MATHEMATICS MIDDLE SCHOOL

Cos^2a=cos^2a-sin^2a for all values of a.

Answers

Answer 1

Answer:

Step-by-step explanation:

$cos2a=cos^2a-sin^2a$

Lets derive this equation,

we can write ,

$cos2a= cos(a+a)$

going by the identity,

$cos(a+b)= cosa cosb - sina sinb$

using the identity ,

$cos(a+a)= cosacosa-sinasina$ .................(1)

After simplification of equation no.1 we get -

$cos(2a)=cos^2a-sin^2a$ ............... (for any value of a)

Hence the equation is proved for every value of a.

Answer 2

Answer:

its true besties

Step-by-step explanation:

just got it correct on apx

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Martina walked 3/4 of a mile in 2/5 of an hour. At this rate, how far can Martina walk in one hour?

Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Lou's car had 5.9 gallons in the 13-gallon tank on the coldest day of the year. Lou filled the tank with gas that cost $3.80 per gallon. How much did Lou spend on gas?

Answers

Lou spends the total amount would be $26.98 on gas which is determined by subtracting 13 gallons and 5.9 gallons and multiplying the result by $3.80.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

The following information is provided in the problem :

Lou topped up the tank with $3.80 per gallon of petrol.

Lou's car's 13-gallon tank held 5.9 gallons.

If he filled the tank, you can determine the total amount of money Lou spent by subtracting 13 gallons and 5.9 gallons and multiplying the result by $3.80.

So the total amount would be:

⇒ (13 - 5.9)(3.80)

⇒ (7.1)(3.80)

⇒ 26.98.

Therefore, the total amount would be $26.98

Learn more about Arithmetic operations here:

brainly.com/question/25834626

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How do you think you could represent the number 2,300 as a number times a multiple of 10? How do you think you could represent the number 2,300 as a number times 10 to some exponent? How would you describe the relationship between the two representations? plzz helppp

Answers

The number 2.3 is the coefficient, the number 10 is the base while the number 3 is the exponent.

In the scientific notation, a number is written followed b an exponent. It is necessary to note that the scientific notation is used to reduce the size of digits to something manageable.

The number 2,300 can best be represented as a number times 10 to some exponent in the manner 2.3 × 10^3. The number 2.3 is the coefficient, the number 10 is the base while the number 3 is the exponent.

Learn more about scientific notation:brainly.com/question/1719099

In common scientific notation, any nonzero quantity can be expressed in two parts: acoefficient whose absolute value is greater than or equal to 1 but less than 10, and a power of 10 by which the coefficient is multiplied. In some writings, the coefficients are closer to zero by one order of magnitude. In this scheme, any nonzero quantity is expressed in two parts: a coefficient whose absolute value is greater than or equal to 0.1 but less than 1, and a power of 10 by which the coefficient is multiplied. The quantity zero is denoted as 0 unless precision is demanded, in which case the requisite number of significant digits are written out -- for example, 0.00000.

8x + 4 = 44
What is x?

Test

Answers

Because :

rearrange 8 × x + 4 - (44) = 0

Step one: 8x - 40 = 8 × ( x - 5)

Step 2 : Solve 8 = 0

Step 2 (part 2) : Solve x - 5 = 0

So, your answer would be x= 5

8x = 44 -4
8x = 40
x = 40/8
x = 5

What is a quadrilateral with 1 pair of perpendicular sides?

Answers

A Trapeziod or a trapezum , depending on what country you live in.

A trapezoid because it only has 1 pair.

Which is Equal to 82%:18/100

19/50

41/50

Or 83/100

Thx :)

Answers

the answer is 41/50 because if you solve it, 41/50=0.82. Since it is a percentage, you multiply the answer, 0.82, by 100 and you get 82. hope that helped :)

The price of a motorbike is $1,500.How much do you need to pay if you get a 10% discount

Answers

Answer:

How much to pay after getting a 10% discount = $1,350

Step-by-step explanation:

Discount simply mean reduction in prices of something in a given percentage of its actual price.

So, how much to pay after getting a 10% discount will be = actual price - discount

Where discount = discount percentage * actual price.

Since we know:

Actual price of the motorbike = $1,500

Discount = 10% of actual price

Discount = 10% of 1500 = 10/100 * 1500

Discount = 150

how much to pay after getting a 10% discount = 1500 - 150 = $1,350

Hi there, first, we mutliply 1,500 by 10%, 10%=0.1, 1,500*1/10=1,500/10=150, we subtract 1,500 from 150, 1,500-150=1,350. Now, we need to find out what is 30% from 1,350, 1,350*30%=1,350*30/100=1,350*3/10=4,050/10=405. Finally, we subtract 1,350 from 405, 1,350-405=945. Therefore, the answer is $945.

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