can someone please help

If boat is heading towards a lighthouse, whose beacon-light is 142 feet above the water, the distance from point A to point B is approximately 226.6 feet.

To find the distance from point A to point B, we can use the tangent function. Let x be the distance between point A and the lighthouse, and let y be the distance between point B and the lighthouse. We can then set up two equations based on the angles of elevation:

tan(13°) = 142/x

tan(20°) = 142/y

Solving for x and y, we get:

x = 142/tan(13°) ≈ 627.8 feet

y = 142/tan(20°) ≈ 401.2 feet

The distance between point A and point B is the difference between x and y:

x - y ≈ 226.6 feet

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Complete question is:

A boat is heading towards a lighthouse, whose beacon-light is 142 feet above the water. From point A, the boat’s crew measures the angle of elevation to the beacon, 13 degree, before they draw closer. They measure the angle of elevation a second time from point B at some later time to be 20 degrees . Find the distance from point A to point B. Round your answer to the nearest foot if necessary.

Answer:

-3 < 2x + 5 ≤ 7

Step-by-step explanation:

An inequality is a sentence with <, >, ≤, or ≥ as its verb. ... Similar statements hold for a ≤ b. ... To check, we can graph y1 = 3x - 5 and y2 = 6 - 2x. ... x ≤ 1. The solution set is {x|x ≤ 1}, or (-∞, 1]. The graph of the solution set is shown below. ... The sentence -3 < 2x + 5 ≤ 7 is an abbreviation for the preceding conjunction.

Answer:

x = 12

Step-by-step explanation:

what you have to do is cross multiply::

3x = 36

and then single the x out

x = 12

It means Albin was 15 minutes late to a pickup.

a represents the Number of Minutes Late, (a=15 in this case)

Now, According to the question:

A daycare charges a base fee of 333 dollars plus 0. 500. 500, point, 50 dollars per minute for late (after closing time) pick-ups.

Albin had to pay 10. 5010. 5010, point, 50 dollars for a late pick-up.

Albin uses the equation,

10.50 = 0.50a+3

0.50a = 10.50-3

0.50a = 7.50

a = 7.50/0.5

a= 15

Hence, It means Albin was 15 minutes late to a pickup.

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80.94cm² is the area of the parallelogram.

The formula of the area of a parallelogram: bh (base × height)

Now, substitute the values in the formula as follows:

Therefore, the area of a parallelogram is 80.94cm².

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\(\large \mathfrak{Solution : }\)

From the above statement we can assume an angle and its complement as x and (90° - x)

now, it's goven that the angle and it's complement are equal, so

i hope it helped...

Let the angle be x

ATQ

\(\\ \sf\longmapsto x=90-x\)

\(\\ \sf\longmapsto x+x=90\)

\(\\ \sf\longmapsto 2x=90\)

\(\\ \sf\longmapsto x=\dfrac{90}{2}\)

\(\\ \sf\longmapsto x=45\)

Answer:

x<=-4

.............................................

Answer:

= -60x- 12x power of 2 -2

Step-by-step explanation:

Answer:

the pythagoren therom

Step-by-step explanation:

\(a{2} + b^{2} = c^{2}\)

The companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste is 4, 3, 1, 2 that is option C.

Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste.

Toothpaste company

Large tubes

Small tubes

1) Sparkling

100 per hour

200 per hour

2) Bright White

100 per hour

250 per hour

3) Fresh!

200 per hour

250 per hour

4) Mint

150 per hour

150 per hour

Formula for comparative advantage is

CA=rate of producing large tubes/rate of producing small tube

For 1 Sparkling:

CA = 100/200

CA = 0.5

For 2 Bright White:

CA = 100/250

CA = 0.5

For 3 Fresh:

CA = 200/250

CA = 0.8

For 4 Mint:

CA = 150/150

CA = 1

thus, to place the companies in order of greatest comparative advantage to least comparative advantage in  producing large tubes of toothpaste is 4, 3, 1, 2.

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Complete question:

Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in

producing large tubes of toothpaste.

2.1.3.4

4.1,2,3

4,3,1,2

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Mark this and retum

Answer:

D-No, the two figures are oriented differently

Step-by-step explanation:

Answer:

I belive it is D if it is pearson savvas realize .

Hope it helps:)

Step-by-step explanation:

Simple interest earned on the principal amount $10,000 for 5 years at 4% interest per year will be $12,000.

As given in the question,

Simple Interest:

The simple interest is an amount that is paid for loan or borrowed money over a certain period at a fixed percentage of borrowed money.

Principal amount:

Principal amount is the money that is taken as loan or borrowed.

Formula of Simple Interest:

Simple interest = Principal amount × Rate × Time

Since,

Principal amount = $10,000

Rate = 4% per year

Time = 5 years

Then,

Simple interest = 10,000 × 4 × 5

Simple interest = $ 12000

Total value after 5 years = $ 12000

Principal amount = $ 10000

Interest Earned = (Total value) - (Principal amount)

Interest Earned = $ 12000 - $ 10000

Interest Earned = $ 2000

Therefore, simple interest earned on the principal amount $10,000 for 5 years at 4% interest per year will be $12,000.

The complete question is:

Fabian is taking out a loan in the amount of $10,000. His choices for the loan are a 5-year loan at 4% rate of interest .What is the amount of simple interest and interest earned Fabian would have to pay?

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No, this relation does not define y as a function of x.

A function is a relation in which each input (x-value) is paired with exactly one output (y-value). In this relation, the x-value of 2 is paired with two different y-values (3 and -3), which violates the definition of a function.

Therefore, this relation does not define y as a function of x.

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Answer:

3,975.16 United States Dollar

Step-by-step explanation:

Answer:

f(x) = 2x – 3

f(0) = 2(0) – 3 = -3

f(1) = 2(1) – 3 = 2 – 3 = -1

(f(0) + f(1))/2 = (-3 - 1)/2 = -4/2 (f(0) + f(1))/2 = - 2

Answer:

c<2$

c>36$

Step-by-step explanation:

._.

Using paper and pencil, but no calculator, we can find 39453 leaves a remainder of 9 when divided by 12, so does 39453 * 1.

When we divide 39453 by 12,

we get a quotient of 3287 and a remainder of 9 (also known as the modular residue of 39453 modulo 12).

We must now find a natural number k that satisfies the following equation:

9  k mod 12

Given that k is a natural number between 0 and 11, there are only a few possibilities we need to test. Since 9 * 1 = 9 is equivalent to 9 modulo 12,

k = 1 is the solution to the equation.

In order to check our answer, we must perform the following multiplication:

39453 * 1 = 39453

As a result, we've double-checked that our answer is correct.

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Answer:

When the y variable tends to increase as the x variable increases we say there is a positive correlation between the variables

Answer:

Use Pythagoras theorem.

Step-by-step explanation:

(hyp)2=(base)2+(per)2

(12)2=(y)2+(9)2

144=y2+81

144-81=y2

63=y2

√63=y

7.93=y

Answer:

Therefore, the measure of ∠x is 33 degrees.

Step-by-step explanation:

As angle ∠S is a right angle and angles ∠R and ∠x are complementary, we have:

∠R + ∠x = 90 degrees

Substituting the given values, we get:

57 + ∠x = 90

∠x = 90 - 57

∠x = 33 degrees

Answer: x = 32°

Step-by-step explanation: triangle of ABC = 58°, 90° & x°

                                              x = 180°-148° = 32°

(x° is equal to the unknown° where C is, as well as 58° where A is)

Answer:

172.5

Step-by-step explanation:

its 172.5 because 345÷2 equals 172.5 therefore she had 172.5 dollars in her savings

Answer:10:05

Step-by-step explanation:

subtract 45 from 50!

Answer:

She started the test at 10:05 am

Step-by-step explanation:

Take the end time and subtract the time of the test

10:50-45 = 10:05

She started the test at 10:05 am

The quotient of the number 32 × 10⁻²² and 8 × 10⁻²² will be 4 × 10⁰. Then the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numbers are given below.

32 × 10⁻²² and 8 × 10⁻²²

The quotient of the number 32 × 10⁻²² and 8 × 10⁻²² will be given as,

⇒ (32 × 10⁻²²) / (8 × 10⁻²²)

⇒ 32 / 8

⇒ 4 × 10⁰

The quotient of the number 32 × 10⁻²² and 8 × 10⁻²² will be 4 × 10⁰. Then the correct option is D.

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The complete question is attached below.

Consider the same figure as given above. It is observed that DP/PE = DQ/QF and also in the triangle DEF, the line PQ is parallel to the line EF.

So, ∠P = ∠E and ∠Q = ∠F.

Hence, we can write: DP/DE = DQ/DF= PQ/EF.

The above expression is written as

DP/DE = DQ/DF=BC/EF.

It means that PQ = BC.

Hence, the triangle ABC is congruent to the triangle DPQ.

(i.e) ∆ ABC ≅ ∆ DPQ.

Thus, by using the AAA criterion for similarity of the triangle, we can say that

∠A = ∠D, ∠B = ∠E and ∠C = ∠F.

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Answer:

75%*x-5=58.33%

Step-by-step explanation:

Answer:

2.1

Step-by-step explanation:

Use F ookin desmos

Answer:

2.1 < x <2.5

Step-by-step explanation:

edge

To determine whether the sequence {an} = 5n/4n + 1 is convergent or divergent, we can analyze its behavior as n approaches infinity.

First, let's rewrite the expression for the nth term of the sequence:

an = 5n / (4n + 1)

As n approaches infinity, the denominator 4n + 1 becomes dominant compared to the numerator 5n. Therefore, we can simplify the expression by neglecting the term 5n:

an ≈ n / (4n + 1)

Now, we can consider the limit of the sequence as n approaches infinity:

lim(n→∞) n / (4n + 1)

To evaluate this limit, we can divide both the numerator and denominator by n:

lim(n→∞) (1 / 4 + 1/n)

As n approaches infinity, the term 1/n approaches zero, leaving us with:

lim(n→∞) 1 / 4 = 1/4

Since the limit of the sequence is a finite value (1/4), we can conclude that the sequence {an} = 5n/4n + 1 is convergent.

In other words, as n gets larger and larger, the terms of the sequence {an} get closer and closer to the limit of 1/4. This indicates that the sequence approaches a fixed value and does not exhibit wild oscillations or diverge to infinity. Therefore, we can say that the sequence is convergent.

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The relation "r" on the set of all integers, where x = y^2, is not reflexive.

A relation is reflexive if every element in the set is related to itself. In this case, for the relation x = y^2 to be reflexive, every integer "x" should be related to itself, meaning that x = x^2. However, this is not true for all integers.

For example, if we consider x = 2, it is not equal to 2^2 = 4. Similarly, if we consider x = -3, it is not equal to (-3)^2 = 9.

Since there are integers that do not satisfy the condition x = x^2, the relation x = y^2 is not reflexive on the set of all integers.

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Answer: -15/4 or -3 3/4

Step-by-step explanation:

To solve this problem, you can create an equation:

\(T(x) = 0 - \frac{5}{4}x\)

For this equation, we want x to represent the hours passed. We know that noon is three hours after 9AM so we can plug 3 in:

\(T(3) = 0 - \frac{5}{4} * 3 = -\frac{15}{4}\)

I hope this helps, and if you need any more clarification, let me know.

Answer:

(0,-16)

Step-by-step explanation: