If θ is an angle in standard position and its terminal side passes through the point (-7,-5), find the exact value of cot ⁡ θ cotθ in simplest radical form.

Answers

Answer 1

Plot the point (-7, -5). We are in quadrant 3.

We also know that tan θ = opp/adj.

Cot θ = adj/opp.

Let us use a^2 + b^2 = r^2 to show you how to find r, the radius aka hypotenuse.

Look: (-7)^2 + (-5)^2 = r^2

If you should ever need to find r, do this:

(-7)^2 + (-5)^2 = r^2

(49) + 25) = r^2

74 = r^2

Take the square root on both sides of the equation to find r.

sqrt{74} = sqrt{r^2}

sqrt{74} = r

It is ok to simplify the sqrt{74} but not needed.

We now have the three sides of the triangle that is form in quadrant 3.

We can now read cot θ from the triangle itself.

So, cot θ = adj/opp = (-7)/(-5) or 7/5.

No need to find r but I simply wanted to show you how it's done in case you are given a question where r must be found.


Related Questions

 What is the volume of this cone?

Answers

Answer:

C) volume = 84.8 m³

Step-by-step explanation:

volume = 1/3πr²h = 1/3(3.14)(3²)(3) = 84.8 m³

Answer:

[tex]volume = 28.3m^3[/tex]

Step-by-step explanation:

[tex]volume \: of \: cone = \frac{1}{3} \times 3 \times 3.14 \times { 3}^{2} = 28.3{m}^{3} [/tex]

I need help on finding the perimeter of MNP. I do not know how to start this problem. Any help will be appreciated :)

Answers

Answer:

The perimeter of triangle MNP is 130 units

Step-by-step explanation:

By the mid segment theorem, we have it that the a side of the smaller inner triangle is 1/2 the measure of the parallel side of the bigger triangle that faces it

This mean RS is half MN, QS is half NP and QR is half MP

Using this, we have it that;

2(x + 4) = 5x - 34

2x + 8 = 5x -34

5x-2x = 34 + 8

3x = 42

x = 42/3

x = 14

So we have RS which is x + 4 as 14 + 4 = 18

The perimeter of the smaller triangle is the sum of its side lengths

We have this as;

22 + 25 + 18 = 65

Furthermore, by the mid segment theorem , the perimeter of the bigger triangle is twice that of the smaller

thus, we have the perimeter of MNP as 2(65) = 130 units

State whether segments of the given lengths can be side of a right angle triangle.
a=7, b=24, and C=25.
Show working to support your answer. *
2 Points

Answers

Given:

In a triangle,

[tex]a=7,b=24,c=25[/tex]

To find:

Whether the given segments are the sides of a right triangle or not.

Solution:

In a right triangle the square of largest side is equal to the sum of squares of two smaller side.

[tex]c^2=a^2+b^2[/tex]                 (Pythagoras theorem)

Three sides are [tex]a=7,b=24,c=25[/tex]. Here, 25 is the largest side.

[tex]25^2=625[/tex]

Now, the sum of squares of two smaller sides is:

[tex](7)^2+(24)^2=49+576[/tex]

[tex](7)^2+(24)^2=625[/tex]

[tex](7)^2+(24)^2=25^2[/tex]

Since the sum of squares of two smaller side is equal to the square of largest side, therefore the given segments are the sides of a right triangle.

What is 1/3 divided by 5 I’m so confused lol

Answers

The answer should be 0.06

Please someone help me! If sinα*cosα=-0.5 then what's the value of sin^4α+cos^4α and sin^6α+cos^6α?

Answers

HEY MATE check the attachment :)

Carlos was studying whether or not eating fast food had a effect on a person's weight. He surveyed 100 people and recorded the
number of times they ate fast food per week and their weight. Carlos then calculated the correlation value and got a value of 0.93.
Which conclusion could Carlos make?
es )
A)
Eating fast food does not cause an increase in a person's weight.
B)
There is no relationship between eating fast food and a person's weight
0
There is a strong positive relationship between a person's weight and
eating fast food.
D)
There is a definite cause and effect relationship between eating fast food
and gaining weight.

Answers

Answer: C

Step-by-step explanation:

I got this right

SOMEONE HELPP MEEE PLEASEEE THIS IS DUE IN 15 MINS

Answers

Answer:

30=3x+6

Step-by-step explanation:

Answer this question to get marked as barinliest!!!!!

Answers

Answer:

d

Step-by-step explanation:

Answer:

148.877 cubic meters.

Step-by-step explanation:

To find the volume of a cube, multiply the side length by itself 3 times (x^3).

Like this,

5.3 ⋅ 5.3 ⋅ 5.3 = 148.877

148.877 is the product.

Therefore, 148.877 is the volume of this cube.

help? its from khan academy

Answers

Answer:

the answer is y=3x+3

Step-by-step explanation:

Answer: 3x+3

Step-by-step explanation:

Find the mx+b

B= 3, starting point on y-axis

M = 3, find rise over run.

The ratio of seventh graders to sixth graders on a chess team is 5 to 3 . What is the ratio of seventh graders to total chess players ? Enter the correct answer in the box

Answers

Answer: 5 : 8

Step-by-step explanation:

The ratio of seventh graders to sixth grader on the team is 5 : 3.

Assuming that only seventh and sixth graders are in the team, the total number of chess players at the most simple basis is:

= Number of seventh grade students in ratio + Number of sixth grade students in ratio

= 5 + 3

= 8 students

There are 5 seventh graders so the ratio will be:

= 5 : 8

Note: The chess team will most likely have more than 8 members but the  ratio of seventh graders to total chess players will still be 5 : 8.

The perimeter of a rectangle is represented by the expression 6x + 4. If the width of the rectangle is represented by the expression x – 1, which expression represents the length? 4x + 6 4x – 6 2x + 3 2x + 6

Answers

Answer:

2x + 3

Step-by-step explanation:

two sides measure (x-1) which gives 2(x-1) or 2x - 2

subtract 2x - 2 from 6x + 4 to get 4x + 6

4x + 6 represents twice the length so divide it in half to get:

2x + 3

Answer:

The perimeter of a rectangle is represented by the expression 6x + 4. If the width of the rectangle is represented by the expression x – 1, which expression represents the length?

4x + 6 4x – 6 2x + 3 <<<CORRECT 2x + 6

Step-by-step explanation:

EDGE 2021

Please Help ASAP no links

Answers

Answer:

.

Step-by-step explanam m, mntion:

.

Solve the system of equations and choose the correct answer from the list of
options.
d + e = 12
-d + e = -8
Label the ordered pair as (d, e).
1) (0,0)
2) (2, 10)
3) (10,2)
4) (12,0)

Answers

Answer:

3) =(10,2) is correct because

(d,e) = (10,2) respectively

then, d±e

10±2

12

-d±e

-10±2

-8

A cylindrical well has a radius of 10 feet and a height of 15 feet. What volume of water will it take to fill the well?​

Answers

Answer:

volume = 4710 ft³

Step-by-step explanation:

base area = πr² = (3.14)(10²) = 314 ft²

volume = base area x height = 314 x 15 = 4710 ft³

Which pair of triangles is Alessandra referring to, and which criterion should she use for establishing congruence?

Answers

Answer:

△ABCtriangle and △CDAtriangle, by side-angle-side

Step-by-step explanation:

The amount of money in the account after 18 years will be $449.5.  

What are congruent triangles?If two triangles have the same size and shape they are called congruent triangles. If we flip, turn or rotate one of two congruent triangles they are still congruent. If the sides of two triangles are the same then the triangles must have the same angles and therefore must be congruent.

Given is a parallelogram as shown in the image.

In order to prove ABCD as a parallelogram, we can prove ΔABE and ΔCDE congruent to each other by Angle - Angle - Side congruent property as -

∠BAE = ∠DCE     {Alt. int. angles}

∠ABE = ∠CDE     {Alt. int. angles}

AB = CD    {Given}

Therefore, she can prove ABCD as a parallelogram by proving -

ΔABEΔCDE using AAS criteria.

To solve more questions on congruent triangles, visit the link below -

https://brainly.com/question/22062407

#SPJ2

Help on these please

Answers

All the triangles have 180° total angle measurement.

First question:

114 + 37 + x = 180°

151 + x = 180

x = 180 - 151

x = 29°

Second question:

93 + 46 + x = 180

139 + x = 180

x = 180 - 139

x = 41°

Answer:

In the first question x=29 Because the interior of a triangle adds up to 180.So you will add 114+37=151 , 180-151=29

The second question 93+46=139

180-139=41

x=41

Factor the following trinomials. Place each factor in its own blank. You do NOT need to put
parenthesis, just put one binomial (WITHOUT SPACES) into each blank.
X^2+ 13x + 36

Answers

Answer:

(x+9)(x+4)

Step-by-step explanation:

We wish to factor x²+13x+36 into the form of (x+p)(x+q) where p+q=13 and pq=36.

Factors of 36: 1, 2, 3, 4, 6, 9, 12. 18, 36

Notice that 9+4=13 as 9*4=36, which satisfies the values of p and q

This means x²+13x+36 can be factored into (x+9)(x+4)

Haley is watching a movie that is 120 minutes long she draws this bar model to show 120 minutes divided into ten groups if Haley has watched 40% of the movie how many minutes has she watched?

Answers

Answer:

48 minutes

Step-by-step explanation:

take 40/100 and ?/120

we have to figure out what "?" equals

120*40= 4800

divide 4800 by 100 becuase that is the maximum percentage

4800/100= 48

40/100 = 48/120

Hope I helped

Line A has the equation 4x+3y=12. Line B is parallel to Line A and has a y- intercept of 2. What is the equation of the Line B in slope-intercept form?​

Answers

Answer: A: y= -4/3x + 2

Step-by-step explanation: By working out the problem this is what I ended up with.

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

the scale is x4

because 10x4=40

11x4=44

18x4=72

you multiply by 4 on all of them

Answer:

the scale is x4

because 10x4=40

11x4=44

18x4=72

you multiply by 4 on all of them

Step-by-step explanation:

A triangle has vertices at (-2, 1), (1, 1), and (1, -3). Find its area and round to the nearest whole number if necessary.do not include units in your answer

PLEASE HELP ME

Answers

Answer:

6

Step-by-step explanation:

Plot the points and connect in pairs.

We got a right triangle.

The legs have the length:

1 - (-2) = 3 units and1 - (-3) = 4 units

The area of the triangle is:

A = 1/2bh A = 1/2*3*4 = 6  square unit

Yadira made a wooden cone with a radius of 2 inches and a height of 15
inches. Which of the following is the best estimate of the volume of this cone?
Select one:
60 cubic inches
30 cubic inches
90 cubic inches
180 cubic inches

Answers

Answer:

60 cubic inches

Step-by-step explanation:

A = πr²(h/3) = 4(5)π

Use the diagram shown to answer the question.

What is the value of sin Q?

Answers

The answer will going to be A

Which one is larger: The surface area of a sphere with
radius r inches or the combined area of three circles
each of radius r inches? How do you know?

Answers

Answer:

Step-by-step explanation:

formula for surface area of a sphere is

A = 4πr^2

for a circle the area is

A = πr^2

notice they are the same except for the 4 in front of the sphere... so which do you think is bigger

3 circles or 1 sphere.. that all have the same  "r"  ???

it's the sphere.. if you're really not sure

Solve for y in the following equations: -4x -8y = -8 when x = -4

A) 5
B) 3
C) -5
D) 8

Answers

Answer

Hi! Your answer is B) 3

Step-by-step explanation:

Rewrite the following equations so that you could enter them into the graphing calculator. In other words, solve for y:

Hope I helped! Brainiest plz! Have a nice day!♥ Hope you make a 100% -Amelia

d (1) = 3 d(n)-d(n-1)-14 Find the 3 er term of the succession.​

Answers

Answer:

1/2  pls give me brainly :D

Explanation: Is snip

Question 5 (1 point)
Find the volume of the sphere. Round your answer to the nearest tenth.
Help me please

Answers

Answer: The closest one would be 3052.1

Step-by-step explanation:

pls help, The graph shown below shows the relationship between average heart rate (in beats per minute) of several
mammal species and their life expectancy (in years)

Answers

Answer:

The answer is Nonlinear Association

Hi There Answer Nonlinear Association

Step-by-step explanation:

Which of the segments below is a secant?

A. XB
B. OB
C. XV
D. XY

Answers

A secant of a curve is a line that intersects the curve at a minimum of two distinct points.

So the answer is D. XY

The solution is : D. XY,  is of the segments below is a secant.

What is circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

here, we have,

we know that,

A secant is a line which intersects a circle at exactly two different points and leaves a chord on joining those two points.

again, we know,

A chord is a line which which terminates on the two different points on the circle.

and, we have,

Radius is the line joining the center to any of the point on the  circle.

we know,

Tangent is a line which crosses from the outer periphery of the circle touching at any of its one point.

we get,

Thus the secant in the given diagram is clearly none other than XY.

Hence, The solution is : D. XY,  is of the segments below is a secant.

Learn more about circle here:

brainly.com/question/11833983

#SPJ7

Need to keep cell bill under 60.,monthly charge is 30. And texts are 0.05 each. Write an inequality to represent the # of texts she can have

Answers

Answer:

[tex]30 + 0.05x < 60[/tex]

The number of texts she can have is less than 600.

Step-by-step explanation:

Total monthly charge

30 + 0.05 for each text.

So, for x tests, the charge is:

[tex]C(x) = 30 + 0.05x[/tex]

Write an inequality to represent the # of texts she can have?

It has to be under 60, so:

[tex]C(x) < 60[/tex]

[tex]30 + 0.05x < 60[/tex]

The solution is:

[tex]0.05x < 30[/tex]

[tex]x < \frac{30}{0.05}[/tex]

[tex]x < 600[/tex]

The number of texts she can have is less than 600.

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