simplify sinΘ+cosΘcotΘ

Answers

Answer 1

Answer:  [tex]\csc(\theta)[/tex]

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Work Shown:

[tex]\sin(\theta)+\cos(\theta)*\cot(\theta)\\\\\\\sin(\theta)+\cos(\theta)*\frac{\cos(\theta)}{\sin(\theta)}\\\\\\\sin(\theta)+\frac{\cos^2(\theta)}{\sin(\theta)}\\\\\\\frac{\sin^2(\theta)}{\sin(\theta)}+\frac{\cos^2(\theta)}{\sin(\theta)}\\\\\\\frac{\sin^2(\theta)+\cos^2(\theta)}{\sin(\theta)}\\\\\\\frac{1}{\sin(\theta)}\\\\\\\csc(\theta)\\\\\\[/tex]

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Related Questions

Reflect triangle A in the line Y = 1

Answers

Answer:

(1,2); (4,4); (1,4)

Step-by-step explanation:

Just reflect it directly across the y axis starting at x=1.

In the school parking lot at the high school, there were 120 cars and 30 SUVs, for a total of 150 vehicles. Complete the statement: People drove cars and SUVs in a ratio of __ to 1. (PLEASE HELP I NEED THE ANSWER ASAP)

Answers

Answer:

120 to 30 cars to SUVs, 120 to 150 cars to vehicles, 30 to 150 SUVs to vehicles, 4 to 1 cars to SUVs

Find the area of the figure below. Round your answer to one decimal place.

Answers

Answer: 57.1 (rounded)

Step-by-step explanation:

Area of triangle formula: 1/2 x base x height

Area of a semicircle: 1/2 x pi x r^2

(1/2 x 8 x 8) + (1/2 x pi x 4^2)

= 57.1 (rounded)

Which expression is equivalent to 6 (3x + 4)?
9x +4
180 + 24
9.2 + 10
18.0 +4
Done

Answers

Answer: 18x+24

Step-by-step explanation:

 PLEASE HELPPPPP ME PLEASE I DONT KNOW WHAT TO DO ☹️#7

Answers

Given:

The function is:

[tex]f(x)=-2x+5[/tex]

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

[tex]f(x)=-2x+5[/tex]

Step 1: Substitute [tex]f(x)=y[/tex] .

[tex]y=-2x+5[/tex]

Step 2: Interchange x and y.

[tex]x=-2y+5[/tex]

Step 3: Isolate variable y.

[tex]2y=5-x[/tex]

[tex]y=\dfrac{5-x}{2}[/tex]

Step 4: Substitute [tex]y=g(x)[/tex].

[tex]g(x)=\dfrac{5-x}{2}[/tex]

Hence, the inverse of the given function is [tex]g(x)=\dfrac{5-x}{2}[/tex] and the graphs of these functions are shown below.

i cant find the answer​

Answers

Answer:

D

Step-by-step explanation:

6ab/1 b^8=6a/b^7

please help it’s due in 35 minutes thanks if you do!!

Answers

Answer:

[tex]n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}[/tex] --- Trinomial

[tex](n + \frac{1}{3})^2 = \frac{1}{9}[/tex] --- Binomial

Step-by-step explanation:

Given

[tex]n^2 + \frac{2n}{3}[/tex]

Solving (a): Perfect square trinomial

We have:

[tex]n^2 + \frac{2n}{3}[/tex]

Express as an equation

[tex]n^2 + \frac{2n}{3} =[/tex]

Start----------------------------

Take coefficient of n i.e. (2/3)

Half it: i.e. (1/3)

Square it: (1/63^2

Add to both sides of the equation

---------------------------End

So, we have:

[tex]n^2 + \frac{2n}{3} + (\frac{1}{3})^2 = (\frac{1}{3})^2[/tex]

Remove brackets

[tex]n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}[/tex]

Solving (b): Binomial Squared

[tex]n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}[/tex]

Expand

[tex]n^2 + \frac{n}{3}+ \frac{n}{3} + \frac{1}{9} = \frac{1}{9}[/tex]

Factorize:

[tex]n(n + \frac{1}{3})+ \frac{1}{3}(n + \frac{1}{3}) = \frac{1}{9}[/tex]

Factor out n + 1/3

[tex](n + \frac{1}{3})(n + \frac{1}{3}) = \frac{1}{9}[/tex]

Express as square

[tex](n + \frac{1}{3})^2 = \frac{1}{9}[/tex]

In the diagram below, DF = JL = a, FE = LK = b, and triangle DEF is a right triangle.
Use the drop-down menus to complete the proof that if the equation a² + b2 = c2 is true of
the side lengths in triangle JKL, then triangle JKL must be a right triangle.
a
b
c
b
Triangle DEF is a right triangle
a² +6² c²
Click the arrows to choose an answer from each menu.
To prove triangle JKL is a right triangle, we must show that Choose... is a right angle.
Since triangle DEF is given to be right triangle, the Pythagorean theorem can be applied to
determine that Choose...
We already know that a² + b2 = c in triangle JKL, SO
these two equations show that Choose...
which is enough to
prove that triangles DEF and JKL are congruent triangles. Then, triangle JKL must be a
right triangle because Choose...
hi

Answers

Answer:

Angle L,

a^2+b^2=DE^2

De^2=c^2 and CE=c

angle L=F

ΔDEF and ΔJKL are congruent to each other.

Triangle

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Right angle triangle

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given

DF = JL = a, FE = LK = b,

And ΔDEF is a right triangle.

To find

ΔDEF and ΔJKL are congruent to each other.

How to find the ΔDEF and ΔJKL are congruent to each other?

Since the Pythagoras theorem is applicable in ΔDEF.

a² + b² = c²

This equation also satisfies the ΔJKL Hence angle K is the right-angle.

Since, ∠F = ∠L = 90°,

          DF = JL = a,

          FE = LK = b

Therefore, ΔDEF ≅ ΔJKL

Thus, ΔDEF and ΔJKL are congruent to each other.

More about the triangle link is given below.

https://brainly.com/question/25813512

Write 1.5 : 6 as a whole number ratio in it's simplest from.

Answers

Answer: 1.5 : 6 = 1 : 4

Step-by-step explanation: Change values to whole numbers.

Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places.

We then have:

1.5 : 6 = 15 : 60

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 15 and 60 is 15

Divide both terms by the GCF, 15:

15 ÷ 15 = 1

60 ÷ 15 = 4

The ratio 15 : 60 can be reduced to lowest terms by dividing both terms by the GCF = 15 :

15 : 60 = 1 : 4

Therefore:

1.5 : 6 = 1 : 4

Multiple Choice
Probability is a measure
of how likely an event is
to occur. Choose the
best probability for an
event that is very
unlikely, but will occur
once in a while in a long
sequence of trials.
a. 0
b. 0.01
C. 0.3
d. 0.6
e. 0.99
f. 1

Answers

Answer:

0.01

Step-by-step explanation:

Answer:

0.01

Step-by-step explanation:

because I think it's this answer

can u please help me​

Answers

Answer:

(a) x=45°

(b) If AD was parallel to BC, <A would be equal to (180-<B)=90 (corresponding angles). Since <A≠90, we can see that AD and BC aren't parallel.

Step-by-step explanation:

(a)

Angles in a quadrilateral add to 360:

<A+<B+<C+<D=360

2x+90+x+3x=360

6x=270

x=45°

(b)

If AD was parallel to BC, <A would be equal to (180-<B)=90 (corresponding angles). Since <A≠90, we can see that AD and BC aren't parallel.

Answer:  Step-by-step explanation:

3x+2x+x=360-90

6x=270

x=45

∠DAB=2x=90° and ∠ABC=90° ⇒ AD║BC

What is 15/7 an mixed number

Answers

[tex]2 \frac{1}{7} [/tex]

is the answer

Answer:

answer: 2 1/7

Hope this helps

THIS IS A GCF PROBLEM FOR A2 HELP!!!

Answers

The GCF or greatest common factor is “5x”

HELP ILL MARK BRAINLIST

Answers

Answer:



a. complementary angles
b. neither
c. supplementary angles
d. supplementary angles
e.
75 + 5x = 180
5x = 105
x = 21

So your final answer should be ccns21.

hope this helps!

illmakeubrainlessforthecorrectanswer

Answers

Answer:

THE CORRECT ANSWER IS B- 73 FEET

The given condition in question will form a right angle triangle

and the length of sides of triangle are given 55ft, 48ft and missing one.

Now using pythagoras theorem,55²+48²= x²

x² = 3025 + 2304

x² = 5329

Taking square root of 5329 will give 73 ft!

The right rectangular prism is filled with cubes that have a side length of 1/8
foot.
How many cubes does it take to fill the prism? (Look at the photo please!!)

Answers

Find the volume of the rectangular prism and divide by the volume of the cube.

Volume of cube = side measure ^ 3
Cube = (1/8)^3 = 1/512

Volume of prism = l x w x h
Prism = (1/4)(1/2)(3/8) = 3/64

3/64 / 1/512
3/64 x 512/1
3 x 512 / 64
1536 / 64
24

Find the the measure of angle 7

Answers

Answer:

60

Step-by-step explanation:

180-120 = 60

The angles are vertical.

Answer:

60

Step-by-step explanation:

What is the area, in square inches, of the isosceles trapezoid below?

Answers

A = 73.84

Explanation-

14.2 - 6.4 = 7.8 (to get the length of the base without the top part)

7.8 • 5.2 = 40.56 (to find the area outside of our subtracted square that has the top part)

6.4 • 5.2 = 33.28 (to find the area of the inner square)

40.56 + 33.28 = 73.84 (adding together both parts to find the total area)

A = 73.84

If the surface area of the cube is 70 cm^2 what is the approximate length of one side of the cube

Answers

Answer:

3.41565

Step-by-step explanation:

Which of these groups of relative frequencies will be best buy a pie chart

Answers

Answer: You are correct! Whatever adds up to 100% is the answer! :)

Yes, answer c is correct

HELLLP PLSsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer: A and D are your answers

A (1/2 + 2 = 2 1/2 which means the improper fraction is 5/2)

D (1/2 of 8 =4)

If a number cube numbered 1-6 is tossed 300 times about how many times would you expect to land on the number 3?



50


200


150


100

Answers

answer: 50

explanation: the average for 300 flips on a 6 numbered cube is 50

Jennifer is picking a ball out of a box without looking. The probability of picking a green ball is 1/12.

Which option best describes the likelihood of Jennifer picking a green ball?

Answers

Answer:

it's a

Step-by-step explanation:

It is possible none of the choices is the solution?

If I’m wrong, then which one is the correct answer?

Answers

Answer:

I am pretty sure the answer would be B!

Hope this helps

Mark me brainliest if I'm right :)

48 oz of trail mix costs $8.16. What is the cost per ounce?​

Answers

Answer:

5.9 oz i think.

Step-by-step explanation: I divided 48 and 8.16 and got 5.882 so I rounded it to get 5.9

3.2468 rounded to the nearest tenth.
please help me​

Answers

Answer:

3.2

Step-by-step explanation:

Find the number in the tenth place  

2

and look one place to the right for the rounding digit  

4

. Round up if this number is greater than or equal to  

5

and round down if it is less than  

5

.

Find three rational numbers between
1
5
and 0.20.

Answers

2, 3 and 4 is the three rational numbers between

Step-by-step explanation:

True po talaga enanswer ko❤️

A batted baseball leaves the bat at an angle of θ with the
horizontal and an initial velocity of v0 = 300 feet per second. The
ball is caught by an outfielder 530 feet from the home plate. The
range r of a projectile is given by sin  2
32
1 2
o r  v
.
What is the value of the angle of the bat from the ground?

Answers

Answer:

Sixty Baseball Physics Problems © page 1 ! ! Sixty Baseball Physics Problems (many with correct solutions!) Sixty Baseball Physics Problems

Step-by-step explanation:

what is 23^a x 23^b= Pls I need the answer

Answers

Answer:

23^(a+b)

Step-by-step explanation:

23^a x 23^b =23^(a+b)

23^a+b i looked it up

A marketing professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 10 students who took the course last quarter follow.
Hours Spent Studying Total Points Earned
45 40
30 35
90 75
60 65
105 90
65 50
90 90
80 80
55 45
75 65
a) Develop an estimated regression equation showing how total points earned is related to hours spent studying.
b) Test the significance of the model with alpha = .05.
c) Predict the total points earned by Mark Sweeney. He spent 78 hours studying.
d) Develop a 95% prediction interval for the total points earned by Mark Sweeney.

Answers

Answer:

ansber 5 good by. ............

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