Identities in maths 4sin30°cos45° What is the answer?

Answers

Answer 1

Answer:

[tex]4*1/2*\sqrt{2} /2=\sqrt{2}[/tex]

Step-by-step explanation:


Related Questions

The Math 123 book includes about 230 pages (not including the back parts of the book). If you aim to complete 65% of all the pages, how many should you finish?

Answers

Answer: 150 pages

Step-by-step explanation:

I usually just multiply the number by the percentage and it works out just fine :)

Rochelle knows that the music on her computer is stored in the form of numbers. Which hardware component processes these numbers into a form that her speakers can play as music?

control unit
random access memory
monitor
ALU

Answers

Answer:

ALU: arithmetic logic unit

Step-by-step explanation:

ALU is the part of a computer processor (CPU) that carries out arithmetic and logic operations on the operands in computer instruction words

Find the general solution of the homogeneous system below. Give your answer as a vector.
x1 + 2x2 - 3x3 = 0
4x1 + 7x2 - 9x3 = 0
-x1 - 3x2 + 6x3 = 0

Answers

Answer:

Step-by-step explanation:

Given the system of homogeneous equations

x1 + 2x2 - 3x3 = 0  ................. 1

4x1 + 7x2 - 9x3 = 0 ................... 2

-x1 - 3x2 + 6x3 = 0..................... 3

First we will reduce the equation to two equations and two unknowns;

add equation 1 and 3;

2x2-3x2 +(-3x3+6x3) = 0

-x2 + 3x3 = 0

x2 = 3x3 .......... 4

Multiply equation 3 by 4 and add to equation 2;

equation 3 * 4 will give;

-4x1 - 12x2 + 24x3 = 0..................... 5

add equation 5 to equation 2;

7x2-12x2-9x3+24x3 = 0

-5x2 - 15x3 = 0 .......... 6

5x2 = 15x3

x2 = 3x3

Let x2 = k

From equation 4;

k = 3x3

x3 = k/3

substitute x2 = k and x3 = k/3 into equation 1 to get x1 in terms of k

From 1, x1 + 2x2 - 3x3 = 0

x1+2k-3(k/3) = 0

x1 +2k-k = 0

x1 +k = 0

x1 = -k

Writing the answer in vector form will give (x1. x2. x3) = (-k, k, k/3)

k(-1, 1, 1/3)

Hence the answer to the system of equation in vector form is k(-1, 1, 1/3) where k is any constant.

Camila is seamstress and is creating a wedding dresses. She has 144 yards of silk fabric. For each dress, the skirt requires 3 yards of silk and the bodice requires 1 yard of silk. How many dresses can she make with the amount of silk she has?

Answers

Answer:

either 36 or 24

Step-by-step explanation:

The number of dresses can she make with the amount of silk she has is 48.

Given that,

She has 144 yards of silk fabric. For each dress, the skirt requires 3 yards of silk and the bodice requires 1 yard of silk.

Based on the above information, the calculation is as follows:

[tex]= 144 \div 3[/tex]

= 48

Learn more: https://brainly.com/question/26115859?referrer=searchResults

7. Write the equation of the line that passes through the
point P (0,0), and is parallel to the line y = 7x - 8. Write
the answer in slope-intercept form.

Answers

Answer: y=7x

Step-by-step explanation:

To find the line that is parallel to the given line, we know that the slope will stay the same. Parallel lines NEVER touch or cross. Therefore, the slope MUST stay the same. All we have to do is plug in the given point to find the y-intercept.

y=7x+b

0=7(0)+b          [multiply]

b=0

Now, we know the equation is y=7x+0 or y=7x.

1). Use the same ratio as 16 people in 25 square feet to estimate the size of a
crowd that is 10 feet deep on both sides of the street standing along a 1-mile
section of a parade route.

Answers

Answer:

33,792 people

Step-by-step explanation:

The parade route is rectangular in nature. The area of the parade route will be expressed as:

Area = Length × Breadth

If the route is 10feet deep, the length of the route = 10feet

Is the section of the route is 1 mile, the width of the parade route = 1mile × 5280ft = 5280ft

Area of the parade route = 10×5280 = 52,800ft²

If 16 people in 25 square feet is used to estimate the size of a crowd, the number of a crowd in a 52800ft² parade route is expressed as;

25ft² = 16

52800ft² = x

Cross multiply

25×x = 16×52800

25x = 844,800

x = 844,800/25

x = 33,792

Hence there are 33,792 people on 1-mile section of a parade route that is 10ft deep.

Help ASAP plssssssssssssssssss

Answers

Answer:

18

Step-by-step explanation:

If the revenue function for a particular commodity is R(p) = −53p2 + 64p, what is the (linear) demand function q(p)?

Answers

The Demand Function would be as follows:

[tex]Q = 64 - 53p[/tex]

What is Demand Function?

This shows the relationship between Price & Quantity, represents Quantity as a function of price.

Revenue is the total receipts from sale, with the formula [tex]= Price[/tex] × [tex]Quantity[/tex]

So,

[tex]Quantity = Revenue / Price[/tex]

Hence, dividing the given revenue equation by P, we get

[tex]Q = (- 53p^2 + 64p )[/tex][tex]/ pQ = - 53p + 64[/tex] {Demand Function}

So, above-mentioned [tex]Q = 64 - 53p[/tex] is the Demand Function.

To learn more about Demand Function, refer https://brainly.com/question/23029589?referrer=searchResults

The projected number of people aged 65 and over in the U.S. population with Alzheimer's disease (in millions) is given byP(t) = −0.0002083t 3 + 0.0157t 2 – 0.093t + 5.2 (4 ≤ t ≤ 40);Where t is measured in years and t = 4 corresponds to the year 2014. This model does not claim validity for years 2051 and beyond. Nevertheless, the model does suggest that:

Answers

The missing part of the question is;

What is the projected number of people aged 65 and over with Alzheimer's disease in 2030 and in 2050

Answer:

In 2030, P(20) = 7.9536 (in millions)

In 2050, P(40) = 13.2688 (in millions)

Step-by-step explanation:

We are given that;

Number of people aged 65 and over in the U.S. population with Alzheimer's disease (in millions) as;

P(t) = −0.0002083t³ + 0.0157t² – 0.093t + 5.2 (4 ≤ t ≤ 40);

Where t is measured in years and t = 4 corresponds to the year 2014.

Now,

Since t = 4 represents 2014,therefore;

t = 20 would represent population in 2030

Thus in year 2030;

P(20) = −0.0002083(20)³ + 0.0157(20)² – 0.093(20) + 5.2

P(20) = 7.9536 (in millions)

Also, in year 2050, t will correspond to 40 years.

Thus;

P(40) = −0.0002083(40)³ + 0.0157(40)² – 0.093(40) + 5.2

P(40) = 13.2688 (in millions)

a number times 10 is equal to 28

Answers

Answer:

2.8

Step-by-step explanation:

2.8*10=28

Also, when you multiply 2.8 by 10, you can just move the decimal to the right once, giving you 28.

Which operation should you perform last in the expression 12 × 4^2?

Answers

Answer:

Multiplication

Step-by-step explanation:

Follow GEMDAS or PEMDAS. I would recommend GEMDAS. GEMDAS stands for Grouping symbols, exponents, multiply, divide, addition, subtraction. GO form the order G to S

How do u write 200+9+07+0.01 In written form

Answers

Answer:

297.01 In

Step-by-step explanation:

solve for x, UV and TV​

Answers

We know that TV = TU + UV. Let's plug the values from the picture into our equation.

x + 25 = 9 + 2x + 28.

Let's combine like terms on the right side.

x + 25 = 2x + 37

Subtract 37 and x from both sides.

-12 = x

TV = x + 25 = -12 + 25 = 13

UV = 2x + 28 = 2(-12) + 28 = -24 + 28 = 4

Answer:

.

Step-by-step explanation:

on the day of the test, Rebeccas instructor says that the test will be to attempt 25 vases

Answers

19.
Solve 75% of 25 and round to nearest whole number.

4z - 7y + 2 + 2y + 8y + 6z - 15

Answers

Answer: 3y + 10z - 13

Step-by-step explanation:

You combine like terms 4z and 6z which is 10z, then you combine 8y-7y+2y which is 3y, lastly you do 2-15 which is -13. So the simplified equation is 10z + 3y - 13!

I dont understand this​

Answers

Answer:

Nell's mom's

Step-by-step explanation:

That's a lot even if you devide, you can see the difference easier

mom= 30/2 = 15

dad = 65/5 = 13

The lesser milk the mother had made her chocolate more chocolatery, and you can see that she has a 0.2 more than the father

Answer:

The correct answer is Nell's mom.

Step-by-step explanation:

Nell's mom makes chocolate syrup with 30 ml for every chocolate syrup for every 2 ounces of milk.

Nell's dad adds 65 ml of chocolate syrup for every 5 ounces of milk.

To compare who makes a more chocolaty drink we need to have same amount of milk.

Least common multiple of 2 and 5 is given by 10.

Thus in 10 ounces of milk, Nell's mom adds 30 × 5 = 150 ml of chocolate syrup.

In 10 ounces of milk, Nell's dad adds 65 × 2 = 130 ml of chocolate syrup.

Thus on comparison we can say Nell's mom adds more chocolate syrup and hence makes a more chocolaty milk.

If f(x) = 4x – 2 and g(x) = 5x – 3, what is g(f(2))?

Answers

Step-by-step explanation:

f(2) = 4(2) - 2

= 8 - 2

= 6

g(f(2)) = g(6)

g(6) = 5(6) - 3

= 30 - 3

= 27

g(f(2)) = 27

6x + 8 = 62 slove for x

Answers

Answer:

4.428571429

Step-by-step explanation:

You have to do 8+6 then 62 divided by 14 and then thats what your x equals.

Answer:

x=9

Step-by-step explanation:

start with

6x+8=62

subtract 8 from each side

6x=54

divide each side by 6

x=9

(B^2)(B^4)
Answer choices
B^8
B^6
B^2
2b^6

Answers

Answer:

Step-by-step explanation:

(B^2)(B^4) = B^(2+4)= B^6

answer is B

a principal square root is always...

Answers

Answer:

a principal square root is always positive

Step-by-step explanation:

When you take a square root of a number, you get a positive and negative number

The principal square root is the positive number

True, this is the answer oof

how would i simplify this?

Answers

What’s the numbers to simply it?

HELP!!! Need Some Homework Help!

Answers

Answer:

( -4, 7 )

Step-by-step explanation:

The difference between (2,3) and (-1,5) is (-3,2)

Because (-3,2) is the length of half the line we need to add that figure to M to get point S

(-1,5) plus (-3,2) is (-4,7)

what is the square root of 2/8 as a decimal

Answers

The square root is 0.5

PLEASEE HELPPP WOULD MARK BRAINLIST!!!

Which compound inequality is represented by the graph?

Answers

Answer:

The second one

Step-by-step explanation:

A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 162 pounds requires 216 milligrams of medicine.
What is the weight of a patient who requires 220 milligrams of medicine?

Answers

Answer:

It should be 176,

Step-by-step explanation:

hope this helps!

Which of these relations are functions?

Answers

It’s the first one, so you’re correct

Given below are a collection of scores on a spelling test: 5,6,10,8,3,5,9,8,7,4,6,5,3,7,9,5,6,4,5,6,7,5,4,6 a.) construct a frequency distribution b.) compute the relative frequencies. c.) compute the culmuative frequencies.

Answers

Compute relative frequencies

Susan is buying three different colors of tiles for her kitchen floor. She is buying 107 red tiles, and three times as many navy blue tiles as beige tiles. If susan buys 435 tilea all together, how many tiles of each color does susan buy?

Answers

You need to multiply 107x3 then that plus the 435- I think- hopefully that helps! :)

14 + 5(16 – 9) – 2 + 4 •12 =

Answers

The Answer Is 95

Hope This Help's

14 + 5(7) - 2 + (4x12) = 14 + 35 - 2 + 48 = 95

1/3^-1-1^-1/4^-1
find the value in the following equation ​

Answers

Answer:

-1/6

Step-by-step explanation:

= 1/3 (-1-1) x -1/4 (-1)

= 1/3 (-2) x 1/4

= -2/3 x 1/4

= -2\12

2 and 12 can cancel out each other.

so the answer will be.

= -1/6.

Other Questions
What is the slope of the line in the graph?-4/3-3/43/44/3 simplify (4x+1)(3+9x) need help can someone explain this problemplease. 1. Which of the following is an equation for theinverse of the function f(x)3x + 1 ? A hair gel is a mixture. Which of the following is true about hair gel? A. A chemical change is required to separate its mixed componentsB. A physical change can separate its mixed components.C. It is made up of millions of units of a single type of compound.D. It is made up of millions of atoms of a single element You are jogging with a velocity of 2 meters/second to the west, when you feel thirsty and stops to drink water after 5 seconds. First find your velocity the moment you stopped running. Then, find your acceleration during that motion. What are the units for acceleration? What is the direction of acceleration in this motion? Show your work. Which of the following ideas did the authordevelop the LEAST in this article about RuthBader Ginsburg? Do you think it was fair that smaller states had the same voting power as the bigger states? Why/Why not? Which best describes the US armed forces during World War II?O integratedO all whiteO mostly African AmericanO segregated por favor aydenme en esta ecuacin: 5x-3x=6x-8 why do people alter their environment Which sentence of the text highlights the southern states beliefs on the value of slavery Which of the following changes lead to a decrease in entropy?a. mixing of pure gasesb. sugar dissolving in coffeec. melting snowd. the sublimation (vaporization) of dry ice (solid carbon dioxide)e. halving the volume of a gas HELP ASAP Create a sentence quoting a speaker using correct punctuation and capitalization. when a solute is added to water does the water potential increase or decrease 20 POINTSwhat is a way that women participate in the objectification of women Solve for j.-12 + 6j = 7j All direct quotes need quotation marks. Group of answer choices True False Which statement is an example of scientific theory? A. Hummingbirds do not like the color white because they visit other colored flowers more often.B. The earth is the third planet from the sun and has one moon, which orbits earth. C. The amount of caffeine that affects a persons heart rate differs based on the persons age. D. All living organisms are composed of one or more cells, which came from pre-existing cells. Which of the following does the text argue is the most important quality for surviving in the North? morality adaptability cruelty loyalty