All categories

1 year ago

Anyone know how to prove these are equal to one another? I also need all the steps.

Mathematics

1 answer:

IrinaVladis [17]1 year ago

6 0

Answer:

Step-by-step explanation:

it can be simplified to $\frac{sec \theta}{cot\theta+tan\theta} =sin\theta$ . if you multiply each side by the denominator, it becomes $sec\theta=\frac{sin^2\theta}{cos\theta} + cos\theta$ since $tan\theta=\frac{sin\theta}{cos\theta}$ and cotan is the reciprocal of that. Because $sec\theta=\frac{1}{cos\theta}$ so multiplying each side gives $1=sin^2\theta+cos^2\theta$ , and $sin^2\theta+cos^2\theta$ is equal to 1.

You might be interested in

the cost to rent a photo booth for a party is a one time fee of $25 plus $30 per hour the photo booth is running. If the photo b

sdas [7]

Answer: 25+30h=180

Step-by-step explanation:

The one time fee is 25 and plus the $30 per hour so you have 25 plus $30 h= hour equals 180. I took the a test and got it right btw.

6 0

3 years ago

Upon completion of an experiment a student realizes that the technique used for measuring the length and width of a rectangle ha

eduard

Answer:

809.4cm²

Step-by-step explanation:

Given the following :

Systematic error = 3.8cm (The measured length is always more than the actual length.)

Most probable dimension :

Width = 85.7 cm

Length = 123.5 cm

Hence most probable area of Rectangle :

Area = Length × Width

Area = 85.7cm × 123.5cm = 10583.95 cm²

Dimension due to Systematic error :

Length = (85.7cm + 3.8cm) = 89.5cm

Width = (123.5cm + 3.8cm) = 127.3cm

Area = Length × width

Area = ( 89.5cm × 127.3) = 11393.35cm²

Systematic error of the area :

value of area with Systematic error - Probable value of area :

11393.35cm² - 10583.95 cm² = 809.4cm²

6 0

3 years ago

I might get grounded if I don't get this right

vladimir1956 [14]

Answer:

I can't see the photo

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Factor completely 3a4y3 − 12a3y2 + 6a2y.

Firlakuza [10]

Step-by-step explanation:

$3a^4y^3-12a^3y^2+6a^2y=(3a^2y)(a^2y^2)-(3a^2y)(4ay)+(3a^2y)(2)\\\\=(3a^2y)(a^2y^2-4ay+2)$

5 0

3 years ago

A furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week. Each chair produced requir

miskamm [114]

The numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

Since a furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week, and each chair produced requires 8 ft of wood and 12 hours of labor, and each table requires 20 ft of wood and 15 hours of labor, to determine, if a chair yields a profit of $ 65 and a table yields a profit of $ 90, what are the numbers of chairs and tables that should be produced each week in order to maximize the company's profit, the following calculation should be done:

16 chairs; 24 tables
Time used = 16 x 12 + 24 x 15 = 192 + 360 = 552
Wood used = 16 x 8 + 24 x 20 = 128 + 480 = 608
15 chairs; 18 tables
Time used = 15 x 12 + 18 x 15 = 180 + 270 = 450
Wood used = 15 x 8 + 18 x 20 = 120 + 360 = 480
12 chairs; 28 tables
Time used = 12 x 12 + 28 x 15 = 144 + 420 = 564
Wood used = 12 x 8 + 28 x 20 = 96 + 540 = 636
18 chairs; 20 tables
Time used = 18 x 12 + 20 x 15 = 216 + 300 = 516
Wood used = 18 x 8 + 20 x 20 = 144 + 400 = 544

Therefore, the only option that meets the requirements of time and wood used is that of 15 chairs and 18 tables, whose economic benefit will be the following:

15 x 65 + 18 x 90 = X
975 + 1,620 = X
2,595 = X

Therefore, the numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

Learn more in brainly.com/question/14728529

8 0

2 years ago