A boat attempts to sail due east at 15km/h, but is taken off course by a current of 5 km/h flowing in the southwest direction. Find the resultant speed of the boat and the bearing on which it travels.

Answers

Answer 1

Answer:

10 km / hr

Step-by-step explanation:

Speed of boat = 15 km /hr

Speed of stream = 5km /hr .

Since both are acting opposite to each other . The the resultant speed with which it travels = 15 - 5 = 10 km/hr


Related Questions

Need help on the slope intercept

Answers

Answer: y = 3x+9

Step-by-step explanation:

points are -2,3 and -1,6

6-3/-1-(-2) = 3

y-int is 9 since its given

how long would a rock that weighs 2 pounds take to fall 99 feet​

Answers

Answer:

When you are calculating the amount of mechanical energy used to exert force and move something, you are talking about work being done by a force at a distance. You can describe this in terms of foot-pounds. For example, you want to calculate the energy used to tighten a nut when using a wrench, or to lift a weight from the floor. Mechanical force takes place in time, so to describe the power requirement, you use foot-pounds per second.

Step-by-step explanation:

Which multiplication equation describes the fraction plotted on the number line? Number line 0 to 1 is divided into 10 equal parts. Dot is marked on seven-tenths part. 10×710=1 710=10×17 7+110=710 7×110=710

Answers

Answer:

[tex]7 * \frac{1}{10}=\frac{7}{10}[/tex]

Step-by-step explanation:

The question has a missing number line. However, the given details is enough to arrive at a valid solution.

Given

[tex]Interval = 0\ to\ 1[/tex]

[tex]Parts = 10[/tex]

[tex]Dot = Seven\ Tenth[/tex]

Required

Determine a multiplication equation

The position of the dot implies that, the result of the equation must be 7/10.

From the list of given options, the valid equation is:

[tex]7 * \frac{1}{10}=\frac{7}{10}[/tex]

Complete the square in order to solve the following quadratic equation:

x^2 + 6x = −2

Answers

To complete square one is basically doing
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2

or
a
2

2
a
b
+
b
2
=
(
a

b
)
2
We can see that
x
2
=
a
2
and
2
a
b
=
6
x
So all we need to condense this into
(
a
+
b
)
2
is a
b
2
term
We know that
2
b
=
6
as
x
=
a

so
b
=
3

and
b
2
=
9
So if we put the
b
2
term in we get
x
2
+
6
x
+
9

9
=
(
x
+
3
)
2

9
We include the
±
9
because we have to net add nothing to the equation so
9

9
=
0
so we really haven't added anything

Is this a function or not a function? Explain why.

Answers

Answer:

this is not a function

Step-by-step explanation:

the bottom numbers need to connect

Answer:

ppl are stubborn they put random stuff ty for wasting my points im getting them back

Step-by-step explanation:

Newton's Law of Cooling states that the rate of change of the temperature of an object, T, is proportional to the difference of T and the temperature of the region, TR or dT over dt equals k times the quantity T minus T sub R end quantity. An object with core temperature of 1200°F is removed from a fire and placed in a region with a constant temperature of 80°F. After 1 hour, its core temperature is 830°F. What is the object's core temperature 4 hours after it is taken off the fire?

Answers

Answer:

- 278.4°F

Step-by-step explanation:

Temperature of Object ( T ) = 1200° F

Temperature of surrounding ( M ) = 80°F

Time ( t ) = 1 hour

dT / dt  ∝ ( M - T )

dT /dt ∝ | ( 80 - 1200 ) |

dT / dt = k ( 1120 )

(1200 - 830 ) / 1 = k ( 1120 )

hence k =  ( 1200 - 830 ) / 1120

              =   370 / 1120 = 0.33

what is the object's temperature (x )after 4 hours

( 1200 - x ) / 4  = 0.33 ( 1120 )

( 1200 - x ) / 4 = 369.6

hence x = 1200 -  ( 4 * 369.6 )

              = - 278.4 ° F

HELPP I WILL BE GIVING BRAINLIEST

Answers
a) 45 degrees
b)180 degrees
c)60 degrees
d)90 degrees

Answers

Answer:

Hi! I believe its 90 degrees because it forms a right angle.

Step-by-step explanation:

Answer:

d)90 degrees i think it is that one

Covert this repeating decimal into a fraction (answer choices at the top)

Answers

The 4311/9900 because it’s the only if you type in calculator with those decimals

Answer:

Option 1 4311/9900

Step-by-step explanation:

4311/9900 = 0.435454545454545454

Can I have Brainliest please. :D

Write the slope intercept form of the equation of the line through (1,1) and slope =4

Answers

Answer:

y = 4x -3

Step-by-step explanation:

: Without turning the fraction into a decimal explain if the fraction is greater than or less than 10 a 3/2 b. 2/3 ​

Answers

Answer:

A is more than 1 (assuming you meant one) and b is less than 1.

Step-by-step explanation:

PLEASE HELP DUE SOON
Find the volume of the cylinder. Use 3.14 for Pi. Round to the nearest hundredth.

Answers

3.14*3.5^2*8=307.72

HELLP ILL GIVE BRAINLYEST Each side of a square classroom measures 23 feet. The teacher wants to put a border around the top of the classroom that costs $1.12 per foot. How much will the border cost?

Answers

Answer:

Step-by-step explanation:

4(23ft)($1.12/ft)=$103.04

Write the name of the solid figure that the given objects represent.​

Answers

Answer:

1: Triangular Prism

2: Sphere

3: Cube

4: Cylinder

5: Rectangular Prism

The name of the solid figure in the given objects are as follows;

Triangular PrismSphereCubeCylinderRectangular Prism.

What are Solid Figures?

Solid figures are three-dimensional shapes that have length, width, and height. They have different numbers of faces and vertices depending on the type of solid figures or shapes they are.

From the image attached in the question, the name of each solid figure in the given object is as follows.

Triangular PrismSphereCubeCylinderRectangular Prism.

Learn more about Solid Figures here:

https://brainly.com/question/1431

2x + (4yx)
X = -3 and y = 4
Evaluate the expression

Answers

Answer:

2x+(4yx)

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

-6-48

-54

A rectangle has a diagonal of 277 centimeters and a length of 252cm. How long is the width?

Answers

Answer:

width = 115 cm

Step-by-step explanation:

width² = 277² - 252²

width² = 76729 - 63504 = 13225

width = 115 cm

Answer:

115

Step-by-step explanation:

Simplify. Express your answer using positive exponents.
g3g3

Answers

Answer: g^6

Hope this helps :)

Answer:

[tex]g^{6}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

g³ × g³ = [tex]g^{(3+3)}[/tex] = [tex]g^{6}[/tex]

A
rectangular piece of wood has an area of
5x4 + 3x²-6x + 8. If two identical
circles are cut out of the wood and
the area of EACH circle is x²-2.
Find the area of the remaining piece
of wood.

Answers

Answer: [tex]5x^4+x^2-6x+12[/tex]

Step-by-step explanation:

Given

The area of the rectangular piece of wood is [tex]A_1=5x^4+3x^2-6x+8[/tex]

The area of each circle is [tex]A_2=x^2-2[/tex]

Area of the remaining piece of wood

[tex]\Rightarrow A_1-2A_2\\\Rightarrow 5x^4+3x^2-6x+8-2(x^2-2)=5x^4+x^2-6x+12[/tex]

Select the correct answer.

Answers

Answer:

c is rational

Step-by-step explanation:

it just is

c is the only rational number

SOMEONE PLEASE HELP ANSWER CORRECTLY !!!!! WILL MARK BRIANLIEST !!! HELPPPPPP MEEEEEEE !!!!!

Answers

Answer:

(-2,-3)

Step-by-step explanation:

A=(8,-5)

M=(3,-4)

The difference between them is that m is 5 to the left and 1 up. We need to do the same thing to find B.

B=(-2,-3)

1. Ernie Boddy had $3,620.00 on deposit at savings bank on July 1. The money earns interest at a rate of 6.5% compounded quarterly. a. What is the amount in the account on April first of the following year if no deposits or withdrawals were made? B. How much is the compound interest?​

Answers

Answer:

235.3$ for part a

The amount in the account on April first of the following year is $3799.358 and the compound interest is $179.358.

What is Compound Interest?

Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.

(a) The amount in a compound interest can be found as,

A = P(1 + [tex]\frac{r}{n}[/tex]) ^(nt)

where A is the final amount, P is the initial or principal amount, r is the interest rate, n is the number of times compounding occurs in a year and t is the number of years.

Given P = $3,620, r = 6.5% = 0.065, t = 9 months = 0.75 year

n = 4 (since compounded quarterly)

A = 3620 (1 + [tex]\frac{0.065}{4}[/tex]) ^(4 × 0.75)

  = 3620 (1.01625)³

  = 3799.358

(b) Compound Interest = Final amount - Initial amount

                                      = 3799.358 - 3,620

                                      = $179.358

Hence the compound interest is $179.358.

Learn more about Compound Interest here :

https://brainly.com/question/14295570

#SPJ2

Find m possible answers are 49, 52, 132, 138

Answers

∠ABE = (180°-32°)/ 2 (base∠s of isos. △)
=74°

∠EBC= ∠EDC (base∠s of isos. △)
= 64°
∴ ∠ABC= ∠ABE+∠EBC
= 74°+64°
= 138°

∠BCD= 180°-64°-64° (base∠s of isos. △)
= 52°


A rectangle has length (3x+5) cm and width (2x - 1) cm. What is the area of the
rectangle?

Answers

I think is the answer is 345. Because the operation is 3X+5=2X-1 then the result of X you have to multiply and you got the result

Ethan needs to save at least $450 for a new dirt bike. So far, he has saved $165. If wants to use half of his next paycheck for the remaining amount, how much money must he make in his paycheck?

Answers

Answer:

285

Step-by-step explanation:

450-165=285

Hope this helps and is right.

A father's age is three times the age of his son. If sum of their ages is 48, what is the age of son

Answers

Answer:

Check pdf

Step-by-step explanation:

Step-by-step explanation:

Let the age of son be x then

By the question

Age of father = 3x

So Now

3x + x = 48

4x = 48

x = 48/ 4

x = 14 years

The age of the son is 14 years.

Hope it will help :)❤

solve the system of equations by adding. check your answer.​

Answers

Answer:

x+12y=40

Step-by-step explanation:

the question itself says by adding

Dwayne is using a 15 foot ramp to help load furniture into the back of a moving truck. If the back of
the truck is 4 feet from the ground, what is the horizontal distance from where the ramp reaches the
ground to the truck?

Answers

using the pythagorean theorem, the distance would be approximately 14.46 feet

Amanda pours 3/4 of her water into Barbara’s empty bottle. Barbara then pours 3/5 of her water into Charlie’s empty bottle. Charlie then pours 1/2 of his water into David’s empty bottle. If David now has 18 ounces of water, how many ounces does Amanda still have?

Answers

Answer:

8

Step-by-step explanation:

David=18

charlie pours 1/2 which is 18 because that is how many david has and 18 is half of charlies thing. So charli has 36 cause 18 times 2 is 36

CHARLI=36

36 is 3/5 of barbra's so 3 divided by 36 is 12 and ther  are 2 more halfs so 12 times 2 is 24

BARBRA=24

24 is 3/4 of Amandas so you have to do 24 divided by 3 which is 8. so each 4th is 8 and there is one more 4th so it is 8

By: M

Division is defined as breaking down of larger quantity into smaller quantities equally. Vice versa, if we desire to calculate larger quantity on the basis of smaller quantities, we need to multiply the smaller quantity with their weights.

The quantity of water Amanda still have is [tex]20\: \rm ounces[/tex].

Solution:

Given:

Quantity of water David has is [tex]18\: \rm ounces[/tex].

Quantity of water with David is 1/2 of water in Charlie's bottle.

Therefore quantity of water Charlie had is [tex]\rm 18 \times 2 \:ounces = 36\:ounces[/tex]

Quantity of water Charlie had is 3/5 of water in Barbara's bottle.

Therefore quantity of water Barbara had is [tex]36\times \dfrac{5}{3} = 60\rm \:ounces[/tex]

Quantity of water Barbara had is 3/4 of water in Amanda's bottle.

Therefore quantity of water Amanda had is [tex]60\times \dfrac{4}{3} \rm \:ounces = 80\: ounces[/tex].

Water left with Amanda:

[tex]1 - \dfrac{3}{4}=\dfrac{1}{4}[/tex]   of total water i.e.

[tex]80\times \dfrac{1}{4}= 20\rm \:ounces[/tex]

Learn more about division and multiplication here:

https://brainly.com/question/19634536


(50 PTS) GIVING BRAINLIEST!

Solve the equation 3(c − 2) = 15.
.) What are two ways to start solving this equation? Choose BOTH ways.
A. Divide both sides by 3 to get c - 2 = 5.
B. Use the distributive property to get 3c - 6 = 15.
C. Add 2 to both sides to get 3c = 15.
D. Use the distributive property to get 3c – 2 = 15.
E. Subtract 3 from both sides to get c - 2 = 15.

Answers

The answer is A and E they give you a path to solving the equation being C=7

PLS HELP ME!!!! ILL MARK BRAINLYEST!

Answers

Answer:

(6,4) , (8,6) , (2, 7)

Step-by-step explanation:

A: 10 cups of sparkling water
B: 9 cups of apple juice
C: Plot the points (3,2) (9,6) and (15,10)

Complete each of the following problems.
(4 × 10 –10)(3 × 104)

Answers

Answer:

The answer is 9360

Step-by-step explanation:

Rewrite and Multiply: (4 × 10 –10)(3 × 104)

To make the calculation a lot easier, factor the expression: 10( 4 - 1 ) × ( 3 × 104 )

Multiply the numbers : 10 ( 4 - 1 ) × 312

Calculate: 10 ( 4 - 1 ) × 312

Subtract the numbers: 10 × 3 × 312

Calculate : 10 × 3 × 312

9360

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