-y=-4
x+2y=5

Answers

Answer:

[tex]y = 2 \\ x = 1[/tex]

Step-by-step explanation:

[tex]y = 2 \\ x = 1[/tex]

Evaluate the expression when x = 2.5 and y = 6.
5xy

Answers

Answer:

75

Step-by-step explanation:

5(2.5)(6)

5*2.5*6

=75

Answer:

75

Step-by-step explanation:

5*(6x2.5)

6x2.5=15

15x5=75.

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