Plz. Can anyone explain and tell the answer of this question.I promise I will mark it as brainliest Question.

Plz. Can Anyone Explain And Tell The Answer Of This Question.I Promise I Will Mark It As Brainliest Question.

Answers

Answer 1

Answer:

x = 15

y = 90

Step-by-step explanation:

Step 1: Find x

We use Definition of Supplementary Angles

9x + 3x = 180

12x = 180

x = 15

Step 2: Find y

All angles in a triangle add up to 180°

3(15) + 3(15) + y = 180

45 + 45 + y = 180

90 + y = 180

y = 90°


Related Questions

What is the interquartile range of this data set? 2,5,9,11,18,30,42,55,58,73,81

Answers

Answer:

I think it's 49 I'm sry if I'm wrong hope you luck

Step-by-step explanation:

Answer: 49

Step-by-step explanation: Apex said so

Describe fully the single transformation that’s maps triangle A onto triangle B.

Answers

Answer:

reflection of the axis y=4

Step-by-step explanation:

becuase it is reflected on itself

Answer:

Reflect Triangle A by the line y = 4

Step-by-step explanation:

The answer is reflect Triangle A by y = 4 because the two triangles are symmetric.

3. Maria is a veterinarian. She wants to know how the weight of a puppy is related to its length. To find out, Maria randomly selected 10 puppies that are two months old. She recorded the length and weight of each puppy in the table below. Part A. The data from the table are shown on the scatterplot. Draw an estimated line of best fit through the data points. (3 points) Part B. Use the scatterplot to answer these questions. a. What kind of correlation exists between the length and weight of the puppies? Explain. (2 points) b. Identify two points on the line of best fit that you drew in Part A. Use the two points to find the equation of the line. Write the equation of the best fit line in slope-intercept form. Show your work. (4 points: 1 point for identifying the coordinates of two points, 1 point for slope, 1 point for b-value, and 1 point for showing work)

Answers

Answer:

Part A. I chose points (7,1.3) and (48,9.8)

Part B. a. Positive correlation; b.  y = 0.21x - 0.2

Step-by-step explanation:

Part A.

I chose the first and last points on the line — (7 in, 1.3 lb) and (48 in, 9.8 lb).

That put three points on the line, three above it, and four below.

Part B

a. Type of correlation

There is a positive correlation between the length of a puppy and its weight.

You would expect a longer dog to be bigger and weigh more than a shorter dog.

b.  The equation for the line of best fit

The slope-intercept equation for a straight line is

y = mx + b

where m is the slope of the line and b is the y-intercept.

The line passes through the points (7,1.3) and (48, 9.8).

(i) Calculate the slope of the line

\begin{array}{rcl}

[tex]m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\ & = & \dfrac{9.8 - 1.3}{48-9}\\\\& = & \dfrac{8.5}{41}\\\\& = & \textbf{0.21 lb/in}\\\\\end{array}[/tex]

The slope of the line is 0.21 lb/in.

(ii) Locate the y-intercept

Put the slope and the coordinates of one point into the slope-intercept formula.

[tex]\begin{array}{rcl}y & = & mx + b\\1.3 & = & 0.21\times7 + b\\1.3 & = & 1.47 + b\\b & = & -0.2\\\end{array}[/tex]

The y-intercept is at (0,-0.2)

(iii) Write the equation for the line

y = 0.21x - 0.2

Danni placed $5700 in a savings account which compounds interest continuously at a rate of 2.1%. How much will she have in the account after 4 years? Round your answer to the nearest dollar. Do NOT round until you have calculated the final answer.

Answers

Answer:

6199 is the actual answer

Step-by-step explanation:

The amount Danni will have in the account after 4 years is $6,194.09.

Given that, principal=$5700, rate of interest=2.1% and time period=4 years.

We need to find how much Danni will have in the account after 4 years.

How to find the compound interest?

The formula for compound interest is [tex]A = P(1 + \frac{r}{100} )^{nt}[/tex], where P is the principal balance, r is the interest rate, n is the number of times interest is compounded per time period and t is the number of time periods.

Now, Amount [tex]=5700(1+\frac{2.1}{100} )^4[/tex]

[tex]=5700(1+0.021)^4[/tex]

[tex]=5700(1.021)^4[/tex]

=$6,194.09

Therefore, the amount Danni will have in the account after 4 years is $6,194.09.

To learn more about compound interest visit:

https://brainly.com/question/14295570.

#SPJ2

The electric field in the​ xy-plane due to an infinite line of charge along the​ z-axis is a gradient field with a potential function

​V(x,y)equals=c ln (ro/√ x²+y²)

where c > 0 is a constant and r0 is a reference distance at which the potential is assumed to be 0.

Required:
Find the components of the electric field in the​ x- and​ y-directions, where E​(x,y) =∇V (x,y )

Answers

Answer:

c(x,y)/(x²+y²)

Step-by-step explanation:

Since E​(x,y) = -∇V (x,y ) and V(x,y) =c ln (ro/√ x²+y²)

Let ro/√(x²+y²) = u and √(x²+y²) = v

dV/du = c/u = c√(x²+y²)/ro,

du/dv =  -ro/(x²+y²) = -ro/² and dv/dx = x/√(x²+y²)

Using the chain rule,

So dV/dx = dV/du × du/dv × dv/dx

= c√(x²+y²)/ro × -ro/(x²+y²) × x/√(x²+y²)

dV/dx = -cx/(x²+y²)

- dV/dx = -(-cx/(x²+y²)) = cx/(x²+y²)

Also, dv/dy = y/√(x²+y²)

Using the chain rule

dV/dy = dV/du × du/dv × dv/dy

= c√(x²+y²)/ro × -ro/(x²+y²) × y/√(x²+y²)

dV/dy = -cy/(x²+y²)

- dV/dy = -(-cy/(x²+y²)) = cy/(x²+y²)

E(x,y) = -∇V (x,y )

= -(dV/dx)i + [-(dV/dy)]j

= [cx/(x²+y²)]i +[ cy/(x²+y²)]j

= c(x,y)/(x²+y²)

Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 7 mo
than 3 times the number of marbles Mark has, how many does each boy have to sell if the total numbe
of marbles is 103?
Mark has Number
marbles to sell.
Don has Number
marbles to sell.​

Answers

Answer:

Mark has 24

Don has 79

Step-by-step explanation:

Let x = marbles mark has

don has 3x+7

Together they have 103

mark + don = 103

x+ (3x+7) = 103

Combine like terms

4x+7 = 103

Subtract 7

4x = 96

Divide by 4

x = 96/4

x =24

Mark has 24

Don has 103 -24

Done has 79

A music store sells CD’s and DVD’s. The price of a CD is $8 and the price of a DVD is $12. On Saturday, a total of 20 CD’s and DVD’s were sold bringing in revenue of $200. How many of each type were sold that day

Answers

Answer:

10 of CD and 10 of DVD

Step-by-step explanation:

We have to think about the fact that 200 ends in two zeros in order to get it as the sum of the CD's and DVD's. In order to get 200, we most likely have to have numbers that also end in zero.  So if easily we can try 12*10 + 8*10, becasue they will end is zeros that way... AND WHAT DO WE KNOW, WE HAVE GOT OUR ANSWER, thi is because 12*10 + 8*10 really does equal 200.

If f(x) = x² + x - 4, evaluate f(2i).

Can anyone show a step by step process to get the answer? ​

Answers

Answer:

-6+2i

Step-by-step explanation:

f(2i)=2i^2+2i-4

2i^2 is -2 because i^2 is-1, times 2 is -2.

Therefore, the equation becomes -2+2i-4, leaving the answer of -6+2i.

About 2% of the population has a particular genetic mutation. 1000 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 10

Answers

Answer:

Step-by-step explanation:

We khow that the genetic mutation affect 2 percent of the population .

Let's try to understand what does this mean :

in a group of 100 people there is possibility of finding 2 people with this genetic mutation in a group of 1000 the possibility raises to 20 people so we can deduce that each time we add a zero we add a zero in 2

so :

100⇒21000⇒2010000⇒200100000⇒2000

and so on

Mr. Pillot always rides his bicycle to work, and he begins his ride at the same time every day. If he averages 10 miles per hour, he arrives at work 2 minutes late, but, if he averages 15 miles per hour, he arrives 1 minute early. How many miles does Mr. Pillot ride to work? Express your answer as a decimal to the nearest tenth.

Answers

Answer:

10 miles per hours =1/6 miles per minute

15 miles per hours=1/4 miles per minute

Now, assume he need x minute to rides  his bicycle to  work.

if he averages 10 miles per hour ,then he need (x+2) minute to arrives at work

if he averages 15 miles per hour,then he need (x-1)minute to arrives at work

distance equal velocity multiply by time. d=v*t

distance did not change,so we can set up an equation like....

1/6*(x+2)=1/4*(x-1)

       x+2=1.5(x-1)

       x+2=1.5x-1.5

      0.5x=3.5

      x=7

If if he average speed is 15  miles per hour (1/4 miles per minute), he need 7-1=6 minute  to arrive at work  

6*(1/4)=3/2 miles=1.5 miles

Same,If he average speed is 10 miles per hour (1/6 miles per minute),he need 7+2=9 minute to arrive at work.

9*(1/6)=3/2 miles=1.5 miles (I just checking)

Step-by-step explanation:

A national survey of companies included a question that asked whether the company had at least one bilingual telephone operator. The sample results of 90 companies (Y denotes that the company does have at least one bilingual operator; N denotes that it does not) are listed in the Excel file Bilingual.xlsx. Use the information to estimate with 80% confidence the proportion of the population that does have at least one bilingual operator. Round LCL and UCL values to 3 decimal places. Data file: Bilingual.xlsxPreview the document Group of answer choices LCL = 0.270, and UCL = 0.397 LCL = 0.252, and UCL = 0.415 LCL = 0.236, and UCL = 0.431 LCL = 0.205, and UCL = 0.461

Answers

Answer:

The first option is correct. Option A is correct.

LCL = 0.270, and UCL = 0.397

80% Confidence interval = (0.270, 0.397)

Step-by-step explanation:

The data for Y and N for the 90 companies is attached to this solution provided.

Y represents companies with at least 1 bilingual operator and N represents companies with no bilingual operator.

The number of Y in the data = 30

Hence, sample proportion of companies with at least one bilingual operator = (30/90) = 0.3333

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = 0.3333

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 80% confidence level for sample size of 90 is obtained from the z-tables.

Critical value = 1.280

Standard error of the mean = σₓ = √[p(1-p)/n]

p = sample proportion

n = sample size = 90

σₓ = √[0.3333×0.6667)/90] = 0.0496891568 = 0.04969

80% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.3333 ± (1.28 × 0.04969)

CI = 0.3333 ± 0.0636021207

80% CI = (0.2696978793, 0.3969021207)

80% Confidence interval = (0.270, 0.397)

Hope this Helps!!!

please it's basic math help it is based on Coordinate Transformations - my answers are wrong so could u write the correct ones please

Answers

Answer:

0, -4 and 0, -2

Step-by-step explanation:

You are wrong with Q2, C and D. You switched the x and y's.

Answer:

see explanations below.

Step-by-step explanation:

Your answers are basically correct, but unfortunately the values between C and D have been inverted in both cases.

For the translation problem, the coordinates are:

A'(-4,2), B'(-2,4), C'(-2,0), D'(-4,0)

using the rule (x,y) -> (x-3, y+2)

For the reflection problem, the coordinates are

A'(5,4), B'(2,4), C'(2,1), D'(5,1)

using the rule (x,y)->(-x,y)

Also, note that letters for images have an appostrophe added, so you could add them on in the transformed images.

Grandpa and Grandma are treating their family to the movies. Matinee tickets cost $4 per child and $4 per adult. Evening tickets cost $6 per child and $8 per adult. They plan on spending no more than $80 on the matinee tickets and no more than $100 on the evening tickets. Let c represent the number of children they take to both shows and let a represent the number of adults they take to both shows. Write a system of inequalities to model this situation.

Answers

Answer:

Let the number of children taken to the movies  = x

Let the number of adults taken to the movies  = y

Lets talk about Matinee tickets first:

so 4$ per child/adult

4x + 4y [tex]\leq[/tex] 80    (since the budget is 80$, we can spend 80$ , hence the less- than or equal-to)

4(x+y)[tex]\leq[/tex] 80

x + y [tex]\leq[/tex] 40

So, for the matinee show, the sum of number of children and adults should be less than or equal to 40

Lets talk about the Evening show:

so 6$/child and 8$/adult

6x + 8y [tex]\leq[/tex] 100

2(3x + 4y) [tex]\leq[/tex] 100

3x + 4y [tex]\leq[/tex] 50

So, for the Evening show, the sum of 3 times the number of children and 4 times the number of adults should not exceed 50

Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 2 sin(xy), (0, 5)

Answers

Answer:

10

Step-by-step explanation:

Given the function f(x, y) = 2 sin(xy) at (0,5), the maximum rate of change of the function at that point will occur in the direction [tex]\nabla f(0,5)[/tex]

[tex]\nabla f(x, y) = \frac{\delta(2sin(xy)) }{\delta x} i + \frac{\delta(2sin(xy)) }{\delta y} j\\\\\nabla f(x, y) = 2ycos(xy)i + 2xcos(xy)j\\\\\nabla f(0, 5) = 2(5)cos(0*5)i + 2(0)cos(0*5)j\\\\\nabla f(0, 5) = 10cos0i+ 0j\\\\\nabla f(0, 5) = 10i+0j\\\\||\nabla f(0, 5)|| = \sqrt{10^2+0^2} \\\\||\nabla f(0, 5)|| = \sqrt{100} = 10[/tex]

Hence, the magnitude of the maximum rate of the function at the point (0, 5) is 10

Mahesh has Rs 150 and he buys a pen costing Rs 75 now he has to buy a copies costing Rs 10 each what is the maximum number of copies did he buy?​

Answers

Answer:

7

Step-by-step explanation:

Rs 150- Rs 75=Rs 75 remaining

Rs 75/10= 7 as whole

Step-by-step explanation:

given,

total amnt =rs.150

cost of pen= rs.75

now,

left money =150_75

=rs.75

now,cost of 1 copy=10

then , no. of copies=75/10

=7.5

so he can buy 7 copies.

The standard error of the estimate measures the scatter or dispersion of the observed values around a __________________________________________________________

Answers

Answer:

True mean/population mean

Step-by-step explanation:

The standard error in this case gives an estimate on how far the values observed during the course of the experiment ate likely to be from the true mean/population mean.

The inclination (tilt) of an amusement park ride is accelerating at a rate of 2160 degreesmin22160\,\dfrac{\text{degrees}}{\text{min}^2} 2160 min 2 degrees ​ 2160, start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, m, i, n, end text, squared, end fraction . What is the ride's acceleration rate in degreess2\dfrac{\text{degrees}}{\text{s}^2} s 2 degrees ​ start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, s, end text, squared, end fraction ? degreess2\dfrac{\text{degrees}}{\text{s}^2} s 2 degrees ​

Answers

Answer:

um

Step-by-step explanation:

not sure sorry

A penny collection contains twelve 1967 pennies, seven 1968 pennies, and eleven 1971 pennies. If you are to pick some pennies without looking at the dates, how many must you pick to be sure of getting at least six pennies from the same year

Answers

Answer:

12 because of a 40 percent of 20 as 12 we know that there is a possiblity of almost all of the 12 to be 1967.

Step-by-step explanation:

he weight of male babies less than months old in the United States is normally distributed with mean pounds and standard deviation pounds. (a) Find the nd percentile of the baby weights. (b) Find the th percentile of the baby weights. (c) Find the first quartile of the baby weights. Use the TI-84 Plus calculator and round the answers to at least two decimal places.

Answers

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: Weight of a male baby (pounds)

X~N(μ;σ²)

μ= 11.5 pounds

σ= 2.7 pounds

a) Find the 81st percentile of the baby weights.

This percentile is the value that separates the bottom 81% of the distribution from the top 19%

P(X≤x₁)= 0.81

For this you have to use the standard normal distribution. First you have to look the 81st percentile under the Z distribution and then "translate" it to a value of the variable X using the formula Z= (X- μ)/σ

P(Z≤z₁)= 0.81

z₁= 0.878

z₁= (x₁- μ)/σ

z₁*σ= x₁- μ

(z₁*σ) + μ= x₁

x₁= (z₁*σ) + μ

x₁= (2.7*0.878)+11.5

x₁= 13.8706 pounds

b) Find the 10th percentile of the baby weights.

P(X≤x₂)= 0.10

P(Z≤z₂)= 0.10

z₂= -1.282

z₂= (x₂- μ)/σ

z₂*σ= x₂- μ

(z₂*σ) + μ= x₂

x₂= (z₂*σ) + μ

x₂= (2.7*-1.282)+11.5

x₂= 8.0386 pounds

c) Find the first quartile of the baby weights.

P(X≤x₃)= 0.25

P(Z≤z₃)= 0.25

z₃= -0.674

z₃= (x₃- μ)/σ

z₃*σ= x₃- μ

(z₃*σ) + μ= x₃

x₃= (z₃*σ) + μ

x₃= (2.7*-0.674)+11.5

x₃= 9.6802 pounds

I hope this helps!

a(n) = 4n - 20
Which equation represents the inverse function n(a), which takes the money
raised as input and returns the number of tickets sold as output?

Answers

Answer:

Option A.

Step-by-step explanation:

The given function is

[tex]a(n)=4n-20[/tex]

It can be written as

[tex]a=4n-20[/tex]

Add 20 on both sides.

[tex]a+20=4n-20+20[/tex]

[tex]a+20=4n[/tex]

Divide both sides by 4.

[tex]\dfrac{a+20}{4}=n[/tex]

Interchange the sides.

[tex]n=\dfrac{a+20}{4}[/tex]

Now, it can written in the function form as

[tex]n(a)=\dfrac{a+20}{4}[/tex]

Therefore, the correct option is A.

I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!

Answers

Answer: L = 20.25

Step-by-step explanation:

[tex]T=2\pi \sqrt{\dfrac{L}{32}}[/tex]

Given: T = 5, π = 22/7

[tex]5=2\bigg(\dfrac{22}{7}\bigg)\sqrt{\dfrac{L}{32}}\\\\\\\dfrac{5}{2}\bigg(\dfrac{7}{22}\bigg)=\sqrt{\dfrac{L}{32}}\\\\\\\dfrac{35}{44}=\sqrt{\dfrac{L}{32}}\\\\\\\bigg(\dfrac{35}{44}\bigg)^2=\bigg(\sqrt{\dfrac{L}{32}}\bigg)^2\\\\\\\bigg(\dfrac{35}{44}\bigg)^2=\dfrac{L}{32}\\\\\\32\bigg(\dfrac{35}{44}\bigg)^2=L\\\\\\\large\boxed{20.25=L}[/tex]

Write an equation in point-slope form for each line

Answers

Answer: y=x+1

Step-by-step explanation:

y+1=1(x+2)

y+1=x+2

y=x+1

Hope this helps:)

AABC - ADEF

Find the value of x

Answers

Answer:

[tex]\boxed{x = 4}[/tex]

Step-by-step explanation:

If ΔABC ~ ΔDEF

Then their sides must be proportional such that:

=> [tex]\frac{x}{3} = \frac{8}{6}[/tex]

Cross Multiplying

=> x * 6 = 8*3

=> 6x = 24

Dividing both sides by 6

=> x = 4

Answer:

4

Step-by-step explanation:

ΔABC ~ ΔDEF

AB/DE = BC/EF

x/3 = 8/6

Cross multiply.

6 × x = 3 × 8

6x = 24

Divide both sides by 6.

(6x)/6 = 24/6

x = 4

Use the given conditions to write an equation for the line in point-slope form and slope-intercept form.
Slope = -5, passing through (-6,-5)

Answers

Answer:

y +5 = -5(x +6)y = -5x -35

Step-by-step explanation:

For a line with slope m through point (h, k), the point-slope form of the equation is ...

  y -k = m(x -h)

For your point and slope, the line is ...

  y +5 = -5(x +6)

__

Adding -5 and simplifying puts this in slope-intercept form.

  y = -5x -30 -5

  y = -5x -35

A population of 450 bacteria is introduced into a culture and grows in number according to the equation below, where t is measured in hours. Find the rate at which the population is growing when t = 4. (Round your answer to two decimal places.)

Answers

Answer:

growing at a rate of 200% an hour

Step-by-step explanation:

I am going to assume that binary fission occurs 4 times an hour.

I need the equation first. 4 hours, 1 time an hour per bacteria.

I'm confused a bit, you were kinda vague. Contact me if you can give me more info, and I will be happy to help.

A college writing seminar increased its size by 50\PP, percent from the first to the second day. If the total number of students in the seminar on the second day was 151515, how many students were in the class on the first day

Answers

Answer: There were 10 students in the class on the first day.

Step-by-step explanation:

Let x be the number of students of the first day.

Given: A college writing seminar increased its size by 50 percent from the first to the second day.

i.e. Number of students on second day = (Number of students on first day)+(50% of Number of students on first day)

= x +50% of x

= x+0.50x

= (1.50)x

=1.50x

Since, it is given that  the total number of students in the seminar on the second day was 15.

i.e. [tex]1.50x=15[/tex]

[tex]\Rightarrow\ x=\dfrac{15}{1.5}\Rightarrow\ x=\dfrac{150}{15}\\\\\Rightarrow\ x=10[/tex]

Hence, there were 10 students in the class on the first day.

f(x)+x^2-3x-2x is shifted 4 units left. The result is g(x). What is g(x)

Answers

Answer:

g(x) = x² + 5x + 2

Step-by-step explanation:

If a function is f(x) = x²

And this function is shifted 4 units left then the rule to be followed is,

g(x) = f(x + 4)

Following the same rule,

For a function f(x) = x² - 3x - 2 when shifted 4 units to the left,

g(x) = f(x + 4)

g(x) = (x + 4)² - 3(x + 4) - 2

      = x² + 8x + 16 - 3x - 12 - 2

      = x² + 5x + 2

Therefore, g(x) = x² + 5x + 2 will be the transformed function.

The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (8 pts) a) Use differentials to estimate the maximum error in the calculated area of the disk. b) What is the relative error

Answers

Answer:

the maximum error in the calculated area of the disk ΔA = 9.6 π cm²

Relative error = 0.016667

Step-by-step explanation:

Given that:

The radius of a circular disk is given as 24 cm with a maximum error in measurement 0f 0.2 cm.

The objective of this question is to use differentials to estimate the maximum error in the calculated area of the disk and determine the relative error.

To start with the differentials used to estimate the maximum error in the calculated area of the disk; we have:

radius of a circular disk  r = 24 cm

maximum error of measurement Δr = 0.2 cm

By the area of a circular disk ; A = πr²

Hence, the error in measuring the area can be represent by the equation;

ΔA = 2πrΔr

ΔA = 2×π ×(24)× (0.2)

ΔA = 9.6 π cm²

The relative error can be determined by using the expression;

Relative error = ΔA /A

where;

ΔA = 2πrΔr and A = πr²

Relative error = 2πrΔr/πr²

Relative error = 2rΔr/r²

Relative error = 2Δr/r

Relative error = 2×0.2/24

Relative error = 0.4/24

Relative error = 0.016667

Find a rational number halfway between 7/8 and 6/7

Answers

Answer: 97/112

================================================

How to get this answer:

Midpoint formula: (A+B)/2 = C

A and B are the endpoints with C as the midpoint

A = 7/8

B = 6/7

A+B = 7/8 + 6/7

A+B = 49/56 + 48/56

A+B = (49+48)/56

A+B = 97/56

(A+B)/2 = (97/56) divided by 2

(A+B)/2 = (97/56) times (1/2)

(A+B)/2 = (97*1)/(56*2)

(A+B)/2 = 97/112

Please help me!!!!!!

Answers

Thi Is strange (-.-)

Topic: trigonometric ratios

To find [tex]x[/tex] we have the fact that its opposite catfish is [tex]24[/tex] and the adjacent catfish is [tex]35[/tex], we must look for some trigonometric reason that relates the opposite side and the adjacent side, that is the tangent:

[tex] \boxed{ \tan( \alpha ) = \frac{o.c}{a.c} }[/tex]

[tex] \tan( \alpha ) = \frac{24}{35} [/tex]

Applying inverse tangent:

[tex] \alpha = { \tan }^{ - 1} ( \frac{24}{35} ) [/tex]

The angle is approximately 34° 26' 20.36''

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