Two ships A and B start sailing from port P at the same time .Ship A sailing at 40km/h is on a bearing of 195degrees and ship B sailing at 24km/h on a bearing of 285degrees find the distance between the two ships

While finding with similar volumes, which might be volumes of figures that are similar in shape and proportion, we can find the ratio of their volumes by using the ratio of their linear dimensions.

The linear dimensions refer to the measurements of the duration, width, and height of the figures. If two comparable figures have corresponding linear dimensions inside the ratio of a:b, then their volumes could be in the ratio of \(a^3:b^3.\) that is because the volume of a 3-dimensional determine is decided by way of multiplying its duration, width, and top collectively.

For example, if we have cubes which are similar in shape and proportion & the period of one cube is two times the period of the other dice, then the ratio in their linear dimensions is 2:1. therefore, the ratio in their volumes can be \((2^3):(1^3)\), which simplifies to 8:1. which means the larger dice has 8 times the volume of the sm

Learn more about  linear dimensions:-

https://brainly.com/question/30556861

#SPJ1

Answer:

17. 3ab + 8a

18. -6c + 6

19. 8x + 4

20. x - 3

21. 12x - 4

One person has

then, in the body of 3500 such people, there are

this product is equal to

of zinc

Answer:

36^6 or 2176782336

Step-by-step explanation: if you multiply 10^2 would equal because you would multiply 10 by 10 and 4^3 would equal 64 because you would have to multiply four 3 times (4 x 4 x 4) and you subtract 100 and 64 (100 - 64) and you get 36 BUT, the question says "Give your answer as APO 6, so you put your answer as 36^6 or 2,176,782,336

Answer:25 yards on the first day.In numerals:XXV

Step-by-step explanation:its pretty simple he cleared the same amount for the first five days.Then 8 more on the sixth.So since 133 in total subtract 8 and divide by 5.133-8=125/5=25 25 yards.

The measure of the angle ABD is (3x + 29)  

Bisecting angles is the process of dividing an angle into two congruent angles. In geometry, an angle bisector is a line or ray that divides an angle into two equal parts.

When an angle is bisected, each of the two angles formed is called a half-angle or bisector angle, and the point where the angle is bisected is called the vertex of the angle.

Here we have

BD bisects ABC and ∠ABC = 6x+58  

When a straight bisect an angle then the measure of the resultant 2 angles will be equal in measure

Here BD bisected ABC

The resultant angles will be ∠ABD and ∠DBC

Hence,

=> ∠ABC = ∠ABD + ∠DBC

=> ∠ABC = ∠ABD + ∠ABD   [ Since two angles are equal

=> ∠ABC = 2∠ABD  

From the given data,

=> 6x + 58 = 2∠ABD  

=> 2 ∠ABD = 2(3x + 29)

=> ∠ABD = (3x + 29)  

Therefore,

The measure of the angle ABD is (3x + 29)  

Learn more about Bisecting angles at

https://brainly.com/question/28292775

#SPJ1

Answer: 678

Step-by-step explanation: ii

Answer:

5 has the value of both the hundredth and the thousandth decimal space.

Step-by-step explanation:

the diagonal of a rectangle splits the rectangle into 2 right-angled triangles with the diagonal being the Hypotenuse.

so, using Pythagoras

diagonal² = 27² + 9² = 729 + 81 = 810

diagonal = sqrt(810) = 28.46049894... ≈ 28.5 miles

The relation that represents a function is: ((- 6, 5), (- 3, 2), (1, 2), (6, 5))

A relation represents a function if each input (x-value) is associated with only one output (y-value).

1. {(0, 3), (2, 4), (0, 6)}:

This relation is not a function because the input 0 is associated with two different outputs, 3 and 6.

2. ((- 7, 5), (- 7, 1), (- 10, 3), (- 4, 3)):

This relation is not a function because the input -7 is associated with two different outputs, 5 and 1.

3. ((- 6, 5), (- 3, 2), (1, 2), (6, 5)):

This relation is a function since each input is associated with a unique output.

4. {(2, 0), (6, 2), (6, - 2)}:

This relation is not a function because the input 6 is associated with two different outputs, 2 and -2.

Learn more about Function here:

https://brainly.com/question/30721594

#SPJ1

Answer:

The two solutions are

5 and 9

-5 and -9

Step-by-step explanation:

Let x and y be the numbers

x-y = 4

x*y = 45

Using substitution

x = 4+y

(4+y)y =45

4y + y^2 = 45

Subtract 45 from each side

y^2 +4y -45 =0

Factor

(y - 5) ( y+9) = 0

Using the zero product property

y -5 =0    y+9 =0

y=5    y = -9

Now we can find x

y=5

x = 4+y

x =4+5

x=9

y = -9

x = 4+y

x = 4+-9

x = -5

The two solutions are

5 and 9

-5 and -9

Answer:

The formula for the volume of a cylinder is given by:

V = πr^2h

where r is the radius and h is the height of the cylinder.

For the given cylinder, the radius is 4.5 inches and the height is 14 inches, so we have:

V = π * 4.5^2 * 14 = π * 20.25 * 14

V = 282.43 π cubic inches

Rounding to the nearest cubic inch, the volume of the cylinder is approximately 282 cubic inches (using 3.14 for π)

Answer: 890 in(3)

Step-by-step explanation:

no

Answer:

45

Step-by-step explanation:

Step 1

The distribution given is a binomial distribution with following data:

\(n=25, \quad p=0.25\)

Step 2:

(a) Probability of at most 6 calls involving a fax message:

We have to add probabilities for x=0 to x=6

\(\begin{aligned}& P(X \leq 6)=\sum_{x=0}^6{ }^{25} C_x(0.25)^x(1-0.25)^{25-x} \\& =\left(\begin{array}{l}{ }^{25} C_0(0.25)^0(1-0.25)^{25-0}+{ }^{25} C_1(0.25)^1(1-0.25)^{25-1} \\+{ }^{25} C_2(0.25)^2(1-0.25)^{25-2}+{ }^{25} C_3(0.25)^3(1-0.25)^{25-3} \\+{ }^{25} C_4(0.25)^4(1-0.25)^{25-4}+{ }^{25} C_{5 x}(0.25)^5(1-0.25)^{25-5} \\+{ }^{25} C_6(0.25)^6(1-0.25)^{25-6}\end{array}\right)\end{aligned}\)

\(\begin{aligned}& =\left(\begin{array}{l}{ }^{25} C_0(0.25)^0(0.75)^{25-0}+{ }^{25} C_1(0.25)^1(0.75)^{24} \\+{ }^{25} C_2(0.25)^2(0.75)^{23}+{ }^{25} C_3(0.25)^3(0.75)^{22} \\+{ }^{25} C_4(0.25)^4(0.75)^{21}+{ }^{25} C_{5 x}(0.25)^5(0.75)^{20} \\+{ }^{25} C_6(0.25)^6(0.75)^{19}\end{array}\right) \\& =\left(\begin{array}{l}0.0007525+0.006271+0.02508+0.06410 \\+0.1175+0.003171+0.182819\end{array}\right) \\& =0.5611\end{aligned}\)

Therefore,

\(P(X \leq 6)=0.5611\)

Step 3:

(b) Probability of exactly 6 calls involving a fax message:

We have to find probabilities for x=6\(\begin{aligned}& P(X=6)={ }^{25} C_6(0.25)^6(1-0.25)^{25-6} \\& ={ }^{25} C_6(0.25)^6(0.75)^{19} \\& =0.182819\end{aligned}\)

Therefore,

P(X=6)=0.182819

Step 4:

(c) Probability of at least 6 calls involving a fax message:

We have to add probabilities for x=0 to x=5 and subtract from 1\(\begin{aligned}& P(X \geq 6)=1-(P(X < 6)) \\& =1-(P(X \leq 6)-P(X=6)) \\& =1-(0.5611-0.1828) \\& =0.6217\end{aligned}\)

Therefore,\(P(X \geq 6)=0.6217\)

Step 5:

(d) Probability of more than 6 calls involving a fax message:

We have to add probabilities for x=0 to x=6 and subtract from 1\(\begin{aligned}& P(X \geq 6)=1-(P(X \leq 6)) \\& =1-(0.5611) \\& =0.4389\end{aligned}\)

Therefore,

\(P(X \geq 6)=0.4389\)

To learn more about binomial distribution visit:

https://brainly.com/question/14565246

#SPJ4

The sales price of the item is £18

From the question, we have the following parameters that can be used in our computation:

Discount = 1/3

Original price = 27

This means that

Sales price = original price * (1 - discount)

Substitute the known values in the above equation, so, we have the following representation

Sales price = 27 * (1 - 1/3)

Evaluate

Sales price = 18

Hence, the sales price is #18

Read more about discount at

https://brainly.com/question/28383863

#SPJ1

The Length is 5 inches and the Breadth is 15 inches

What is Perimeter?

A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter.

Solution:

Perimeter of Rectangle = 2*(Length + Breadth)

According to the question

Breadth = 3*Length

Perimeter = 40

40 = 2*(Length + 3*Length)

20 = 4*Length

Length = 5 inch

Breadth = 15 inch

To learn more about Perimeter from the given link

https://brainly.com/question/19819849

#SPJ1

Answer:

The required answer is 0.0075 ml .

Step-by-step explanation:

Given that , It takes 200 L of maple sap to make 5 L of maple syrup. And we need to find how much sap it requires to make 300 ml of syrup . Hence on using Unitary method ,

⇒ 200 L of maple sap is used to make 5L of syrup .

⇒ 1L of maple sap is used to make 5L/200 L of syrup .

⇒ 1000 ml of maple sap is used to make 5L/200 L of syrup .

⇒1ml of maple sap is used to make 5L/( 200 * 1000) L of syrup .

⇒300ml of maple sap is used to make 5L * 300/200 L * 1000 of syrup .= 0.0075 ml .

Answer:

21 units squared

Step-by-step explanation:

Given the following question:

7, 3, 3
Area = Length × Width
7 is the longest number given so that will be our length.

\(A=L\times W\)
\(A=7\times3\)
\(7\times3=21\)
\(A=21\)

Hope this helps.

The area of the shape 21 units squared,

We have give in the following question,

7, 3, 3

What is the formula for area?

Area = Length × Width

7 is the longest number given so that will be our length.

\(A=L*W\\A=7*3\\A=21 unit squared\)

Therefore,

The area of the shape 21 units squared,

To learn more about area visit:

https://brainly.com/question/25965491

Answer:

- 3/4

Step-by-step explanation:

-2 1/2 - (-1 3/4)

Subtracting a negative is like adding

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

Get a common denominator of 4

-2 2/4 + 1 3/4

The signs are different so we subtract and take the sign of the larger

2 2/4 - 1  3/4

Borrowing from the 2

1 4/4 + 2/4 - 1 3/4

1 6/4 - 1 3/4

3/4

2 2/4 was larger and it was negative so we add a negative sign

- 3/4

Answer: x = 50

Step-by-step explanation:

In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.

To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.

Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).

Step 3: Add 1 to 0.0033333 to get 1.0033333.

Step 4: Raise 1.0033333 to the power of -120.

Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.

Step 6: Subtract the value obtained in Step 5 from 1.

1 - 0.742657 = 0.257343 (approximately).

Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.

It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.

For more such questions on exponent.

https://brainly.com/question/13669161

#SPJ8

Answer:inversely proportional

Step-by-step explanation:

As the value of x increase the value of y decrease

Answer:

93.684

Step-by-step explanation:

They just give a 5% bonus to the price of the lunch

Answer:

£30

Step-by-step explanation:

Elvis is paying for 2/3 of 3 kg, so the cost is:

\(\frac{2}{3}(45)=30\)

Answer:

FVRF

Step-by-step explanation:

Answer:

geometric sequence; common ratio: 2

Step-by-step explanation:

because you would have to multiply a number to get to the next and the next number in line, this is geometric. The common ratio is 2 because each time the number increases you multiplying by two

Answer:

$26.15 total

Step-by-step explanation:

23.77(1.1)=26.147

Answer:

$26.15

Step-by-step explanation:

10% of 23.77 is 2.377, add 2.337 to 23.77 and round it up

Answer:

224

Step-by-step explanation:

360.-136.

\( \huge \blue{solution}\)

\( \bold \red{ \frac{x}{3} - \frac{x}{4} = \frac{x}{6} }\)

\( \bold \red{ \frac{4x + 3( - x)}{3 {2}^{2} } = \frac{x}{6} }\)

\( \bold \red{ \frac{4x - 3x}{3 {2}^{2} } = \frac{x}{6} }\)

\( \bold \red{\frac{x}{3 {2}^{2} } = \frac{x}{6} }\)

\( \bold \red{ - x = 0}\)

\( \bold \red{x = 0}\)