(sin30° + cos30°) – (sin 60° + cos60°)​

Answers

Answer 1

Answer:

0

Step-by-step explanation:

Sin 30° = ½

Cos 30° = √3/2

Sin 60° = √3/2

Cos 60° = ½

Therefore,

(½ + √3/2) - (√3/2 + ½)

[tex] \frac{1 + \sqrt[]{3} }{2} - \frac{ \sqrt{3 + 1} }{ 2 } [/tex]

[tex] \frac{1 + \sqrt{3} - \sqrt{3} - 1}{2} [/tex]

[tex] \frac{0 - 0}{2} [/tex]

Answer: 0

Answer 2

For more information on trigonometric refer to this link


Related Questions

Mr. Yueng graded his students’ math quizzes.
Students came up with four different answers when solving the equation x3 = 22.

Answers

Answer:

7.3*

Step-by-step explanation:

do the inverse:

22/3=7.3*

*=recurring

I dont know what this is no links please

Answers

Answer:

Hamm i think si r or q mm sorry if it's wrong

Step-by-step explanation:

I think the answer would be q

Solve the attached problem please

Answers

Answer:

41910.

Step-by-step explanation:

We can calculate this by first finding the sum for  k = 1 to 50 then subtracting the sum for k = 1 to 14.

We use the formula  (1/6)n(n+1)(2n+1)

So for 1 to 50 its 1/6 * 50* 51 * 101 = 42925

and for 1 to 14 it comes to 1/6*14*15*29 = 1015

So the answer is 41910.

the bus to Leeds departs every 36 mins and the bus to Manchester leaves every 45 mins they leave the station at 10am one morning what is the next time they will leave at the same time

Answers

Answer:

1 pm

Step-by-step explanation:

We have to find their LCM, or least common multiple

Multiples of 36: 36, 72, 108, 144, 180, 216, ......

Multiples of 45: 45, 90, 135, 180, ....

180 mins is their LCM.

180 mins = 3 hours

10am + 3hours = 1 pm

-Chetan K

What percentage of goldfish will have lengths between 4. 6 inches and 9. 4 inches? 34% 68% 95% 99. 7%.

Answers

Using the Empirical Rule, it is found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

The Empirical Rule states that, for a normal variable:

Approximately 68% of the measures are within 1 standard deviation of the mean. Approximately 95% of the measures are within 2 standard deviations of the mean. Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem:

The mean is of 7 inches.The standard deviation is of 1.2 inches.

4.6 = 7 - 2(1.2)

9.4 = 7 + 2(1.2)

Within 2 standard deviations of the mean, hence, 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

A similar problem is given at https://brainly.com/question/24537145

kevin sells beaded necklaces. Each large necklace sells for $5.70 and each small necklace sells for $4.60. How much will she earn from selling 5 large necklaces and 6 small necklace?

Answers

Answer:

$56.10

Step-by-step explanation:

The first step is to multiply the values.

28.50 for large.

27.60 for small.

Add them together.

You get 56.10.

Answer/Step-by-step explanation:

Given:

$5.70= Large necklace

$4.60 = Small necklace

To Find:

How much will Kevin earn from selling 5 large necklaces and 6 small necklace?

Solution:

To Find how much Kevin will earn from selling 5 large necklaces/6 Small necklace...

Multiply 5.70 by 5 and 4.60 by 6.

5.70 x 5 = 28.5

4.60 x 6 = 27.6

Hence, Kevin will earn $28.5 from selling 5 large necklaces and 27.6 from selling 6 small necklaces.

To Find all Kevin earn add both together = 56.10

Therefore Kevin earn $56.10 altogether.

If Lucy runs 1 mile in 6
minutes, how many miles
will she run in 23 minutes?

Answers

3 and 1/8 of a mile

please help me solve this problem.

Answers

Answer:

a=36

Step-by-step explanation:

The given angles are corresponding

2a+3a=180

5a=180

a=180/5=36

Find the perimeter. Simplify the answer.

Answers

Answer:

21u-26

Remember to add like terms

Reduce the fraction to lowest terms 16/24

Answers

Answer:

2/3 is the anwer.

Step-by-step explanation:

2/3 is the answer

Step by step explanation:

mike drove 10 miles in 30 minutes, what's the average speed in miles per hour

Answers

Mike is driving 20 miles per hour

If he is driving 10 miles in 30 mins
(1/2 an hour) if you times both by two it tells you the MPH that Mike is driving.

Can someone answer this question real quick please?

Answers

Answer:

open circle btw

Step-by-step explanation:

step 1: go to the right where the 3 is

step 2: go to the little dash the 1st one on the right of the 3

step 3: circle the dash and make an arrow going to the right

Rearrange the numbers below from least to greatest


34.039 32.94 34.198 32.102 33.6

epic


PLSSSSS HELP-

Answers

Answer:

Least ------> Greatest

32.102, 32.94, 33.6, 34.039, 34.198

Answer:

32.102, 32.94, 33.6, 34.039, 34.198

Step-by-step explanation:

34.039, 32.94, 34.198, 32.102, 33.6

Rearrange:

34.198 > 34.039

33.6 > 32.94 > 32.102

New list: 32.102, 32.94, 33.6, 34.039, 34.198

-Chetan K

Select all statements that are true about the triangles.

Figure ABCD with diagonal BC, sides AB and DC are congruent, angle A is congruent to angle D and sides AC and DB are congruent.
Group of answer choices

Triangles ABC and BCD are congruent by the Angle-Side-Angle Triangle Congruence Theorem.

Triangles ABC and DCB are congruent by the Angle-Angle Triangle Congruence Theorem.

Triangles ABC and DCB are congruent by the Side-Side-Side Triangle Congruence Theorem.

Triangles ABC and DCB are congruent by the Side-Angle-Side Triangle Congruence Theorem.

Triangles ABC and BCD are congruent by the Side-Side-Side Triangle Congruence Theorem.

There is not enough information to determine if the triangles are congruent

Answers

Answer:

Triangle ABC and BCD are congruent by the side side side triangle congruence theorem

Factor the polynomial 49n^2+168n+144

Answers

Answer:

(7n+12)^2 or (7n+12)(7n+12)

Step-by-step explanation:

Answer:

(7n+12)^2    or     (7n+12) (7n+12)

Step-by-step explanation:

Both answers are the same thing it's just shortened with the first equation.

-1.2= y/2.4 -1.7
Solve for y

Answers

[tex]{\huge{\boxed{\sf{Question}}[/tex]

[tex]-1.2= y\div2.4 -1.7[/tex]

Solve for y

[tex]{\huge{\boxed{\sf{Answer\:with\:explanation }}}[/tex]

let's put our equation first

[tex]-1.2= y\div2.4 -1.7[/tex]

Flip the equation

[tex]y\div2.4-1.7=-1.2[/tex]

Now follow the rule of [tex]BOMDAS/PEMDAS[/tex]

[tex]{\huge{\boxed{\sf{BOMDAS }}}[/tex]

BracketsOf multiplicationDivisionAdditionSubtraction

[tex]{\huge{\boxed{\sf{PEMDAS}}}[/tex]

ParenthesisExponentsMultiplicationDivisionAdditionSubtraction

_________________________

[tex]{\huge{\boxed{\sf{Solve\:the\:equation}}}[/tex]

_________________________

[tex]y\div2.4-1.7=-1.2[/tex]

[tex]{\underline{simplify}}[/tex]

[tex]0.416667y-1.7=-1.2[/tex]

add [tex]1.7[/tex] to both sides

[tex]0.416667y=0.5[/tex]

Divide both sides by [tex]0.416667[/tex]

[tex]y=1.2[/tex]

[tex]{\huge{\boxed{\sf{Answer}}}[/tex]

[tex]y[/tex] would equal [tex]1.2[/tex]

equation of the line that passes through the point (4,–5) and is perpendicular to the line y=1/3x+5

Answers

Answer:

y=1/3x+5 hope it helps you

Brian, Pip and Sara share some sweets in the ratio 4:2:1. Brian gets 45 more sweets than Sara. How many sweets are there altogether?

Answers

Answer:

105 sweets

Step-by-step explanation:

4×15 = 60

2×15=30

1×15=15

60-15 =45

60+30+15=105

GEOMETRY QUESTION W PICTURE

Answers

Answer:

R

Step-by-step explanation:

E is congruent to R because of angle stuff

A queen-sized mattress is 20 inches longer than it is wide. A king-sized mattress is
16 inches wider that the queen-sized mattress but has the same length. The area
of the king sided mattress is 1,280 square inches more than that of the
queen-sized mattress. Determine the dimensions (length and width) of both the
king-sized and queen sized mattresses.

Answers

Answer:

queen's width = 60 in

queen's length = 80 in

king's width = 76 in

king's length = 80 in

Step-by-step explanation:

-queen's wide = ???

-same length = queen's wide + 20

king size:

-king's wide = queen's wide + 16

-same length = queen's wide + 20

queen's area = x

king's area = x + 1280

area = width * length

let's call queen's width and king's width "qw" and "kw" respectively

let's call queen's length and king's length "ql" and "kl" respectively

Q area:

qw * (qw + 20)

qw² + 20qw = x

K area:

(qw + 16) * (qw + 20) = x + 1280

qw² + 36qw + 320 = qw² + 20qw + 1280

qw² - qw² + 36qw - 20qw = 1280 - 320

16qw = 960

qw = 960 / 16

qw = 60

ql = 60 + 20

ql = 80

kw = 60 + 16

kw = 76

kl = ql

kl = 80

What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?

y = One-fifthx + 4
y = One-fifthx + Twelve-fifths
y = –5x + 4
y = –5x + Twelve-fifths

Answers

Answer:

y = 1/5x + 12/5

Step-by-step explanation:

First find the slope of the given line

m = ( y2-y1)/(x2-x1)

m =( -3- -4)/(0- -5)

   (-3+4) /(0+5)

    1/5

Parallel lines have the same slope

Using point slope form of a line

y-y1 = m(x-x1)

y - 2 = 1/5(x--2)

y -2 = 1/5(x+2)

Distribute

y-2 = 1/5x +2/5

Add 2 to each side

y-2+2 = 1/5x + 2/5 + 2

y = 1/5x + 2/5 + 10/5

y = 1/5x + 12/5

Answer:

B. y = 1/5x + 12/5

What is the measure of _____?​

Answers

Answer:

53°

Step-by-step explanation:

Angle ABE = 90°

Angle CBE = 37° (opposite angle)

90 - 37 = 53°

Which is the graph of the equation y+2=−12(x−4)?

Answers

Answer:

Step-by-step explanation:

y+2 = -12(x-4)

y=-12x+48-2

y = -12x+46

Draw a graph with the points (1,34) and (3,10)

Two ice cream machines make a total of 320 gallons in a certain amount of time. working together for the same length of time how many gallons of ice-cream can each number of machines make?
(a) 7 ice-cream machines

Answers

Answer:

7 ice cream machines can make 1,120 gallons of ice cream

Step-by-step explanation:

Divide 320 by 2

multiply 160 by 7

you should get 1,120

7 ice-cream machines makes 1120 gallons of ice-cream.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, two ice cream machines make a total of 320 gallons in a certain amount of time.

Here, quantity of ice cream made by 1 machine =320/2

= 160 gallons

Now, 7 ice-cream machines makes

160×7= 1120 gallons

Therefore, 7 ice-cream machines makes 1120 gallons of ice-cream.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

3 shirts for 9.99 2 pairs of shorts for 14.95 a bathing suit for 24.50 the sales tax was 7% how much did she spend in all ?​

Answers

Answer:

If a shirt is on sale for 50% off, and you have another offer that gives you an "additional 20% off the sale price", does that mean you get a total of 70% off? Not usually. If the shirt was $20, then the SALE price would be $10 and the additional 20% would apply to the SALE price of $10 instead of the original price of $20. This isn't too bad when the sales are nice even percentages, but when it gets more complicated, you can use this calculator to find out the final cost (sales tax not included).Step-by-step explanation:

Combining like terms with neg
Combine the like terms to create an equivalent expression:
--3x – 6+ (-1)

Answers

Answer:

3x−7

Step-by-step explanation:

3x – 6+ (-1)

3x + (-7)

Data will be collected on the following variables. Which variable is most likely to be approximated by a normal model?

Answers

You forgot to add some information

A mural's height is 2 1/4
meters. Which of the following is equivalent to 2 1/4 meters? ​

Answers

Answer:

you didnt give any options

4, 3.7, 3.4, 3.1, ____, ____, ____ what are the next terms

Answers

Answer:

the next terms are 2.8 , 2.5 and 2.2

Work out the equation of
the line that goes through
(3, 2) and (-1, 10)

Answers

Answer:

[tex]The\,\,equation\,\,will\,\,be\,\,2x+y=8[/tex]

Step-by-step explanation:

Let, A=(3,2)

      B=(-1,10)

So, The equation will be

[tex]\frac{x-x_{1} }{x_{1} -x_{2} } =\frac{y-y_{1} }{y_{1} -y_{2} } \\=>\frac{x-3 }{3-(-1) } =\frac{y-2 }{2-10} \\=>\frac{x-3 }{4} =\frac{y-2 }{-8}\\=>-8x+24=4y-8\\=>8x+4y=32\\=>2x+y=8[/tex]

Hope you have understood this.....            

ask me if you have any confusion.....            

if you liked it pls mark it as the brainliest

Answer:

y = - 2x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 1, 10 )

m = [tex]\frac{10-2}{-1-3}[/tex] = [tex]\frac{8}{-4}[/tex] = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 2 )

2 = - 6 + c ⇒ c = 2 + 6 = 8

y = - 2x + 8 ← equation of line

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