A lighthouse rises 160 feet above sea level. The top of the lighthouse is sighted in at a 3 degree angle from a ship at sea. What is the distance between the ship and lighthouse?

Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

Answer:

66 es pero que te ayude ■■♤♤

A coefficient is a quantity or number that is related to a variable. The variable is frequently followed by an integer that has been multiplied by the variable.

In mathematics, a coefficient is a quantity that is multiplied by a variable in a single term or in a polynomial's terms. Any sign that represents a constant value can be used, including numbers. It is often a number, however in other situations it could be a letter. In the formula: ax² + bx + c, for instance, x is the variable and a and b are the coefficients.

Therefore, a coefficient can be actual or hypothetical, expressed as a fraction or decimal, positive or negative, and real or imaginary. According to another definition, a coefficient is "Any number we multiply a variable by." For instance, the coefficient of the variable x in the expression 9.3x is 9.3, whereas the coefficient of the expression -5z is -5.

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The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).

1. Start by calculating the distance between the vertices of the original triangle ABC:

  - Distance between A(4, 3) and B(3, -2):

    Δx = 3 - 4 = -1

    Δy = -2 - 3 = -5

    Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26

  - Distance between B(3, -2) and C(-3, 1):

    Δx = -3 - 3 = -6

    Δy = 1 - (-2) = 3

    Distance = √((-6)² + 3²) = √45 = 3√5

  - Distance between C(-3, 1) and A(4, 3):

    Δx = 4 - (-3) = 7

    Δy = 3 - 1 = 2

    Distance = √(7² + 2²) = √53

2. Apply the scale factor of 1.5 to the distances calculated above:

  - Distance between A' and B' = 1.5 * √26

  - Distance between B' and C' = 1.5 * 3√5

  - Distance between C' and A' = 1.5 * √53

3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):

  - A' is located Δx units horizontally and Δy units vertically from A.

  - Δx = 1.5 * (-1) = -1.5

  - Δy = 1.5 * (-5) = -7.5

  - Coordinates of A':

    x-coordinate: 4 + (-1.5) = 2.5

    y-coordinate: 3 + (-7.5) = -4.5

4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).

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The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;

Part A; Base length of the new deck = 7.2 feet

Height of the new deck = 2.8 feet

Part B; The area of the original deck is 63 square feet

The area of the new deck is 10.08 square feet

Part C; The ratio of the areas is the square of the scale factor

A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.

The base length of the triangular deck = 18 feet

The height of the triangular deck = 7 feet

The scale factor for the scaled version Sam intends to build = 2 : 5

Part A; The dimensions of the new deck are;

Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet

The height of the new deck = (2/5) × 7 = 2.8 feet

Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet

Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet

Part C; The ratio of the areas is; 10.08/63

Ratio of the area = 10.08/63 = 4/25 = 4 : 25

The scale factor is; 2 : 5

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Answer:

A would be correct

Step-by-step explanation:

the answer is A.

Answer: COGS= 288,320

Step-by-step explanation

Beginning Finished Goods + Transferred of completed goods out of W/P - Ending Finiished Goods.

14,840 + 286,200 - 12,720 = 288,320

Answer:

W= width

L=3/4

Area = L*W

1/2=3/4*w

Divide both sides by 3/4

1/2 divided by 3/4= 2/3

Step-by-step explanation:

Answer is not mine.

Step-by-step explanation:

x = number of cards

the production costs (PC) per day are

PC(x) = 264 + 1.1x

the sales (S) are

S(x) = 5.1x

the profit (P) per day is sales minus costs

P(x) = S(x) - PC(x) = 5.1x - (264 + 1.1x) =

= 5.1x - 264 - 1.1x = 4x - 264

we need to find the value of x, so that P(x) = 52.

52 = 4x - 264

316 = 4x

x = 316/4 = 79

79 cards must be delivered daily to make a profit of $52.

20. A rational function \(\frac{p(x)}{q(x)}\) (where \(p,q\) are polynomials in \(x\)) has a removable discontinuity at \(x=a\) if for some positive integer \(n\) we can factorize

\(p(x) = (x-a)^n p^*(x)\)

\(q(x) = (x-a)^n q^*(x)\)

\(\implies \dfrac{p(x)}{q(x)} = \dfrac{(x-a)^n p^*(x)}{(x-a)^n q^*(x)} = \dfrac{p^*(x)}{q^*(x)}\)

That is, we "remove" the discontinuity at \(x=a\) because while \(x\neq a\), we have \(\frac{x-a}{x-a}=1\). The discontinuity is still there, since \(\frac{p(a)}{q(a)}\) is undefined, but in the limit sense we can essentially ignore the factors of \(x-a\). The graph of \(\frac{p(x)}{q(x)}\) will have all the features of \(\frac{p^*(x)}{q^*(x)}\) aside from a hole at \(x=a\).

In this case, we have

\(f(x) = \dfrac{x+4}{x^2-x-20} = \dfrac{x+4}{(x+4)(x-5)}\)

and when \(x\neq-4\), we can cancel the factor of \(x+4\) so that

\(f(x) = \begin{cases}\dfrac1{x-5} & \text{if }x \neq -4 \\\\ \text{DNE} & \text{if }x = -4\end{cases}\)

("DNE" = "does not exist", i.e. is undefined. For some reason "undefined" wouldn't render...)

This means \(x=-4\) is a removable discontinuity.

We cannot do the same with the factor of \(x-5\), so in contrast \(x=5\) is a non-removable discontinuity.

21. The pieces of \(f(x)\) defined on \(x<2\) and \(x>2\) are themselves continuous since they are polynomials. Then the continuity of \(f(x)\) over the entire real line depends on the point where the pieces meet.

Here we have

\(f(x) = \begin{cases}x+3 & \text{if }x\le2 \\ cx+6 & \text{if }x>2\end{cases}\)

so the pieces meet at \(x=2\). Continuity at this point requires that the both limits from either side of \(x=2\) be the same. This means

\(\displaystyle \lim_{x\to2^-} f(x) = \lim_{x\to2} (x+3) = 2+3 = 5\)

\(\displaystyle \lim_{x\to2^+} f(x) = \lim_{x\to2} (cx+6) = 2c + 6\)

Solve for \(c\).

\(2c + 6 = 5 \implies 2c = -1 \implies \boxed{c = -\dfrac12}\)

Given statement solution is :-  For the third week of April, Patricia's:

Regular pay amount is $476.

Overtime pay is $231.45.

Gross pay is $707.45.

To calculate Patricia's pay for the third week of April, we'll need to determine her regular pay, overtime pay, and gross pay.

Regular Pay:

Patricia worked 53 hours, but only 40 hours are considered regular hours. Therefore, the regular pay is calculated as follows:

Regular Pay = Regular Hours x Hourly Rate

Regular Pay = 40 hours x $11.90/hour

Regular Pay = $476

Overtime Pay:

Since Patricia worked 53 hours in total and 40 of those are regular hours, the remaining 13 hours are considered overtime hours. Overtime pay is calculated by multiplying the overtime hours by 1.5 times the hourly rate.

Overtime Pay = Overtime Hours x (Hourly Rate x 1.5)

Overtime Pay = 13 hours x ($11.90/hour x 1.5)

Overtime Pay = 13 hours x $17.85/hour

Overtime Pay = $231.45

Gross Pay:

Gross Pay is the sum of Regular Pay and Overtime Pay.

Gross Pay = Regular Pay + Overtime Pay

Gross Pay = $476 + $231.45

Gross Pay = $707.45

Therefore, for the third week of April, Patricia's:

Regular pay amount is $476.

Overtime pay is $231.45.

Gross pay is $707.45.

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According to the information provided, HI = 20, the triangle can be categorised by sides that are as follows:

A collection of numbers or "terms" is called a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.I have a code that tells me where to look for words in a sequence. A collection of objects in a peculiar order is called a sequence (or event) in mathematics. . It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.

We need further details regarding the triangle's side lengths in order to identify whether the cylinder is scalene, isosceles, etc equilateral. The cylinder with HI = 20 appears to have no relationship to the sides with lengths values 10, 6, & 8.

Given that the material after "b" contains symbols and numerals that do not make sense together, it can be incomplete or improperly structured. If you would kindly submit a thorough and correctly formatted inquiry, I would be pleased to assist you with sorting the triangle according to its sides or to offer any other information you might require.

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Answer: A ( -4, -7)Step-by-step explanation:if you translate -1, three units to the left u get -4 and then when u go nine units down

Step-by-step explanation:

Answer:

2×r+10 and 3×r+1

Step-by-step explanation:

a. 9+20= 29

b. 2×9+10= 18+10 = 28

c. 4x9-10 = 36-10 =26

e. 3×9+1 = 27 +1 = 28

the correct answer are 2×r+10 and 3×r+1

Answer:

Step-by-step explanation:

Yes

Answer:

it's no

Step-by-step explanation:

6 = 5(2) - 4

7 = -1/2(2) + 8

they don't meet at (2,6)

If the second evening, she received 4 times as many calls as the third evening. The first evening, she received 10 more calls than the third evening. The number of  phone calls did she receive each evening is: 30, 80, 20.

Let x , y, z represents the 1st , 2nd, and 3rd evenings respectively

X + Y + Z = 130

Y = 4Z  

X = z+10

Substituting the second and third equations into the first:

z+10 + 4z + z = 130

Combine like terms

6z + 10 = 130

Subtract 10 from both sides

6z +10 -10 = 130 -10

6z =130 -10

6z =120
Divide both side by 6z

z = 120/6

z = 20

Solving for y

y = 4z

y = 4×20

y = 80

Solving for x

x = z+10

x = 20 +10

x = 30

Check:

x + y + z =130

30 +80 + 20 =130

Therefore they each received 30 phones, 80 phones and 20 phones.

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Answer:

Step-by-step explanation:

Remark

The way this is written, the notation is directing you to add the right hand sides of the two given polynomials.

Givens

f(x) = 2x^3 + 3x^2 + 7x + 2

g(x) =                        2x - 5                Add

Solution and Answer

Answer: (f + g)(x) = 2x^3 + 3x^2 + 9x -3

Be careful with that - 5. The result is -5 + 2 = - 3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

Answer: It's (f+g)(x)=2x^3+3x^2-5x+3

Step-by-step explanation: I just did it.

Answer:

$900

Step-by-step explanation:

18 x 50 = 900

69.25 i belive for taxes

The complement of A∪B is A′∩B ′.

A set of components in the universal set that are not a part of the initial set is known as the complement of a set in mathematics. Discover what a subset and its complement are, how to calculate a subset's complement, and the proper notation to use when writing a subset and its complement.

Given, universal set, U={1,2,3,4,5,6,7}

A={1,2,5,7}

B={3,4,5,6}

(A∪B) ′=U−(A∪B)

={1,2,3,4,5,6,7}−{1,2,3,4,5,6,7}=ϕ

A′∩B′=(U−A)n(U−B)

={3,4,6}n{1,2,7}=ϕ

Hence ( A∪B)′=A′∩B ′.

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Answer:

y=8.25x-15

Step-by-step explanation:

From the information provided, the algebraic expression will need to indicate that your earnings during the first week, y, would be equal to multiplying $8.25 for the number of hours, x, minus $15. According to that, the algebraic expression is:

y=8.25x-15

Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.

To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:

1. Write the second row of Pascal's triangle: 1, 1.

2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.

3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.

4. Apply the difference quotient formula: f(x + h) - f(x) / h.

5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.

6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.

7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.

8. Divide both terms in the numerator by h: 2x + h.

9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.

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Answer: 30.36

Step-by-step explanation:

92% of 33 is 30.36. I don't know how Bella got 30.36 questions correct, but that is what I got.

Answer:

A,b I’m pretty sure

Step-by-step explanation:

Answer:

26°

Step-by-step explanation:

∠a and the 154° angle are both supplementary, so their sum is equal to 180°.

\(a+154=180\)

\(a=26\)

So, m∠a=26°.

Answer:

If i'm not wrong it should be 26

Step-by-step explanation:

I'm so sorry if I am wrong.

Answer:

10 tons is 20000 pounds

Step-by-step explanation:

22000 pounds is heavier.

Answer:

They are not equal because 10 tons converted into pounds is 20,000, then you compare 20,000 and 22,000, 22,000 is bigger, and 20,000 is smaller.

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

i used a calculator

Answer:

it took 60 minutes to fill up 800 gallons of water???

Answer:

Multiplication -- > 6 × 3 - 8

Division --> (4 + 3)/2

Subtraction --> 4 - 5  + 7

Addition --> 15 + 8 ÷ 4 - 6

Answer:

Frank worked 80 hours

Step-by-step explanation:

40x4=160  

160 divied by 2 is 80

Answer:

Disagree

Step-by-step explanation:

because it looks like less than 45