Mathematics High School

I NEED HELP WITH THIS QUESTION PLEASE, i don't have much time T^T

i'll give brainliest and points, thank you in advancee <33

an explanation for future reference would be appreciated!!^^

Answers

Answer 1

Answer:

Option b is the correct answer

Step-by-step explanation:

[tex]\cos x = -\frac{12}{13}[/tex] (Given)

Formula relating sin x and cos x is given as below:

[tex]\sin^2x = 1-\cos^2x[/tex]

[tex]\implies \sin^2x = 1-\bigg(-\frac{12}{13}\bigg)^2[/tex]

[tex]\implies \sin^2x = 1-\frac{144}{169}[/tex]

[tex]\implies \sin^2x = \frac{169-144}{169}[/tex]

[tex]\implies \sin^2x = \frac{25}{169}[/tex]

[tex]\implies \sin x =\pm\sqrt{ \frac{25}{169}}[/tex]

[tex]\implies \sin x =\pm \frac{5}{13}[/tex]

It is given that: 180° < x < 270°. This means x falls in the third quadrant. In third quadrant sin ratio is negative.

[tex]\implies \sin x =- \frac{5}{13}[/tex]

Now, we will find the value of tanx by dividing sinx by cosx.

[tex]\implies \tan x =\frac{\sin x}{\cos x}[/tex]

[tex]\implies \tan x = \frac{-5/13}{-12/13}[/tex]

[tex]\implies\red{\bold{ \tan x =\frac{5}{12}}}[/tex]

tan (90° + x) and tan x both lie in the interval 180° < x < 270°. So, the values of both will be equal.

[tex]\implies \tan (90\degree + x ) =\tan x[/tex]

[tex]\implies \huge{\purple{\tan (90\degree + x ) =\frac{5}{12}}}[/tex]

Related Questions

There are 26 counters in a bag. 5 of the counters are pink. 10 of the counters are blue. the rest of the counters are white. jan puts some more pink counters into the bag. she then takes some blue counters out of the bag. after she has done this there are still 26 counters in the bag. jan then takes at random a counter from the bag. the probability that she takes a pink counter is 1/2 what is the probability that she takes a blue counter?

Answers

The probability of picking a blue counter from the bag is 1 / 13.

What is the probability?

The number of counters initially in the bag:

white counters = 26 - 10 - 5 = 11 pink counters = 5 blue counters = 10

The number of counters now in the bag:

white counters = 11pink counters = (5 + x) / 26 = 1/2

13/26

x = 13 - 5 = 8

blue counters = 26 - 13 - 11 = 2

Probability of picking a blue counter = number of blue counters / total number of counters

2/26 = 1 / 13

To learn more about probability, please check: https://brainly.com/question/13234031

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Which equation is y = 9x2 9x – 1 rewritten in vertex form? y = 9 (x one-half) squared minus thirteen-fourths y = 9 (x one-half) squared minus 1 y = 9 (x one-half) squared five-fourths y = 9 (x one-half) squared minus five-fourths

Answers

This looks similar to one of my questions I’ll be back if I find the answer

Answer:

Step-by-step explanation:

stuck on these two questions.. finding the indicated limit

Answers

Answer:

1: The limit doesn't exist

Step-by-step explanation:

Question 1:

f(x) = x + 10 for when x approaches 8

18 = 8 + 10 which is NOT true x < 8 18 < 8

f(x) = 10 - x for when x approaches 8

2 = 10 - 8 which is NOT true x ≥ 8 2 ≥ 8

Question 2:

f(x) = 5 - x for when x approaches 5

0 = 5 - 5 which is TRUE x < 5 0 < 5

f(x) = 8 for when x approaches 5

which is NOT x = 5 8 = 5

f(x) = x + 3 for when x approaches 5

8 = 5 + 3 which is TRUE x > 5 8 > 5

integral from 0 to 5 of x^2 + 3 dx

Answers

Answer:

=170/3 or (decimal 56.67)

Step-by-step explanation:

Steps

∫⁵ x²+3dx

⁰

Apply the Sum Rule: ∫fx) + gx) dx = ∫f(x)dx +-∫ g(x)

∫⁵ x² dx +∫⁵ 3dx

⁰ ⁰

∫⁵ x² dx=125/3

⁰

∫⁵ 3dx=15

⁰

125/3+15

=170/3

Find an integer x such that x, 56, 65 is a pythagorean triple

Answers

Answer:

x = 33

Step-by-step explanation:

The three numbers will be a Pythagorean triple if the sum of the squares of the first two is equal to the square of the third.

We want ...

x² +56² = 65²

x² = 65² -56² = 4225 -3136 = 1089

x = √1089 = 33

The value x = 33 will make (33, 56, 65) a Pythagorean triple.

The probability of spinning am even number is 40%. What is the probability of not spinning an even number, written as a decimal

Answers

Answer:

That would be 0.6 that means 60 percent.

Answer:

Probability of not spinning an even number is 0.6

Step-by-step explanation:

Total probability is 100 since it represented by %.

Therefore if 40% is the probability of spinning an even number then that of not spinning an even number is simply

100% - 40% = 60%

Expressing 60% as a decimal gives us 0.6

Solve for x.
X=
x +19 7x +9

Answers

Step-by-step explanation:

X+7x=9-19

8x=-10

X=-10÷8

X=1.25

A lightbulb manufacturer must test a sample of lightbulbs to ensure that quality and safety standards are being met. Which of these methods will produce the most representative sample of the population of lightbulbs made by this company? OA. The manufacturer tests every lightbulb made on Monday. B. The manufacturer tests the last 100 lightbulbs produced each month. OC. The manufacturer tests the first lightbulb off the production line each day OD. The manufacturer tests every 1000th lightbulb off the production

Answers

Answer:

Step-by-step explanation:

It makes the most sense

Equivalent fractions for 6/11 and 5/12 using the common denominator

Answers

well, the cheap answer is, simply multiply the top and bottom of one fraction by the other fractions denominator, Check the picture below.

I need help pleaseeeeee I do not know what to do here

Answers

Answer:

[tex]A = 256[/tex]

Step-by-step explanation:

Since the hexagon is regular, we know that all of the side lengths are equal. We can find the length of the sides by solving for [tex]l[/tex] in the formula for the area of a hexagon:

[tex]A = \frac{3\sqrt{3}}{2}l^2\\384\sqrt{3} = \frac{3\sqrt{3}}{2}l^2\\384 = \frac{3}{2}l^2\\256 = l^2\\16 = l[/tex]

Now that we have the side length, we can find the area of the square:

[tex]A = l^2\\A = 16^2\\A = 256[/tex]

Answer:

256 in²

Step-by-step explanation:

Area of a Hexagon (To find side length)

A = 3√3 x l² x 1/2384√3 = 3√3 x 1/2 x l²256 = l²l = 16 in

Area of square

Area = (Side length)²Area = (16)²Area = 256 in²

The area of a square is 180 square inches. the measure of one side of the square lies between which of these two consecutive integers?
between 11 and 12
o
between 12 and 13
o
between 13 and 14
o
between 14 and 15

Answers

The measure of one side of the square lies between 13 and 14.

What is the measure of one side?

A square is a quadrilateral with four equal sides that has four angles that are equal and two diagonals that bisect each other at 90 degree.

Area of a square = length of a side²

length of a side = √ area

√180 = 13.42

To learn more about squares, please check: https://brainly.com/question/9030544

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What is the solution to the equation

m - 8 = 12

Answers

Answer:

m= 20

Step-by-step explanation:

add 8 to both sides,

12+8=20

PLEASE HELP WITH THE PICTURE BELOW NEED IT IMMEDIATELY!
50 POINTS!

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's use slope - point form of line to get the required equation ~

[tex]\qquad \sf \dashrightarrow \:y - y_1 = m(x - x_1)[/tex]

where,

m = slope of the line ( given in question )

[tex] \sf{y_1 = 6} [/tex]

[tex] \sf{x_1 = 9} [/tex]

Now, let's put in the values ~

[tex]\qquad \sf \dashrightarrow \:y - 6= \dfrac{5}{9} (x - 9)[/tex]

[tex]\qquad \sf \dashrightarrow \: y - 6 = \dfrac{5}{9} x - 5[/tex]

[tex]\qquad \sf \dashrightarrow \: y = \dfrac{5}{9} x - 5 + 6[/tex]

[tex]\qquad \sf \dashrightarrow \: y = \dfrac{5}{9} x + 1[/tex]

So, the correct choice is A

What is the additive inverse of the complex number –12 4i? –12 – 4i –12 4i 12 – 4i 12 4i

Answers

The additive inverse of the complex number -12 + 4i is 12 - 4i

How to determine the additive inverse?

The complex number is given as:

-12 + 4i

The additive inverse of a complex number a + bi is -a - bi

This means that the additive inverse of -12 + 4i is 12 - 4i

Hence, the additive inverse of the complex number -12 + 4i is 12 - 4i

Answers

Answer:

This is correct because linear equations have to be in slope-int form

Step-by-step explanation:

If (product ) > 20 then (product) - 27 else if (product) < 10, then (product) + 2 else (product) - 6

Answers

AnsweB i think

Step-by-step explanation:

What transformations would result in the image shown?

Δ ABC is reflected over both axes.
Δ ABC is reflected over the y-axis and translated down 5 units.
Δ ABC is reflected over the x-axis and translated right 5 units.
Δ ABC is translated right 5 units and down 5 units.

Answers

ABC is translated right 5 units and down 5 units

Kyle is considering a 7/1 ARM. What does 7 represent?

Answers

Answer:

The number of years the fixed interest rate will be applied to the loan

Step-by-step explanation:

I just guessed the answer was (The number of years the fixed interest rate will be applied to the loan)

The area of a DVD is 36π cm. What is the diameter of the DVD?

Answers

Answer:

12 cm

Step-by-step explanation:

shape of DVD is circle

Area of circle = 36π

πr² = 36π

r² = 36

r = √36

r = 6

Diameter (d) = 2r = 2(6) = 12cm

a student walks 8 steps east 6 steps northeast 9 steps north west what is her displacement? include magnitude and direction

Answers

The displacement is 18.03 steps, and the direction is 47.25°

How to get the displacement?

We know that displacement is the difference between the final position and the initial position.

We assume the initial position (0, 0). Let's define the positive x-axis as the east and the positive y-axis as the north.

First, the student moves 8 steps east, so she is at:

(0 + 8, 0)

Then she moves 6 steps northeast, so the new position is:

(6*cos(45°) + 8, 6*cos(45°))

Finally, she moves 9 steps due north, so we have:

(6*cos(45°) + 8, 6*cos(45°) + 9)

Then the final position is:

(12.24, 13.24)

So the displacement is:

D = (12.24, 13.24) - (0, 0) = (12.24, 13.24)

The magnitude of the displacement is:

[tex]|D| = \sqrt{12.24^2 + 13.24^2} = 18.03[/tex]

So the magnitude is 18.03 steps.

And the direction is given by the arctangent of the quotient between the y-component and the x-component:

[tex]\theta = Arctg(13.24/12.24) = 47.25 \°[/tex]

If you want to learn more about displacements:

https://brainly.com/question/4931057

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First one to answer, i will mark brainlist

Answers

Answer:

WX < YW < XY

Step-by-step explanation:

Angle sum property

Sum of all angles of triangle = 180

114 + 53 + ∠y = 180

167 + ∠Y = 180

∠Y = 180 - 167

∠Y = 13

The side opposite to smallest angle is shortest.

Angles in ascending order: ∠Y < ∠X < ∠W

Sides in ascending order: WX < YW < XY

Select the correct answer. which expression shows the factors of 9x2 3x − 2? a. (3x − 1)(3x − 2) b. (3x 1)(3x − 2) c. (3x 2)(3x − 1) d. (9x − 2)(x 1)

Answers

The complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

How to determine the complete factorization?

The expression is given as:

9x² + 3x - 2

Expand the equation

9x² + 3x - 2 = 9x² + 6x - 3x - 2

Factorize the expression

9x² + 3x - 2 = 3x(3x + 2) - 1(3x + 2)

Factor out 3x + 2

9x² + 3x - 2 = (3x - 1)(3x + 2)

Hence, the complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

Answers

Answer:

Your first answer is correct.

Second question: 300 ft.

Step-by-step explanation:

2nd problem, create a proportion.

[tex]\frac{220}{x}=\frac{305}{416} \\305x = 91520\\\frac{305x}{305}= \frac{91520}{305} \\x=300[/tex]

Which of the following equations represents a line that is parallel to the line with equation y = 3/2*x-7/4?
(A) 6x+4y=8
(B) -6x + 4y = 11
(C) x-2y=-4
(D) 3x+2y=7

Answers

Answer:

(B) -6x + 4y = 11

Step-by-step explanation:

Two lines are parallel if they have the same slope

In the line equation, y = mx + b, m = slope

For y = 3/2*x - 7/4, slope = 3/2

(B) can be written as

4y = 6x +11

Dividing by 4 on both sides gives y = 6/4*x + 11/4 which is 3/2*x + 11/4 so the coefficient of x (the slope) is 3/2 which is the slope of the line in the question

Using same strategies for the other lines, you will see
(A) has slope -3/2

(D) has slope -3/2

A bicycle store costs $2200 per month to operate. The store pays an average of $40 per bike. The average selling price of each bicycle is $80. How many bicycles must the store sell each month to break even?

Answers

Answer:

Step-by-step explanation:

120n=2400+60n is break-even point

60n=2400

n=40 bikes need to be sold monthly to break even!!!!!!!!!!!!

the length of a rectangle is a inches. the width is 3 inches longer then the length. What is the area and the perimeter of the rectangle

Answers

Step-by-step explanation:

here's the answer.......

Does anybody understand this? QSRT is a Rectangle and SQR=55

Answers

Answer:

90°; 55°; 35°; 110°; 70°

Step-by-step explanation:

A rectangle has corner angles that are 90°. When the corner angle is divided into two parts, the total of the parts is 90°.

Each of the triangles is isosceles. The figure is symmetrical about its center.

An exterior angle to a triangle is equal to the sum of the remote interior angles.

∠SRT = 90° . . . . a corner angle

∠STR = 55° . . . . symmetrical to the given angle

∠QRS = 180° -55° -90° = 35° . . . . sum of angles in ΔQRS is 180°

∠QPT = 2×55° = 110° . . . . exterior angle to ΔQPS; ∠QSP =∠SQP

∠TPR = 180° -110° = 70° . . . . forms a linear pair with ∠QPT

_____

There are numerous ways to figure any or all of these angles. They come down to the fundamentals: angles in a triangle total 180°; angles that form a line total 180°; corner angles of a rectangle are 90°. Base angles of an isosceles triangle are congruent.

The exterior angle rule derives from the sum of angles in a triangle and on a line both being 180°.

Does anybody know this? Find the value of y and z

Answers

Answer:

z = 70 (Since it is a straight angle)

y = 110 (y = 180 - z)

Verify whether x ≤ 3 is the solution to the inequality 7x ≥ 20x - 39.

Answers

Answer:

Yes, it is correct.

Step-by-step explanation:

7x≥20x-39

39≥13x

x≤39/13

x≤3

Ineed answers for this math review

Answers

Find the perimeters of all the figures. = ADD all four sides of shape.

(Length + Width + Height + Base)

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I NEED HELP WITH THIS QUESTION PLEASE, i don't have much time T^T i'll give brainliest and points, thank you in advancee <33an explanation for future reference would be appreciated!!^^​

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I NEED HELP WITH THIS QUESTION PLEASE, i don't have much time T^T

i'll give brainliest and points, thank you in advancee <33

an explanation for future reference would be appreciated!!^^