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4 years ago

Please help asap 23 pts

Mathematics

2 answers:

Colt1911 [192]4 years ago

3 0

That would be point E since it is between 1 and 2 on the number line and is a little bit closer to 2. hope this helps

tatyana61 [14]4 years ago

3 0

D- Point E ;) And you just have to look after the one and if it was a negative it would be point C

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Complete the identity.<br> 1) sec^4 x + sec^2 x tan^2 x - 2 tan^4 x = ?

Alecsey [184]

Answer:

See Explanation

Step-by-step explanation:

<em>Question like this are better answered if there are list of options; However, I'll simplify as far as the expression can be simplified</em>

Given

$sec^4 x + sec^2 x tan^2 x - 2 tan^4 x$

Required

Simplify

$(sec^2 x)^2 + sec^2 x tan^2 x - 2 (tan^2 x)^2$

Represent $sec^2x$ with a

Represent $tan^2x$ with b

The expression becomes

$a^2 + ab- 2 b^2$

Factorize

$a^2 + 2ab -ab- 2 b^2$

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

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

Recall that

$a = sec^2x$

$b = tan^2x$

The expression $(a -b) (a+ 2 b)$ becomes

$(sec^2x -tan^2x) (sec^2x+ 2 tan^2x)$

..............................................................................................................................

In trigonometry

$sec^2x =1 +tan^2x$

Subtract $tan^2x$ from both sides

$sec^2x - tan^2x =1 +tan^2x - tan^2x$

$sec^2x - tan^2x =1$

..............................................................................................................................

Substitute 1 for $sec^2x - tan^2x$ in $(sec^2x -tan^2x) (sec^2x+ 2 tan^2x)$

$(1) (sec^2x+ 2 tan^2x)$

Open Bracket

$sec^2x+ 2 tan^2x$ ------------------This is an equivalence

$(secx)^2+ 2 (tanx)^2$

Solving further;

................................................................................................................................

In trigonometry

$secx = \frac{1}{cosx}$

$tanx = \frac{sinx}{cosx}$

Substitute the expressions for secx and tanx

................................................................................................................................

$(secx)^2+ 2 (tanx)^2$ becomes

$(\frac{1}{cosx})^2+ 2 (\frac{sinx}{cosx})^2$

Open bracket

$\frac{1}{cos^2x}+ 2 (\frac{sin^2x}{cos^2x})$

$\frac{1}{cos^2x}+ \frac{2sin^2x}{cos^2x}$

Add Fraction

$\frac{1 + 2sin^2x}{cos^2x}$ ------------------------ This is another equivalence

................................................................................................................................

In trigonometry

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

Make $sin^2x$ the subject of formula

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

................................................................................................................................

Substitute the expressions for $1 - cos^2x$ for $sin^2x$

$\frac{1 + 2(1 - cos^2x)}{cos^2x}$

Open bracket

$\frac{1 + 2 - 2cos^2x}{cos^2x}$

$\frac{3 - 2cos^2x}{cos^2x}$ ---------------------- This is another equivalence

8 0

3 years ago

What is the area of the figure shown.

dimulka [17.4K]

Answer:

284.52

Step-by-step explanation:

total area = area of semi circle + area of rectangle

area of semicircle = pi r^2 /2.

= 3.14 * (12/2) ^2 ...divided by 2

= 56.52

area of rectangle = length * breadth

= 19*12

= 228

3 0

3 years ago

Read 2 more answers

Ratio equivalents to 1:2

nata0808 [166]

2:4 3:6 4:8

Any ratio equals 1:2 as long as you can divide the first number by itself to get 1 and the second number with the 1st number.
Example
2:4
Divide the first number by 2 and you get 1
Divide the second number by 2 and you get 2
So the ratio equals 1:2

Please make me brainliest

3 0

3 years ago

Read 2 more answers

Please help me

galina1969 [7]

Answer:

Your answer is.....

In every big pieces there will be 3 * 1/3 pieces.

So total 12 of 1/3 pieces

Mark it as brainlist answer . follow me for more answer.

Step-by-step explanation:

7 0

3 years ago

What is the unit rate for 220$ to 13ft

Firlakuza [10]

Answer:

Total Rate= 220$ and length = 13 ft

13/220$

= 1/16.92$

Unit = 16.92$

6 0

3 years ago