A flagpole casts a 40-foot shadow. The angle of elevation from the tip of the shadow to the tip of the flagpole is 32 degrees. how tall is the flagpole? round your answer to the nearest foot.

Answers

Answer 1

Apex: 25 feet is the correct answer!

Step-by-step explanation:

Take it or leave it:) Good Luck

Answer 2

The height of the pole is 25 foot (approximate)

What is angle of elevation?

The angle of elevation is the angle formed between the horizontal line and a given observer’s line of sight. From its name, the angle of elevation represents the angle formed by the ground or base and the direction or the observer’s line of sight as the observer looks up at an object.

Given,

The shadow of the flagpole = 40 foot,

and the angle from the tip of the shadow to the tip of the flagpole = 32°

Perpendicular is the height of the pole and Base is its shadow.

Tan(x)=(perpendicular)÷(base)

Tan(32°) = 0.624869352

0.624869352 = (height of pole)÷40

0.624869352 x 40 = height of pole

24.9947741 = height of pole

Height of pole = 24.9947741

Height of pole ≈ 25 foot

Hence, tthe height of the pole is 25 foot (approximate)

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Related Questions

You borrow $2000 for three years at an annual interest rate of 12% what is the total cost of the loan at the end of the three years

Answers

Answer:

2,391 paid altogether. The interest Rate was another 391 dollars.

Step-by-step explanation:

PLEASE HELP !!!!
Determine whether each equation is correct

Answers

Answer:

yes

Step-by-step explanation:

yes you are correct

Heeeeeeeeelp plsssssssss

Answers

D
Self explanation :

Would you rather discover alien life or an animal that was thought to be extinct?

Answers

[tex]\boxed{I\; would\; say\; an\; animal\; that\; was\; thought\; to\; be\; extinct.}[/tex]    

≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈

The reason i say this is because i don't really want to run into something that i don't know much about. I do know quite a bit about extinct animals more than i do aliens. So, that's my reasoning.

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[tex]\boxed{Hope\;i\;helped!}\\\\\boxed{Thanks,\;AnimeBrainly}[/tex]

log81 27 what does this equal

Answers

Answer:

3.90993025975

Step-by-step explanation:

Hanna will spend $150 on music festival tickets. Reserved seat tickets cost $25 and general admission tickets cost $10. She wrote the following to represent the situation with a linear equation. What kind of equation did she use?

Answers

Answer: Standard Form

Step-by-step explanation:

In the slope intercept form, you can only solve for one equation at a time.

Ex: y = -2.5x + 15

but when using standard you can easly get the answer for both ticket prices

Ex: 25x + 10y = 150

5r + 2g = 30 is the linear equation that best describes the scenario.

What is a Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given this, Hanna will spend $150 on music festival tickets. Reserved seat tickets cost $25 and general admission tickets cost $10.

Let "r" be the Number of reserved tickets she bought

and "g" be the number of  general admission tickets she bought

Money spent od reserved ticket = 25 * r

Money spent in general tickets = 10 *g

Since she totals spent 150$

Thus, the equation will be

25r + 10g = 150

Divide by 5 into both the sides

5r + 2g = 30

therefore, The linear equation that represents the given situation is 5r + 2g = 30.

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How do you make comparisons between an equation and a graph?

Answers

Answer:

here is a hint

Step-by-step explanation:

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

For linear equation,

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Therefore, compare slope of an equation and slope of a line on graph and compare y-intercepts.

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A music video website received 5,000 comments on a new song they released. The next day, the artist performed the song on television and an additional 1,500 comments were made on the website. What was the percent of increase? Round the percent to the nearest tenth if necessary.

Answers

Answer:

30%

Step-by-step explanation:

To be able to calculate the percent of increase between two numbers, you have to divide the increase by the initial number and multiply by 100:

Increase= 1,500

Initial number=5,000

Percent of increase=(1,500/5,000)*100

Percent of increase=0.3*100

Percent of increase=30%

According to this, the answer is that the percent of increase was 30%.

Answer:

30%

Step-by-step explanation:

PLEASE HELP I NEED AWNSER ASAP

Answers

Answer:

B

Step-by-step explanation:

8th graders IQR-5

9th graders IQR-8

So, 8th Graders IQR is 3 less than 9th Graders IQR

The function g(x) represents f(x) = 9 cosine (x minus StartFraction pi Over 2 EndFraction) + 3 after translating StartFraction pi Over 6 EndFraction units left and 4 units up.

Which equation represents g(x)?

Answers

Answer:

B

Step-by-step explanation:

Im almost sure it B but if not then its for sure D.

The equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

What is translation?

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

The function is given as

[tex]f(x)=9cos(x-\frac{\pi }{2} )+3[/tex]

The function f(x) is first translated [tex]\frac{\pi }{6}[/tex] units left.

The rule of translation is:

[tex](x,y)=(x+\frac{\pi }{6},y)[/tex]

So, we have:

[tex]f'(x)=9cos(x+\frac{\pi }{6} -\frac{\pi }{2} )+3[/tex]

Take LCM

[tex]f'(x)=9cos(x+\frac{\pi-3\pi }{6} )+3[/tex]

[tex]f'(x)=9cos(x-\frac{2\pi }{6} )+3[/tex]

[tex]f'(x)=9cos(x-\frac{\pi }{3} )+3[/tex]

Next, translate f'(x) 4 units up.

The rule of this translation is:

[tex](x,y)=(x,y+4)[/tex]

So, we have:

[tex]g(x)=9cos(x-\frac{\pi }{3} )+3+4[/tex]

[tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex]

Hence, the equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].

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For The 10% Of People That See This, Hope You Have The Best Day!

Answers

Answer:

Ah thank you, you too from me.

A toy company manufactures sealed cubes that contain a colored liquid that glows in the dark. The liquid completely fills the cubes. If 8 cubic blocks with a side length of m are needed to find the volume of each cube, how much of the liquid can each cube hold?

Answers

Answer:

[tex]Volume = 8m^3[/tex]

Step-by-step explanation:

Given

[tex]Cubes = 8[/tex]

[tex]Length = m[/tex] for each

Required

Determine how much all cubes can hold

First, we need to determine the volume of each.

[tex]Volume = m * m * m[/tex]

[tex]Volume = m^3[/tex]

For the 8 cubes, we have:

[tex]Volume = 8 * Volume\ of\ 1[/tex]

[tex]Volume = 8 * m^3[/tex]

[tex]Volume = 8m^3[/tex]

Multiply. Use the greatest common factor to write each answer in simplest form. 32 x 3/8

Answers

Answer:

12

Step-by-step explanation:

Here is a data set: 5 10 10 10 15 100 after studying the data, the research realized that the value 100 was meant to be recorded as 15. What would happens to the mean and standard deviation of the data set when the 100 is changed to a 15 for the original data set, with the 100, would the median or the mean be a better choice of measure for the center? Explain your reasoning

Answers

Answer:

The mean and SD will change

The median is a better measure of the center since it will not change in this case

Step-by-step explanation:

Given that the value 100 was changed to 15, what will happen is that the value of the mean will decrease since there is a lower total value now. This will consequently decrease the value of the standard deviation too.

Yes, the median will be a better choice

This is because, by changing the value of 100 to 15, the value of the median stays the same and thus the previous information would not be changed if the median we used .

Arianna is packing scented candles and candle holders into gift boxes. She has 84 candles and 48 holders, and each box must contain both items. She puts the same number of candles in each box, and the same number of holders in each box. What is the maximum number of gift boxes Arianna can pack, and how many scented candles and candle holders will each box have?

Answers

Answer:

Step-by-step explanation:

If she has 84 candles and 48 holders, we can write out the factors of both values as shown

For candles

84 = 2×2×3×7

84 = 12×7

For 48

48 = 2×2×2×2×3

48 = (2×2)×(2×2×3)

48 = 4×12

48 = 12×4

From both factors, we can are that 12 common to both of them. This means that the maximum number of gift boxes Ariana can pack is 12

The other factors will give the amount of scented candles and candle holders that each box will have. This means that each box will have 7scented candles and 4 holders.

a line is perpendicular to y - 5 = -1/4(x + 8) and goes through the point (-1,2). What is the lines y-intercept?

Answers

Answer:

y = 4x + 6

Step-by-step explanation:

Turn the equation we are given into slope-intercept form.

y - 5 = -1/4(x + 8)

y - 5 = -1/4x - 2

y = -1/4x + 3

The slope of a perpendicular line is the opposite reciprocal of the original line.

-1/4 -> 4/1 -> 4

Find the new y-intercept using the point given.

y = 4x + b

2 = 4(-1) + b

2 = -4 + b

6 = b

Fill in everything we solved for.

y = 4x + 6

Best of Luck!

The value of y varies directly with x and y= 125 when x = 25. what is the value of y when x=2?

Answers

Answer:

Y = 10

Step-by-step explanation:

As, Y / X = 125/25

125/25 = 5

Therefore, y = 5x

So when x = 2

Y = 5x

So, Y = 5x2

Therefore, Y = 10

[y] will be equivalent to 10, if [x] is equal to 2

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

OR

y₁/x₁ = y₂/x₂

Given is the value of [y] varies directly with [x] and y = 125 when x = 25.

Using the formula for direct proportionality -

y₁/x₁ = y₂/x₂

125/25 = y₂/2

y₂ = (125 x 2)/25

y₂ = 5 x 2

y₂ = 10

Therefore, [y] will be equivalent to 10, if [x] is equal to 2

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Martene got a small aquarium for her birthday. The aquarium is a right rectangular prism 18.5\,\text{cm}18.5cm18, point, 5, start text, c, m, end text long by 15\,\text{cm}15cm15, start text, c, m, end text wide. Martene put 3885\text{ cm}^33885 cm 3 3885, start text, space, c, m, end text, cubed of water in the aquarium. How deep is the water in the aquarium? \text{ cm} cm

Answers

Answer:

[tex]Depth = 14[/tex]

Step-by-step explanation:

Given

[tex]Length = 18.5cm[/tex]

[tex]Width = 15cm[/tex]

[tex]Volume = 3885cm^3[/tex]

Required

Determine the deep of the aquarium

Volume is calculated as thus:

[tex]Volume = Length * Width * Depth[/tex]

Substitute values for Volume, Length and Width

[tex]3885 = 18.5 * 15 * Depth[/tex]

[tex]3885 = 277.5 * Depth[/tex]

Solve for Depth

[tex]Depth = 3885/277.5[/tex]

[tex]Depth = 14[/tex]

Hence;

the depth is 14cm

Answer:

14

Step-by-step explanation:

Got it right in Khan

Someone help me w 8 and 9 please please

Answers

8. Y=-2x+8
9. Y=2/5x+3

Could I have brainliest :))

solve for substitution
x-2y+z=-11
3x+2y-z=7
-x+2y+4z=-9

Answers

Answer:

Unit rate miles per day is, 3

Step-by-step explanation:

Unit rate are defined as the rate are expressed as quantity of 1 such that 2 miles per hour or 5 km per hour.

As per the given statement: A construction crew built 1/2 miles of road in 1/6 days

by unit rate definition;

After substituting the given values we have

⇒  

or

Therefore, unit rate miles per day is, 3

Step-by-step explanation:

hhhthhg

Write the Scientific Notation for 0.000315

Answers

Answer:

3.15 10^-4

Step-by-step explanation:

Answer:

3.15 × 10 to the power of -4

Step-by-step explanation:

Hope this helps! <3

Help me plz!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

-2

Step-by-step explanation:

-2+5=3

|u+5=3| subtract 5 from both sides |u=3-5| add like terms |u=-2| check: |-2+5=3|

hope this helped!!

PLease help thanks legit only!!!!!!!!!!!!!

Answers

The slope is 0, or answer choice c.

What is the value of x?
A.9.4
B)7
C)-9.4
D)-7

Answers

Answer:

the answer is B

Step-by-step explanation:

You can automatically eliminate C and D because it is not a negative and the parallel is a positive number. Then you can eliminate A because it is not a decimal. To check your work you but 7 in for X and you will get 74°

Can someone help me please please

Answers

Answer:

With? I dont see an image if you attached one

Step-by-step explanation:

y would be 90 and x is 61

2.5 as a simplified fraction​

Answers

Answer:

I believe it would be 5/2

HELP!!! What is 0.8% as a decimal and fraction?

Answers

Decimal: 0.8

Fraction: 4/5
8/10 is the answer your looking for

8oz./1 cup = ?/12 cups. How many ounces are in 12 cups?

Answers

Answer:

12cups=96oz.

Step-by-step explanation:

multiply the volume value by 8

12 oz equals 1.50 cups. 1 ounce is equivalent to 0.125 cups, and there are 1.50 cups in 12 ounces.

i need help on this.

Answers

the value of x is: -9/2

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Combine like terms to simplify the expression. 5 x + 4 + 2 x + 5

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \text{7x + 9}}}}[/tex]

Step-by-step explanation:

[tex] \text{5x + 4 + 2x + 5}[/tex]

[tex] \text{Combine \: like \: terms} : [/tex]

[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]

[tex] ➝ \: \text{5x + 2x + 4 + 5}[/tex]

➝ [tex] \text{ 7x + 4 + 5}[/tex]

[tex] \text{Add \: the \: numbers : 4 \: and \: 5}[/tex]

[tex] ➝ \: \text{7x + 9}[/tex]

[tex] \text{Hope \: I \: helped}[/tex]!

[tex] \text{Best \: regards}[/tex]!

~[tex] \mathfrak{TheAnimeGirl}[/tex]

Answer:

7x + 9

Step-by-step explanation:

Combine like terms, means put the ones that have something in common together; in this case they are the terms with an 'x' value, and a regular numeric value.

5x+2x = 7x

5+4 = 9

therefore:

7x+9  

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