Mathematics College

Find the exact value of tan0 if csc0=-4/3and and the terminal side of 0 lies in Quadrant III.

Find The Exact Value Of Tan0 If Csc0=-4/3and And The Terminal Side Of 0 Lies In Quadrant III.

Answers

Answer 1

Answer:

D. tan(θ) = 3√7/7

Explanation:

csc(θ) is equal to the hypotenuse over the opposite side, so if csc(θ) = -4/3, we can represent the angle with the following triangle

So, we can calculate the missing side using the Pythagorean theorem as follows

\(\begin{gathered} x=\sqrt[]{4^2-3^2} \\ x=\sqrt[]{16-9} \\ x=\sqrt[]{7} \end{gathered}\)

Now, the tangent of the angle is calculated as:

\(\begin{gathered} \tan (\theta)=\frac{Opposite\text{ side}}{Adjacent\text{ side}} \\ \tan (\theta)=\frac{3}{\sqrt[]{7}} \end{gathered}\)

Then, the tangent is equal to:

\(\tan (\theta)=\frac{3}{\sqrt[]{7}}\cdot\frac{\sqrt[]{7}}{\sqrt[]{7}}=\frac{3\sqrt[]{7}}{7}\)

Therefore, the answer is

D. tan(θ) = 3√7/7

Find The Exact Value Of Tan0 If Csc0=-4/3and And The Terminal Side Of 0 Lies In Quadrant III.

Related Questions

help please now help dont be childish will banned ​

help please now help dont be childish will banned

Answers

Step-by-step explanation:

y=3*-2

y=-6

y=3*-1

y=-3

y=3*0

y=0

y=3*1

y=3

y=3*2

y=6

Hope this makes sense

Rewrite 25% as a fraction in simplest form.

Answers

Answer:

1/4

Step-by-step explanation:

Steven read a total of 8 books over 4 months. After belonging to the book club for 7 months,how many books will Steven have read in all?

Answers

If he reads 8 books over 4 months it means that he reads 2 books per month. So, if we multiply this ratio by the 7 months we would find that he reads 14 books over 7 months.

The answer is 14 books.

Sep 23,12:38:50 PM
A certain television is advertised as a 13-inch TV (the diagonal length). If the width of
the TV is 12 inches, how many inches tall is the TV?
How many inches tall the tv??

Answers

Answer:

156

Step-by-step explanation:

length x width = height

Answer:

5

Step-by-step explanation:

The radius of a circle is 13ft. Find it’s area in terms of pi.

Answers

Answer:

\(A = 169\pi \text{ ft}^2\)

Step-by-step explanation:

We can find the area of the circle using the formula:

\(A=\pi r^2\)

↓ plugging in the given radius value

\(A=\pi (13\text{ ft})^2\)

\(\boxed{A = 169\pi \text{ ft}^2}\)

prove (sinxsiny-cosxcosy)(sinxsiny+cosxcosy) =sin^2x-cos^2y

Answers

Step-by-step explanation:

Recall that \(\sin^2x + \cos^2x = 1\)

\((\sin x \sin y - \cos x \cos y)(\sin x \sin y + \cos x \cos y)\)

\(= \sin^2 x \sin^2 y - \cos^2 x \cos^2 y\)

\(= \sin^2 x (1 - \cos^2 y) - \cos^2 x \cos^2 y\)

\(= \sin^2 x - \sin^2 x \cos^2y - \cos^2x \cos^2y\)

\(= \sin^2x - (\sin^2x + \cos^2x)\cos^2y\)

\(= \sin^2x - \cos^2y\)

What is the axis of symmetry for f(x) = 2x2 − 4x + 5? x = −2 x = −1 x = 1 x = 2

Answers

Step-by-step explanation:

for a quadratic equation

y = ax² + bx + c

the x value for the axis of symmetry is

x = -b/(2a)

in our case

y = 2x² - 4x + 5

a = 2

b = -4

x = - -4/4 = 4/4 = 1

x = 1 is the correct answer.

For a school project, Leah is investigating cell phone use in her hometown, Georgetown. So far, she has found that the residents of Georgetown used their cell phones for 463,090 minutes last year. This year, they used their cell phones for a total of 370,472 minutes. What is the percent of decrease in annual usage?

Answers

Answer:

19.99%

Step-by-step explanation:

hope this helps

here you go

The radius of a circle is 11 yards. What is the circle's area?
Use 3.14 for ​.

Answers

Answer:

\(\displaystyle 380,13271108...\:yd.^2\)

Step-by-step explanation:

\(\displaystyle {\pi}r^2 = A \\ \\ 11^2\pi = A \hookrightarrow 121\pi = A \\ \\ \boxed{380,13271108... = A}\)

If you want to follow what the exercise wants, then multiplying \(\displaystyle 3,14\)by the square of the radius will give you \(\displaystyle 379,94\:yd.^2.\)

I am joyous to assist you at any time.

Which of the following techniques will provide the most consistently correct result?

Answers

Please there are no options to be chosen from

-8x+6>-30 what is the answer

Answers

Answer: x< 4.5

Step-by-step explanation:

-8x+6>-30

-8x>-36

x<4.5

The radius of a circle is 19 cm. Find the area

Answers

Answer: 1134.11

A=3.14*r^2

Step-by-step explanation:

Answer:

a ≈ 1134.11 cm2

Step-by-step explanation:

The formula:

\(a=\pi r^{2}\)

\(a=\pi (19)^{2} =361\pi\)

\(a=1134.11cm^{2}\)

Hope this helps

Find the missing angles.
with solution
​

Find the missing angles.with solution

Answers

Hello!

y = 88° (opposite are equal)

z = 180° - 128° = 52° (straight angle = 180°)

x = 180° - 140° = 40° (straight angle = 180°)

Answer:

x=40°

y=88°

z=52°

Step-by-step explanation:

Solution Given:

x+140°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for x.

x=180°-140°

x=40°

\(\hrulefill\)

y°=88°

Since the vertically opposite angle is equal.

therefore, y=88°

\(\hrulefill\)

z+128°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for z.

z=180°-128°

z=52°

What do you divide by 90 to get 30?

Answers

Answer:

3

Step-by-step explanation:

3 times 30 = 90 then divide 90 and 30 you get 3

The answer is 2700 you reverse it. 90x30 which will get you 2700 and to double check you can then divide 2700 by 90

Higher Order Thinking Morgan read
a thermometer at 7:00 P.M. The
temperature was 16°C. This temperature
was 9°C less than the temperature at
2:00 P.M. The temperature at 2:00 P.M.
was 10°C higher than the temperature at
8:00 A.M. What was the temperature at
8:00 A.M.?

Answers

The temperature at 8:00 A.M. was 15°C.

Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.

We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C

3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.

Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C

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a line with y-intercept (0,1) which passes for thought the point (1,1)

Answers

Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.

The template: y = mx + b

b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:

y = mx – 2

Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.

So, taking your two points, you calculate the slope, m, in the following way:

(x1,y1) = (0,–2)

(x2,y2) = (5,1)

        y2 – y1                   1 – (–2)                1 + 2               3

m = ________   =     ________    =     ________  =    ____

       x2 – x1                      5 — 0            

Step-by-step explanation:

someone please help with this thank you!

someone please help with this thank you!

Answers

Answer:

answer for the first part: 61 ft

second answer: 152.5

Cuántos saltos debe dar la rana para recorrer lo mismo que un alto de gato

Answers

According to the information, we can infer that the frog must take 4 hops to travel the same distance as a cat's jump.

How many hops must the frog take to travel the same distance as a cat's jump?

Since the cat's jump covers a distance of 1 meter, we need to determine how many hops the frog needs to take to cover the same distance.

The frog's jump covers 1/4 meter, and we want to find the number of hops needed to reach 1 meter (the distance of the cat's jump).So, to do this, we can set up a proportion:

1 meter (cat's jump) = x hops (frog's jumps) * 1/4 meter (frog's jump)

By cross-multiplying, we have:

1 * 4 = x * 14 = x

So, the correct answer is 4 because the frog has to jump 4 times to cover the same distance of the rabbit.

Note: This question is in a different language. Here is in English:

How many hops must the frog take to travel the same distance as a cat's height?

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Hi can someone please help me solve the following system of inequalities and state the coordinates in the solution setz

Hi can someone please help me solve the following system of inequalities and state the coordinates in

Answers

The graph of the system of the inequalities is attached.

To graph the inequalities y < -x - 4 and y ≥ (3/5)x + 4, we can start by graphing the corresponding equations and then shade the appropriate regions based on the inequality signs.

Let's begin with the equation y = -x - 4:

Choose a range of x-values to plot.

For simplicity, let's use x-values from -10 to 10.

Substitute different x-values into the equation to find corresponding y-values.

For example:

When x = -10, y = -(-10) - 4 = 10 - 4 = 6.

When x = 0, y = -(0) - 4 = -4.

When x = 10, y = -(10) - 4 = -10 - 4 = -14.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = -x - 4.

Next, let's graph the equation y = (3/5)x + 4:

Again, choose a range of x-values to plot. Let's use the same range of -10 to 10.

Substitute different x-values into the equation to find corresponding y-values. For example:

When x = -10, y = (3/5)(-10) + 4 = -6 + 4 = -2.

When x = 0, y = (3/5)(0) + 4 = 0 + 4 = 4.

When x = 10, y = (3/5)(10) + 4 = 6 + 4 = 10.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = (3/5)x + 4.

Now, let's shade the regions based on the inequalities:

For y < -x - 4, we need to shade the region below the line y = -x - 4.

For y ≥ (3/5)x + 4, we need to shade the region above or on the line y = (3/5)x + 4.

Hence, the region where the shaded regions overlap represents the solution to both inequalities.

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Hi can someone please help me solve the following system of inequalities and state the coordinates in

Simplify this algebraic expression.

Simplify this algebraic expression.

Answers

4/4 = 1

z-1+8 = z+7

C. z+7

The correct Answer is c. Z+7

A radio transmission tower is feet tall. How long should a guy wire be if it is to be attached feet from the top and is tomake an angle of with the ground

Answers

Answer:

Length of guy wire is 590.6 ft

Step-by-step explanation:

The complete question is

A radio transmission tower is  210  feet tall. How long should a guy wire be if it is to be attached 8 feet from the top and is to make an angle of  20°  with the ground. Give your answer to the nearest tenth of a foot.

height of tower = 210 ft

8 ft fro the top leaves 210 - 8 = 202 ft to the ground

This is an angle of elevation problem

the opposite is 202 ft

hypotenuse = ?

angle is  20°  

using sin ∅ = opp/hyp

sin  20°  = 202/hyp

0.342 = 202/hyp

hyp = 202/0.342 = 590.6 ft   this is the length of the guy wire

Which set of side lengths form a right triangle? PLEASE HELP!!! WILL MARK BRAINLIEST
A) 15 m, 20 m, 25 m
B) 3 ft, 6 ft, 5 ft,
C) 7 cm, 8 cm, 10 cm
D)10 in. 41 in. 40 in.

Answers

Answer:

A) 15 m, 20 m, 25 m forms a right triangle.

- Aimi is making Valentine's Day cards for everyone in her class. She plans to use a whole sheet of paper for each of her 2 closest friends. She will use 1/2 of a sheet of paper for everyone else in the class. She has 13 sheets of paper. How many of the smaller cards can she make?​

Answers

Ff DVD’s the link is 6

which value of k makes the inequality 11+2k>19 true?

Answers

Answer:

k>4

Explanation:

Given the inequality

\(11+2k>19\)

First, subtract 11 from both sides.

\(\begin{gathered} 11-11+2k>19-11 \\ 2k>8 \end{gathered}\)

Next, divide both sides by 2

\(\begin{gathered} \frac{2k}{2}>\frac{8}{2} \\ k>4 \end{gathered}\)

The value of k that makes the inequality true is any value of k greater than 4.

We can write this in interval notation as:

\((4,\infty)\)

solve for x, using the secant lines. 53° 189°

Answers

The measure of the arc opposite to 189° is 136°.

What are secant lines?

Secant lines are lines that intersect a curve at two distinct points. They are used to approximate the slope of the curve by measuring the change in the y-coordinate of the two points divided by the change in the x-coordinate of the two points.

The measure of the angle opposite to 189° is x.

To solve for x, we can use the property of alternate interior angles.

The sides of the two secant lines that intersect outside the circle form alternate interior angles whose measures are equal.

Therefore, the two angles formed by the secant lines inside the circle must have the same measure.

Therefore, 53° + x° = 189°.

Subtracting 53° from both sides, we get x° = 136°.

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solve for x, using the secant lines. 53 189

Reflected across the y-axis, translated down 5 units

Answers

Answer:

7y and 7 5x

Step-by-step explanation:

7y and 7x is diffrentOK

What is/are the formula(s) to find the area of a circle?​

Answers

Answer:

pi radius squared

Step-by-step explanation:

Answer: pi r^2 and pi * d

Step-by-step explanation:

Radius =r and d = diameter, ^2 means square

15 points!!!
Write an
equation of the parabola shown.

15 points!!! Write anequation of the parabola shown.

Answers

Answer:

Step-by-step explanation:

15 points!!! Write anequation of the parabola shown.

x - 3y = 2
-2x + 6y = 2

Answers

Answer:

x=3y

y=x

3

Step-by-step explanation:

x-3y=2 equation 1

-2x+6y=2 equation 2

x-3y= -2x+6y

x+2x=6y+3y

3x=9y

x=3y

x-3y= 2

3y-3y=2

0≠2

-2x+6y=2

-2(3y)+6y=2

-6y+6y=2

0≠2

A plane slices a double-napped cone parallel to the base of the cone. Which conic section is formed?a. circleb. ellipsec. hyperbolad. parabola

Answers

ANSWER

Circle

EXPLANATION

When a plane, parallel to the base of a cone, slices a cone, a circle is formed

Answer: Circle

Step-by-step explanation:

If a plane slices a double-napped cone parallel to the base of the cone, the conic section formed is a circle.

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