A boat is heading towards a lighthouse, whose beacon-light is 132 feet above the
water. The boat's crew measures the angle of elevation to the beacon, 5º. What is the
ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to
the nearest tenth of a foot if necessary.

Answers

Answer 1

Applying the tangent ratio, the horizontal distance, rounded to the nearest tenth, is: 1,508.8 ft.

What is the Tangent Ratio?

Tangent ratio, TOA, is expressed as, tan ∅ = opposite/adjacent.

The situation has been sketched in the diagram atatched below, where:

∅ = 5°Height of beacon = 132 ft (hypotenuse)The ship's horizontal distance from the light house = BC = ? (opposite)

Apply the tangent ratio:

tan 5 = 132/BC

BC = 132/tan 5

BC = 1,508.8 ft.

Therefore, applying the tangent ratio, the horizontal distance, rounded to the nearest tenth, is: 1,508.8 ft.

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A Boat Is Heading Towards A Lighthouse, Whose Beacon-light Is 132 Feet Above Thewater. The Boat's Crew

Related Questions

How many 1/12 parts are in 9/12

Answers

Answer:

Nine

Step-by-step explanation:

Given the following question:

12/12 = 12 parts or 1 whole unit
1/12 = 1 part of that unit
9/12 = 9 parts of that unit

If 12 parts are needed to create one whole unit or 12/12, that means they're 9, 1/12 parts in the fraction 9/12.

Your answer is "nine."

Hope this helps.

Find the GCF of the terms of each polynomial. 108f to the third power minus 54

Answers

Answer:

GCF is the Greatest Common Factor

I this Process you need to find HCF (Highest Common Factor) and Write the Common Number which is Greater among all.

The equation 22.5 + x = 42.3 can be used to find the measure of

Answers

Answer:

x = 21.8

Step-by-step explanation:

x = 42.3 - 22.5

You can find x by moving the 22.5 to the other side and witching the signs so it will be x=42.3-22.5=21.8

NEED HELP ASAP!! Which expressions are equivalent to the one below? Check all that apply.
21x/7x

Answers

The equivalent expressions [tex]$\frac{21^x}{7^x}[/tex] is [tex]$3^{x}$$[/tex].

What is an equivalent expression?

Equivalent expressions exist as expressions that work exactly even though they look different. If two algebraic expressions exist as equivalent, then the two expressions contain the exact value when we plug in the same values for the variables.

Given: [tex]$\frac{21^x}{7^x}[/tex]

Factor [tex]$21^{x} = 7^{x} \cdot 3^{x}$[/tex]

[tex]$=\frac{7^{x} \cdot 3^{x}}{7^{x}}$$[/tex]

Cancel the common factor: [tex]$7^{x}$[/tex]

[tex]$=3^{x}$$[/tex]

Therefore, the correct answer is option B. [tex]$3^{x}$$[/tex].

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#SPJ2

Find the 5th term in the sequence a,= 8-2(n-1)

Answers

Answer:

0

Step-by-step explanation:

a₅ = 8 - 2(5 - 1) = 8 - 2(4) = 0

19. Which statement describes the value of the expression below?
57 X1/6


Answers

Answer:

9/1/2

you multiply the exact form and decimal form

How many different license plates are possible if each plate contains a group of 6 letters and/or numbers?
Assume the letters can only be uppercase letters.

Answers

Answer:

click the image

Step-by-step explanation:

hope it's helpful

select the correct word form for 444,404 a four hundred forty four thousand four hundred zero tens four b four hundred forty four thousand four hundred four c four hundred forty four thousand and four hundred four​

Answers

Answer:

is four hundred forty-four thousand four hundred four

Step-by-step explanation:

you need to know  the first 4 in 444,404 is in the hundred thousands. then forty thousand, then thousands, then hundreds and lastly four.   ;-;7

Joseph bought a can in the shape of a cylinder. He wanted to paint the outside of the can but not the top and bottom. The can has a radius of 5 inches and is 10 inches tall. What is the lateral surface area of the can? 314.2 in2 157.1 in2 212.5 in2 471.3 in2

Answers

The shape of the can is cylindrical, by employing the formula for lateral surface area and plugin in our data the answer was gotten as

14.2 square inches

Mensuration of solids (Cylinder)

Given Data

Radius of can = 5 inches

Height of can = 10 inches

We know that the expression for the lateral surface area of a cylinder is given as

Lateral Surface area = 2πrh

Substitute our given Data

Lateral Surface area = 2*3.142*5*10

Lateral Surface area = 314.2 square inches

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choose the sentence that complete the fact family like 56÷7=8 7×8=56 56÷8=7 is it a 8×7=56 b 56×1=56 c 1×56=56 d 2×28=36 is it abc or d​

Answers

Answer:

A

Step-by-step explanation:

Flip the previous answers around and you will get it right!!

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!!

Answer:

A) 8 x 7 = 56

Step-by-step explanation:

Let's look at the information we have.

This is the part of the family we are given:

56 ÷ 7 = 8

7 x 8 = 56

56 ÷ 8 = 7

We can see that we have one equation that's multiplying, but two equations that are dividing.

That means we probably need another equation with multiplying.

For the division equations, we have one with the 7 in front of the 8, and one with the 8 in front of the 7.

That means we should have the same for the multiplication ones.

We have one with 7 x 8, so we should have another with 8 in front of the 7

The answer is A.

8 x 7 = 56

Help me i have to do this thing for maths and i am dead HeLp Me



A CONTAINER HAS A VOLUME OF 860CM3
FIND ITS CAPACITY ???????

Answers

]

Step-by-step explanation:

(18) What is the equation for a line perpendicular to the line described by the equation -3x + 12y – 7 = 0?

Answers

Answer:

Two lines are perpendicular if the product of their slopes equals -1.

In general form, this means that you reverse the coefficients of x and y and negate one of the two.

So the general form of this perpendicular line becomes: 12x + 3y + C = 0, or simplified: 4x + y + C’ = 0.

Now fill in the desired point to find C’: 4*(-2)+5+C’=0 so C’= 3.

The general form of the line becomes 4x + y + 3 = 0

Hope it helps!!!!!!Brainliest pls!!!!!!!

1x -8 < 2x + 1
What is the largest integer value that makes this inequality true


Answers

Answer:

The largest integer value that makes the inequality true is 9.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

1x - 8 < 2x + 1

Step 2: Solve for x

Simplify:                                                                                                            x - 8 < 2x + 1[Subtraction Property of Equality] Subtract x on both sides:                        -8 < x + 1[Subtraction Property of Equality] Subtract 1 on both sides:                        -8 < xRewrite:                                                                                                           x > -8

∴ we see that any number x greater than -8 would work as a solution to the inequality. That would mean the next largest integer, 9, would be our answer.

---

Topic: Algebra I

here a subtraction problem that has been solved incorrectly what is the right way 74-25=59​

Answers

Answer:

Answer:

the equation is wrong

Step-by-step explanation:

=> 74-25=59

since 74 - 25 equals to 59 in order to find the addition sentence that will check the subtraction problem is true and 59 and 3/5 or you can add add 59 and 25 to check if the problem was solved correctly

=> 59+25

add 59 to 25

=> 84

this means the question is wrong

Please help!!!!!!!!!!!!!!!!!!!

Answers

Answer:

  54 cm²

Step-by-step explanation:

The net of the 3 cm cube has 6 squares, each of which is 3 cm on a side. The area of each is (3 cm)² = 9 cm², so the total area is ...

  6×9 cm² = 54 cm²

Unit 3 - Task 3 - (10 points)
Your job is as an administrative assistant for factory operations for a company producing
Whatchamacallits. Your boss hands you the production information for the factory's
production of Whatchamacallits: 3 Whatchas in the first hour, 7 total after hour 2, 11
total after 3 hours and 15 after 4 hours. You are tasked to produce an equation that
models the number of Whatchas produced given the hours worked, and to find the
predicted number of Whatchas produced if the factory can run for 50 hour
uninterrupted.
Find an explicit formula that models the production for the nth term of the sequence
and use the equation to find the 50th term in the sequence. Show your reasoning for
the equation.

Answers

The 50th term in the sequence is 199

Arithmetic sequence

The nth term of an arithmetic sequence is expressed as:

Tn = a+ (n - 1)d

where:

a is the first termn is the number of termsd is the common difference

The sequence formed by the amount of Whatchamacallits produced as;

3, 7, 11, 15...

a = 3

d = 11-7 = 7-3 = 4

Substitute

Tn = 3 + (n-1) * 4
Tn = 3 + 4n -4

Tn = 4n - 1

Hence the explicit formula that models the production for the nth term of the sequence is Tn = 4n - 1

If n = 50

T50 = 4(50) - 1

T50 = 199

Hence the 50th term in the sequence is 199

Learn more on sequence here; https://brainly.com/question/6561461

Grace had a maturity value of $6,682.50 on an original investment of $6,000. She earned 6.5% annual simple interest. What was the duration of Grace’s investment?

Answers

Answer:

A = p(1 + rt)

Step-by-step explanation:

6682.50 = 6000(1 + 0.065t)

27. The diagonals of a rectangle have lengths AC = 4 + 2x and BD = 6x - 20. Find the value of x

Answers

Answer:

6

Step-by-step explanation:

Diagonals of a rectangle are congruent

4 + 2x = 6x -20 Add 20 both sides. Subtract  2x both sides

24 = 4x

x = 6

MATH QUESTION SCREEN SHOT DOWN BELOW BRAINLIEST!

Answers

Answer:

its b bc im smart

Step-by-step explanation:

Answer:

The actual correct answer to this is A

Step-by-step explanation:

Direction: Opens Up

Vertex:

(1,−2)

Focus:

(1,−7/4)

Axis of Symmetry:

x=1

Directrix:

y=−9/4

Hope this helps mark brainliest please :)

If y=16 when x=4 find y when x=6

Answers

Step-by-step explanation:

Hi! An easy way to find an answer to questions like this is to do a table

y=16 : x=4

Now, add up X and Y together until X reaches 6

y=16 x=4

y=17 x=5

y=18 x=6

As you can see, when x is 6, y is 18.

Hope this helps!

When 21 is subtracted from the square of a number, the result is 4 times the number. Find the negative solution.

Answers

Ok if I directly write the equation it will become difficult to understand , so I am dividing into small parts. :)

[tex] \\ \\ [/tex]

Let :-

number be x.

[tex] \\ [/tex]

Part 1 :-

Statement :-

21 is subtracted from the square of a number.

x² ← square of number

Equation :-

x² - 21

[tex] \\ \\ [/tex]

Part 2 :-

Statement :- the result is 4 times the number.

4 times a number means 4 × x = 4x.

Equation :-

x² - 21 = 4x

[tex] \\ \\ [/tex]

Part 3 :-

So we got our equation i.e x² - 21 = 4x , now we can finally find negetive value of x.

→x² - 21 = 4x

→x² -21 - 4x = 0

→x² - 4x - 21 = 0

→x² + 3x - 7x - 21 = 0

→x(x + 3) - 7x - 21 = 0

→x(x+3) - 7(x + 3) = 0

→(x - 7) (x + 3) = 0

Comparing:-

x - 7 = 0x = 7 ← possitive value

x + 3 = 0x = - 3 ←negetive value

[tex] \\ [/tex]

Required answer :-

[tex]\boxed{\pmb{\sf -3}}[/tex]

Answer:
x = - 3

Step-by-step explanation:
Let, the number be 'x'.

Square of the number = x²
When 21 is subtracted from the square of a number = x² - 21
Result is 4 times the number =》x² - 21 = 4x

On solving,
x² - 21 = 4x
Change to a quadratic equation,
x² - 4x - 21 = 0
By splitting - the - middle - term,
x² - 7x + 3x - 21 = 0
x(x - 7) + 3 (x - 7) = 0
(x - 7)(x + 3) = 0

Negative solution:
(x + 3) = 0
=》x = - 3


_________
Hope it helps ⚜

The expression (x-y)(x2+xy+y2) is equivalent to which of the following?

A. X2-y2

B. X3-y3

C. X3-xy2

D.x3-x2y+y2

Answers

Answer:

x^3-y^3

Step-by-step explanation:

(x-y)(x^2+xy+y^2)
Multiply the terms,
x^3 + x^2y + xy^2-  x^2y - xy^2 - y^3
Simplify the terms,
x^3 - y^3
This is also the formula for difference of two cubes.

Brainliest if correct

Answers

Answer:

[tex]24w^3 - 6 + 36y^2[/tex]

Step-by-step explanation:

[tex]-6(-4w^3+1-6y^2)\\\\-6(-4w^3) + -6(1) + -6(-6y^2)\\\\24w^3+-6+36y^2\\\\24w^3-6+36y^2[/tex]

Hope this helps!

24w^3 - 6 +36y^2 is it

Step-by-step explanation:

Expand by distributing terms.

-(-24{w}^{3}+6-36{y}^{2})

−(−24w

3

+6−36y

2

)

2 Remove parentheses.

24{w}^{3}-6+36{y}^{2}

24w

3

−6+36y

2

helppp!

a. box 1: always, sometimes , never / box 2: remain ,do not remain
b. box 1: always, sometimes , never/ box 2: always, sometimes , never
c. box 1 : always, sometimes , never/ box 2: remain, not remain/ box 3: remain, not remain

d. box 1 : awlays, sometimes, never/ box 2 : an equal distance, different distance/ box 3 : some, all, no
e. box 1 : awlays, sometimes, never/ box 2 : would, would not / box 3 : all, no.

Answers

Answer:

a. always, remain

b. always, remain

c. never, not remain, not remain

d. always, an equal distance, all

e. never, would not, all

Step-by-step explanation:

They are all correct, hope this helps -w-

Dani wants to spend less than $25 on a birthday present for her friend. If she buys a necklace for $9.50, how many pairs of earrings, e, can she buy for $3.75 each without exceeding her budget? Enter your answer in the box.

Answers

Answer:

4

Step-by-step explanation:

Since it costs $3.75 for every earring, multiply e by 3.75 like this: 3.75e

Add 9.5 on top of that since Dani already bought the necklace for $9.50

3.75e + 9.5

This sum has to be less than or equal to 25 because the budget is $25

3.75e + 9.5 ≤ 25

To find e subtract 9.5 from both sides

3.75e + 9.5 ≤ 25

          - 9.5    - 9.5

3.75e ≤ 15.5

Divide both sides by 3.75

3.75e/3.75 = 15.5/3.75 = 4.133...

You can't buy 0.133 of an earring, so the max amount of earrings she can buy is 4.

HELP
Tickets for a dance recital cost $16 for adults and $12 for children. The dance company sold 340 tickets, and the total
receipts were $4,800. How many adult tickets and how many child tickets were sold?

Answers

Answer:

adult tickets: 180

child tickets: 160

Step-by-step explanation:

adult tickets =x

child tickets =y

1. create a function

x+y=340

16x + 12y = 4800

2. solve

3. x = 180, y = 160 which also means 180 adult tickets were sold and 160 child tickets were sold

2. Vince is a member of a card club. He pays a fixed fee of $55 annually
He must pay $9 for every game he attends. He attended 12 games this year.
What is the total amount that he paid this year?

Answers

The equation computed shows that the total amount that Vince paid this year is $263.

How to solve an equation?

From the information given, Vince pays a fixed fee of $55 annually and must pay $9 for every game he attends.

The equation to solve the question will be:

= 155 + 9x

= 155 + 9(12)

= 155 + 108

= $263

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If X and Y are mutually exclusive events with P(X) = 0.295, P(Y) = 0.32, then P(X⏐Y) =

Answers

Using conditional probability, it is found that P(X⏐Y) = 0.

What is Conditional Probability?

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.

In this problem, we have that X and Y are mutually exclusive events, hence [tex]P(X \cap Y) = 0[/tex], hence:

[tex]P(X|Y) = \frac{P(X \cap Y)}{P(Y)} = \frac{0}{0.32} = 0[/tex]

More can be learned about conditional probability at https://brainly.com/question/14398287

someone pls help i need help with my math question

Answers

Answer:

21 units

Step-by-step explanation:

If I have 53 shirts and have to get 100 shirts in 37 days, how many shirts do I have to get in less 37 day?

Answers

Answer:

67

Step-by-step explanation:

Total shirts = 53

Have to get = 100

Remaining shirts:

= 100 - 53

= 67

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