A boat sailing at a speed of 35 mph set to head due west encounters a wind blowing 15 mph due south. What is the approximate resulting speed of the boat?

Answers

Answer 1

Answer:

38.08mph

Step-by-step explanation:

The question tells us that the speed of

Speed of boat = 35mph

Wind blowing = 15mph

We have to use the pythagorean theorem in other to find the resulting speed.

So,

Speed² = 35² + 15²

Such that

Speed = √35² + 15²

Speed = sqr(1225 + 225)

Speed = sqr(1450)

Speed = 38.08

The approximate resulting speed of the boat is therefore 38.08mph


Related Questions

Evaluate the following expression for x = 4.


1+3(x-1)-2x

Answers

Answer:

2

Step-by-step explanation:

1+3(x-1)-2x

Substitute the value of x into the equation:

1 + 3(4-1) -2 (4)

1 + 3(3)- 8

1 + 9 - 8

2

The rectangle has a length of -2x + 10 and a width of 10. a) Find the area of the rectangle and simplify.​

Answers

Answer:

Area = -20x + 100Perimeter = -4x + 40

Step-by-step explanation:

Given rectangle with

Length l = - 2x + 10 Width w = 10

To find

AreaPerimeter

Solution

A = lwA = (-2x + 10)*10 = -20x + 100P = 2(l +w) P = 2( -2x + 10 + 10) = 2( -2x + 20) = -4x + 40

Simplify the expression:
(2f - 6)(-3)

Answers

Answer:

Simplify the expression.

6f+18

Step-by-step explanation:

2p²q³×5pq÷10p³q⁴ answer it pls

Answers

p³q⁴

Step-by-step explanation:

given. 2p²q³ × 5pq ÷ 10p³q⁴

multiply. 10p³q⁴ ÷ 10 p³q⁴

Divide. p³q⁴

-) LaTanya is decorating her living room and draws
a floorplan to help look at placement.
A. LaTanya wants to hang a picture at the center
of the back wall. How do you find the point at
the center between A and B?

Answers

Step-by-step explanation:

First she need to measure the complete wall distance and then divide it by 2

(I just tried the answer, Sorry if it is wrong)

We need not go so depth in this question and find it logically.

What type of angles are ECH and FCG?

Answers

ECH is an acute angle.

FCG is also an acute angle.

Answer:

Vertical angles

Step-by-step explanation:

Vertical angles are angles formed by two intersecting lines, which the angles are facing the opposite direction. Also the angles are on the same vertice (point).

Find the midpoint of points A(-2,-8) and B(7,-4) graphically.

Answers

Answer:

The midpoint is (2.5,-6) or written as a fraction ([tex]\frac{5}{2}[/tex], -6)

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} ) \\MP= (\frac{-2+7}{2}),(\frac{-8+-4}{2} ) \\MP= (\frac{5}{2}),(\frac{-12}{2} ) \\MP= (2.5,-6 )[/tex]

Explain why the product of two
negative integers is not negative. Use (−1)(−1)
as an example.

Answers

Because if you want to know -2 *-2
The minus also have there multiplication
As we know (-*-)=(+)
(-*+)=(-)
(+*+)=(+)

pls help i need help 20 points

Answers

Answer:

[tex]63 \ cm^2[/tex]

Step-by-step explanation:

The area of a triangle is found using the following formula:

[tex]A = \frac{base * height}{2}[/tex]

The base of our triangle is 21 cm.

The height of our triangle is 6 cm.

[tex]A= \frac{6*21}{2} =3 * 21 = 63[/tex]

Our distance unit is cm, so our area will be in cm squared.

Answer: [tex]63 \ cm^2[/tex]

Answer:

63

Step-by-step explanation:

21 times 6, then divide by 2.

What is the domain and range

Answers

domain is x>1 and range is all real numbers

A pitcher throws a 98 mph fastball. How fast is this in feet/second?

Answers

Answer:

143.733 f/s

Explanation:

for an approximate result, multiply the speed value by 1.467

A jar contains 7 blue marbles, 3 red marbles, and 3 green marbles. You pick one marble without looking. What is the probability that the marble will be red? Answer as a fraction in the simplest form.

Answers

Answer:

7/13

Step-by-step explanation:

there are 13 marbles altogether and there is blue marbles the most

Does anyone know how to solve this? I really need help please.

Answers

Answer:

See Below

Step-by-step explanation:

angle BAK = 128

Find KAS

180 - 128 = 52

KAS = 52

find BKA and ABK

360 -128 = 232

232/2 = 116

BKA =116

ABK = 116

find AKS

180 - 116 = 64

AKS =64

Now you have KAS and AKS

add together and subtract sum from 360 to find BSK

52 + 64 = 116

360 - 116 =244

Let me know if incorrect, plz.

Hope this helps=)

g(a) = a + 2. Find f(-7).

Answers

Answer:

-5= g(a)

Step-by-step explanation:

assuming this is a typo and you meant to say g(-7).

-7 +2 = -5

what is the value of x/yz if x=-2 y=-3 & z=-4?

Answers

Answer:

- 1/3

Step-by-step explanation:

-2/-3(-4)=

-2/12=

-1/3

It’s geometry I need help

Answers

Answer: Parallel

Y=x will be on the point of the graph
Y= x+2 will be two units up but still positive so they will never interest

Step-by-step explanation:

Hey there!!

Let's check!

The equation are:

y=x

x - y = 0......(i).

y = x+2

x - y +2 =0......(i).

From equation (i).

[tex]slope(m1) = \frac{ - coeff. \: of \: x}{ coeff. \: of \: y} [/tex]

[tex]m1 = \frac{ - 1}{ - 1} [/tex]

Therefore the slopeof 1st equation is 1.

Now,

From 2nd equation.

[tex]slope(m2) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]

[tex]m2 = \frac{ - 1}{ - 1} [/tex]

Therefore the slope of equation 2 is 1.

As per the condition of parallel lines,

m1= m2

From both equation we got,

m1=m2=1

So, the lines are parallel.

For perpendicular,

m1×m2 = -1

1×1 is not equal to -1.

So, they are not perpendicular.

So, The answer is Option A.

Hope it helps....

Find f(2) for the following functions: f(x) = x - 14

Answers

Answer:

f(2) = - 12

Step-by-step explanation:

f(x) = x - 14

To find f(2) substitute the value of x that's 2 into f(x). That is for every x in f(x) replace it with 2

We have

f(2) = 2 - 14

We have the final answer as

f(2) = - 12

Hope this helps you

Here, we are given with a polynomial f(x)

[tex]f(x) = x - 14[/tex]

And we are asked to find f(2).....?

We can see that, 2 is in place of x. So for finding its value, we need to substitute 2 in place of x.

Substituting 2 in place of x:

[tex]f(x) = x - 14[/tex]

[tex]f(2) = 2 - 14[/tex]

Solving further,

[tex]f(2) = \boxed{- 12}[/tex]

And, we're done with the value of f(2)

#CarryOnLearning

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Which fraction has a repeating decimal as its decimal expansion?
3/25
3/16
3/11
3/8

Answers

Answer:

3/11

Step-by-step explanation:

3/11 equals 0.272727273 which is a repeating decimal.

Answer:

3/11 is C

Step-by-step explanation:

Please write:
1. y=-(x-6)^2+7 vertical compression or stretch
2. y=1/4(x+5)^2 vertical compression or stretch
3. y=4(x+1)^2-6 vertical compression or stretch

Answers

Answer:

1. No vertical compression or stretching but will open up downward.

2. 1/4 vertical stretch

3. 4 vertical compression

Step-by-step explanation:

Any time your dealing with vertical stretching or compression it will always be the number before the parentheses.

So in 1. it is - or basically -1 which means the parabola will be open up downward. And in this problem there is no stretching or compression

2. Is the 1/4 is a vertical stretch

3. 4 is a vertical compression.

Or what also could help is when the number before the parentheses is bigger such as number 4 the closer together the parabola will be. And the smaller the number like 1/4 the wider the parabola will be.

The table below shows two equations:
Equation 1 |2x - 3| + 5 = 4
Equation 2 15x + 31 – 10 = 3
Which statement is true about the solution to the two equations?

Answers

Answer:

First x=-2

Second x= -11.94

Step-by-step explanation:

1 |2x-3|+5=4

2x+3+5=4

2x+8=4

2x=-4

Divide by 2 for both parties

X = -2

Number 2

215x +31-10=3

215x+21=3

215x= -18

Divide by 215 on both sides

X= - 11.94

need help someone please

Answers

Answer:

52

Step-by-step explanation:

I'm pretty sure that it would be 52 mi because it is the same said that the angel ST is. Angels NM and ST are congruent. Therefore, the answer is 52 mi.


A rope which is 10.3 centimeters long is cut into 4 pieces of equal length. Write an equation to find the length of
each piece? Use x as the length of each piece of rope.

Answers

x - 4 = 10.3 EQUATION

SOLUTION:

x = 10.3 + 4

x = 14.3

Answer: x = 10.3 ÷ 4

Step-by-step explanation: if we were to work this out forgetting about the equation it can be worked out by dividing the 10.3 by 4 to find the length of the pieces so, now to express it as an equation, we have to add x into our sum 4 × ? = 10.3 : 4x = 10.3. The answer for x would be x = 2.58.

Determine if the function is one-to-one.

Answers

Answer:

No

Step-by-step explanation:

From what I saw on google for what "one to one" means, It's basically meaning that the bottom of that quadratic function is at point (0 , 0) and hits both (-1 , 1) and (1 , 1) on the graph.

HELPPP!! ASAP PLZ!!!

there are 25 studentz in Lauras class,and 21 of the students went on the class trip to the zoo. what percentage of students went on the class trip?

F) 21%
G) 25%
H) 74%
J) 84%

Answers

Answer:

J: 84%.

Step-by-step explanation:

I don't really know how to explain this one.

Answer:

J. 84

Step-by-step explanation:

How do you solve: -16(2r-7)=4(5-3r) Thank you for answering!

Answers

Exact Form - 23/5

Decimal Form - 4.6

Hope This Help's

Please answer step by step 8y-9y=

Answers

So your answer is -y

WILL GIVE 13 POINTS AND BRAINLIEST TO WHO GETS THIS RIGHT. NAME THE INTERSECTION OF DA AND BC

Answers

Answer:

The intersection is B

Step-by-step explanation:

It is B because every line meets up at the same spot which is B.

Please mark branliest if this helped you!

Please Help !! Show All Work !!

Answers

Answer:

1) (4,4)  2) (4,0)   3) (6,1)

Step-by-step explanation:

[tex](\frac{5+13}{2} )(\frac{7+1}{2} )\\(\frac{8}{2} )(\frac{8}{2} )\\(4,4)[/tex]

[tex](\frac{-3+7}{2} )(\frac{-3+3}{2} )\\(\frac{4}{2} )(\frac{0}{2} )\\(4,0)[/tex]

[tex]\frac{-5+x_2}{2} =1[/tex] multiply 1 by 2=2 then write[tex](+5)-5+x_2=1(+5)\\x_2 = 6[/tex]

[tex]\frac{3+y_2}{2} =2[/tex] multiply 2 by 2= 4 then write [tex](-3)3+y_2=4(-3)\\y_2=1[/tex]

Point P is presently located at the origin. Move P, and observe how the rotated Images change. Be sure that neither the images nor the preimage overlap. Record the distances of the vertices of the prelmage ABC from P. Do the same for the other images. Round all of your answers to the hundredths place.
What can you conclude about your observations in question 4? What happened as you moved p, the center of rotation, about the coordinate plane? How can you extend your discoveries about the vertices to all point that lie on a figure or shape?

Answers

Answer:

Plato sample answer:

Answer:

Step-by-step explanation:

-1x + 4y <4
how to slove this

Answers

Answer: y = 1/4x + 1

mark me as Brainliest

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