PLEASE HELP!!!
The length of a shadow of a building is 32 m. The distance from the top of the building to the tip of the shadow is 37 m. Find the
height of the building. If necessary, round your answer to the nearest tenth.

PLEASE HELP!!! The Length Of A Shadow Of A Building Is 32 M. The Distance From The Top Of The Building

Answers

Answer 1

Answer:

the height of the building is 18.6 m

Step-by-step explanation:

using the Pythagorean theorem

a^2+b^2=C^2

a and b are the shorter legs while c is the hypotenuse

a=32, b=?, c=37

32^2+b^2=37^2

square the known numbers ( a and c)

1024+b^2=1369

subtract 1024 from both sides

b^2=345

square root both sides to cancel the square on b

b=18.5741756

Round if needed b=18.6m


Related Questions

please help with this qn asap!! tyy!!​

please help with this qn asap!! tyy!!

Answers

Answer:

i) AC = 6 - √3 cmii) BC² = 37 - 12√3  cm²

----------------------

Given triangle withArea of 1/4(12 + 9√3),Side AB = √3 + 2,Angle BAC is 60°.

Part i

Find the side AC.

Use area formula:

A = ab sin∠C / 2, where a, b are adjacent sides and C is angle between a and b.

Substitute and solve for AC:

1/4(12 + 9√3) = (√3 + 2) AC sin(60°) / 21/4(12 + 9√3) = AC (√3 + 2) (√3/2) / 2(12 + 9√3)/4 = AC √3(√3 + 2)/412 + 9√3 = AC√3(√3 + 2)AC = (12 + 9√3) /√3(√3 + 2)AC = (4√3 + 9) / (√3 + 2)AC = (4√3 + 9)(√3 - 2) / (√3 + 2)(√3 - 2)AC = (4√3√3 + 9√3 - 8√3 - 18) / (3 - 4) AC = (4*3 + √3 - 18) / ( - 1)AC = -  (√3 - 6)AC = 6 - √3

Part ii

Use the law of cosines

BC² = AB² + AC² - 2 × AB × AC × cos ∠ABC² = (√3 + 2)² + (6 - √3)² - 2(√3 + 2)(6 - √3) cos 60°BC² = 3 + 4 + 4√3 + 36 + 3 - 12√3 - 2(6√3 - 3 + 12 - 2√3) / 2 BC² = 46 - 8√3 - (4√3 + 9)BC² = 46 - 8√3  - 4√3 - 9BC² = 37 - 12√3

Answer:

\(\textsf{(i)} \quad \left(6-\sqrt{3} \right)\; \sf cm\)

\(\textsf{(ii)} \quad \left(37-12\sqrt{3}\right)\; \sf cm^2\)

Step-by-step explanation:

Part (i)

\(\boxed{\begin{minipage}{7.6 cm}\underline{Area of a triangle} \\\\$A=\dfrac{1}{2}ab \sin C$\\\\where:\\ \phantom{ww}$\bullet$ $C$ is the angle. \\ \phantom{ww}$\bullet$ $a$ and $b$ are the sides enclosing the angle. \\\end{minipage}}\)

Given:

\(\textsf{Area}=\dfrac{1}{4}(12+9\sqrt{3})\)\(a=(\sqrt{3}+2)\)\(C=60^{\circ}\)

Substitute the given values into the formula to find AC (side b).

\(\begin{aligned}\textsf{Area}&=\dfrac{1}{2}ab \sin C\\\\\implies \dfrac{1}{4}(12+9\sqrt{3})&=\dfrac{1}{2}(\sqrt{3}+2)b \sin 60^{\circ}\\\\\dfrac{1}{4}(12+9\sqrt{3})&=\dfrac{1}{2}(\sqrt{3}+2) \dfrac{\sqrt{3}}{2}b\\\\\dfrac{1}{4}(12+9\sqrt{3})&=\dfrac{\sqrt{3}}{4}(\sqrt{3}+2)b\\\\12+9\sqrt{3}&=\sqrt{3}(\sqrt{3}+2)b\\\\12+9\sqrt{3}&=(3+2\sqrt{3})b\\\\b&=\dfrac{12+9\sqrt{3}}{3+2\sqrt{3}}\\\\b&=\dfrac{12+9\sqrt{3}}{3+2\sqrt{3}}\cdot \dfrac{3-2\sqrt{3}}{3-2\sqrt{3}}\end{aligned}\)

                         \(\begin{aligned}b&=\dfrac{36-24\sqrt{3}+27\sqrt{3}-54}{9-6\sqrt{3}+6\sqrt{3}-12}\\\\b&=\dfrac{-18+3\sqrt{3}}{-3}\\\\b&=6-\sqrt{3}\end{aligned}\)

Therefore, the length of AC is (6 - √3) cm.

Part (ii)

\(\boxed{\begin{minipage}{6 cm}\underline{Cosine Rule} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}\)

Given:

\(c = BC\)\(a = AB=(\sqrt{3}+2)\)\(b = AC=(6-\sqrt{3})\)\(C = \angle BAC=60^{\circ}\)

Substitute the given values into the formula to find BC²:

\(\begin{aligned}c^2&=a^2+b^2-2ab \cos C\\\\\implies BC^2&=AB^2+AC^2-2(AB)(AC) \cos C\\\\BC^2&=(\sqrt{3}+2)^2+(6-\sqrt{3})^2-2(\sqrt{3}+2)(6-\sqrt{3}) \cos 60^{\circ}\\\\BC^2&=7+4\sqrt{3}+39-12\sqrt{3}-2(9+4\sqrt{3}) \cdot \dfrac{1}{2}\\\\BC^2&=7+4\sqrt{3}+39-12\sqrt{3}-9-4\sqrt{3} \\\\BC^2&=37-12\sqrt{3}\end{aligned}\)

Therefore, BC² is (37 - 12√3) cm².

please help with this qn asap!! tyy!!

If you bought a stock last year for a price of $103, and it has risen 7% since then, how
much is the stock worth now, to the nearest cent?

Answers

Answer:

the stock is worth $110.21

Step-by-step explanation:

The first thing you want to do is multiply 0.07 and 103, to find out what 7% of 103 is. When you multiply those two numbers you are going to get 7.21. You are then going to add 103 and 7.21 to find out how much it would be worth now.

Answer:

$110.21

Step-by-step explanation:

well 7% of 103 is 7.21  so if you add that to 103 it = 110.21

Surface Area and Volume
Z
X
X
Note: Figure not drawn to scale.
Height has been rounded for computational ease.
If X = 13 units, Y = 11 units, and Z = 15 units, then what is the surface area of the right triangular pyramid shown above?
OA.
390 square units
OB. 266.5 square units
OC. 435.5 square units
OD. 364 square units

Answers

The surface area of the right triangular pyramid is 435.5 square units.

What is a surface area of a triangle?

A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed. It implies that the internal angles of a triangle add up to 180 degrees. It is the polygon with the fewest sides.

Here, we have

Given: X = 13 units, Y = 11 units, and Z = 15 units

We have to determine the surface area of the right triangular pyramid.

Surface area = base area + 1/2 (perimeter × slant height)

A = xy + 1/2 (3x ×  z)

A = 13 × 11 + 1/2 (3× 13 ×  15)

A = 143 + 292.5

A = 435.5 square units.

Hence, the surface area of the right triangular pyramid is 435.5 square units.

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A clothes washer used 2.6 kilowatt for 0.9 hour. If electricity costs $0.47 per kilowatt-hour, how much did it cost (in dollars, to the nearest penny) to use the clothes dryer

Answers

It would cost approximately $1.10 to use the clothes washer.

To calculate the cost of using the clothes washer, you'll need to multiply the energy usage (in kilowatts) by the duration (in hours) and the cost per kilowatt-hour. In this case, the clothes washer used 2.6 kilowatts for 0.9 hours and the electricity cost is $0.47 per kilowatt-hour.

To find the total cost, use the following formula:

Total cost = Energy usage (kilowatts) × Duration (hours) × Cost per kilowatt-hour

Plug in the given values:

Total cost = 2.6 kilowatts × 0.9 hours × $0.47 per kilowatt-hour

Total cost = $1.1046

To find the cost to the nearest penny, round the result to two decimal places:

Total cost = $1.10

So, it cost approximately $1.10 to use the clothes washer.

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Entertainment Media Suppose that p(m) is the amount that a producer spends, in hundred dollars, on advertising a concert for which the expected profit is m thousand dollars. Write a sentence of interpretation for each of the following:a. p(130) = 170b. p' (60) =-3.8c. p' (215) = 12.1

Answers

a)the producer spent $17000 on advertising for a concert that is expected to generate a profit of $130000. b)the rate of change of advertising cost with respect to expected profit is negative at 60 thousand dollars. c)the rate of change of advertising cost with respect to expected profit is positive at 215 thousand dollars.

In entertainment media, the function p(m) represents the amount spent by a producer on advertising a concert, where the expected profit is m thousand dollars. If p(130) = 170, it means that the producer spent $17000 on advertising for a concert that is expected to generate a profit of $130000.

If p'(60) = -3.8, it means that the rate of change of advertising cost with respect to expected profit is negative at 60 thousand dollars. In other words, for every additional $1000 increase in expected profit, the advertising cost decreases by $3.80.

Lastly, if p'(215) = 12.1, it means that the rate of change of advertising cost with respect to expected profit is positive at 215 thousand dollars. In other words, for every additional $1000 increase in expected profit, the advertising cost increases by $12.10. These interpretations are useful for producers to make informed decisions about advertising costs and expected profits in entertainment media.

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!!PLEASE HELPPPP MEEE!!

!!PLEASE HELPPPP MEEE!!

Answers

Answer:

Step-by-step explanation:

5989.87

If f(x) and f-1(x) are inverse functions of each other and f(x)=2x+5, what is f-1(8).

Answers

Answer: 3/2

Step-by-step explanation:

Help meeeeeeeeeeeeeee!!!!!!!!!

Help meeeeeeeeeeeeeee!!!!!!!!!

Answers

If joe bartolozzi is only 4 11 than that explains the monkey doing the salute

Answer:

3/20 students have one sibling so 15 percent (%)

The coordinates of point T are (0,2). The midpoint of ST is (7, -4). Find the coordinates of point S.

Answers

Answer: The coordinates of point S is (14,-10).

Step-by-step explanation:

Midpoint of line joining \((x_1,y_1)\) and \((x_2,y_2)\) is given by :-

\((x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})\)

Given, The coordinates of point T are (0,2). The midpoint of ST is (7, -4).

Let (a,b) be the coordinates of point S.

Then,

\((7,-4)=(\dfrac{0+a}{2},\dfrac{2+b}{2})\\\\\Rightarrow\ 7=\dfrac{a}{2},\ \ \ -4=\dfrac{2+b}{2}\\\\\Rightarrow\ a=7\times 2= 14, \ \ 2+b= 2\times-4 =-8\\\\\Rightarrow\ a=14,\ \ \ 2+b=-8\\\\\Rightarrow\ a=14, \ b= -8-2=6--10\\\\\Rightarrow\ a=14,\ b=-10\)

Hence, the coordinates of point S is (14,-10).

6th grade math! Emily made 8 field goals in 25 attempts. What decimal represents the number of field goals she made?

Answers

Answer:

3.125

Step-by-step explanation:

I had use a calulator I'm sorry if I'm

Answer:

0.32

PLEASE MARK BRAINLIEST

Determine whether the distribution represents a probability distribution. X 3 6 0.3 0.4 P(X) Oa. Yes b. No 9 0.3 0.1

Answers

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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Please help me with this!

Please help me with this!

Answers

Go faster 50 for insurance And 40 per hour

Blaster Jet Ski 70 for insurance and 30 per hour

50 + 40x = 70 + 30x

x is the hours

10 x = 20

x = 2

after 2 hours both will charge the same amount of money .

Please help me with this!

The scale on this drawing is 2 in: 5 ft. Based on this, how
many inches long and wide will the kitchen be?
BEDROOM
10'6" x 12'6"
MASTER
BEDROOM
13' x 15'
CLOSET
LIN
BATH
BATH
CLOSET
CLOSET
LIN
UTILITY
LIVING/DINING
15' x 23¹
CLOSET
BALCONY
FOYER
KITCHEN
9x9⁰
BREAKFAST
9' X 7'
27

Answers

Based on this scale factor, the length and width of the kitchen would be: A. 1.8 inches long by 1.8 inches wide.

What is a scale factor?

In Geometry and Mathematics, a scale factor simply refers to the ratio of two corresponding side lengths in two similar geometric figures such as kites, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.

In Geometry, the scale factor of a geometric figure can be calculated by dividing the side lengths of the image by the side lengths of the pre-image:

Scale factor = length of image (new figure)/length of pre-image (actual figure).

Scale factor = 2/5

For the actual length of kitchen, we have:

Scale factor = New length of kitchen/Actual length of kitchen

Actual length of kitchen = 9/5 = 1.8 in.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The scale on this drawing is 2 in: 5 ft. Based on this, howmany inches long and wide will the kitchen

Ten pairs of points yielded a correlation coefficient r of 0.790. If a = 0.05 , which of the following statements is correct if H0: p = 0? (Do not calculate a t-value.)Question 8 options: Because 0.790 is greater than 0.632, the null hypothesis is not rejected. Because 0.790 is greater than 0.632, the null hypothesis is rejected. Because 0.790 is greater than 0.602, the null hypothesis is not rejected. There is no correlation between the variables.

Ten pairs of points yielded a correlation coefficient r of 0.790. If a = 0.05 , which of the following

Answers

The null hypothesis is given by:

\(H_0:\rho=0\)

We also know that the correlation coefficient is r = 0.79 and that the confidence level is 1 - a = 1 - 0.05 = 0.95

r = 0.79 usually indicates a strong correlation, while we are spect a coefficient p = 0. Therefore, since it is 0.79 grater than 0.632, the null hypothesis is rejected.

How do you calculate energy consumption with example?

Answers

Energy consumption is the amount of power used over time, measured in watt-hours (Wh) or kilowatt-hours (kWh). It is calculated by multiplying the power (measured in watts) by the time for which it is used.

To calculate energy consumption, you will need to know the amount of power being used and the time over which it is being used. Power is typically measured in watts (W), and energy is the product of power and time, so energy consumption is the number of watts used multiplied by the number of hours for which they are used.

For example, let's say you want to calculate the energy consumption of a light bulb that uses 60 W of power and is left on for 4 hours. The energy consumption would be:

Energy consumption = 60 W * 4 hours = 240 Wh (watt-hours)

This is the amount of energy that the light bulb used over the 4-hour period.

You can also convert watt-hours to other units of energy, such as kilowatt-hours (kWh). To do this, you would divide the watt-hours by 1,000. In the example above, the energy consumption would be 0.240 kWh.

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asapppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!

asapppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: x = 148 degrees

Step-by-step explanation:

This problem makes use of Supplementary Angles.  Supplementary Angles states that two angles that make up a line add to 180.  Thus, simply use the equation 32 + x = 180

x = 148

Hope it helps <3

A fish tank is a rectangular prism that is 30 inches long, 24 inches deep, and 18 inches high. How much water will it hold in cubic inches

Answers

The fish tank will hold 12,960 cubic inches of water.

What is volume ?

Volume is a physical quantity that refers to the amount of space occupied by an object or a substance. In mathematical terms, volume can be defined as the measure of the three-dimensional space enclosed by a closed surface or shape. It is usually expressed in cubic units such as cubic meters, cubic feet, or cubic centimeters, depending on the system of measurement being used.

The volume of a rectangular prism can be calculated by multiplying its length, width, and height. Therefore, the volume of the fish tank is:

30 inches (length) x 24 inches (depth) x 18 inches (height) = 12,960 cubic inches

Therefore, the fish tank will hold 12,960 cubic inches of water.

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A shipping container is in the shape of a right rectangular prism with a length of 9 feet, a width of 12 feet, and a height of 14.5 feet. The container is completely filled with contents that weigh, on average, 0.83 pounds per cubic foot. What is the weight of the contents in the container, to the nearest pound

A shipping container is in the shape of a right rectangular prism with a length of 9 feet, a width of

Answers

Answer:

1,300 lb.

Step-by-step explanation:

V = 9 × 12 × 14.5 = 1566 ft³

1,566 × 0.83 = 1,299.78 ≈ 1,300 lb.

How many four-letter permutations can be formed from the first five letters of the alphabet?

Answers

Answer:

120

Step-by-step explanation:

formula:

\(\frac{n!}{(n-h)!}=\frac{5!}{(5-4)!}=120\)

How many ways can a lamp be order if it comes in 12 colors and has a choice of 8 shades

Answers

12 x 8 so it is 96 :))

Answer:

96

Step-by-step explanation:

This is the answer because:

1) 1 shade has 12 different colors

2) Therefore, we multiply 12 and 8 together

3) 12 x 8 = 96

Hope this helps!

Stacy goes to the county fair with her friends. The total cost of ride tickets is given by the equation c = 3.5t, where c is the total cost of tickets and t is the number of tickets. If Stacy bought 15 tickets, she would spend $

Answers

Answer:

52.5

Step-by-step explanation:

because you do 15 x 3.5

this gets 52.5

Answer:

52.5

Step-by-step explanation:

because you do 15 x 3.5

this gets 52.5

Step-by-step explanation:

Help!! will give brainiest! please no joke answers this is due by midnight

Help!! will give brainiest! please no joke answers this is due by midnight

Answers

1. (1,3)
2.6,9,15 (top row)
1,2,4 (bottom row)
3. (1,3), (2,6), (3,9), (4,12),(5,15)
4. Edeena walks 6 miles in 2 hours.
hope this helps
1 -
(1,3)

2 -
Top of chart - 3,6,9,12,15
Bottom of chart - 1,2,3,4,5

3 -
(1,3) (2,6) (3,9) (4,12) (5,15)

4 -
(The picture)

5 - Sadly not sure about this one
Help!! will give brainiest! please no joke answers this is due by midnight

i need help on this ​

i need help on this

Answers

Answer:

x = 3

Step-by-step explanation:

For this problem, it's important to understand what an angle bisector is.  An angle bisector is simply a line that splits an angle into two equal portions.  In this problem, <ATS is bisected by TR which gives us <ATR = <RTS = 1/2 <ATS.

Let's use this information to solve our equation to find x.

m<RTS = 1/2 m<ATS

17x - 5 = (1/2) (28x + 8)

17x - 5 = (1/2)(28x) + (1/2)(8)

17x - 5 = 14x + 4

17x - 14x - 5 = 14x - 14x + 4

3x - 5 = 4

3x - 5 + 5 = 4 + 5

3x = 9

3x * 1/3 = 9 * 1/3

x = 3

Hence, we have found the value of x to be 3.

Cheers.

Similarly, converting between units can be very important, and it can be done by canceling units. For example, suppose that I want to convert 66 feet/second into miles per hour. If I know that there are 5280 feet in a mile, 60 seconds in a minute, and 60 minutes in an hour, then I can convert the quantity by multiplying it by those conversion factors in such a way that they cancel: ( 1 s
66ft )( 1 min60 s )( 1hr 60 min )( 5280ft1 mile )=45mile/hr I can do this because each conversion factor is equal to one, and multiplying by one does not change anything. Notice that if you cancel all the units that you can, you are left with the desired units. The numbers are evaluated with normal arithmetic. Cglints = 1 filn 4 ZCOS=1 strord Now you try, except I'm going to make up some fictional units for you to work with: There are 12 grees in a zool. There are 2 grees in 10 twibbs. There are 5 grees in a blob. There are 6 glints in a filn. There are 4 zools in a strord. 12 grees =1 ZOO 2 grees =10 twibs 5 grees =1 bic (a) Convert the quantity 7 glint/twibb (i.e., 7 glints-per-twibb) into filn/strord (i.e., filns-per-strord). As always, show your work. (b) Often we use prefixes for scientific units. For example, there are one-hundred centimeters in a meter. Similarly, the prefix kilo- means a factor of 10
3. For example, a kilometer is 10 3 meters or 1000 meters. If you need to review these prefixes, there is a handy chart on Wikipedia: ht tpa://en.wikipedia.org/wiki/Metric_prefix. Convert your answer from part (a) into megafiln/strord (i.e., megafilns-per-strord). (Hint: Check your answer for plausibility. Should the number of megafilns-per-strord be bigger or smaller than the number of filns-per-strord? If someone is going 1 foot-per-hour, are they going a larger number of feet-per-hour or a larger number of miles-per-hour?)

Answers

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.

(a) The given units can be converted as follows: 6 glints = 1 filn...

(1)12 grees = 1 zool...

(2)2 grees = 10 twibbs...

(3)5 grees = 1 bic...

(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:

7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord

(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.

1 mega = 106

Thus 1 megafiln = 106 filn

16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.

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Choose the graph of y=2|x|+5

Choose the graph of y=2|x|+5
Choose the graph of y=2|x|+5
Choose the graph of y=2|x|+5

Answers

Answer:

2nd one

Step-by-step explanation:

You can see that at the end, it is +5. That means it is to the left, NOT the right. So the second one is correct.

Is the graph a piecewise function? Why or why not?

Is the graph a piecewise function? Why or why not?

Answers

Yes, the graph shown is given as a piecewise function.

Given that,
A graph has shown we have to determine whether the graph is a piece-wise function or not,

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
From clear observation, it could be said the graph has a discontinuity,
And two different function has been shown for two different domain and range, this implies that the function given is a piecewise function.

Thus, Yes, the graph shown is given as a piecewise function.

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Which is the graph of 2x + 3y > -3
Graph: C

Which is the graph of 2x + 3y &gt; -3Graph: C

Answers

graph c is correct becausw
Graph c because is the best answer

find and solve a recurrence relation for the number of ways to arrange flags on an n-foot flagpole using three types of flags: red flags 2 feet high, yellow flags 1 foot high, and blue flags 1 foot high. page 4 of 8

Answers

Let Fn be the number of ways of arranging such flagpole with the given conditions.

When arranging a flagpole of n feet high, consider the following cases

If the last flag used is a red flag, then the other flags are n-1 foot high, so they can be seen as arranged on a smaller flagpole of n-1 feet high, which can be done in Fn-1 ways.

Similarly, If the last flag used is a gold flag, then the other flags can be seen as arranged on a smaller flagpole of n-1 feet high. This can be done in Fn-1 ways.

If the last flag used is green, the other flags are n-2 feet high, so the flagpole can be arranged in Fn-2 ways.

Using the sum rule, we obtain that Fn = 2Fn-1 + Fn-2 for all n≥3. Listing all the combinations of flags, the initial conditions are F1 = 2 and F2 = 3.

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Hailey is the oldest of four siblings whose ages are consecutive integers. If the sum of their ages is 66, find Hailey's age.

Answers

Considering the definition of an equation and the way to solve it, Hailey's age is 18 years.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.

To solve an equation, keep in mind:

When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

Hailey's age

Being "x" the age of the youngest child, then you have:

"x" the age of the youngest child."x + 1" the age of one middle child."x + 2" the age of the other middle child."x + 3" the age of the oldest child, in this case Hailey's age.

On the other hand, you know that the sum of their ages is 66. Then, the equation is:

x + x + 1 + x + 2 + x + 3 = 66

Solving:

4x + 6 = 66

4x = 66 - 6

4x = 60

x= 60 ÷ 4

x= 15

Remembering that "x + 3" is Hailey's age, then her age is calculated as: x+3= 15 +3= 18

Finally, Hailey's age is 18 years.

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What does x equal to?

What does x equal to?

Answers

Answer:

Step-by-step explanation:

La X: En matemáticas la x hace referencia a una incógnita o variable. Variable quiere decir que puede tomar un valor específico dentro de conjunto. Por ejemplo, si tenemos "X+1=3" con X que pertenece al conjunto de los números enteros, la X toma el valor exacto de 2 del conjunto de los enteros.

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