A flagpole sits on the top of a cliff that is 25 m above sea level. If the angle of elevation from a boat on the water to the top of the cliff is 29 degrees and the angle of elevation from the boat to the top of the flagpole is 32 degrees, determine the height of the flagpole (rounded to one decimal place).

Answer:

A. 9.8 h

Step-by-step explanation:

1. Use the formula d = rt. Find t for r = 46.6 m/h and d = 456.68 m. Show your work.

2. Express 0.578 in words

1. d = rt

456.68 = 46.6 times t

divide both sides by 46.6 to get 9.8  

So the time is 9.8

2. 0.578 is five hundred seventy-eight thousandths

Hope this helps

For the first problem all you have to do is plug in r and d in the equation and solve for t.  So here is how we do that:

d=rt

546.68=46.6t

11.73=t

All we did there was divide both sides to isolate t (get t by itself).

For the second one you just need to know the places after the decimal point.  The first spot is the tenths, the second is the hundredths, and the third is the thousands.  So you would read 0.578 as:

Five-hundred and seventy-eight thousandths.

Substituting:

456.68 = 46.6t, so, dividing ach side by 46.6:

t = 456.68/46.6, so

t = 9.8

2. nought point five seven eight.

Answer:

5th term=20 6th term=23

Step-by-step explanation:

okay so its going up in 3

starting from 8

8,11,14,17,20,23

Answer:

need the points for a question

Answer:

Lesser r = - 7 - √11  or -10.32 to nearest hundredth.

greater r = - 7 + √11  or -3.68 to nearest hundredth.

Step-by-step explanation:

(x + 7)^2 – 11 = 0

(x + 7)^2 = 11

x + 7 = ±√11.

Answer:

every one equals 32

Step-by-step explanation:

Every hour equals 32 tickets sold

Answer:

32

Step-by-step explanation:

all equal 32

Answer:

because would die of boredom .and i wouldn't have Netflix or Hulu.and i would have nothing to look forward. to when i come home from school i would have to just go and do homework. and without TV you would not have a news channel so you wouldn't know things to are important to life.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Because if you drank the jukebox and threw it away you wouldn't have anymore

Answer:

What question?

Step-by-step explanation:

I don't see a question do you?

나는 이미 이것을했다

yeah, I'll answer them as long as i know the answer:)

Answer:

The price per square foot is $468.75

Step-by-step explanation:

You would take the price and divide it by the square footage.

540,000

-------------    =    468.75

  960

Answer:

Yes, GCF stands for (greatest common factor)

so to find it do this:

   List the prime factors of each number.

   Circle every common prime factor — that is, every prime factor that's a factor of every number in the set.

   Multiply all the circled numbers. The result is the GCF.

Step-by-step explanation:

Sol➜

We have, tan(A + B) = √3

⇒ tan(A + B) = tan60°

∴ A + B = 60° -----[i]

Again, tan(A - B) = 1/√3

⇒ tan(A - B) = tan30°

∴ A - B = 30° -----[ii]

Now, Adding [i] and [ii], we get

A + B + A - B = 60° + 30°

2A = 90° ⇒ A = 45°

Putting the value of A in [i], we have

45° + B = 60°

∴ B = 60° - 45° = 15°

Hence, A = 45° and B = 15°.

Answer:

[tex] \displaystyle A = {45}^{ \circ} \\ B = {15}^{ \circ}[/tex]

Step-by-step explanation:

we are given two equation and condition

[tex]\displaystyle \begin{cases}\tan(A+B)=\sqrt{3} \\ \tan(A - B) = \dfrac{1}{ \sqrt{3} } \end{cases}( {0}^{ \circ} < A+B < {90}^{ \circ} ) \: \text{and} \: A > B[/tex]

let's work with first equation

recall unit circle so A and B should be in Q:I

[tex] \displaystyle \: A+B = \arctan( \sqrt{3} )[/tex]

[tex] \displaystyle \: A+B = {60}^{ \circ} \cdots \: \text{I}[/tex]

let's work with second equation:

[tex] \displaystyle \: \tan(A - B) = \frac{1}{ \sqrt{3} } [/tex]

[tex] \displaystyle \: A - B = \arctan(\frac{1}{ \sqrt{3} } )[/tex]

[tex] \displaystyle \: A - B = {30}^{ \circ} \cdots \: \text{II}[/tex]

now let's use elimination method to figure out A and B

to do so combine equation I and II

[tex] \displaystyle \underline{\begin{array}{c c c}A+B = {60}^{ \circ} \\ A - B = {30}^{ \circ} \end{array}} \\ 2A = {90}^{ \circ} [/tex]

divide both sides by 2:

[tex] \displaystyle \: \frac{2 A}{2} = \frac{ {90}^{ \circ} }{2} \\ A = {45}^{ \circ} [/tex]

substitute the value of A to the second equation:

[tex] \displaystyle \: {45}^{ \circ} - B = {30}^{ \circ} [/tex]

cancel 60° from both sides:

[tex] \displaystyle \: - B = { - 15}^{ \circ} [/tex]

divide both sides by -1

[tex] \displaystyle \: B = {15 }^{ \circ} [/tex]

hence,

[tex] \displaystyle \: A = {45}^{ \circ} \\ B = {15}^{ \circ} [/tex]

Answer:

2880 in^3

Step-by-step explanation:

since 6 times 2 is 12 then you multiply 1440 times 2 as well :)

Mark me brainlyiest pls :)

Answer: [tex]720^{3}[/tex]

Step-by-step explanation: plz mark me brainliest

Answer:

Step-by-step explanation:

The rectangular prism has a volume equal to V=xyz. V=(1/3)3(5/3)=5/3 in^3. The cube has a volume equal to V=s^3. The volume of the cube is equal to the prism when

[tex]s^3=(1/3)(3)(5/3)\\ \\ s^3=5/3\\ \\ s=\sqrt[3]{\frac{5}{3}}in\\ \\ s\approx 1.19in[/tex]

Answer:

a or c

Step-by-step explanation:

hope i helped sorry if not?! have a wonderful day! :)

Answer:

\

Step-by-step explanation:

Answer:

i can't sorry

Step-by-step explanation:

Answer:

X = 9

okay If I'm wrong sry what's 9x3 it's 45 right ( me not using a caluctalter ) ( I didn't even spell that Right lol ) but anyways it's X=9

Answer:

Step-by-step explanation:

The expression equivalent to

[tex]( r^{-7})^{6} \\is\\\frac{1}{r^{42} }[/tex]

Hope it helps :)

Answer:

E is the answer

Step-by-step explanation:

This is a cyclic quadralterial so 21x-2 and 38x+5 is supplementary since they are opposite angles.

[tex]21x - 2 + 38x + 5 = 180[/tex]

[tex]59x + 3 = 180[/tex]

[tex]59x = 177[/tex]

[tex]x = 3[/tex]

Substitute 3 into angle A

[tex]38(3) + 5 = 119[/tex]

Since HA, is the intercepted arc of Angle G Angle G is twice the size of Arc HA,

Angle G=238

Answer:

The answer is d: 94

Step-by-step explanation:

Answer:

Consistent

Step-by-step explanation:

Answer:15

Step-by-step explanation:

Answer:

Rose bouquets

Step-by-step explanation:

Please mark me branliest?!?!

Answer:

Step-by-step explanation:

1). JL = 36

   Reason : Since, PN is the segment joining midpoints of sides JK and LK,

   Therefore, JL = 2(PN)

   JL = 2(36)

   JL = 72

   False.

2). ML = 36

    Reason: Since, ML = [tex]\frac{1}{2}(JL)[/tex]

    ML = [tex]\frac{1}{2}(72)[/tex]

          = 36

    True.

3). MP = 48.5

    Reason : By the same property, MP = [tex]\frac{1}{2}(LK)[/tex]

    MP = [tex]\frac{97}{2}[/tex]

    MP = 48.5

    True.

4). ∠JLK = 102°

    Reason: Segment joining midpoints of two sides of a triangle is parallel and measures half of the third side of the triangle.

     Since, PM║LK and JL is a transversal line,

     ∠JMP ≅ ∠JLK [Corresponding angles]

     m∠JLK = 102°

     True.

5). ∠PNK = 102°

    Reason : Since, PN║JL and LK is a transversal line,

    ∠JLK ≅ ∠PNK [Corresponding angles]

    ∠PNK = 102°

     True.

6). MP║PK

    Reason : MP and PK are intersecting each other at P.

    Therefore, they can not be parallel.

     False.