A tree is 18 feet tall and casts a shadow
that is 22 feet long. How far is it from the
end of the shadow to the top of the tree?
Show your work.

Step-by-step explanation:

=108÷12

=9m/s

=9x0.001x1/3600

=2.5x10^6km/h

Check the picture below, so the green line is really the radius of the circle, and we know its center.

[tex]~~~~~~~~~~~~\textit{distance between 2 points}\\\\(\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})\qquad(\stackrel{x_2}{\frac{15}{2}}~,~\stackrel{y_2}{1})\qquad \qquadd = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}\\\\\\\stackrel{radius}{r}=\sqrt{[\frac{15}{2} - 0]^2 + [1 - (-3)]^2}\implies r=\sqrt{\left( \frac{15}{2} \right)^2 + (1+3)^2}\\\\\\r=\sqrt{\left( \frac{15}{2} \right)^2 +4^2}\implies r=\sqrt{\frac{225}{4} + 16}\implies r=\sqrt{\cfrac{289}{4}}\implies r=\cfrac{17}{2}\\\\[-0.35em]\rule{34em}{0.25pt}[/tex]

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{0}{ h},\stackrel{-3}{ k})\qquad \qquad radius=\stackrel{\frac{17}{2}}{ r} \\\\\\\ [x-0]^2~~ + ~~[y-(-3)]^2~~ = ~~\left( \cfrac{17}{2} \right)^2\implies x^2+(y+3)^2 = \cfrac{289}{4}[/tex]

Answer:

[A}

Step-by-step explanation:

Graph using the end point and a few selected points.

x     y

0     1

1     2

2  2.41

Graph also below:

Find y intercept

[tex]\\ \rm\rightarrowtail y=\sqrt{x}+1[/tex]

[tex]\\ \rm\rightarrowtail y=0+1=1[/tex]

Option A

Fort nite battle pass is 8 dollars

Answer:

Read the explanation

Step-by-step explanation:

look at the photo

Answer:

C)  8 sheets of red and 13 sheets of yellow felt

Step-by-step explanation:

Red felt

Red felt needed for 1 toy = 3/8 sheet

⇒ Red felt needed for 20 toys = 20 × 3/8 sheets

[tex]\sf \implies 20 \times \dfrac38=\dfrac{20}{1}\times \dfrac38=\dfrac{20 \times 3}{1 \times 8}=\dfrac{60}{8}=7\frac12[/tex]

Therefore, 8 complete sheets of red felt are needed.

Yellow felt

Yellow felt needed for 1 toy = 5/8 sheet

⇒ Yellow felt needed for 20 toys = 20 × 5/8 sheets

[tex]\sf \implies 20 \times \dfrac58=\dfrac{20}{1}\times \dfrac58=\dfrac{20 \times 5}{1 \times 8}=\dfrac{100}{8}=12\frac12[/tex]

Therefore, 13 complete sheets of yellow felt are needed.

Answer:

15 inches cubed

Step-by-step explanation:

length 2 1/2 in

width 1 1/2 in

height 4 in

V= = l x w x h

V = 2 1/2 x 1 1/2 x 4

60/4 = 15

Hello, it seems your questions didn't upload correctly. Are you able to resend it?

There was a total of w + 36 people at the party.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, The adults and children in a neighborhood attended a party. There were 18 children.

Let "x" be the number of Persons in the party

Since,

There were w fewer children than adults.

thus,

Number of Adults in the party = w + 18

x = w  + 18

Total number of people at party = x + 18

Total number of people at party = w + 18 + 18

Total number of people at party = w + 36

Therefore, there were w + 36 people at the party.

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there will be your 1000 caterpillars

Answer:

12

Step-by-step explanation:

4a = b and A-41=b-5

a-41+5=b

a-36 =b

which means a+36 =4a

so 3a=36 and a=12

i dont understand your question

Answer:

[tex]f(x)=-5x^2+20x[/tex]

8.75 m

Step-by-step explanation:

Given ordered pairs:  (0, 0) (1, 16) (2, 20) (3, 15.5) (4, 0)

From inspection, we can see that the difference in the x-values is constant (they increase by 1 each time), yet the difference in the y-values is not constant.  Therefore, the relation is not linear.

As the y-values increase from 0 to 20 and then decrease back to 0, the curve is likely to be a parabola opening downwards.

The x-intercepts are at x = 0 and x = 4, so this suggests that the axis of symmetry is x = 2, and so the vertex is (2, 20).

Creating an equation using the x-intercepts:

[tex]f(x)=a(x-0)(x-4)[/tex]  where [tex]a[/tex] is some constant

[tex]\implies f(x)=ax(x-4)[/tex]

[tex]\implies f(x)=ax^2-4ax[/tex]

Creating an equation using the vertex form:

[tex]f(x)=a(x-2)^2+20[/tex]

[tex]\implies f(x)=ax^2-4ax+4a+20[/tex]

Equating constants to determine a:

[tex]4a+20=0 \implies a=-5[/tex]

Therefore, equation of best fit: [tex]f(x)=-5x^2+20x[/tex]

When x = 0.5:

[tex]\implies f(0.5)=-5(0.5)^2+20(0.5)[/tex]

                 [tex]=-1.25+10[/tex]

                 [tex]=8.75[/tex]

Therefore, an estimate for the height of the rocket 0.5 s after it's launched is 8.75 m

Answer:

(-16, -4)

Step-by-step explanation:

4x - 13y = -12

x = 2y - 8

Substitute for x:

4(2y - 8) - 13y = -12

8y - 32 - 13y = -12

-5y - 32 = -12

-5y = 20

y = -4

Solve for x:

4x - 13(-4) = -12

4x + 52 = -12

4x = -64

x = -16

Solution to this system: (-16, -4)

I hope this helps!

Answer:

there are two methods

1. graphical method

2. elimination method

3. substitution method

Answer:

Total Surface Area = 1008 cm^2

Step-by-step explanation:

2 X 1/2 X (12 X 9) (Surface area of the two triangles) (Area of triangle = 1/2 Base X Height)

+ 25 X 15 (Slanted Surface)

+ 25 X 9 (Back Rectangle)

+ 25 X 12 (Bottom Rectangle)

= 1008

Answer:

its gonna be 212 fam

Step-by-step explanation:

Answer:

  46.7 mph

Step-by-step explanation:

The speed can be found by substituting the measured skid length for the variable in the formula.

  v = √(20L)

  v = √(20×109) = √2180 ≈ 46.7

The car was traveling at approximately 46.7 miles per hour.

Answer:

3 participants

Step-by-step explanation:

7 + 6 + 5 = 18

21 - 18 = 3 participants

Answer:

Step-by-step explanation:

For the rectangular prism:

V = l*w*h <== substitute the values (from above) for the variables

V = 5*8*3

V = 40*3

V = 120 cm^3 (cubed)

For the triangular prism:

V = 1/2*b*h*l <== substitute the values (from above) for the variables

V = 1/2*6*3*2

V = 3*3*2

V = 9*2

V = 18 cm^3 (cubed)

Hope helps!

Step-by-step explanation:

we have to solve 2 right-angled triangles via Pythagoras

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90° angle).

one triangle is 37, 12 and the longer part of the long diagonal.

the second triangle is 13, 12 and the shorter part of the long diagonal.

the whole diagonal is then the sum of both parts.

37² = 12² + longer part²

1369 = 144 + longer part²

longer part² = 1225

longer part = 35

13² = 12² + short part²

169 = 144 + short part²

25 = short part²

short part = 5

so, the total diagonal is 35 + 5 = 40 units.

The length of the longer diagonal obtained using Pythagorean theorem is 40 units

The Pythagorean theorem is a fundamental geometric relationship that states that the square of the hypotenuse side of a right triangle is equivalent to the sum of the squares of the other two sides (the legs). Mathematically, we get

c² = a² + b²

Where a and b are the lengths of the legs  and c is the length of the hypotenuse side of the right triangle.

The diagonals of a kite are perpendicular to each other

The diagonal that is bisected in a kite is the shorter diagonal

The lengths from the left point to the middle and the distance from the right point to the middle are both 12, which indicates that the diagonal from left to right of the kite is bisected, which is the shorter diagonal. Therefore;

The length of the shorter diagonal is; 12 + 12 = 24

Therefore, the longer diagonal forms two right triangles to the left and two right triangles to the right

The hypotenuse length of the right triangles are 37 and 13, while the leg common to both right triangles on each side is half the length of the shorter diagonal, or 12

The Pythagorean theorem indicates that we get;

Length of the longer diagonal = √(13² - 12²) + √(37² - 12²) = 40

The length of the longer diagonal is 40 units

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Frank would need two gallons of maroon painting and one gallon of white painting to paint all his room.

Area of the ceiling:

Assuming the floor has the same area, the total area for the floor and ceiling is 288 square feet.

Area of the door:

Total area in white 144 feet + 21 feet = 165 square feet

Total of gallons

1 gallon equals 400 square feet, which means only one gallon of white painting is required.

Area of one wall:

Considering 1 gallon equals 400 square feet, a total of 2 gallons would be required.

Note: This question is incomplete because the image of the room is missing; below I attach the missing section.

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Answer:2 is a solution 3 is not 0 is not 10 is and also to determine the solution you can get calculator soup to help you Hope this helps bye

Answer:

I think the answer is 3x

Step-by-step explanation:

If i am wrong please correct me

The correct answer is 3x

So, the equation is [tex]18x^{3}+6x^{2} y-9x^{2} -3xy[/tex]

We need to find the GCF from the given equation  

[tex]3x(6x^{2} +2xy-3x-y)[/tex]

Hence, here we are getting the common factor as 3x

which the largest common factor in the given equation.

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The order of investment options from least to greatest risk is:

A B rated bond is considered safer than the rest because there is a high chance that the owners of the bond will redeem it. Property is not very risky but can be susceptible to market shocks.

Speculative stock is the third riskiest because its prices are prone to fluctuation. Starting a business is by far the riskiest because a lot of new businesses fail.

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Answer:

B-rated bond

property

starting a business

speculative stock

Step-by-step explanation:

Answer:

k

[tex]2xyy15 { { \div - \\ \sqrt[ {x. - - {?}^{?} }^{2} ]{?} }^{2} }^{2} [/tex]

Answer:

On the day the link was emailed, trailer

A

had the most views.

Two days after the link was emailed, trailer

A

had the most views.

Four days after the link was emailed, trailer

B

had the most views.

Step-by-step explanation:

The total number of views on the day the email was sent, two days later, and four days later are represented by the values of the functions when x = 0, 2, and 4.

Substitute these values into the equation:

Find these values in the table:

Apply the described rule:

So, on the day the link was emailed, trailer A had the most views.

Two days after the link was emailed, trailer A had the most views.

Four days after the link was emailed, trailer B had the most views.

A market system with perfect competition is one in which there are several buyers and sellers interacting with the same goods.

A perfectly competitive market structure is widely found a market in the Indian economy. This market often accepts prices as a single seller cannot change the market price in the economy. Together with other characteristics, this trait sets this market apart from other types of markets.

Let's discuss the characteristics of the perfectly competitive market in detail which are as follows:

1. Large number of buyers and sellers- A commodity has a high number of buyers and sellers when there is ideal competition. Because there are so many customers, each one only purchases a very little portion of the available supply.

2. Homogeneous Products- Products in this market are homogenous in nature which means the products are identical in nature. This suggests that each company's output, in terms of quantity, quality, colour, size, features, etc., is a perfect substitute for the work of the others. This suggests that consumers don't care about what different companies produce.

3. Free entry and exit of firms- In the economy, there are 2 periods: long run and short run. In the long run, there is completely free entry and exit of firms while in the short run, some factors may contribute to the obstruction of entry and exit of firms. This guarantees that all businesses will ultimately make a regular profit or no economic profit, which evaluates the opportunity cost of the business to either continue operating or close.

4. Perfect Knowledge- In this market structure both the sellers and buyers have perfect knowledge of the market factors like price prevailing in the market because of this feature no seller can charge a higher price in the market to any customer.

5. No transportation cost- The products sold in this market structure are generally sold locally so there incur no transportation cost. Also because the same price is prevailing in the market sellers not require to transport anything.

6. No promotion cost- Homogeneous product is sold and uniform prices prevail so the sellers do not need to incur any selling cost like advterisemt for such a product. So the promotional cost incurred by firms is zero.

7. Price Taker- Firms are generally price takers in this structure of the market as sellers cannot influence the price of the goods so they need to accept the price that is prevailing in the market.

8. Perfect mobility of factors of production- Factors of production like Land, Labour and Capital are perfectly mobile in this market structure. These factors can freely move in and out of industry making demand and supply equal to each other.

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Answer:

9n/60

Step-by-step explanation:

add 1/12 + 1/15 which = 5/60 + 4/60.

= 9/60

YAY!!!!!!!

The fraction of the exams that Mr Tough and Mrs Nice grade in 1 hour if they work together is 3/20

In Maths, a fraction is used to represent the portion/part of the whole thing. A fraction has two parts, namely numerator and denominator. There are proper fractions, improper fractions and mixed fractions.

Example: 2/5, 1/4 etc.

We will this equation,

rate × time = work done

For this problem:

             Mr Tough's rate:

                          Mr Tough's rate × 12 hours = final exam

                          Mr Tough's rate = 1/12

             Mrs.Nice's' rate:

                            Mrs .Nice's' rate × 15 hours = final exam

                            Mrs .Nice's' rate = 1/15

To make this into a solvable equation,  find the total time (T) needed for Mr Tough and Mrs.Nice to grade the final exam. This time is the sum of the rates of Mr Tough and Mrs.Nicea, or:

Total time:

T(1/12 hours + 1/15 hours) = final exam

T =  final exam / (1/12 + 1/15)

Simplifying we get,

T =  final exam / (0.15)

Now, to finish in 1 hour we will find what fraction of the final exam they can grade, so taking T = 1 hour,

1 hour =  final exam / (0.15)

By further simplifying,

final exam = 1 × 0.15

                 = 0.15

                 = 15/ 100

                 = 3/20

Therefore, 3/20 fraction of the final exam they can grade if they work together for 1 hour.

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Answer:

7 / 16, 3 / 7, 1 / 5

Step-by-step explanation:

1 / 5 = 0.2

3 / 7 = 0.428

7 / 16 = 0.4375

In descending order,

0.4375, 0.428, 0.2

Hence the answer is 7 / 16, 3 / 7, 1 / 5