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

To solve the equation −x − 3 = x2 − 2x− 15, you could graph of the following system. y = −x − 3 y = x2 − 2x − 15 Use the graph of this system to identify all solutions of −x − 3 = x2 − 2x − 15. A. -7 B. -3 C. 0 D. 4

Answers

Answer:

I think option (D) 4 is correct

Answer:

Step-by-step explanation:

E D G E

If Zöe orders a book from Store Y, how much tax will she pay? Comparison of Online Bookstores Store X Store Y Cost of book $17.00 $18.00 Tax rate 6% 8% Shipping 10% of cost before tax FREE $1.44 $2.25 $12.25 $14.40

Answers

Answer:

A

Step-by-step explanation:

just did the quiz

Answer: The answer is A on the test I got 100% on the question.

Step-by-step explanation: ed 2020

Simplify the following expression. - (5a - 9b)

Answers

Answer:

-5a + 9b

Step-by-step explanation:

- (5a - 9b)

Distribute the minus sign

-5a + 9b

Jenna bought 5 reams of paper at the store for a total of $21. The tax on her purchase was $1. Solve 5x + 1 = 21 to determine the price for each ream of paper.

Answers

Answer:

$4

Step-by-step explanation:

From the question we have it that jenna bought the 5 reams of paper at a price of 21

The tax on this was $1

The total cost of the paper minus tax = $20

Cost of 1 team = total cost of paper / quantity

= 20/5

From the equation

5x +1 = 21

5x = 21 -1

5x = 20

X = 20/5

X = $4

Therefore we have The cost of a team of paper to be equal to $4

I’m in need of help

Answers

Answer:

Step-by-step explanation:

9. (-2, 2) (4, 3)

  (3 - 2)/(4 + 2) = 1/6

10. (-2, 2) (3, 4)

     (4 - 2)/(3 + 2) = 2/5

11. (3 - 13)/(0 + 16)= -10/16= -5/8

12. (-19 - 0)/(7 + 12) = -19/19= -1

true or false, the mean, median, and mode of 1, 2, 3, 4, 5 are all the same answer.​

Answers

Answer:

No

Step-by-step explanation:

No.  The mean and median would both be three, but since all the numbers are different, there IS NO mode.

A plane flies x mph. How far can it go in y hours? Which expression represents this?

x/y miles
x + y miles
xy miles

Answers

Answer:

xy miles

Step-by-step explanation:

Answer:

xy miles

Step-by-step explanation:

cus i said so

6x + 2y = 12
How do I show my work ?

Answers

Hey there!

ANSWER: [tex]\frac{-1}{3}y+2[/tex]EXPLANATION:

[tex]6x+2y=12[/tex]

Let's start by adding -2y to both sides.

[tex]6x+2y+-2y=12+-2y\\\text {This equals: 6x=-2y+12}[/tex]

Our second and final step is to divide both sides by 6.

[tex]\frac{6x}{6}=\frac{-2y+12}{6} \\x=\frac{-1}{3}y+2(ANSWER)[/tex]

If you are looking to solve y, the answer is 6 - 3x.

If you are looking for x, the answer is x = 2 - y/3

Hope this helps and have a great weekend!

[tex]\text{-TestedHyperr}[/tex]

NEEDING SMART PPL PLEASE I NEED HELP will give brainly Given the following expressions:
A. 5^3· 5^-4 B. 3^5/3^-6
C. (1/4)^3 · (1/4)^2
D. (-7)^5/(-7)^7
Part 1: Use operations of exponents to simplify each expression (A-D). Include your work in your final answer.

Part 2: For each simplified expression (A-D), tell whether or not the expression has a value between 0 and 1. please write in your own words

Answers

Answer:

Part 1:

a. 5^3 x 5^-4 = 125 x 1/(5)^4 = 125 x 1/625 = 125/625 = 0.2b. 3^5/3^-6 = 3^5 x 3^6 = 243 x 729 = 177147c. (1/4)^3 x (1/4)^2 = 1/64 x 1/16 = 1/1024 = 0.00097656d. (-7)^5/(-7)^7 = -16807/-823543 = 1/49 = 0.02040816...

Part 2:

a. has a value between 0 and 1 because the answer to the expression is 0.2b. does not have a value between 0 and 1 because the answer to the expression is 177147c. has a value between 0 and 1 because the answer to the expression is 0.00097656d. has a value between 0 and 1 because the answer to the expression is 0.02040816...

What is the constant term in the polynomial expression, and what does it represent?

Answers

Aconstant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. For example, in the quadratic polynomial

x
2
+
2
x
+
3
,

x^{2}+2x+3
the 3 is a constant term.

-6(9-9v) what is the answer

Answers

simplify the expression-54+54v

arange the following expressions in order of their value from least to greatest. a. 4 − 6 b. −4 + 6 c.−4 − 6

Answers

Answer: C. -10, A -6, B 2

Step-by-step explanation:

Alan’s online test has 10 true-false questions and 5 multiple-choice questions. Each multiple-choice question has 4 different answer choices. How many different choices for answering the 15 questions are possible?

Answers

Answer:

40 possible answers

Step-by-step explanation:

20 answers from the 10 true or false questions and 20 answers from the 5 multiple choice questions

Which sequence of transformations confirms congruence by mapping shape I onto shape II? A. a reflection across the x-axis and then a translation 15 units left B. a 90° clockwise rotation about the origin and then a translation 25 units up C. a 90° counterclockwise rotation about the origin and then a translation 10 units left D. a 180° rotation about the origin and then a translation 10 units right

Answers

Answer:

The Answer is D.

Step-by-step explanation:

Answer: Its C

Step-by-step explanation:

Of Q is the midpoint od RP, Find the coordinates of R if P(9,-2) and Q (4,5)

Answers

Answer:

(-1,12)

Step-by-step explanation:

let R be(x,y)

Q(4,5)=midpoint

R(x,y)=(x1,y1)

p(9,-2)=(x2,y2)

now,

(4,5)= x1+x2/2 , y1+y2/2

(4,5)= x+9/2 , y-2/2

so,

x+9/2=4              y-2/2=5

x+9=8                  y-2=10

x= -1                      y=12

therefore, R(x,y)= (-1,12)

Amy and her sister are making lemonade for the school dance. Their recipe makes 2 quarts of lemonade. If they make 35 times the recipe how many gallon

Answers

Answer:

Amy and her sister will have 17.5 gallons of lemonade for the school dance.

Step-by-step explanation:

The sister's recipe makes 2 quarts of lemonade. As they want to make 35 times more, so total number of quarts made will be =

quarts

Now, 4 quarts has 1 gallon.

So, total number of gallons in 70 quarts will be =

tex]\frac{70}{4} =17.5[/tex] gallons.

Hence, the answer is 17.5 gallons.

how do i solve the equation [tex](2a^{3} b^{4}c^{0})^{3}[/tex]

Answers

Answer:

[tex]8\frac{-2x}{-2}=\frac{0}{-2}[/tex]

Step-by-step explanation:

[tex]\left(2a^3b^4c^0\right)^3[/tex]

Cube each portion:

[tex]2^3\left(a^3\right)^3\left(b^4\right)^3\left(c^0\right)^3[/tex]

[tex]8\left(a^3\right)^3\left(b^4\right)^3\left(c^0\right)^3[/tex]

[tex]8a^9\left(b^4\right)^3\left(c^0\right)^3[/tex]

[tex]8a^9b^{12}\left(c^0\right)^3[/tex]

[tex]8a^9b^{12}\times1[/tex]

[tex]8a^9b^{12}[/tex]

Rosea drives her car 30 kilometers to the train
station, where she boards a train to complete her trip. The
total trip is 120 kilometers. The average speed of the train is
20 kilometers per hour faster than that of the car. At what speed
must she drive her car if the total time for the trip is less than
2.5 hours?

Answers

Answer:

>34.88km/h

Step-by-step explanation:

Because we have two unknown values in this question (speed of train and speed of car), we will need two equations to solve it.

Firstly, we can make a big equation for time in terms of the vehicle speeds. Time = distance / speed, so if we use t for the train speed and c for the car speed, we get this equation for speed:

30/c + 90/t = 2.5

Here the 30 is the distance traveled by the car in km and the 90 is the distance traveled by the train in km (120 - 30 = 90).

We also know that the train speed was 20km/h faster than the car speed so our second equation is:

c + 20 = t

So now we can substitute this in the big equation so we only have one variable to solve for:

30/c + 90/(c+20) = 2.5

Now to solve this, this first step is to get rid of the fractions, which we can do by multiplying all the terms by the lowest common factor of the two denominators which is c(c+20):

(30/c)*c(c+20) + (90/c+20)*c(c+20) = 2.5

This simplifies to:

120c+600=2.5c^2+50c

and then into the quadratic equation:

2.5c^2-70c-600=0

This can be solved with the quadratic formula or a solver/calculator, and yields the solutions:

c=−6.88, 34.88 (both to 2dp)

We can eliminate the negative solution because speed cannot be negative meaning that Rosea must drive her car at the speed of at least/greater than 34.88km/h if she wants the total trip to be less than 2.5 hours.

Hope this helped!

please answer the questions!!!please!!!!!

Answers

Answer:

I think #5 is c.

Step-by-step explanation:

because it says 50% without decimal and it's doesn't equal to 1/2%

Answer:

Q6 b. 70

Step-by-step explanation:

Change 20% to decimal so it will be 20/100=0.2

350/0.2=70

if f(x)= x^2+x and h(x)=5x-2 find f(f(2))

Answers

Answer: 2f^2

Step-by-step explanation:

Remove the parentheses: = ff x 2

Apply exponent rule: f^1+^1x2

Add the numbers 1+1=2 = 2f^2

I hope this is right.

Can someone help me

Answers

Answer:

I think it is the first one ( 2,0)

but if I am wrong I am sorry

Hello there!

The answer is number one or circle one. Because B is right on top of it. Meaning that it's just one whole number and in this case would be 2.

I hope this helps

1 gallon of water weighs 8 1/3 pounds
30 gallons of water weighs x pounds

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ Given that [tex]1=8\frac{1}{3}[/tex] all you have to do is multiply:

[tex]8\frac{1}{3}*30=250[/tex]

So [tex]x=250[/tex].

~Hope this helps Mate. If you need anything feel free to message me.

The answer would be about 250 pounds. So x=250 pounds

if the selling price of 16 water bottles is equal to the cost price of 17 water bottles find the gain percent earned by the dealer

Answers

Answer:

let cp of 17 water bottle is x

cp of 1 water bottle = x/17

from the question

sp of 16 water bottles = x

sp of 1 water bottle = x/16

profit = sp -cp

        = x/16 - x/17

      =  x/272

profit % = profit /cp * 100%

            = (x/272)/ (x/17) * 100%

= 6.25%

If the sum of 3 and y is the sum of 2 and 2

Answers

Answer:y=1

Step-by-step explanation:

Answer:

y=4/3

Step-by-step explanation:

3+y=2+2

3y=4

y=4 divided by 3

y=4/3

You use 4 gallons of water on 14 plants in your garden. At this rate, how much water will it take to water 35 plants?

Answers

Answer:

10 gallons

Step-by-step explanation:

Step 1:

4 : 14 = x : 35

Step 2:

14x = 140

Answer:

x = 10

Hope This Helps :)

Answer:

ten

Step-by-step explanation:

thats what i got

Simplify the expression by combining like terms 3x^2-2x+4x-x^2+3-x

Answers

Answer:

2x² +x + 3

Step-by-step explanation:

3x²-2x+4x-x²+3-x

Like terms:

3x² - x² = 2x²

-2x + 4x -x =x

3

2x² + x + 3

What is the prime factorization of 96? 8 · 12 2 · 2 · 2 · 2 · 3 25 · 3 25 · 32

Answers

Answer:

2^5 *3

Step-by-step explanation:

You can solve this multiple ways but should get 2^5*3

Answer:

[tex]2^5*3[/tex]

Step-by-step explanation:

[tex]96\\\\=2*48\\\\=2*2*24\\\\=2*2*2*12\\\\=2*2*2*2*6\\\\=2*2*2*2*2*3\\\\=2^{5}*3[/tex]

What operation is included as part of a fraction? Multiplication Division Addition Subtraction Explain your thinking.

Answers

The answer should be division because when you have a fraction you are basically dividing the top number by the bottom number.

Can someone please help, last question. Thanks

Answers

Answer:

A) a= 123   b= 123   c= 57

B) d= 98   e= 98   f= 98

C) g= 75   h= 75

Step-by-step explanation:

The ones that have the same angle measurement are corresponding angles, meaning that they have -well- the same measurement.

Adjacent angles are how I figured out the measurements. If you have one angle, the angle next to it will form a straight line, or 180 degrees. You just subtract that measurement to 180 and get the other angle.

Answer:

G= 75 H=75

Step-by-step explanation:

Ok, so with these the lines are marked as parallel. All lines are equal to 180 degrees, so with the given information that one of the angles are 75 degrees, you can subtract 75 from 180 to get 105. Since both g and h did not require that, it was not entirely necessary for me to say that, but I hope that it can be helpful for you. But, because the lines are parallel, it means that the other side also has a 75 degree angle as well as a 105 degree angle. Just looking at the size of the angle that's labeled can help too. the smaller angle is 75. Since the lines are parallel, you can just find the smaller angles and mark them as 75 as well. Hope that was helpful to you!  

Find the value of the expression: (3 · 100)^4

Answers

Answer:

Using trigonometric identities.

8,100,000,000

Step-by-step explanation:

Answer:

8,100,000,000

Step-by-step explanation:

Following the order of operations, expressions in parentheses must be evaluated before exponents, thus:

[tex](3 * 100)^4 \\= (300)^4 &\\&= 300*300*300*300 \\&= 8,100,000,000\ or \ 8.1 * 10^9[/tex]

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