2(3 x5-8)-4x2 (8-6+2)

Answers

Answer 1

Answer:

Answer:

-18

Step-by-step explanation:

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Q4, PLSS HELP, IT TIME.........

Answers

Answer:

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Prove the trigonometric identity
(tan x + cot x)/(csc x * cos x) = sec^2 x

Answers

Answer:

$(\tan x + \cot x)/(\csc x \cos x)=\sec^2 x$

$\boxed{((\sin x)/(\cos x) + (\cos x)/(\sin x))/((1)/(\sin x) \cdot \cos x)}=\sec^2 x$

$\boxed{((\sin^2 x)/(\sin x\cos x) + (\cos^2 x)/(\sin x \cos x))/((\cos x)/(\sin x))}=\sec^2 x$

$\boxed{((\sin^2 x+\cos^2 x)/(\sin x\cos x))/((\cos x)/(\sin x))}=\sec^2 x$

$\boxed{((1)/(\sin x\cos x))/((\cos x)/(\sin x))}=\sec^2 x$

$\boxed{(1)/(\sin x\cos x) \cdot (\sin x)/(\cos x)}=\sec^2 x$

$(1)/(\cos^2x)=\sec^2x$

$\sec^2x=\sec^2x$

Step-by-step explanation:

Given trigonometric identity:

$(\tan x + \cot x)/(\csc x \cos x)=\sec^2 x$

$\textsf{Use the identities\;\;$\tan x = (\sin x)/(\cos x)$\;,\;$\cot x=(\cos x)/(\sin x)$\;\;and\;\;$\csc x=(1)/(\sin x)$}:$

$\boxed{((\sin x)/(\cos x) + (\cos x)/(\sin x))/((1)/(\sin x) \cdot \cos x)}=\sec^2 x$

Simplify the denominator and make the fractions in the numerator like fractions:

$\boxed{((\sin^2 x)/(\sin x\cos x) + (\cos^2 x)/(\sin x \cos x))/((\cos x)/(\sin x))}=\sec^2 x$

$\textsf{Apply\;the\;fraction\;rule\;\;$(a)/(b)+(c)/(b)=(a+c)/(b)$\;to\;the\;numerator}:$

$\boxed{((\sin^2 x+\cos^2 x)/(\sin x\cos x))/((\cos x)/(\sin x))}=\sec^2 x$

$\textsf{Use\;the\;identity\;\;$\sin^2x+\cos^2x=1$}:$

$\boxed{((1)/(\sin x\cos x))/((\cos x)/(\sin x))}=\sec^2 x$

$\textsf{Apply\;the\;fraction\;rule\;\;$(a)/((b)/(c))=a \cdot (c)/(b)$}:$

$\boxed{(1)/(\sin x\cos x) \cdot (\sin x)/(\cos x)}=\sec^2 x$

Cancel the common factor sin x, and apply the exponent rule aa = a² to the denominator:

$(1)/(\cos^2x)=\sec^2x$

$\textsf{Use the identity\;\;$(1)/(\cos x)=\sec x$}:$

$\sec^2x=\sec^2x$

Answer:

The proof of the trigonometric identity:

We can start by expanding the numerator and denominator. In the numerator, we can use the trigonometric identities tan x = sin x / cos x and cot x = cos x / sin x.

In the denominator, we can use the trigonometric identity csc x = 1 / sin x. This gives us:

$((tan x + cot x))/((csc x * cos x) ) = (((sin x )/( cos x)) + ((cos x )/(sin x)))/(((1)/( sin x)) * cos x)$

`We can then cancel the sin x terms in the numerator and denominator. This gives us:

$((tan x + cot x))/((csc x * cos x) ) = (1 + 1)/(((1 )/(sin x)) * cos x)$

We can then multiply the numerator and denominator by sin x. This gives us:

$((tan x + cot x))/((csc x * cos x) ) = (sin x + sin x)/((1 )/(cos x))$

We can then simplify the expression. This gives us:

$((tan x + cot x))/((csc x * cos x) ) = (2sin x)/((1 )/(cos x)) = (2sin x)/(cos x) = 2tan x$

Finally, we can use the trigonometric identity tan^2 x = sec^2 x - 1 to get:

$2tan x =( 2tan^2 x )/( (sec^2 x - 1))$

This gives us the following identity:

$((tan x + cot x))/((csc x * cos x) ) = sec^2 x$

This completes the proof of the trigonometric identity.

PLZ HELP ME WITH MY PROJECTtell me 10 things that you like about distance learning and the 10 things that you dislike about distance learning.

Answers

Things I like about distance learning are:

I get to sleep in a bit.
My schedule is more flexible.
I can work in different environments.
I can have my pets with me while in class!
Fewer group projects (I dislike most group projects as I do most of the work)
I have more resources.
I can ask my parents and siblings for help if needed.
Fewer distractions.
I can stay in comfy clothes all day.
Fewer restrictions/ more freedom.

Things I dislike about distance learning:

I don't get to see my friends every day.
I get more headaches since I'm in front of a screen all day.
It's harder to be motivated.
It's easier to get behind on assignments.
I don't get to meet new people (In-person ofc)
It's harder to do classes like gym or art with online learning.
Online school can be difficult if you have technology issues.
I don't get to see my teachers.
I can't do school sports and school-related activities.
I'm an extrovert so I can't socialize.

Hope this helps! Good luck on your project! :)

Six-four million, one hundred eighty-six thousand, three hundred square miles in standard form

Answers

Answer:

64,186,300

Step-by-step explanation:

Six-four million - 64 million.

One hundred eighty six thousand - 186,000

You won't have space for the zeros, so you remove them.

And last, three hundred - 300.

So, now combine all of the numbers.

Your answer is 64,180,300.

Hope it helps!

Final answer:

The number six-four million, one hundred eighty-six thousand, three hundred is written as 64,186,300 in standard form.

Explanation:

The student is asking for a numerical representation of a written number, specifically six-four million, one hundred eighty-six thousand, three hundred. In standard form, this would be written as 64,186,300. The "million" denotes six zeros following the 64, the "thousand" indicates three zeros following the 186, and the "three hundred" is written as 300 at the end. So, in simpler terms, the number is written as 64,000,000 + 186,000 + 300 = 64,186,300.

Learn more about Standard form here:

brainly.com/question/37011468

#SPJ11

Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi = 3.14 in any formulas used.

Answers

The perimeter and area of the composite shape is:

B. Perimeter = 19.42 inches; Area = 26.13 square inches

Recall:

Area of a circle = πr²

Perimeter of circle = 2πr

Area of triangle = 1/2(bh)

The composite shape given is composed of a triangle and a semicircle.

Perimeter of the composite shape = Perimeter of semicircle + the length of the two sides of the triangle

Perimeter = 1/2(2 × 3.14 × 3) + 2(5) = 19.42 inches

Area of the composite shape = area of semicircle + area of triangle

Area = 1/2(3.14 × 3²) + 1/2(6 × 4)

Are = 14.13 + 12

Area of the composite shape = 26.13 square inches.

Therefore, the perimeter and area of the composite shape is:

B. Perimeter = 19.42 inches; Area = 26.13 square inches

Learn more about area and perimeter of composite shapes on:

brainly.com/question/6317134

Answer:

Step-by-step explanation:

The composite shape consists of a semi circle and a triangle. The formula for determining the perimeter of a semicircle is expressed as

Perimeter = 1/2 × 2πr = πr

Since radius, r = 3, then

Perimeter of semi circle = 3 × 3.14 = 9.42 inches

Perimeter of composite shape = 9.42 + 5 + 5 = 19.42 inches

Area of semi circle = 1/2 × πr²

Area of semicircle = 1/2 × 3.14 × 3² = 14.13 inches²

Area of triangle = 1/2 × base × height

Area of triangle = 1/2 × 6 × 4 = 12 inches²

Area of composite shape = 14.13 + 12 = 26.13 inches²

Four friends want to share two largepizzas equally. Each pizza is cut into
ten slices. How many slices will each
person get?

Answers

Answer: 5

Step-by-step explanation:

2 pizzas ten slices eatch, so 20 slices. 20 slices devided by 4 is five. :)

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A game of chance involves rolling a standard, six-sided die. The amount of money the player wins depends on the result of the die roll: * If the result is 1 or 2, the player wins nothing; * If the result is 3, 4, or 5, the player wins 4 dollars; * If the result is 6, the player wins 36 dollars. (Note: Your answer to the question below should be rounded to three decimal places.) If you play this game once (and it costs you nothing to play), what is the expected amount of money you will win?

I'm having trouble with finding the solutions.

Hiii help pls thansjdjswjejejdjjdjeee