prove it equals 1
(Tanx - Cotx) + Sinx.Cosx

Prove It Equals 1(Tanx - Cotx) + Sinx.Cosx

Answers

Answer 1

Step-by-step explanation:

(sinx/cosx - cosx/sinx) + sinxcosx

sin²x - cos²x = 1

I can't prove

I only know sin²x + cos²x = 1 : )


Related Questions

a. translation; four units right and six units down
b. translation; four units left and six units down
c. rotation; 90 degrees
d. reflection; across y=-4

Answers

Answer:

b. translation; four units left and six units down

Estimate the value of 96.8 x 9.74

Answers

Answer:

1000

Step-by-step explanation:

Let's round!

96.8 can be rounded to 100

9.74 can be rounded to 10

100*10=1000

Hope this helps!

The estimated value of the given product is 970. The given product is (96.8×9.74). This is obtained by using the rounding-off method.

What is estimation?Estimating means finding something close to the actual answer. In other words, it is approximating.Estimating decimal products involves many strategies.General strategy is rounding-off to the nearest value method.

Estimating the given product:

The given product is (96.8×9.74)

Here the first decimal number in the product is 96.8

Since the digit after the decimal point 8 is nearer to the value of 10, it is rounded to 97. I.e., 96.8≅97

And the second decimal number is 9.74

Since the digit after the decimal 7is nearer to the value of 10, it is rounded to 10. I.e., 9.74≅10

So, the product is  97×10=970

Thus, 96.8×9.74≅970 (approx.)

Therefore, the estimated value is 970.

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find a, b, and c please and thank u

Answers

A=80
B=100
C= 11
Is this the I-ready

Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.

SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!

IMAGE DOWN BELOW!!

Answers

the answer would be 7

You text your friend for 15 minutes on friday night and for 25 minutes on saturday night. what is the percent of increase? (round to nearest whole percent)

Answers

Answer:

66%

Step-by-step explanation:

This doesn't really require any equations, it's just brain work.

15 can be easily divided into 3 parts, each part consisting of 5 units. Here, it will be 5 minutes, then, if it's 5 minutes for each 33%(this number is rounded), then, that means that for 10 minutes, it will be 66%. You can understand this because the amount of increase in minutes is 10 minutes, and if each 5 minutes = 33% of increase, then 33+33=66, so hence, our answer is 66%.

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look at attachment hurry

Answers

Answer:

the top one on the right

Step-by-step explanation:

i used desmos graphing calculator

Haven baskets manufacturers 83,575 woven baskets a year. determine the minimum sales price Haven baskets must sell each basket for to break even, if the total annual fixed costs are $817,363.50 and the variable cost per basket is $12.17.
$21.95
$24.50
$29.65
$31.25​

Answers

Answer:

Step-by-step explanation:

Givens

Number of baskets sold = 83575

sale price of each = x

Fixed Cost of producing these baskets = 817363.50

Variable cost whis is part of the production of each basket = 12.17

Break Even means the costs = income.

Equation

83575*x = 12.17*83575 + 817363.50       Combine the multiplied facts

Solution

83575x = 1017107.75 + 817363.50          Combine addition on right

83575x = 1834471.25                               Divide by 83575

x = 1834471.25/83575

Answer: x = 21.95

Use the GCF to factor 9x+54

Answers

Answer:

9(x+6)

Solution:The GCF stands for Greatest Common Factor.We need to factor out the GCF of this binomial (expression with two terms)In order to factor out the GCF, we need to divide both terms by the GCF and place it outside the parentheses, like so:9x+549x÷9=x54÷9=6x+69(x+6)

Hope it helps.

Do comment if you have any query.

Please help me with this!

What is the distance between ( − 2 , − 4 ) and ( 5 , 7 ) ? Use the distance formula, d = √ ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 .

4.24
6.32
10.25
13.03

Answers

Answer:

13.03

Step-by-step explanation:

Suppose ( x₁ , y₁ ) =  ( − 2 , − 4 )  and  (x₂ , y₂ ) = (5 , 7)

In the formula  :  d = √ [( x₂− x₁ )² + ( y₂ − y₁ )²]

Just replace x₁ by -2

       replace y₁ by -4

       replace x₂ by 5 

       replace y₂ by 7

We get ,

d = √ [( 5− (-2) )² + ( 7 − (-4) )²]

Then

d = √ [(7 )² + ( 11 )²]

d = √ [49 + 121]

d = √ [170]

  ≈ 13.03

Einstein's theory of Relativity E=mc²​

Answers

Einstein went on to present his findings mathematically: energy (E) equals mass (m) times the speed of light (c) squared (2), or E=mc2. The secret the equation revealed—that mass and energy are different forms of the same thing—had eluded scientists for centuries.

Answer:

Einstein went on to present his findings mathematically: energy (E) equals mass (m) times the speed of light (c) squared (2), or E=mc2.

The secret the equation revealed—that mass and energy are different forms of the same thing—had eluded scientists for centuries. 

×

E=mc2

In Einstein's first paper about energy and mass, E=mc2 doesn't actually appear anywhere—he originally wrote the formula as m=L/c2. What happened? Einstein was using "L" (for Lagrangian, a general form of energy) instead of "E" for energy. Later, he replaced "L" with "E," rearranged the variables, and the famous form of the equation emerged.

The implications of E=mc2 are profound. For centuries, scientists had considered energy and mass to be completely distinct and unrelated to each other. Einstein showed that in fact, energy and mass are different forms of the same thing. Einstein himself was surprised by the finding, calling it "amusing and enticing" and wondered "whether the Lord is laughing at it and has played a trick on me."

Write a second equation for the system so it has infinitely many solutions.

Write a second equation whose graph goes through (0,2) so that the system has no solutions.

Write a second equation whose graph goes through (2,2) so that the system has one solution at (4,3).

Answers

Answer:

See below ↓

Step-by-step explanation:

Our equation :

y = 3/2x - 3

(A) Infinitely Many Solutions

y = 3/2x - 3The slope and y-intercept have to be equal in order for it to have infinitely many solutions

(B) No solution

y = 3/2x + 1The slope has to be equal and the y-intercept has to be different in order for it to have no solution

(C) One solution at (4, 3)

x has to equal 4y = 3/2x - 3 and y = 2x - 1In both of these equations, (4, 3) is a solution

a certain number is added to 6 and then divided by 10. The result is 3. Find the number​

Answers

Answer:

let the number be x.

(x+6)/10 = 3

x+6 = 30

x =24

how do i find the vertex of y= -4x^2-16x+1 ?

Answers

Answer:

(-2, 17)

Step-by-step explanation:

the first step you can do to find the vertex is to find the axis of symmetry

the equation for that is -b/2a

-(16) / 2(-4)

-16 / 8 = -2

the axis of symmetry is x =-2 so you plug in -2 to the equation

-4(-2)^2 - 16(-2) + 1

-4(4) + 32 + 1

-16 + 33

17

the vertex is (-2, 17)

“Use distributive property to rewrite each expression.”

3(a + 10)

Answers

Answer:

The answer is

3a+30

Step-by-step explanation:

I hope this helped

find the value of x

16
65
25
108

Answers

Answer: 16

Step-by-step explanation:

HELP I NEED IT
NO LINKS!!

Answers

Answer:

option c

Step-by-step explanation:

Area of triangle:

a = 2 and c = 3

base = 6ac²

         = 6 *2 * 3 * 3

        = 108 cm

height = base + 3

          = 108 + 3

          = 111 cm

[tex]\boxed{\text{Area of a triangle = $ \dfrac{1}{2}*base*height$}}[/tex]

                              [tex]=\dfrac{1}{2}*108*111\\\\\\= 54*111\\\\=5994 \ cm^{2}[/tex]

Answer:

5,994 cm²

Step-by-step explanation:

Formula

Area of the triangle = 1/2 x base length x height

Given

Base length = 6ac² cmHeight = 6ac² + 3 cma = 2c = 3

Solving

Area = 1/2 x 6ac² x (6ac² + 3)Area = 1/2 x 36a²c⁴ + 18ac²Area = 9ac² (2ac² + 1)Substitute the values of a and c⇒ Area = 9 x 2 x (2 x 2 x + 1)⇒ Area = 162 (36 + 1)⇒ Area = 162 x 37⇒ Area = 5,994 cm²

Which expression is equivalent to 23−14x+12x−16?

Answers

The Answer is

7 - 2x

Step-by-step explanation:

23 -14x + 12x - 16

(23 - 16) + (-14x + 12x)

= 7 - 2x

hope this help a'lot

The expression equivalent to 23−14x+12x−16 is 7 - 2x

How to find equivalent expressions?

Here we simply take our expression to simplify it.

We start with:

23−14x+12x−16

First, we combine all the terms having x and combine other constant values.

(23 - 16) + (-14x + 12x)

Now we solve the two parts of the above expression we will get,

7 + (- 2x)

Simplifying we get,

7 - 2x

Therefore  the equivalent expression is 7 - 2x

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What percent of the utterances in the sample need to be 1 word in length in order to use Nelson's or Bloom's One-Word Utterance Analyses

Answers

The percent of the utterances in the sample need to be 1 word in length is 13.3%.

How to calculate the percentage?

Your information is incomplete. Therefore, an overview will be given. Let's assume that the number if 1 word is 12 and the total number of words given is 90.

Therefore, the percentage will be:

= 1 word/Total words × 100

= 12/90 × 100.

= 13.3%

In conclusion, the percentage is 13.3%.

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help!!!!!!! hurry and help me pls!

Answers

Answer:

(2, 4)

Step-by-step explanation:

A reflection across the y-axis, will simply change the sign of your x-coordinate to positive rather than negative, this gives you a new point (2,4).

Which shows the correct solution to the inequality StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p? StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative StartFraction 37 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative StartFraction 37 over 40 EndFraction.

Answers

Answer:

The answer is C

Step-by-step explanation:

one side of a triangle is 8 inches long and another side is 4 inches long. The third side is opposite an obtuse angke. What is a possible length of the third side? Explain​

Answers

Answer:

it should be over 8 inches long

Step-by-step explanation:

by the instructions

a side of a triangle is 8 inches and other one is 4 inches

and the OPPOSITE of OBTUSE angle is the 3 Rd one

As the Third side which connect the 1st and 2nd side ( of the obtuse angle) it should be over 8 inches.

A line parallel to the graph of (y − 4) = m(x − 7) passes through (−1,−2) and (m, 10). If
m > 0, what is the value of m?

Answers

Answer:

Step-by-step explanation:

Givens

These are the givens for the second line. The second line also has m (same value) as the x coordinate of one of the points. I'm not sure why you are given the first line.

x1  = - 1

x2 = m

y1 = - 2

y2 = 10

Second line formula for m

m = (y2 - y1) / (x2 - x1)            Substitute values for this equation

Solution

Note that the m you seek is both the slope of the second line, and the x  coordinate of one of the points.

m = (10 -  - 2) / (m - - 1)           Change the double minus, and combine

m = 12 / (m + 1)                       Multiply both sides by (m + 1)

m(m+1) = 12                             Remove the brackets

m^2 + m = 12                          Subtract 12 from both sides.

m^2 + m - 12 = 0                    Factor

(m + 4)(m - 3) = 0

We are told that m >0

So m- 3 = 0

m = 3

Answer

The value for m = 3. The first line also has a slope of 3

A textbook store sold a combined total of 255 sociology and physiology textbooks in a week. The number of sociology textbooks sold was two times the number of physiology textbooks sold. How many textbooks of each type were sold?

Answers

Answer:

75 physiology Textbook was sold and 150 sociology textbook was sold

Step-by-step explanation:

Let x represent textbook

2x + x = 225

⇒3x = 225

⇒[tex] \sf \frac{\sout{3}x}{\sout{3}} = \frac{225}{3}[/tex]

⇒x = 75

75 textbooks for physiology

To find How many textbook for sociology

Multiply 2 by the amount of physiology

⇒2 × 75

⇒150 sociology textbook

Which object would weigh closest to 1 ton? A.Car B.Toothbrush C.Notebook D.Dog​

Answers

A, because a car is heavy think about it like this you can pick up every other thing with ease you cannot pick up a car with ease

What is the scale factor of this dilation?

Answers

Answer:

I am not sure but I thing it is -2.

Step-by-step explanation:

Hope it helps! (Please mark brainliest if it does!)

1.6667

Step-by-step explanation:

the lengths are the same on both sides which makes the triangles equilateral

therefore the scale=5/3

=1.6667

Please help me with this problem I’m very confused and cannot figure it out

Answers

There has to be a common denominator in order to add fraction.
1 / a + b and 5 / 2 ( a + b)

the common denominator would be 2(a+b) therefore multiple thé first fraction by 2, and the second by 1.

2 / 2(a + b) + 5 / 2(a + b)

2 + 5 = 7
the denominator stays the same
so 7 / 2(a + b)

A 48-fluid-ounces container of orange juice costs $.2.40.A 60-fluid -ounces container of orange juice costs $3.60.Which is the better coast

Answers

Answer:

48/2.40    =    60/360

Step-by-step explanation:

do a proportion chart

PLEASE ANSWER WITH SOLUTION PLS
1. A student scored 235 marks in the examination out of 300 marks. Calculate the percentage of marks secured by the student.

2. In an election, Magie N. Hawa got 70% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560, find the number of valid vote polled in favour of Magie N. Hawa.

3. there are 108 girls in a school. 70% of the pupils in the school are boys. How many pupils are there in the school altogether?

Answers

Answer:

See below ↓

Step-by-step explanation:

1.

Score of the student on examination = marks scored / total marksScore = 235/300 [Divide throughout by 5]Score = 47/60 [Using long division, approximate to tenths place]Score = 0.783 [Multiply with 100 to convert decimals → percentage]Score = 78.3%

2.

Total valid votes = 560 x (100 - 15)%Total valid votes = 560 x 0.85Total valid votes = 476Votes for Magie N. Hawa = 476 x 70%Votes for Magie N. Hawa = 333.2 ≅ 333 votes

3.

108 girls = (100 - 70)% of pupils108 / 0.3 = number of pupils360 pupils

3. Write 6x - 2y = 0 in slope-intercept form, if possible.

Answers

Answer:

y=3x

Step-by-step explanation:

Answer:

y = 3x

Step-by-step explanation:

subtract 6x to the other side

divide by -2

there is no y-intercept because it's 0

The table is shaped like a trapezoid. The sum of the lengths of both bases is 90 inches. The area is
1,170 square inches. Write an equation to find the height of the table.
HELPP

Answers

Answer:

Step-by-step explanation:

Formula (Normal Area Trapezoid)

A = (b1 + b2 ) * h / 2

Formula (Trapezoid Modified for the question)

b1 + b2 is given as 90

Area = 90*h / 2

Givens

b1 + b2 = 90

Area = 1170

h = ?

Solution

Area = 90 * h / 2               Substitute  the givens into the formula

1170 = 90 * h/ 2                 Divide by 2 on the right.

1170 = 45 * h                      Divide both sides by   45

1170 / 45 = 45 * h/45

Answer: h = 45 inches.

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