MATHEMATICS MIDDLE SCHOOL

Use the squared identities to simplify sin^2x cos^2x

Answers

Answer 1

Answer:

Answer:

$(1-cos^2(2x))/(4)$

Step-by-step explanation:

We have the following expression

$sin^2x *cos^2x$

Whe know that:

$sin^2(x) = (1-cos(2x))/(2)\n\ncos^2(x)=(1+cos(2x))/(2)$

Now replace these equations in the main expression and simplify

$((1-cos(2x))/(2))*((1+cos(2x))/(2))$

$(((1-cos(2x))(1+cos(2x)))/(4))$

Apply the following property

$(a + b) (a-b) = a ^ 2 -b ^ 2$

Then

$(((1-cos(2x))(1+cos(2x)))/(4))=(1^2-cos^2(2x))/(4)$

Finally:

$(((1-cos(2x))(1+cos(2x)))/(4))=(1-cos^2(2x))/(4)$

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kurt cut pizzas into wedges measuring 40 degrees. If each person eats one piece of pizza, how many people could he feed with two whole pizzas

Answers

18 people. First of all you meed to find out the amount of wedges you can make. Then you add all the amounts up getting 18.

mrs . Nunez is correcting math test she corrects 7 test before school, and 5 test after school . if each test takes her 1/5 hour to correct how long will it take mrs Nunez to correct the test

Answers

7+5=12, the total tests she has to grade.
So that's 1/5*12=2.4 hrs.

She corrects 7+5 tests in total.

Each test = 0.2 hours to correct.

12x0.2= 2.4

It will take her 2.4 hours to correct all the tests

A store has thirty-five diet sodas, which is seven times the number of regular sodas they have. How many regular sodas do they have?

Answers

35/7=5 regular sodas

They have 5 regular sodas.

Here is an equation that you can use to solve this problem:
35 = 7 * x

The first step is to use inverse operations and divide both sides by 7, which gives you this.
5 = x

So, the answer is five. Good luck, and if you need any other answers, be sure to tell me!

11 c 5 mi(2c) mi(2c 1) mi(4c 2) mi

Answers

The answer would be 3c + 8.

First you add the 3 other sides which is adds up to 8c + 3. Then subtract that by the perimeter( 11c + 5 ). Your answer is 3c + 8.

The exact value of cos 13pi/8 is

Answers

Answer:

sqt root 2-sqt root 2/4

Step-by-step explanation:

Answer:

square root of 2- square root of 2 all over 4

Step-by-step explanation:

The distance between the jones house and the smith house is 96 feet.How many yards is that?

Answers

3 ft = 1 yd
96/3 = 32
Answer: 32 yds

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