Solve the equation 3 tan^2

x − 5 tan x − 2 = 0 for 0° ≤ x ≤ 180°

please explain​

Solve The Equation 3 Tan^2x 5 Tan X 2 = 0 For 0 X 180please Explain

Answers

Answer 1
we can replace tanx with y this making the equation
3y^2 - 5y - 2 = 0 so we solve for y
Δ = b^2 - 4ac (a=3 b=-5 c=-2)
Δ = 25 + 24 = 49
y1 = (5 + 7) / 6 = 12/6 = 2
y2 = (5 - 7) / 6 = -2/6 = -1/3
since tan is positive in the first and third quadrant and according to the question x belongs somewhere in the first two quadrants the following is true
for y1 = tanx = 2 only applies for the first quadrant ( from 0° to 90°) while for y2 = tanx = -1/3 it can only apply for the second quadrant (from 90° to 180°). i hope this made sense because english is not my first language.

Related Questions

Can somebody tell me which one of these options do I put? (I need to put two)

Answers

Answer:

B D and E

Step-by-step explanation:

Expressions do not contain equal signs

Can someone here please help me out?

Answers

Answer:

hope you can now substitute and find y

expanded form :32,456​

Answers

Answer:

30,000 + 2,000 + 400 + 50 + 6

Step-by-step explanation:

[tex]\text{The expanded form of 32,456 would be 30,000 + 2,000 + 4,000 + 50 + 6.}[/tex]

[tex]\text{We would have to identify what each number stands for.}[/tex]

[tex]\text{For example, 3 in 32,456 stands for 30,000.}[/tex]

[tex]\text{Hence, following this rule, we can conclude that the answer above is correct.}[/tex]

[tex]\text{I hope I helped you suceed!}[/tex]

Should we take care of useless equipment and avoid the "trash pile" that is growing in space?

Answers

I personally think yes.

What are the answers

Answers

Answer:

3. 5cm

[tex]4. \: {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Step-by-step explanation:

3. the hypotenuse C squared = side A squared + side B squared. So 3 × 3=9 and 4 × 4 =16 therefore 9 + 16 =25 and the square root of 25 = 5.

4. In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Hope it is helpful....

Determine the median of the following numbers: 8, 11, 11, 12, 13, 15, 16, 16, 18, 21​

Answers

The median of the following numbers is 14

Order the numbers from least to greatest
Since median means middle mark off a number on each side until there is one left. That will be your answer
If it is an even amount of numbers than take the middle two numbers and find the average (mean)
To do so add the numbers and divide by two

Answer:

The median of the following numbers is 14

Step-by-step explanation:

can someone help, please :)

Answers

good luck :))))))))))

14. The Manilow family paid their electric bill using balanced billing all last year. The monthly
payment was m dollars. At the end of the year, the electric company told them they used more
electricity than they were billed for, and they owed d dollars. Express the value of the electricity
used by the Manilows last year algebraically.
Z

Answers

Answer:

12mx

Step-by-step explanation:

Given that

The monthly payment was m dollars

And, they used more electricity

We need to determine the value that should be expressed in algebraically

The Monthly payment is m dollars

Using balance billing, it would be mx dollars

So, the equation is

= mx × 12

= 12mx

hence, the same would be relevant and considered too

Write equivalent fractions for 1 2/3 and 1 7/8 using 24 as the common denominator 2 24 7 1 0​

Answers

Answer:

2×8=16

7×3=21

2/3 + 7/8 = 16/24 + 21/24

the sum of the first four terms of an A.p is 62.if the difference between 4 terms and 2nd terms is 14. find the first term and common difference​

Answers

Answer:

-2 -4 -6 -8

Step-by-step explanation:

I got the answer off of khan academy

please help me here im begging you it won't let me just skip it ​

Answers

Answer:

ABCD in statement and the other in reasoning

Step-by-step explanation:

A triangle has side lengths 8, 7, 4. In a similar triangle the smallest side is represented by x + 5 and the longest side is represented by x - 3. What is the value of x?

Answers

Answer:

x = 11

Step-by-step explanation:

8/4 = (x+5)/(x-3)

cross-multiply:

8(x-3) = 4(x+5)

8x - 24 = 4x + 20

4x  = 44

x = 11

Answer:

Step-by-step explanation:

X=11

The longest known is double than samallest known

2(x-3) = x+5

2x-6 = x+5

x= 11

                   11-3 = 8

                   11+5 = 16

Sides of the known triangle    8,7,4     (side 8 double than side 4)

Sides of the similar triangle       16,14,8   (side 16 double than side  8 )

What type of correlation is shown in the graph?

Answers

Answer:

no correlation

Step-by-step explanation:

it shows no trend or a line thing

also i think your pic is upside down haha

Stock in Macy's costs $25.75 per share. Hector buys 200 shares of Macy's
through his broker who charges a commission of $25.75. How much did George
pay in total to purchase the stock?

Answers

Answer: $5175.75

Step-by-step explanation:

The amount that is paid in total to buy the stock will be gotten through the addition of the cost of the shares and the commission paid. This will be:

= (200 × $25.75) + $25.75

= $5150 + $25.75

= $5175.75

Therefore, the total amount that is paid to buy the stock will be $5175.75.

Sandy is getting ready for the day. She can wear either a balck or white shirt and then either pants, shorts, or a skirt. Create a tree diagram or label all the combinations she can make. How many are there total?

Answers

Black shirt and pants
Black shirt and shorts
Black shirt and skirt
White shirt and pants
White shirt and shorts
White shirt and skirt
6 COMBINATIONS TOTAL

PLEASE HELP ME TO ANSWER THIS QUESTION.

A right pyramid PQRST has a rectangular base QRST. Given
that W is the midpoint of QS and RT, the lengths of QT = 8 cm,
TS = 6 cm and point P is vertically above point W, calculate
(a) PT, in cm, if PW = 12 cm
(b) the value of < PTR [angle PTR]

THANK YOU!!!​

Answers

Answer:

(a) PT = 13 cm

(b) <PTR = [tex]39.7^{o}[/tex]

Step-by-step explanation:

(a) Applying the Pythagoras theorem to QST, we have;

[tex]QS^{2}[/tex] = [tex]ST^{2}[/tex] + [tex]QT^{2}[/tex]

      = [tex]6^{2}[/tex] + [tex]8^{2}[/tex]

[tex]QS^{2}[/tex] = 36 + 64

       100

QS = [tex]\sqrt{100}[/tex]

     = 10

QS = 10 cm

Since QS = TR, then;

WT = [tex]\frac{1}{2}[/tex] TR

      = [tex]\frac{1}{2}[/tex] x 10

WT = 5 cm

Thus, applying Pathagoras theorem to PWT;

[tex]PT^{2}[/tex] = [tex]PW^{2}[/tex] + [tex]WT^{2}[/tex]

      = [tex]12^{2}[/tex] + [tex]5^{2}[/tex]

      = 144 + 25

[tex]PT^{2}[/tex] = 169

PT = [tex]\sqrt{169}[/tex]

    = 13

PT = 13 cm

(b) To determine <PTR, TR = 10 cm. Apply the required trigonometric function;

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos θ = [tex]\frac{10}{13}[/tex]

          = 0.7692

θ = [tex]Cos^{-1}[/tex] 0.7692

  = 39.7179

θ = [tex]39.7^{o}[/tex]

Therefore, <PTR = [tex]39.7^{o}[/tex]

(05.03 LC) What is the equation of a horizontal line passing through the point (2, 10)? (5 points)

Answers

Answer:

y=10

Step-by-step explanation: a horizontal line has no slope

GIVING EVERYTHING IF CORRECT. No fake answers, you will be reported.

Answers

Answer:

283.5

Step-by-step explanation:

Write an equation that you can use to find the value of x.

The perimeter of the triangle: 16 in.

Answers

Answer:

This question seems incomplete

Find the geometric mean between each pair of numbers 8 and 12

Answers

Step-by-step explanation:

......................................................

What is -13 decreased by 9

Answers

Answer:

-4

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

-13 - 9

When both the numbers have the same sign, we add them. After adding we put the same sign of the numbers to the answer

-13-9 = -22

Can I please get help with this math problem? Thanks in advance.

Answers

Answer:

answer: scale factor is 3

Hope this helps

Answer:

ans :; scale factor is 3

this is the correct ans.

(50 points) please help! no links, brainliest, extra points.


I understand if you need points, you can go to my old questions and answer them for points, please only answer if your 100% sure you're correct. I've redone this over 20 times, asked over 50, and failed all those times. thank uu.


Students were asked to find the median of this data set.


Darcy said, "The median is the number in the middle of the list. So, the median is 21."


Darcy made a mistake.


Her mistake is that she did not _____

A) choose the data point that is in the data set most often

B) order the data points from least to greatest before finding the middle data point

C) ignore the data points that repeat in the data set

D) divide the middle data point by the total number of data points

,

The correct median of the data set is ___

A) 14

B) 16

C) 15

D) 14.5

E) 15.5

Answers

Answer:

The answer is B. The correct median of the data set is C, 15.

Step-by-step explanation:

To do a quick recap:

Mode is the average value that is found by adding up all the values and dividing them by the number of values you used.

Median is the number found in the very middle, so Darcy is correct about what a median is.

Mode is the number that appears most.

Notice that the numbers are not arranged in numerical order from least to greatest. She just took the number that she saw in the middle, without considering where it would stand if the numbers were ranked from least to most.

Here's a ranking of all the numbers from least to greatest:

8, 9, 9, 12, 13, 14, 15, 15, 16, 16, 16, 17, 21

From this ranking, we can see that there are a total of 13 numbers. Therefore, the 7th number is the median, which means that the median is 15.

Answer:

as the person before me said, it is b and 15.

Step-by-step explanation:

i know study island can be hard but keep going, you can do it!

Use the picture below and determine which of the lines or line segments 20 points
is/are a diameter
mA
VE
Line m
Line Segment BC
Ο Ο Ο Ο Ο
Line Sesnent AB or AC
Line Segment DE
Line 1

Answers

Line segment AB or AC

Help ASAP 6x - 3(2 – 3x)

Answers

Answer:

First: we expand

6x-(6-9x)

Then we simplify

6x-6+9x

Collect like terms

(6x+9x)-6

Simplify:

15x-6

The answer is 15x-6

The correct answer is 15x-6

You determine that you can make 72 donuts in 2 hours. At that rate, how
many donuts can you make in 8 hours?

Answers

Answer:

576

Step-by-step explanation:

What is the volume of a rectangular prism with a length of 2 1/2 inch width of 4 inches, and a height of 3 inches? * 21: 36 cu, in O 30 cu in 9.5 cu in 0 26 cu.in​

Answers

Answer:

30 cubic inch

Step-by-step explanation:

Simplify 25a/8 x 2a/5​

Answers

Answer:

If the slashes mean divisions and the x means multiplication, the answer would be 25a²/4/5

An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining. A sample of 243 brakes using Compound 1 yields an average brake life of 37,866 miles. A sample of 268 brakes using Compound 2 yields an average brake life of 45,789 miles. Assume that the population standard deviation for Compound 1 is 4414 miles, while the population standard deviation for Compound 2 is 2368 miles. Determine the 95% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2. Step 2 of 3 : Calculate the margin of error of a confidence interval for the difference between the two population means. Round your answer to six decimal places.

Answers

Answer:

The margin of error is of 623.2016.

The 95% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2 is (-8546.2016, -7299.7984).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem, and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.

A sample of 243 brakes using Compound 1 yields an average brake life of 37,866 miles. The population standard deviation for Compound 1 is 4414 miles.

This means that [tex]\mu_1 = 37866, s_1 = \frac{4414}{\sqrt{243}} = 283.16[/tex]

A sample of 268 brakes using Compound 2 yields an average brake life of 45,789 miles. The population standard deviation for Compound 2 is 2368 miles.

This means that [tex]\mu_2 = 45789, s_2 = \frac{2368}{\sqrt{268}} = 144.65[/tex]

Distribution of the difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2.

The mean is:

[tex]\mu = \mu_1 - \mu_2 = 37866 - 45789 = -7923[/tex]

The standard deviation is:

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{283.16^2 + 144.64^2} = 317.96[/tex]

Confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = zs[/tex]

[tex]M = 1.96*317.96 = 623.2016[/tex]

The margin of error is of 623.2016.

The lower end of the interval is the sample mean subtracted by M. So it is -7923 - 623.2016 = -8546.2016

The upper end of the interval is the sample mean added to M. So it is -7923 + 623.2016 = -7299.7984

The 95% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2 is (-8546.2016, -7299.7984).

What is 1/3 of $4.89 dollars

Answers

Answer:

im pretty sure its 1.63

Step-by-step explanation:

lmk if im wrong

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