ASAP Please i need this done in the next 20 minutes

cos^2B-sin^2B=3cosB+1

Answers

Answer 1

the answer is "Using the trigonometric identity

sin²x + cos²x = 1 , then sin²x = 1 - cos²x

Consider the left side

sin²a - sin²b

= (1 - cos²a) - (1 - cos²b)

= 1 - cos²a - 1 + cos²b

= cos²b - cos²a

= right side , thus verified"


Related Questions

is 3/2 x 2/5 is equal to 3/2?

Answers

Answer:

No.

Step-by-step explanation:

the result is 17 / 5, Which is not = 3 / 2

Answer:

3/2*2/5=3/5 (FALSE!)

Step-by-step explanation:

Solve this problem by multiplying the fraction from left to right.

3/2*2/5=3/5

Dividing is another option.

3/5=0.6

No, because 3/2 times 2/5 equals 3/5.

I hope this helps you! Let me know if my answer is wrong or not.

Can someone help me with this please? :)))​

Answers

Answer:

88

Step-by-step explanation:

86 is 98% of 87.755102040816 which rounded to the nearest whole number is 88.

The total area of a picture frame, including
the glass and 1.5-inch wide wooden frame, is
238 square inches. If the frame is 17 inches
tall, what are the dimensions of the maximum
picture size that will fit in the frame?

Answers

The dimensions of the picture size to fit in the frame are 14 inches by 11 inches.

How tall can the picture be?

It is known the frame is 17 inches tall but this includes 1.5 inches of the wooden frame. This means that 3 inches of the frame (1.5 inches x 2) do not count for the size of the picture.

17 inches - 3 inches = 14 inches tall.

How long can the picture be?

We already know the picture can be 14 inches tall and the total area is 238 square inches including the 1.5 wooden frame.

Area = s x sS = Area / sS = 238 / 17 (height including frame)S= 14 inches (length including frame)

14 inches - 3 inches = 11 inches.

Learn more about inches in: https://brainly.com/question/17533009

Hello, could anyone please help me with my homework?
My question is:-
(x+6)^6
Please solve A.S.A.P.
Kindly don't lose your precious time by spamming; instead, please provide a high-quality answer. Thanks in advance :-)

Answers

Answer:

[tex] (x + 6 {)}^{6} = {x}^{6 } + 36{x}^{5} + 540{x}^{4} + 4320 {x}^{3} + 19440{x}^{2}+ 46656{x}^{} + 46656 [/tex]

Step-by-step explanation:

we want to solve the following binomial:

[tex](x + 6 {)}^{6} [/tex]

There is a handy way to expand powers of binomials which is known as binomial theorem . and it describes the algebraic expansion of powers of a binomial. binomial theorem is given by

[tex] \displaystyle (a + b {)}^{n} = \sum _{k = 0 }^{n} \binom{n}{k} {a}^{n - k} {b}^{k} [/tex]

comparing (x+6)⁶ to (a+b)ⁿ , we get

[tex]a \implies \: x[/tex][tex]b\implies \: 6[/tex][tex]n\implies \: 6[/tex]

now substitute them on the formula which yields:

[tex] \displaystyle (x + 6 {)}^{6} = \sum _{k = 0 }^{n} \binom{6}{k} {x}^{6 - k} \cdot {6}^{k} [/tex]

converting the summation notation into sum yields:

[tex] \displaystyle (x + 6 {)}^{6} = \binom{6}{0} {x}^{6 - 0} \cdot {6}^{0} + \binom{6}{1} {x}^{6 - 1} \cdot {6}^{1} + \binom{6}{2} {x}^{6 - 2} \cdot {6}^{2} + \binom{6}{3} {x}^{6 - 3} \cdot {6}^{3} + \binom{6}{4} {x}^{6 - 4} \cdot {6}^{4} + \binom{6}{5} {x}^{6 - 5} \cdot {6}^{5} + \binom{6}{6} {x}^{6 - 6} \cdot {6}^{6} \\ \implies(x + 6 {)}^{6} = \binom{6}{0} {x}^{6 } \cdot 1 + \binom{6}{1} {x}^{5} \cdot {6} + \binom{6}{2} {x}^{4} \cdot 36+ \binom{6}{3} {x}^{3} \cdot 216 + \binom{6}{4} {x}^{2} \cdot 1296+ \binom{6}{5} {x}^{} \cdot 7776+ \binom{6}{6} {x}^{0} \cdot 46656 \\ \implies(x + 6 {)}^{6} = 1 \cdot {x}^{6 } \cdot 1 + 6 \cdot{x}^{5} \cdot {6} + 15 \cdot {x}^{4} \cdot 36+ 20 \cdot {x}^{3} \cdot 216 + 15 \cdot{x}^{2} \cdot 1296+ 6 \cdot {x}^{} \cdot 7776+ 1 \cdot {x}^{0} \cdot 46656 \\ \implies \boxed{ (x + 6 {)}^{6} = {x}^{6 } + 36{x}^{5} + 540{x}^{4} + 4320 {x}^{3} + 19440{x}^{2}+ 46656 {x}^{} + 46656 }[/tex]

and we're done!

What is the equation of the line that passes through the point (-1,-9)and has an undefined slope

Answers

Answer:

x = -1

Step-by-step explanation:

"An undefined slope" indicates that the line in question is a vertical one.  The coordinate x = -1 tells us that the equation of the line is just that:  x = -1.

Help if you understand please and thanks

Answers

Answer:

y = 4

Step-by-step explanation:

because 5 x 4 = 20 and 20 × 4 = 80 and so on y is equal to four

pls help me thank you very much and if your gonna put a wrong answer dont waste my time ​

Answers

Answer:

60 degrees

Step-by-step explanation:

well, angle x is on a line with a little square that means 90 degrees and a 30 degree angle, so you would simply add those two angles together 90+30=120 and then subtract by 180 because a straight line is always 180 degrees which is 180-120=60 degrees.

point grab lol

Maryan harvested a total of 22.69 t of rice and sold it in 100 kg bags. how many full bags did she sell​

Answers

Answer:

1t = 1000kg

22.69 x 1000= 22690 kg

22690 kg ÷ 100 = 226.9

I would usually round it to 227 but I would say 226, since they are asking how many full bags she sold.

solve this please QUICKLY and explain

Answers

Directly solving the linear equations, we will see that:

a) x = -4b) x = 6c) x = 4/3d) x = 2.

How to solve linear equations?

Let's start with the first one:

3 - x = 11 + x

First, move all the terms with x to the left side and the ones without to the right side:

-x -x = 11 - 3

-2x = 8

Now we divide both sides by -2

x = 8/-2 = -4

x = -4

2) 2x + 7 = 3x + 1

Same procedure:

2x - 3x = 1 - 7

-x = -6

x = -6/-1 = 6

x = 6

3) 8 - 2x = 4 + x

-2x - x = 4 - 8

-3x = -4

x = -4/-3 = 4/3

4) 4x + 2 = 2x + 6

4x - 2x = 6 - 2

2x = 4

x = 4/2 = 2

x = 2

So we solved all linear equations.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491

given that 2x^2 - 2y^2 = 40 and x-y=5, find the value of (x+y)

Answers

Answer:

x+y=4

Step-by-step explanation:

hello :

note :  by identity  you have   x²-y² = (x-y)(x+y)

in this exercice : 2x²-2y² = 2(x²-y²) = 2 (x-y)(x+y)

means :   2 (x-y)(x+y) = 40

but x-y = 5

so : 2(5)(x+y) =40

x+y=40/10

x+y=4

1. two positive numbers are in
a ratio of 3:4. the sum of
three times the first and two
times the second is 68. find
the smaller number?
solution​

Answers

Answer:

12

Step-by-step explanation:

the ratio of the 2 numbers = 3 : 4 = 3x : 4x ( x is a multiplier ) , then

3(3x) + 2(4x) = 68 , that is

9x + 8x = 68

17x = 68 ( divide both sides by 17 )

x = 4

smaller number = 3x = 3 × 4 = 12

HURRY PLEASE , I WILL GIVE BRAINLIEST FOR CORRECT ANWSER

Answers

Answer:

B.

Step-by-step explanation:

1) the given equation is provided in slope-interception form, then

2) the interseption is '-3', it means the point (0;-3) - the correct answer is either B or C;

3) the slope of the given line is more that 1 (3/2>1), it means the angle is [45°;90°], then the line of the answer B is satisfies this condition.*

4) finally, the correct answer is B.

* - if to substitute the point (2;0) then it will be true equality 0=0.

what is the nature of triangle formed by the lines x+y=0 , 3x+y=0 , x+3y-4=0

Answers

Answer:

  isosceles obtuse triangle

Step-by-step explanation:

The attached graph shows a plot of the three lines.

The triangle is an isosceles obtuse triangle in the 2nd quadrant.

_____

It is convenient to let a graphing calculator plot these lines. If you're going to plot them by hand, it usually works best to choose values of the variables for the variable that has the largest coefficient (3 in two of the equations). That way, you're not trying to plot coordinates that contain fractions.

Elaine sold twice as many T-shirts as Kim
How many did each girl sell if the total
number of T-shirts sold was 27?
(no links no files) I need equation

Answers

x + 2x = y this equation will solve the problem

4) Luther works at One Stop Smoothie Shop. At work today, he made 20 Berry Blast
smoothies. In each Berry Blast smoothie, there are 3 strawberries and b blueberries. Write
two expressions that represent the total number of berries in the Berry Blast smoothies that
Luther made today.

Answers

The expressions that represent the total number of berries in the Berry Blast smoothies that Luther made today is 3 + b = 20

How to write system of equations

Let the number of strawberries be x

Let the number of b berries be y

If at work today, he made 20 Berry Blast smoothies, then;

x + y = 20

SInce x = 3 and y = b, then;

3 + b = 20

The expressions that represent the total number of berries in the Berry Blast smoothies that Luther made today is 3 + b = 20

Learn more on system of equation here: https://brainly.com/question/847634

The MOST precise measurements this ruler can give are to the nearest A) inch. B) half inch. C) eighth inch. D) quarter inch.

Answers

I am pretty sure it’s an inch or A but if i’m wrong sorry

Solve by substitution or elimination

Answers

Answer:

x=8, y = 0

Step-by-step explanation:

Substitution is easier for this problem.

3x + y = 24 ---> y = 24 - 3x

x^2 + y = 64

Substitute y

x^2 + 24 - 3x = 64

x^2 - 3x = 40

Factor out x

x(x-3) = 40

Pretty much you can guess and check

x = 8

If x = 8, y = 0

or

x^2 - 3x = 40

Complete the square

x^2 - 3x + 2.25 = 42.25

(x-1.5) ^2 = 42.25

Square root both sides

x - 1.5 = 6.5

x=8

x - 1.5 = -6.5

x = -5

Check

x = -5 doesn't work, so x = 8 and y = 0

The roof of Sally’s house is a triangular prism. The angle at the top of this roof is a right angle and the measure of one of the interior angles is 45°. What is the measure of the unknown angle?

A. 45°
B. 55°
C. 35°
D. 25°

Answers

Answer: A

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees, so the unknown angle is 180-90-45=45 degrees.

Answer:

a

Step-by-step explanation:

OMG I NEED HELP LIKE RIGHT NOW

Answers

Answer:

x coordinate is +3 and y coordinate is +1

Step-by-step explanation:

just count three squares right and one square down from D

pls help me to answer this​

Answers

I'll do the first two questions of each activity to get you started. The remaining unanswered questions will follow similar steps compared to the other questions in the same activity group.

=======================================================

Activity 5, Problem 1

To find the mean, we first add up the values

4+8+2+8+5+9 = 36

Then we divide over n = 6 because there are 6 values in this data set.

36/n = 36/6 = 6

Answer: Mean = 6

=======================================================

Activity 5, Problem 2

Follow the same idea as the previous problem.

Add the values:  9+8+8+13+12 = 50

Divide by the number of values: 50/n = 50/5 = 10

Answer:  Mean = 10

=======================================================

Activity 6, Problem 1

The median is the middle-most number. Think of a median of a highway or freeway.

In order to find the median, we first need to sort the data values from smallest to largest.

The original set {7,3,9,9,2,5,8} sorts to {2, 3, 5, 7, 8, 9, 9}

If we erased the first and last items, we get this smaller subset

{3, 5, 7, 8, 9}

repeat again to get

{5,7,8}

At this point its clear the middle most value is 7

But if you wanted, you could cross the first and last values from the list to end up with {7}

Answer: Median = 7

=======================================================

Activity 6, Problem 2

We could do the same trick as the previous problem, but I'll use a slightly different route this time.

We'll need to sort {10,8,4,11,9} into {4, 8, 9, 10, 11}

There are n = 5 items in that set. The middle slot would be at slot n/2 = 5/2 = 2.5 = 3

The value 9 is in slot 3 of the sorted items.

Answer: Median = 9

=======================================================

Activity 7, Problem 1

The mode is the most frequent value of a set. It repeats the most often.

The set {5,6,7,3,5,4} sorts to {3,4,5,5,6,7}

The value "5" shows up the most. It shows up twice when everything else shows up exactly once only.

Answer: Mode = 5

=======================================================

Activity 7, Problem 2

Using the same idea in the previous problem, the set {7,4,11,9,7,3} has the mode 7 because it shows up the most of any other value.

Here's the sorted set: {3,4,7,7,9,11}

Sorting is optional with finding the mode in contrast to being mandatory when it comes to finding the median.

Answer: Mode = 7

A population of bacteria is increasing by 10% cach hour. Find the percentage increase in the population every 3 hours.​

Answers

In 3 hours, it increases 33.1% .

PLS help im going insane

Answers

Answer:

B) 240

Step-by-step explanation:

If you want an explanation, just ask.

Hope this helps! Pls give brainliest!

50 points!! Instructions: Find the missing side. Round your answer to the nearest tenth.

Answers

Answer:

16.4 units to the nearest tenth.

Step-by-step explanation:

sin 66 = 15 / x

x *  sin 66 = 15

x = 15 / sin 66

= 16.4196

sin66=P/Hsin66=15/xx=15/sin66x=16.42

Done!

a
The diameter of a semicircle is 6 yards. What
is the semicircle's perimeter?
d=6 yd
Use 3.14 for a.

Answers

Given -

the diameter of a semicircle is 6 yards.

ie. d = 6yd

ps - use 3.14 for a

To find -

the semicircle's perimeter

Solution -

As we know the formula to find the perimeter of the semicircle is 2r + πr.

But A.T.Q we are only provided with the diameter. As we know that the radius is half of the diameter. ie, r = d/2.

Hence, d = 6

r = 6/2

r = 3 yd

Perimeter of semicircle = 2r + πr

Perimeter of semicircle = 2(3) + 3.14(3)

Perimeter of semicircle = 15.42 yd

Hence forth the semicircle's perimeter is 15.42 yd

❦ Question -:

The diameter of a semicircle is 6 yards. Find the perimeter of the semicircle?

❦ Explanation -:

Given :

Diameter of the semicircle

Need to find :

Perimeter

Solution :

[tex] \small \blue {\underline {\underline{{ \orange{\rm{ First \: we \: need \: to \: calculate \: the \: radius \: of \: the \: semicircle }}}}}}[/tex]

We know,

[tex] \large \star \: \: \large \underline{\boxed{ \rm{ Radius = \dfrac{Diameter}{2}}}}[/tex]

[tex] \small\rm{ Radius = \dfrac{6}{2} = 3 \: yards}[/tex]

[tex] \small{ \underline{ \underline{\rm \red{ Now \: we \: will \: calculate \: the \: perimeter \: of \: the \: semicircle }}}}[/tex]

We know,

[tex] \large\star \: \: \large \underline{\boxed{ \rm{ Perimeter_{(semicircle)} = πr + 2r}}}[/tex]

Where,

r stand for radiusAssuming π as 3.14

Substituting the values we get

[tex] \small\bf{ Perimeter_{(semicircle)} = 3.14 × 3 + (2 × 3)}[/tex]

[tex] \small\rm{ Perimeter_{(semicircle)} = 9.42 \: + 6}[/tex]

[tex] \small\boxed{ \rm{ Perimeter_{(semicircle)} = 15.42 \: yards}}[/tex]

[tex] \rule{92mm}{3pt}[/tex]

SOOO CLOSEE TO BEING DONEEEE helppppp

Answers

[tex]423 \times 10 {}^{2} [/tex]

[tex]2 \times 10 {}^{3} [/tex]

[tex]92 \times 10 {}^{5} [/tex]

[tex]4 \times 10 {}^{3} [/tex]

[tex]80 \times 10 {}^{6} = 8 \times 10 {}^{7} [/tex]

[tex]32 \times 10 {}^{9} [/tex]

Answer:

4.23*10^4

2*10^3

9.2*10^7

4*10^3

8*10^7

3.2*10^10

The price of a train ticket consists of an initial fee of $5dollar sign, 5 plus a fee of $2.75dollar sign, 2, point, 75 per stop. Julia has $21 dollar sign, 21 and would like to travel 50 kilometers. She wants to know the largest number of stops she can afford to buy on a ticket.

Answers

Answer:

17 stops on 1 ticket

Step-by-step explanation:

Answer:

17 stops on 1 ticket

Step-by-step explanation:

The half-life of a particular radioactive substance is 10 seconds. If you started with 100 grams of this substance, how much of it would remain after 60 seconds?

Answers

Answer:
100(1-0.50)^6
remaining amount is:

1.56

There are 1.5625 grams of the radioactive substance that would remain after 60 seconds.

What is an exponent?

The exponent of a number represents the total time required to multiply that number. 8 8 8 may be stated as 83 since 8 is multiplied by itself three times. In this case, 3 is the 'exponent' or 'power' that indicates how many times 8 is multiplied by itself, and 8 is the 'base' that represents the integer being multiplied.

The exponent is given as:

y = a (1 - r)ˣ

As per the question, we have

a = 100, and r = 0.50 and x = 6

Substitute the known values in the above formula, and we get

y = 100 × (1-0.50)⁶

y = 100 × (0.50)⁶

y = 100 × 0.015625

Apply the multiplication operation, a

y = 1.5625

So, after 60 seconds, 1.5625 grams of the radioactive substance would remain.

Learn more about the exponent here:

brainly.com/question/5497425

#SPJ2

Factorise x squared - 5x - 6

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

(x + 1)(x - 6)

Step-by-step explanation:

We can factor x^2 - 5x - 6 using grouping:

x^2 - 5x - 6x^2 - 6x + x - 6x (x - 6) + (x - 6)(x + 1)(x - 6)

Hope this helps!!

Select the reason that best supports Statement 7 in the given proof.

Answers

Answer:

the guy above if right it is D

Step-by-step explanation:

I did the work on Acellus and pick D IT GAVE ME A CHECK MARK

The reason that supports the statement 7 in the given proof is D. Subtraction property of equality.

What is Subtraction property of equality?

Subtraction property of equality is defined as, if an equation is of the form,

a = b,

then any number subtracted from both sides makes the equation same.

a - c = b - c

Here, given a proof for the value of x.

In the 6th step, by substitution,

55 = 5x + 10

This is an equation.

We need term in x on one side and a constant term on other side.

For that, if we subtract both sides by 10,

55 - 10 = 5x + 10 - 10

45 = 5x

So here the subtraction property of equality is used.

Hence the correct option is D.

Learn more about Subtraction Property of Equality here :

https://brainly.com/question/9070018

#SPJ2

A car goes 54 miles on 3 gallons of gas.

How many miles does the car go on 8 gallons of gas?

Answers

3 gallons => 54 miles

so

1 gallon => 54 : 3 = 18 miles

then

8 gallons => 18x 8= 144 miles

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