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2 years ago

How do you prove tanθ-cotθ divided by tanθ+cotθ equals tan^2θ -1 divided by sec^2θ

Mathematics

1 answer:

never [62]2 years ago

4 0

Answer:

see attachment for proof

Step-by-step explanation:

See attachment for step-by-step. I've also attached proof of the trig identity I used.

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A pilot was scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 15 minutes. Air traffic co

AlladinOne [14]

Answer:

$y = \frac{x}{2}+15$ will be the equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.

Step-by-step explanation:

Let x represent the time, in minutes, of her original flight plan.

Let y represents the time, in minutes, of her new flight plan.

The time of Original flight schedule = 4:00 pm

The number of minutes delayed by Original flight = 15 minutes

As the new flight plan is two times faster than original flight plan.

So, the equation of new flight plan will be:

$y = \frac{1}{2}x$

$y = \frac{x}{2}$

But, the original flight plan was delayed by 15 minutes. Hence, the equation to predict the number of minutes after 4:00 pm she will arrive at her destination will become:

$y = \frac{x}{2}+15$

So, $y = \frac{x}{2}+15$ will be the equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.

Keywords: equation, problem solving, word problem

Learn more about system of equation from brainly.com/question/14280085

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4 years ago

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What is 221/72 in demical form?

stira [4]

Answer-221/72=3.0610

5 0

3 years ago

two bags contain marbles. Bag A contains 112 marbles, and bag B contains 140 marbles.What percent fewer marbles does Bag A than

zavuch27 [327]

The answer is 28 you have to use subtraction

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4 years ago

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Solve the equation for y.

gayaneshka [121]

Answer: C

Step-by-step explanation:

$2x+5y=5$

$\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}$

$2x+5y-2x=5-2x$

$\mathrm{Simplify}$

$5y=5-2x$

$\mathrm{Divide\:both\:sides\:by\:}5$

$\frac{5y}{5}=\frac{5}{5}-\frac{2x}{5}$

$\mathrm{Simplify}$

$\bf{y=-\frac{2}{5}x + 1}$

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2 years ago

How do I solve (a+b)(3a-b)(2a+7b)<br> Please help

mash [69]

Answer:

Simplifying

-5 + -1(3a + b) + (2a + -7b) = 0

-5 + (3a * -1 + b * -1) + (2a + -7b) = 0

-5 + (-3a + -1b) + (2a + -7b) = 0

Remove parenthesis around (2a + -7b)

-5 + -3a + -1b + 2a + -7b = 0

Reorder the terms:

-5 + -3a + 2a + -1b + -7b = 0

Combine like terms: -3a + 2a = -1a

-5 + -1a + -1b + -7b = 0

Combine like terms: -1b + -7b = -8b

-5 + -1a + -8b = 0

Solving

-5 + -1a + -8b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + -1a + 5 + -8b = 0 + 5

Reorder the terms:

-5 + 5 + -1a + -8b = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -1a + -8b = 0 + 5

-1a + -8b = 0 + 5

Combine like terms: 0 + 5 = 5

-1a + -8b = 5

Add '8b' to each side of the equation.

-1a + -8b + 8b = 5 + 8b

Combine like terms: -8b + 8b = 0

-1a + 0 = 5 + 8b

-1a = 5 + 8b

Divide each side by '-1'.

a = -5 + -8b

Simplifying

a = -5 + -8b

Step-by-step explanation:

6 0

3 years ago