PLS HELP I HAVE TO DO THIS BY TONIGHTT

Alicia planted 45 tulip bulbs last year. This year she plans to plant 27 bulbs. Find the percent decrease in thenumber of tulip bulbs.

Answers

Answer 1

I got you !

Step-by-step explanation:

45 bulbs planted in first year.

65 bulbs the next year.

increase = 20 bulbs

Number of increase of planted tulip bulb is N = 65 - 45 = 20

( 20/45)  x 100% = 44.4 % to the nearest tenths


Related Questions

GIVING BRAINLY TO YOU IF YOU ANSWER QUICK Which of the following body parts has striped muscles?

Bladder
Heart
Intestine
Stomach

Answers

Answer:

heart

Step-by-step explanation:

Answer:

It would be the heart <3

Step-by-step explanation:

 

Are the ratios 4:6 and 1:2 equivalent?

Answers

Answer:

no

Step-by-step explanation:

4:6 simplified is 2:3 so no they are not equivalent

Answer:

No

Step-by-step explanation:

Are the ratios 4:6 and 1:2 equivalent?

a uniform continuous distribution has a maximum of 14 and a minimum of 2. samples of size 36 are drawn from the distribution. what is the variance of the sample means?

Answers

The variance of the sample means that is found in the sample distribution that we have here is 0.3333

What is variance?

This is the measure of dispersion that is used to show the spread of the data that is contained in a data set

The formula that we are to use here is given as

b² - a² / b - a

we have to put the values in this question

(14 - 2)² / 14 - 2

= 144 / 12

= 12

From here we would have to solve for the variance.

The variance = 12 / 35

= 0.3333

Hence the variance that we have in the question is equal to 0.3333

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3. The system of equations for two liquid surge tanks in series is
A₁ dh'₁/dt = q'ᵢ - 1/R₁ h'₁, q'₁ = 1/R₁ h'₁
A₂ dh'₂/dt = 1/R₁ h'₁ - 1/R₂ h'₂ q'₂ = 1/R₂ h'₂
Using state-space notation, determine the matrices A,B,C, and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ , and the output variable is the flow rate deviation, q'₂.

Answers

The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.

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Please help I will give brainliest

Please help I will give brainliest

Answers

Answer:

1. ∠YZX = 37°

2. ∠YXZ = 53°

3. XZ = 30 meters

Step-by-step explanation:

1. To solve for an unknown angle, we need to utilize the inverse of a trigonometric function.

⭐What are the inverses of the trigonometric functions?

\(sin^-1 (opposite/hypotenuse)\)\(cos^-1 (adjacent/hypotenuse)\)\(tan^-1(opposite/adjacent)\)

To know which inverse of the trigonometric functions we use, we have to see the type of side lengths we are given (opposite, adjacent, or hypotenuse)

We are given side length XY, which is opposite of ∠YZX, and we are given side length YZ, which is adjacent to ∠YZX. Therefore, we will use \(tan^-1 (opposite/adjacent) =\)

Substitute the values we are given into the function:

\(tan^-1 (18/24) =\)

Compute this equation using a scientific calculator. I recommend using the Desmos Scientific Calculator:

\(= 37\)

∠YZX = 37°

2. We already know 2 angles (∠YZX = 37°, and ∠ZYX = 90°) Therefore, to find ∠YXZ, we have to utilize the triangle sum theorem.

⭐ What is the triangle sum theorem?

\(angle_1 + angle_2 +angle_3 = 180\)The sum of all angles in a triangle is 180°

Substitute the angles we know already (∠YZX and ∠ZYX), and solve for ∠YXZ.

\(< YZX + < ZYX + < YXZ = 180\)

\(37 + 90 + YXZ = 180\)

\(127 + YXZ = 180\)

\(< YXZ = 53\)

∠YXZ = 53°

3. We already know 2 side lengths (ZY = 24 meters, and XY = 18). Therefore, to find XZ, we have to utilize the Pythagoras' theorem.

⭐ What is the Pythagoras' theorem?

\((C)^2 = (A)^2 + (B)^2\)C is the hypotenuse of the triangle, A is a leg of the triangle, and B is another leg of the trianglePythagoras' theorem can only be used on right triangles

Substitute the values of the side lengths into the formula:

\((XZ)^2 = (XY)^2 + (ZY)^2\)

\((XZ)^2 = 18^2 + 24^2\)

Solve for XZ:

\((XZ)^2 = 324 + 576\)

\((XZ)^2 = 900\)

\(\sqrt{(XZ)^2} = \sqrt{900}\)

\(XZ = 30\)

∴ XZ = 30 meters

Which side is opposite 0

Which side is opposite 0

Answers

The value of opposite side of angle θ would be,

⇒ EF

Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that,

A right triangle EFD is shown in figure.

And, At angle E, right angle is shown.

We know that;

The Opposite side of a angle is called perpendicular side.

Hence, The value of opposite side of angle θ would be,

⇒ EF

Thus, Option A is true.

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Find the dominan and range then the vertical and horizontal asymptotes

Find the dominan and range then the vertical and horizontal asymptotes

Answers

The domain is  {x| x ∈ R, x≠ ±1} and the range is {y| y ∈ R}.

The vertical asymptotes are at x = 1 and x = -1

The horizontal asymptote is at y = 3.

How to find the domain and the range?

To find the domain we need to look at the horizontal axis, here we can see that the function extends to the left and to the right, then we will have the set of all real numbers, except for the two values of x where we have asymptotes, these are x = -1 and x = 1

Then the domain is:

D = {x| x ∈ R, x≠ ±1}

And the range is the set of all real numbers:

R = {y| y ∈ R}

And the vertical asymptotes as we already said are at x = ± 1, while the horizontal ones are at y = 3.

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need help on a systems of equations word problem

need help on a systems of equations word problem

Answers

Answer:

brazil: 12.8 portugal: 14.769230769230769 (you need to round it)  

Step-by-step explanation:

just divide.

Alexandria is practicing her long distance running. On day 0, she can run 2 miles without stopping. She wants to add 1/4 mile to her run each day. What is the slope for this linear relationship?

Answers

Answer:

1/4

Step-by-step explanation:

The slope of a graph is always the rate of change for every value of x, in this case, days. Since she is adding 1/4 of a mile to her run each day, this means that the slope of this linear relationship is 1/4.

She increases a full mile in 4 days, just a little note.

Solve this equation. Does the equation have one solution, no solution, or infinitely many solutions? Use the drop-down menus to explain your answer. 8(3x – 6) = 6(4x + 8) Solving the equation results in the statement _Because this is a _ statement, the equation has _

Answers

Answer:

There are no solutions.

Step-by-step explanation:

8 ( 3x - 6 ) = 6 ( 4x + 8 )

→ Expand the brackets

24x - 48 = 24x + 48

→ Subtract 24x from both sides

There is no x's left therefore there are no solutions.

Answer:

The equation has no solution.

Step-by-step explanation:

Let's actually try solving this equation:  8(3x – 6) = 6(4x + 8)

Begin by performing the indicated multiplication.  We get:

24x - 48 = 24x + 48

Subtracting 24x from both sides, we get -48 = 48, which is never true.

The equation has no solution.

ABCD is a parallelogram. Find the measure of AD

Answers

The calculated measure of AD if ABCD is a parallelogram is 23 units

Finding the measure of AD

Given that

ABCD is a parallelogram

The opposite sides of a parallelogram are the equal

This means that

AD = BC

So, we have

3y - 1 = y + 15

Evaluate the like terms

So, we have

2y = 16

This gives

y = 8

So, we have

AD = 3(8) - 1

Evaluate

AD = 23

Hence, the length is 23 units


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Let u:R+2​→R be a strictly increasing C2 utility function. (a) Derive an expression for the slope of an indifference curve at an arbitrary consumption bundle (x0​,y0​)∈R++2​. (b) Take a derivative of the expression in part (a) in order to compute the second-order derivative of the indifference curve. Demonstrate this second-order derivative is positive (i.e. the law of diminishing marginal rate of substitution holds) if u is quasiconcave on R+2​

Answers

(a) The slope of an indifference curve at an arbitrary consumption bundle (x0, y0) is given by the negative ratio of the marginal utilities of x and y, i.e., -MUx/MUy.

(b) Taking the derivative of the expression in part (a) gives the second-order derivative of the indifference curve. If the utility function u is quasiconcave on R+2, this second-order derivative will be positive, demonstrating the law of diminishing marginal rate of substitution.

How can we express the slope of an indifference curve and its second-order derivative?

In economics, an indifference curve represents the combinations of two goods (x and y) that provide the same level of utility or satisfaction to an individual.

The slope of an indifference curve measures the rate at which the individual is willing to substitute one good for another while remaining indifferent.

To derive an expression for the slope of an indifference curve at a given consumption bundle (x0, y0), we consider the marginal utilities of x (MUx) and y (MUy).

The slope is determined by the negative ratio of MUx to MUy, which indicates the relative change in x compared to y that maintains the same level of utility.

Taking the derivative of this expression provides the second-order derivative of the indifference curve. If the utility function u is quasiconcave on R+2, which means that indifference curves are convex, the second-order derivative will be positive.

This confirms the law of diminishing marginal rate of substitution, stating that as an individual consumes more of one good, they are willing to give up less of the other good to maintain the same level of satisfaction.

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Please help me with this

Please help me with this

Answers

Answer:

11z + 11

Step-by-step explanation:

these prisms are similar. find the volume of the larger prism in decimal form. a=5 v=300 a=6 v=[?]

these prisms are similar. find the volume of the larger prism in decimal form. a=5 v=300 a=6 v=[?]

Answers

Answer:

Step-by-step explanation:

When we divide congruent sides of similar solids or plane figures we get the linear scale factor.

The square of the linear scale factor gives the area scale factor while it's cube gives the volume scale factor.

In this question, the linear scale factor will be 6/5

since we are asked to find the volume we cube the linear scale factor.

 (6/5)³=216/125

to get the volume of the larger prism we multiply the volume of the smaller by the V.S.L as shown

(216/125)×300in³= 518.4in³

Answer:

the answer is 518.4

Step-by-step explanation:

if was correct on acellus

Write the first expression in terms of the second if the terminal point determined by t is in the given quadrant. cos(t), sin(t); quadrant iv

Answers

if the terminal point indicated by t is in the provided quadrant, the first equation in terms of the second quadrant iv; cos(t), sin(t). \(\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}\)

What is Trig Identities?

Trig identities come in handy when we need to express one trig function in terms of another. The most famous trig identity is derived straight from the Pythagorean Theorem:

sin² t +  cos² t = 1

According to the given data:

For an angle t in Quadrant IV, we know sin t is positive.

From the trig identity sin² t +  cos² t = 1

we can also write as:

sin t + cos t:

Now,

sin² t + cos² t = 1

sin² t   = 1 -  cos² t

sin t = ±√( 1 -  cos² t)

As noted above,

sin t is positive for t in the Quadrant IV, and so we have

sin t = √( 1 -  cos² t)

We know that

\(\cos t=\frac{1}{\sec t}\)

So, the equation will be

\(\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}\)

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50 p : rupee 2Simplify the following ratios

Answers

Since 1 rupee = 50 paise, then

2 rupee = 2 x 50 = 100 paise

Now, we can find the ratio between 50 p: 100 p

\(50\colon100\)

Divide both terms by 10

\(\frac{50}{10}\colon\frac{100}{10}=5\colon10\)

Divide both terms by 5

\(\frac{5}{5}\colon\frac{10}{5}=1\colon2\)

The ratio between 50 p: 2 rupee = 1: 2

★PLSSSSS HELPPPPPPPPP★

PLSSSSS HELPPPPPPPPP

Answers

Answer:

The third option

Step-by-step explanation:

This is because you plug in 1 as a test into each of the equations and see if it equals to 12.25. It works for the third option. To verify that you can also plug in different x values and see if they match the y value.

C - hopes this helps

How many customers spent less than $20? I couldn't include a pic of a histogram.

Answers

Note that according to the histogram, the number of customer s that spent less than $20 are 14 in number.

What is the explanation for the above response?


To derive the above amount, you simple add the frequency of the bars which rank from 0-9 and 10-19, since the other bars are $20 and above.

Thus, we have:

8 + 6 = 14 Customers.

Thus, it is correct to state that  that according to the histogram, the number of customer s that spent less than $20 are 14 in number.

Recall that a  histogram is a graphical representation of the distribution of a dataset. It displays the frequency of occurrence of data values in different intervals or bins along the x-axis, with the height of each bar representing the frequency.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

The histogram shows the amount, to the nearest dollar, that customers spent at a museum gift shop. How many customers spent less than $20?
See the attached image.

How many customers spent less than $20? I couldn't include a pic of a histogram.

A project has five activities with the durations (days) listed
below:
Activity
Precedes
Expected
Duration
Variance
Start
A, B
-
-
A
C
40
0.31
B
E
32
0.25
C
D
21
0.35

Answers

The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

To determine the critical path of the project, we need to find the longest path of activities that must be completed in order to finish the project on time. This is done by calculating the earliest start time (ES) and earliest finish time (EF) for each activity.

Starting with activity A, ES = 0 and EF = 4. Activity B can start immediately after A is complete, so ES = 4 and EF = 7. Activity C can start after A is complete, so ES = 4 and EF = 6. Activity D can start after B is complete, so ES = 7 and EF = 9. Finally, activity E can start after C and D are complete, so ES = 9 and EF = 11.

The variance for each activity is also given, which allows us to calculate the standard deviation and determine the probability of completing the project on time. The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

Using the expected durations and variances, we can calculate the standard deviation of the critical path. This information can be used to determine the probability of completing the project on time.

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what is the value of x in the equation 11+7x=-17

Answers

\(\\ \rm\Rrightarrow 11+7x=-17\)

\(\\ \rm\Rrightarrow 7x=-7-11\)

\(\\ \rm\Rrightarrow 7x=-28\)

\(\\ \rm\Rrightarrow x=\dfrac{-28}{7}\)

\(\\ \rm\Rrightarrow x=-4\)

Answer: x = -4

Step-by-step explanation:

Given equation

11 + 7x = -17

Subtract 11 on both sides

11 + 7x - 11 = -17 - 11

7x = -28

Divide 7 on both sides

7x / 7 = -28 / 7

\(\boxed{x=-4}\)

Hope this helps!! :)

Please let me know if you have any questions

PLEASE HELP!!!
The line plots show the number of kilometers that Jen and Denisha biked each week for 10 weeks.

Based on the data, who is more likely to ride a greater distance in the eleventh week? Move a word to each blank to complete the sentence. ____ is more likely to ride a greater distance because the ____ of her data is greater ^image

Jen
Mean
Mode
Denisha
Range

PLEASE HELP!!!The line plots show the number of kilometers that Jen and Denisha biked each week for 10

Answers

Answer: first blank: jen

second blank: mean

Step-by-step explanation:

N/A

Let f(x) = tan x, Show that f(0) = f(π) but there is no number c in (0, π) such that f’(c) = 0. Why does this not contradict Rolle’s Theorem?

Answers

This situation does not contradict Rolle's Theorem because Rolle's Theorem requires the function to be continuous on a closed interval and differentiable on an open interval, which is not satisfied by f(x) = tan x in the interval (0, π).

To show that f(0) = f(π), we evaluate the tangent function at these points. At x = 0, tan(0) = 0, and at x = π, tan(π) = 0. Therefore, f(0) = f(π).

To investigate whether there exists a number c in the interval (0, π) such that f'(c) = 0, we need to find the derivative of f(x). The derivative of tan x is given by f'(x) = sec² x. However, the secant squared function is never equal to zero. Therefore, there is no c in the interval (0, π) where f'(c) = 0.

This situation does not contradict Rolle's Theorem because Rolle's Theorem requires certain conditions to be met. First, the function must be continuous on the closed interval [a, b], which is not satisfied by f(x) = tan x since it is not defined at x = π/2. Second, the function must be differentiable on the open interval (a, b), but f'(x) = sec^2 x is not defined at x = π/2. Thus, the requirements of Rolle's Theorem are not fulfilled, and its conclusion does not apply to f(x) = tan x in the interval (0, π).

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PLEASE HELP

I put a photo​

PLEASE HELP I put a photo

Answers

The slope is three over one and the y intercept is nine

Question: Z is a standard normal random variable. The P(1.05 < Z < 2.13) equals 0.8365 0.1303 0.4834 0.3531. Given that Z is a standard normal random variable, what is the probability that -2.51 ≤ Z ≤ -1.53? Given that Z is a standard normal random variable, what is the probability that Z ≥ -2.12?

Answers

The probability for -2.51 ≤ Z ≤ -1.53 is 0.0570.

The probability for Z ≥ -2.12 is 0.9830.

To find the probability for the given scenarios, we can use the Z-table or standard normal distribution table, which provides the cumulative probabilities for a standard normal random variable Z.

1) For -2.51 ≤ Z ≤ -1.53:

Find the cumulative probability for Z = -1.53 and Z = -2.51 using the Z-table. Then subtract the cumulative probability of Z = -2.51 from the cumulative probability of Z = -1.53.

P(-1.53) = 0.0630
P(-2.51) = 0.0060

P(-2.51 ≤ Z ≤ -1.53) = P(-1.53) - P(-2.51) = 0.0630 - 0.0060 = 0.0570

2) For Z ≥ -2.12:

Find the cumulative probability for Z = -2.12 using the Z-table. Since we want the probability that Z is greater than or equal to -2.12, we need to subtract the cumulative probability from 1.

P(-2.12) = 0.0170

P(Z ≥ -2.12) = 1 - P(-2.12) = 1 - 0.0170 = 0.9830

So, the probability for -2.51 ≤ Z ≤ -1.53 is 0.0570, and the probability for Z ≥ -2.12 is 0.9830.

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Which distribution most frequently describes the arrival rate in queuing​ theory?A. Negative exponentialB. BetaC. NormalD. Poisson

Answers

D. Poisson distribution most frequently describes the arrival rate in queuing​ theory.

What is queuing​ theory?

The study of how people, things, or information move in a line is known as queuing theory. It is possible to develop services and systems that are more effective and economical by researching congestion and its causes.

Waiting lines in healthcare settings may be analysed using the queueing theory. Queuing analysis can be utilised for short-term solutions or for facility and resource planning because the majority of healthcare systems have extra capacity to tolerate random changes.

Because it offers the tools for queue optimization and helps to define queue characteristics like the average wait time, queueing theory is crucial. Queuing theory provides guidance for the design of successful and affordable workflow systems from a commercial perspective.

Correct option: D

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if you had 12.3 grams of carbohydrates, how many calories would that contribute per serving? do not round; give the absolute value.

Answers

49.2 calories are in  would that contribute per serving .

What does a calorie mean ?

Energy is measured in calories. When you hear something has 100 calories, it means that it has the potential to provide your body with that many calories of energy. Calories are the units of energy used by your body during food digestion and absorption. A food's ability to give your body energy depends on how many calories it contains.

Carbohydrates provide 4 calories per gram.

              1 gm Carbohydrates = 4 calories

 then 12.3 gm Carbohydrates  = 12.3 * 4

                                             = 49.2 calories

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2.71 as a percentage

Answers

2.71 as a percentage = 2.71 * 100 = 271%

solve the question.

solve the question.

Answers

Answer: 1

\((\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2} } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2} } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2} } }{x^{bc-ab} } \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2} } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1\)

Step-by-step explanation:

Wow the person who answered above me is smart

Maisie knows that she needs 3 kg of grass seed to make a rectangular lawn 5 m by 9m.
Grass seed is sold in 2 kg boxes
Maisie wants to make a rectangular lawn 10 m by 14m.
She has 5 boxes of grass seed.
(a) Has Maisie got enough grass seed to make a lawn 10 m by 14m!
You must show all
your working
(4)​

Answers

Total Seeds required 9.33 kg  and she has 10 kg.so, she has enough grass seed to make a lawn 10m by 14 m.

If you're fortunate enough to have a rectangular lawn, determining the size is straightforward. Multiply the length and breadth measurements together to get the total. You now have your region/area.

So, Maisie knows that she needs 3 kg of grass seed to make a rectangular lawn 5 m by 9m.

Grass seed is sold in 2 kg boxes,

Maisie wants to make a rectangular lawn 10 m by 14 m,

She has 5 boxes of grass seed

To Find, Has Maisie got enough grass seed to make a lawn 10m by 14 m

Solution:

3 kg of grass seed to make a rectangular lawn 5 m by 9m.

=> 3 kg  of grass seed  needed for 5 x 9 = 45 m²

=>  1 m² required  = 3/45  kg seed

a rectangular lawn 10 m by 14 m,

area = 10 x 14 = 140 m²

Hence 140 m² required = 140 x  3/45  =  9.33 kg

Grass seed is sold in 2 kg boxes,

She has 5 boxes of grass seed

Hence total seeds = 5 x 2 = 10 kg

Therefore, total seeds required 9.33 kg  and she has 10 kg.so, she has enough grass seed to make a lawn 10m by 14 m.

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HELP!!!!!FAST!!!NOW!!!!HURRY!!!!PLS!!!!

The length of the shorter leg of a 30-60-90 Special Right Triangle is 17 yd long. How long is the longer leg of the triangle?
1) 17yd
2) 17√2yd
3) 17√3yd
4) 34yd

Answers

Answer:

\(17\sqrt{3}\)

Quiz Results:

HELP!!!!!FAST!!!NOW!!!!HURRY!!!!PLS!!!!The length of the shorter leg of a 30-60-90 Special Right Triangle
HELP!!!!!FAST!!!NOW!!!!HURRY!!!!PLS!!!!The length of the shorter leg of a 30-60-90 Special Right Triangle

The length of the longer leg in the considered 30-60-90 Special Right Triangle is given by: Option 3) 17√3yd

What is a 30-60-90 Special Right Triangle?

The right angled triangle in which, the angles are of the measure 30, 60 and 90 degrees is called 30-60-90 Special Right Triangle.

What is law of sines?

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

\(\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}\)

Remember that we took

\(\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}\)

The wider the angle is, the larger the side opposite to is.

For this right angled triangle, the side opposite to 60 degrees angle is larger leg (let it be of x yd), and the side opposite to 30 degrees angle is shorter leg (of 17 yd).

As shown in the image below, using the sine law for non right angles,  we get:

\(\dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b}\\\\\dfrac{\sin(30^\circ)}{17} = \dfrac{\sin(60^\circ)}{x}\\\\x =\dfrac{17 \times \sin(60^\circ)}{\sin(30^\circ)} = 17\sqrt{3} \: \rm yd\)

Thus, the length of the longer leg in the considered 30-60-90 Special Right Triangle is given by: Option 3) 17√3yd

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HELP!!!!!FAST!!!NOW!!!!HURRY!!!!PLS!!!!The length of the shorter leg of a 30-60-90 Special Right Triangle
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