what is the value of cos15 cos45 - sin15 sin45

please help me!

Answers

Answer 1

Answer:

1/2

Step-by-step explanation:

(Solving cos first)

= cos15 cos 45

= (√6 + √2)/4 * (√2) / 2

= (1 + √3) / 4

(solving sin)

= sin15 sin45

=  (√6 - √2)/4 * (√2) / 2

= (-1 + √3) / 4

(Subtracting both)

= (1 + √3) / 4 -  (-1 + √3) / 4

= 1/2

I hope my answer helps you.

Answer 2

Answer:

(solving sin)

= sin15 sin45

=  (√6 - √2)/4 * (√2) / 2

= (-1 + √3) / 4

(Subtracting both)

= (1 + √3) / 4 -  (-1 + √3) / 4

= 1/2

Step-by-step explanation:


Related Questions

Which of the following circumstances describes a proportional relationship?
Water flows from a hose into an empty 10 gallon bucket at a rate of 2 gallons per minute.
plumber is paid $50 per hour plus a $75 service charge.

The cost of renting a car is $45 for the first day and $20 per day for each additional day.

A student has $100 in a savings account and saves $5 per month for the next twelve months.

Answers

bStep-by-step explanation:

Help me please lots of points for right answer

Answers

Answer:

V=75π

Step-by-step explanation:

V= πr^2h

V=π(5)^2(3)

V=75π

The temperature of a hot steak starts at 140f and decreases at 5f per minute what will the temperature of this steak after a certain number of minutes

Answers

Answer:

T(m) = (140 - 5m)

Step-by-step explanation:

Given that :

Initial temperature, a = 140 F

Rate of decrease = 5 F per minute

Given a certain Number of minutes, m

Temperature, T after m minutes ;

Using the formula :

Final temperature = Initial temperature - 5*number of minutes)

T(m) = (140 - 5m)

Given that ; m = 10

T(10) = 140 - 5(10)

T(10) = 140 - 50

T(10) = 90 F

PLS HELP!!!
Find x M 13 P х 18° R .02 40 42.07 4.22​

Answers

just add them up EZZZZZZZZZZZ

What is the measure of ABC?

Answers

I am not absolutely sure but it should be 310

mAC equals to 50*2=100°
So the measure of ABC is:
360-100=260° (B)
I Hope this helped! Good luck ^^

Three friends were helping to push a car. If all three are pushing equally hard and the net force is 600N, how hard is each one pushing the car?

Answers

Answer:

One person is pushing the car in the net force of 200N

Step-by-step explanation:

600 divided by 3 (600 N in total, and 3 person pushing.)

Can someone pls help me I cannot figure it out

Answers

don’t click the persons answer above, it’s a hacking or finding your location website^^^^

If a scattergraph contains points that do not fall in a perfect line: Multiple Choice a straight line can still be used to approximate the relationship if a general linear trend can be discerned. the relationship between the variables is not good enough to warrant fitting a line to the data. this is an indication that there is no relationship whatsoever between the variables. the visual fit method and high-low methods should not be used, but least-squares regression can be used.

Answers

Answer:

a straight line can still be used to approximate the relationship if a general linear trend can be discerned.

Step-by-step explanation:

The correct option is - A straight line can still be used to approximate the relationship if a general linear trend can be discerned.

Reason -

If a scatter graph contains points that do not fall in a perfect line, then a straight line can still be used to approximate the relationship if a general linear trend can be discerned.

What type of association is there ??

Answers

Answer:

positive because the dot travel up away from the negative area

(6.1, 3.9) and (4.2,8.1) Estimate the midpoint of the points.​

Answers

Answer:

a

Step-by-step explanation:

[tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]

Please solve the question in the picture below.

Answers

Answer:

a

Step-by-step explanation:

because y=mx+b m =slope and b is the y intercept

Answer:

A. is the right answer

slope is 1.5 and y intercept is -2

K-12 ASSIGNMENT PLEASE HELP IF YOU HAVE DONE THIS (answers)

3. Sherelle and Venita’s grandmother said that one of the bags has a coin from 1916.
(a) What reasons might Sherelle give for saying that the 1916 coin is most likely in her bag?
(b) What reasons might Venita give for saying that the 1916 coin is most likely in her bag?
(c) Whose bag do you think is more likely to contain the 1916 coin? Explain your reasoning.

Answers

Answer:

What reasons might venita give for saying that the 1916 coin is most likely in her bag? Sherelle claims that she has 26 which is closer to 16 hence her chances are more.

Step-by-step explanation:

Find the area of the semicircle

Answers

Answer:

25.13 m

Step-by-step explanation:

pi r²÷2

pi 4²÷2=25.13

Find the perimeter of this complex figure

Answers

Answer:

38

Step-by-step explanation:

9 + 10 + 2 + 6 + (9 - 2) + (10 - 6) = 38

which of the following is a exponential function ?

Answers

The third one is exponential function

How to solve systems of inequalities

Answers

Answer:

Determine whether an ordered pair is a solution of a system of linear inequalities.

Solve a system of linear inequalities by graphing

Solve applications of systems of inequalities

You can use desmos

Step-by-step explanation:

Graph x>2 on a number line.

Solve the inequality 2a<5a+12.

Determine whether the ordered pair \left(3,\frac{1}{2}\right) is a solution to the system \left\{\begin{array}{c}x+2y=4\hfill \\ y=6x\hfill \end{array}.

Determine Whether an Ordered Pair is a Solution of a System of Linear Inequalities

The definition of a system of linear inequalities is very similar to the definition of a system of linear equations.

System of Linear Inequalities

Two or more linear inequalities grouped together form a system of linear inequalities.

A system of linear inequalities looks like a system of linear equations, but it has inequalities instead of equations. A system of two linear inequalities is shown below.

\left\{\begin{array}{c}x+4y\ge 10\hfill \\ 3x-2y<12\hfill \end{array}

To solve a system of linear inequalities, we will find values of the variables that are solutions to both inequalities. We solve the system by using the graphs of each inequality and show the solution as a graph. We will find the region on the plane that contains all ordered pairs \left(x,y\right) that make both inequalities true.

Solutions of a System of Linear Inequalities

Solutions of a system of linear inequalities are the values of the variables that make all the inequalities true.

The solution of a system of linear inequalities is shown as a shaded region in the x-y coordinate system that includes all the points whose ordered pairs make the inequalities true.

To determine if an ordered pair is a solution to a system of two inequalities, we substitute the values of the variables into each inequality. If the ordered pair makes both inequalities true, it is a solution to the system. s

Cynthia has earned $1200. She wants to spend $300 and put the rest into a savings
account that earns 5% simple interest. Assuming she makes no additional deposits or
withdrawals what will be the value of Cynthia's account after 48 months?
A) $180
B)$240
C)$720
D)$1080

Answers

Answer:

Incomplete problem, read the step-by-step.

Step-by-step explanation:

$1200-$300=$900

5% of $900 is $45

You didn't say if the 5% is per month or per year, if you want more help, comment on this answer the per year/whatever/month and then I'll help you further into this word problem.

Hope this helped! :)

ILL BRAINLIEST IF YOU GET IT RIGHT

PLEASE HELP ME FIND THE VALUE OF X

Answers

Answer:

x=60°

Step-by-step explanation:

x=x(vertically opposite angles)

Now,

x+120°=180°

x=180°-120°

x=60°

would it be written as



±a=11
or
a=±11

help

Answers

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

It would be written as a =± 11

PLZS ANSWER WILL GIVE BRAINEST

Answers

Answer:

x=50

Step-by-step explanation:

67=x+17

67-17=50

x=50

In which step did John first make a mistake?
look at photos

Answers

Answer:

John did not make a mistake

Step-by-step explanation:

he did everything correct

he didn’t make a mistake

13) Bill puts blueberries on his cereal
each morning. He used 16 ounces of
blueberries in 4 days. How many
ounces of blueberries does he put on
his cereal each day?

Answers

Answer:

4 Ounces

Step-by-step explanation:

Assuming he puts an equal amount of blueberries in each day. All you have to do here is divide the total (16) by how many groups you want to put it in(4 days in this question). 16 divided by 4 equals 4!

All the pizzas at Tony's Pizzeria cost the same per square centimetre
($8.99). How much does a small pizza cost? How much does a large
pizza?
Please give step by step answer

Answers

Click the link above

Draw a line through the point (2, 2) with a slope of 1. Draw a line through the point (1,−1) with a slope of 1.

Answers

Answer:

should look like this

Step-by-step explanation:

equations are y=x  and  y = -x if needed

The equation of the lines are y = x and y = x - 2

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept

The equation of a line passing through the point (2, 2) with a slope of 1 is:

[tex]y-y_1=m(x-x_1)\\\\y-2=1(x-2)\\\\y = x[/tex]

The equation of a line passing through the point (1, -1) with a slope of 1 is:

[tex]y-y_1=m(x-x_1)\\\\y-(-1)=1(x-1)\\\\y = x-2[/tex]

Therefore both lines have equation of y = x and y = x - 2. The graphs of the lines are attached.

Find out more at: https://brainly.com/question/1391192

Find an expression in its simplest form for the perimeter of this shape

Answers

Answer:

(18p + 18)

Explanation:

the perimeter of the shape is the sum of all its sides. we are given the individual lengths of all the sides except for the horizontal one at the bottom and the vertical one between (2p + 5) and (3p + 4), but they can easily be calculated using the other values.

the horizontal length at the bottom is the sum of (2p + 5) and (3p + 4), or (5p + 9).

the vertical length is the difference between 4p and 2p, which is 2p.

now, we can add all of these values together:

4p + (2p + 5) + 2p + (3p + 4) + 2p + (5p + 9)

= 4p + 2p + 2p + 3p + 2p + 5p + 5 + 4 + 9

= 18p + 18

i hope this helps! :D

How does the graph of f(x)=|x| compare with the graph of g(x) = 1/2|x| select all that apply

Answers

Answer:

I don't see the choices but both graphs are absolute value graphs. I think  g(x) = 1/2|x|  is the shrink of f(x)=|x|

NO LINKS FOR THE LAST TIME JUST HELP ANSWER THE QUESTION WITH A B C OR D WILL GIVE BRAINLIEST!!

Answers

Answer: letter b

Step-by-step explanation:

How much will the monthly payment be for a 2 year old used car that's is priced at 13995 of the current finance rate is 48 months at 4.36% ? You will finance the 8% tt&l and make a 30% down payment

Answers

Answer:that’s a tough one

Step-by-step explanations just need some credit on brainly

Newton's law of gravitation state that the force F of attraction between two bodies varies jointly as their masses M1 and M2 and inversely as the square of the distance between them. Two bodies whose centers are 500mi apart attract each other with a force of 15lb.What will be the force of attraction if their masses were tripled and the distance between their centers doubled?​

Answers

I really don’t know this answer I tried everything

List three integers that are between -22 and -10
PLEASE HELP ASAP

Answers

Answer:

-21, -20, -19, --18, -17, -16, -15, -14, -13, -12, -11

Step-by-step explanation:

There is no step by step explanation.

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