prove sin^2 π/6 + cos^2 π/3 - tan^2 π/4 = -1/2​

Answers

Answer 1

=(

2

1

)

2

+(

2

1

)

2

−1

2

=

2

−1

Therefore, L.H.S = R.H.S


Related Questions

HALP ASAP, also im in or going into 7th grade it only goes from 10th to 100??
which makes know sence

Answers

The answer is -5


It goes down by 2s so -10 then -8 then -6 then finally -5

in how many years will the interest of a sum of rs 3600 at the rate of 5.5% per year be rs 594?​

Answers

Answer:

In 3 years, the interest of a sum of rs 3600 at the rate of 5.5% per year be Rs 594.

Step-by-step explanation:

T = ?

R = 5.5%

P = Rs 3600

I = Rs 594

so

T = (I×100)/(P×R)

or, T = (594×100)/(3600×5.5)

or, T = 59400/19800

so, T = 3 yrs

what is the solution to the equation below sqrt x+3 = x-3
A. 5
B. 6
C. 4
D. 3

Answers

Answer:

The value of x = 6

Step-by-step explanation:

Given:

√x + 3 = x - 3

Find:

The value of x

Computation:

Given expression

√x + 3 = x - 3

Squaring both side

(√x + 3)² = (x - 3)²

x + 3 = x² + 3² - (2)(x)(3)

x + 3 = x² + 9 - 6x

x² + 9 - 6x - x - 3 = 0

x² + 7 - 5x = 0

x² - (6 + 1)x + 6 = 0

x² - 6x - x + 6 = 0

x(x - 6) -1(x - 6) = 0

(x - 6)(x - 1) = 0

x = 6 and x = 1

The value of x = 6

What is the value of x that makes l1||12?
A. 11.3
B. 14
C. 22
D. 10

Answers

Answer:

[tex](8x - 14) + (2x + 54) = 180 \\ 8x + 2x - 14 + 54 = 180 \\ 10x - 14 + 54 = 180 \\ 10x + 40 = 180 \\ 10x = 180 - 40 \\ 10x = 140 \\ x = \frac{140}{10} \\ x = 14[/tex]

Expand and Simplify
10a-(3a+7)

Answers

The answer would be 7(a - 1)

what is 2.9225 rounded to the nearest cent?

Answers

Answer:

2.92

Step-by-step explanation:

bvscscscscsccscd

Answer:

2.92

Is what I rounded

and hope it helps

A cylindrical roller is 4m long. Its diameter is 1.4m. How many metres does it travel in 500 revolution?​

Answers

Step-by-step explanation:

the answer is in the image above

(NECESITO PROCEDIMIENTO)
9x + 8 = 7x + 6

X= -1

X= 1/3

X= 1

Answers

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

[tex]9x+8=7x+6[/tex]

Keep the variables in the left side & rest in the left side:

[tex]9x-7x=6-8[/tex]

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

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

[tex]x=-1[/tex]

a) The nth term of a sequence is given by 3n + 5. Write down the first four terms of the sequence.​

Answers

If you plug in n = 1, then you get 3*n+5 = 3*1+5 = 3+5 = 8. So 8 is the first term.

Repeat for n = 2 and you should get 3n+5 = 3*2+5 = 6+5 = 11. Or simply add 3 to the last term 8 to get 3+8 = 11.

Repeat for n = 3 and n = 4 to get the third and fourth terms to be 14 and 17 respectively.

Answer: The first four terms are 8, 11, 14, 17

The price of an item changed from $175 to $150. Later, the price decreased to $125. Which of the two decreases was larger in percentage and how much is it?

Answers

Answer:

The second decrease is larger at 16 1/6% decrease

Step-by-step explanation:

175 to 150

Take the original price minus the new price divided by the original price

(175 -150) /175 =25/175 = 1/7 =.142857143 = 14.28 % decrease

150 to 125

Take the original price minus the new price divided by the original price

( 150-125)/150 = 25/150 = 1/6 =.16666 = 16 1/6 % decrease

The second decrease is larger at 16 1/6% decrease

what is the answer to this?

Answers

Answer:

x= -1, y = -1

Step-by-step explanation:

-16x +24y = -8

16x -8y = -8

16y = -16

y=-1

16x = -16

x = -1

Answer:

x = - 0.25 = - 1 / 4

y = 0.5 = 1 / 2

Step-by-step explanation:

4x + 6y = 2

Divide 2 on both sides,

2x + 3y = 1 ----> eq. 1

16x - 8y = - 8

Divide - 8 on both sides,

- 2x + y = 1 ----> eq. 2

Add eq. 1 and 2,

2x + 3y = 1

- 2x + y = 1

_________

0 + 4y = 2

4y = 2

y = 2 / 4

y = 1 / 2

y = 0.5

Substitute y = 0.5 in eq. 2,

- 2x + y = 1

- 2x + 0.5 = 1

- 2x = 1 - 0.5

- 2x = 0.5

x = 0.5 / - 2

x = - 0.25

The afternoon classes in a school begin at 1 PM
and end at 3:52 PM. There are 4 class periods
with 4 minutes between classes. How many
minutes are there in each class period?

Answers

Answer:

39 minutes

Step-by-step explanation:

Ok so first I found the difference between 1pm and 3:52 pm and it was 2 hours and 52 minutes

So then I took the 4 class periods and times it by for to see to total of minutes between class periods which was 16

Then I subtracted 16 for 52 to get 36 minutes

So now the time for class periods was 2.36 minutes

So I took that numbers and divided it by the 4 class periods and got 39 minutes.

Wow those are short class periods, mine are normally like an hour, but anyways hope this helped :). If I'm wrong please correct me. :)

There are 40 minutes in each class period if the afternoon classes in a school begin at 1 PM and end at 3:52 PM.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The afternoon classes in a school begin at 1 PM and end at 3:52 PM.

Duration of school = 2 hours and 52 minutes

Or

Duration of school = 172 hours

There are 4 class periods with 4 minutes between classes.

Duration of classes = 172 - 4(3)

Duration of classes = 172 - 12

Duration of classes = 160 minutes

Total minutes for each class period = 160/4 = 40 minutes

Thus, there are 40 minutes in each class period if the afternoon classes in a school begin at 1 PM and end at 3:52 PM.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest: 16; 17; 19; 20; 20; 21; 23; 24; 25; 25; 25; 26; 26; 27; 27; 27; 28; 29; 30; 32; 33; 33; 34; 35; 37; 39; 40. Calculate the mean, median and mode.

Answers

Answer: Mean = 27.33

Median = 27

Mode = 25 and 27

Step-by-step explanation:

1. Mean is the addition of all the numbers divided by how many numbers that are there.

Mean = (16 + 17 + 19 + 20 + 20 + 21 + 23 + 24 + 25 + 25 + 25 + 26 + 26 + 27 + 27 + 27 + 28 + 29 + 30 + 32 + 33 + 33 + 34 + 35 + 37 + 39 + 40) / 27

Mean = 738/27

Mean = 27.33

2. Median is the number in the middle in the ascending or descending other and this will be:

Median = 27/2 = 13.5 = 14th number = 27.

The median is 27.

3. Mode is the number that appears most and this will be 25 and 27 since they appear thrice which is the most times

Solve the equation P=s+t+r for s.

Answers

Answer:

[tex]\huge\boxed{\boxed{s=P-t-r}}[/tex]

Step-by-step explanation:

[tex]P=s+t+r\qquad|\text{subtract}\ t\ \text{and}\ r\ \text{from both sides}\\\\P-t-r=s+t+r-t-r\\\\P-t-r=s\Rightarrow\boxed{s=P-t-r}[/tex]

An alloy of copper and zinc which contains 5 grams of zinc. If 15 grams of zinc are added to this alloy, a new alloy is obtained in which the copper content has been reduced by 30% from the original. Find the initial mass of the alloy

Answers

Answer:

Initial mass = 25 grams

Step-by-step explanation:

[tex]\left(\frac{x}{x+20}\right)\:=\:\:\left(\frac{x}{x+5}\:-.3\:\right)[/tex]

x = 20 (mass of copper)

[tex]\frac{20}{20+5} = .8 = 80[/tex] percent

[tex]\\\frac{20}{20+15} = .5 = 50[/tex] percent  

The length of a rectangle is 3 times the width. The perimeter of the rectangle is 64 cm. Show the equation that would be used to find the dimensions of the rectangle.

Answers

Answer:

64 = 2(3x + x)

Step-by-step explanation:

Perimeter of the rectangle = 64 cm

Width of the rectangle = x

Length of the rectangle = 3x

Perimeter of a rectangle = 2(length + width)

The equation is

64 = 2(3x + x)

64 = 6x + 2x

64 = 8x

x = 64/8

x = 8 cm

Width of the rectangle = x = 8 cm

Length of the rectangle = 3x

= 3(8 cm)

= 24 cm


pllllllssssss helpooppppp

Answers

I am sorry but I don’t know how to do this.

Susie is paying $540.15 every month for her $150,000 mortgage. If this is a 30 year mortgage, how much interest will she pay over the 30 years of payments?

Answers

Answer:

17310.6

$540.15 multiply 30

because if they ask all in every month is 540.15

and she got 30 year

Susie will pay a total of $44,454 in interest over the 30 years of mortgage payments.

How to determine How much how much interest will she pay over the 30 years of payments

To determine the total interest Susie will pay over the 30 years of mortgage payments, we need to subtract the principal amount (the original loan amount) from the total amount she will pay over the 30 years.

First, let's calculate the total amount she will pay over the 30 years by multiplying her monthly payment by the number of months in 30 years:

Total amount paid = Monthly payment x Number of months

= $540.15 x (30 years x 12 months/year)

= $540.15 x 360

= $194,454

Next, we subtract the principal amount from the total amount paid to find the total interest paid:

Total interest paid = Total amount paid - Principal amount

= $194,454 - $150,000

= $44,454

Therefore, Susie will pay a total of $44,454 in interest over the 30 years of mortgage payments.

Learn more about interest at https://brainly.com/question/25793394

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Can someone please help! Thank you so much!

Answers

Answer:

a. 3x (150 degrees)

b. 9x (180 degrees)

c. 3x - 20 (220 degrees)

A shopkeeper bought two watches for rs. 400 . He sold them to gain 5 % on one and 5 % loss on other . Calculate his final gain or loss percent of the selling price of both watches is same . ​

Answers

Answer:

69

Step-by-step explanation:

1234567890

Simplify 3000x 35% /100

Answers

i’m sorry i really need points

what is the difference

Answers

Answer:

what is question of this you asked

Sally ha estado midiendo una flor para un proyecto científico. La flor ha crecido \dfrac{1}{2} 2 1 ​ start fraction, 1, divided by, 2, end fraction centímetro cada día y ha crecido un total de 222 centímetros desde que empezó a medirla.

Answers

1 is the right answer

Answer:

Step-by-step explanation:

ok bro la primera es

Question 3
1 pts
Students from Mr. Caldwell's Spanish class are saving money for a summer
trip to Barcelona, Spain. Each student needs to raise $1,080 to be able to
attend the trip. This amount represents an increase of 12.5% over the cost of
the trip last year. How much did the trip to Barcelona cost last year?
O $850
$960
$1,215
$1,030

Answers

Answer:

$960

Step-by-step explanation:

Let the original amount be = x

Percentage increase is equal to = 12.5%

final amount = original amount + increase

final amount = x + 0.125x

final amount = 1.125x

final amount = 1080 = 1.125x

and then solve for x

[tex]x = \frac{1080}{1.125} \\ \\ x = 960[/tex]

so in the end x is equal to $960

Solve the equation: 1080 = 1.25x

Please help!! I am literally in tears!!
Consider the function, y = - 13x +52. Find the inverse of the function by solving it for
x. Then, use the inverse to find a value of y such that x = 182.

Answers

Answer:

-10

Step-by-step explanation:

Inverse equation: x= -13y +52

simplify: y=-1/-13x + 4

Plug in for x: y= 1/-13 (182) +4

=   -10

Answer:

y = -10

Step-by-step explanation:

x = -13 y + 52

y = (x - 52)/-13

~~~~~~~~~~~~~~~~~~

y = (182 - 52)/-13

y = -10

An item on sale costs 80% of the original price. The original price was $41.​

Answers

Answer:

$32.80

Step-by-step explanation:

So you are trying to find out how much does the sale price cost?

Ok convert $41 into a decimal

$41 = $0.41

Then multiply 80% x $0.41

80 x $0.41 = 32.80

Answer:

$32.8

Step-by-step explanation:

Solve using a proportion

if 100%= $41 and 80% = x, then you cross multiply, and you get 100x = 41 (80), which would become 100x = 3280. Then you divide by 100 on both sides to get 32.8, which would be your answer!

Solve the system of equations.

Answers

Answer:

(-1,3) and (2,6)

Step-by-step explanation:

The solution to the system is where the two graphs intersect

The graphs intersect at x=-1 and y =3  and x = 2 y=6

(-1,3) and (2,6)

which of the following is the symbol for parallel lines AB and XY?

Answers

Answer

A is the symbol for parallel lines AB and XY.

Explanation

B shows that line segment AB and XY are parallel, because there are no arrows, and line segments do not extend forever.

C shows that ray AB and XY are parallel, because there is one arrow, and rays only extend on one point.

Only A shows that line AB and XY are parallel. Lines extend forever, the A shows that AB and XY are parallel, since there are arrows in both directions above AB and XY.

help please!! congruent figure

Answers

3x+4=72
3x=72-x-4
3x=68-x
4x=68
x=68/4
x=17

If F is conservative, find all potential functions f for F so that F = ∇f. (If F is not conservative, enter NOT CONSERVATIVE. Use C as an arbitrary constant.)

Answers

Answer: some parts of your question is missing below is the missing data

Determine if the given vector field F is conservative or not. F = −6e^y, (−6x + 3z + 9)e^y, 3e^y

answer:

F is conservative

F = -6xe^y + ( 33 + 9 ) e^y + C

Step-by-step explanation:

The Potential functions for F so that F = ∇f.

F = -6xe^y + ( 33 + 9 ) e^y + C

attached below is a detailed solution

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