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.

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

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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Answer:

Ah thank you, you too from me.

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  

The slope is 0, or answer choice c.

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

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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]

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.

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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Answer:

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

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-2+5=3

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

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.

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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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:

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 .

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.

Answer:

12

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

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.

Answer:

I believe it would be 5/2

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°

Answer:

3.90993025975

Step-by-step explanation:

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].

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

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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Answer:

3.15 10^-4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helps! <3

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

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!

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

Answer:

With? I dont see an image if you attached one

Step-by-step explanation:

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]