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3 years ago

1+sin^2 x = 2-cos^2 x

Mathematics

1 answer:

Alinara [238K]3 years ago

3 0

1+sin²x=2-cos²x
Remenber: sin²x+cos²x=1 ⇒sin²x=1-cos²x

1+sin²x=1+(1-cos²x)=2-cos² x (this is true)

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Arrange the expressions below in order from least to greatest. place the least at the top and greatest at the bottom. ( 72 ÷ 8 )

Nikitich [7]

The expressions in order from least to greatest 72 / 8 - 2 x (3 + 1), (72 / 8) - 2 x 3 + 1, 72 / (8 - 2) x 3 + 1 and 72 / (8 - 2) x (3 + 1).

<h3>What is BODMAS?</h3>

BODMAS stands for B - Bracket, O - order of Power, D - Division, M - Multiplication, A - Addition, and S - Subtraction.

To Arrange the expressions below in order from least to greatest. place the least at the top and the greatest at the bottom

72 / 8 - 2 x (3 + 1) equals 1

(72 / 8) - 2 x 3 + 1 equals 4

72 / (8 - 2) x 3 + 1 equals 37

72 / (8 - 2) x (3 + 1) equals 48

Thus, The expressions in order from least to greatest 72 / 8 - 2 x (3 + 1), (72 / 8) - 2 x 3 + 1, 72 / (8 - 2) x 3 + 1 and 72 / (8 - 2) x (3 + 1).

Learn more about BODMAS;

brainly.com/question/23827397

3 0

2 years ago

Follow ALL instructions for this assignment. In 3-5 sentences answer the question: What does the word similar mean and how does

vova2212 [387]

Answer:

the word similar means when to things are alike, it compares to congruent because congruent means thing are in harmony.

Things I would say are similar is a blanket and a sheet because they both provide coverage and warmth.

If I said things are similar it is because they are alike in meanings, or appearence.

I would use similar over congruent because congruent isn't a word you hear often. When you do hear it is mostly used to talk about angles and lines.

8 0

3 years ago

A piece of wire 40 cm long is to be cut into two pieces. One piece will be bent to form a circle and; the other will be bent to

Brums [2.3K]

<h3>The perimeter of circle = 17.6 cm</h3><h3>Perimeter of square = 22.4 cm</h3>

Step-by-step explanation:

The total length of the wire = 40 cm

Let us assume the circumference of the circle = k cm

So, the circumference of the square = ( 40 - k) cm

Now,as circumference of circle = 2πR

⇒2πR = k cm or, R = $(\frac{k}{2\pi})$

Area of the circle = πR²

or, A = $\pi (\frac{k}{2\pi} )^2$

$= \pi \times (\frac{k^2}{(2\pi)^2} ) = \frac{k^2}{4 \pi} \\\implies A = \frac{k^2}{4 \pi}$ ....... (1)

Similarly , perimeter of square = 4 x Side

⇒ 4 x Side = ( 40 - k) cm ⇒ S = $(\frac{40 - k}{4} )$

Area of the square = (Side)² = $(\frac{40 - k}{4} ) ^2$

Solving, we get: $A = \frac{1600 + k^2 - 80 k}{16}$ ....... (1)

So, combining (1) and (2), total area A is

$A = (\frac{k^2}{4 \pi} ) + \frac{k^2 + 1600 - 80 k }{16}$

or, we get: A = 0.07962 k² + 0.0625 k² + 100 - 5 k

A = 0.1422 k² - 5 k + 100

For axis of symmetry : $k = (\frac{-b}{2a} ) = (-\frac{-5}{2(0.1420}) = 17.6$

⇒ k = 17.6 inches

So, the perimeter of circle = 17.6 cm

Perimeter of square = (40 - 17.6 ) = 22.4 cm

3 0

3 years ago

Multiply. (7x-4)(4x-3)

dlinn [17]

<u>Your answer is 28x^2-37x+12</u>

<u>1) Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd</u>

28x^2-21x-16x+12

<u>2) Collect like terms</u>

28x^2+(-21-16x)+12

<u>3) Simplify</u>

28x^2-37x+12

7 0

3 years ago

Read 2 more answers

What is the equation of the following line written in slope-intercept form?

nasty-shy [4]

SOLUTION:

To begin with, let's establish that the formula of this line is in slope-intercept form as follows:

y = mx

The formula for this line isn't:

y = mx + b

This is as this line doesn't have a y-intercept ( b ) as it passes through the origin instead. This means that ( b ) would be rendered useless in this formula as it would just bring us back to the y = mx formula as displayed below:

y = mx + b
y = mx + 0
y = mx

Moving on, for ( m ), we need to find the gradient of the line as displayed below:

m = gradient
m = rise / run
m = 10 / 2
m = 5

Now, we must simply substitue ( m ) into the formula in order to obtain the equation for this line as displayed below:

y = mx
y = 5x

Therefore, the answer is:

A. y = 5x

6 0

3 years ago