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brilliants [131]
3 years ago
13

Simplify and write the trigonometric expression in terms of sine and cosine:

Mathematics
1 answer:
asambeis [7]3 years ago
4 0

Answer:

we have the expression as;

1/sin u cos u

Step-by-step explanation:

tan u = sin u/cos u

cot u = cos u/sin u

Thus;

sin u/cos u + cos u/sin u

The lcm is sin u cos u

Thus, we have that;

(sin^2 u + cos^2 u)/sin u cos u

But ; sin^2 u + cos^2 u = 1

so we have ;

1/sin u cos u

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Simplify the following completely and show your work: -5x2(2x2 - 4x - 12)
masya89 [10]

Answer:

80+40x

Step-by-step explanation:

-5x2(2x2-4x-12)

-10(2x2-4x-12)

-20-20+40x+120

-40+120+40x

80+40x

8 0
2 years ago
A bus has three passengers Crew Marty Blakely. Marty's age is 1.5 times Crew's age. Blakely's age is 0.75 times crew's age. If t
Ugo [173]

The ages of the crew, Marty and Blakeley are 32 years, 48 years and 24 years respectively.

<h3>Algebra</h3>

  • Crew's age = x
  • Marty's age = 1.5x
  • Blakely's age = 0.75x

  • Total ages = 104

Total = crew's age + Marty's age + blakely's age

104 = x + 1.5x + 0.75x

104 = 3.25x

x = 104 ÷ 3.25

x = 32 years

Therefore,

Crew's age = x

= 32 years

Marty's age = 1.5x

= 1.5(32)

= 48 years

Blakely's age = 0.75x

= 0.75(32)

= 24 years

Learn more about algebra:

brainly.com/question/4344214

#SPJ1

3 0
1 year ago
Solve the equation. Check your solution. Thanks !
erma4kov [3.2K]

Answer:

A.1

Step-by-step explanation:

d=1

1*9=9

3 0
3 years ago
Read 2 more answers
I also need work for understanding on these questions (I will mark as brainliest)
stich3 [128]

Answer:

<em>24000 and 1620 for the first and fifth </em>

Step-by-step explanation:

  • <em>24 x 25 x 40 = 24000</em>
  • <em>9 x 6 x 30 = 1620</em>

<em></em>

<em></em>

<em></em>

  • <em>I only know one and five </em>
  • <em>i couldn't figure out the others</em>
  • <em>Hope this helps</em>
  • <em>The other three i didn't learn yet</em>
  • <em>Brainliest</em>
  • <em>Ask questions if wrong</em>

7 0
3 years ago
There are 10 employees in a particular division of a company. Their salaries have a mean of 570,000, a median of $55,000,and a s
harkovskaia [24]

Answer:

a) $160,000

b) $55,000

c) $332264.804

Step-by-step explanation:

We are given that there are 10 employees in a particular division of a company and their salaries have a mean of $70,000, a median of $55,000, and a standard deviation of $20,000.

And also the largest number on the list is $100,000 but By accident, this number is changed to $1,000,000.

a) Value of mean after the change in value is given by;

     Original Mean = $70,000

       \frac{\sum X}{n} = $70,000  ⇒ \sum X = 70,000 * 10 = $700,000

   New \sum X after change = $700,000 - $100,000 + $1,000,000 = $1600000

  Therefore, New mean = \frac{1600000}{10} = $160,000 .

b) Median will not get affected as median is the middle most value in the data set and since $1,000,000 is considered to be an outlier so median remain unchanged at $55,000 .

c) Original Variance = 20000^{2} i.e.  20000^{2} = \frac{\sum x^{2} - n*xbar }{n -1}

    Original \sum x^{2} = (20000^{2} * (10-1)) + (10 * 70,000) = $3,600,700,000

    New \sum x^{2} = $3,600,700,000 - 100,000^{2} + 1,000,000^{2} = 9.936007 * 10^{11}  

    New Variance = \frac{new\sum x^{2} - n*new xbar }{n -1} = \frac{9.936007 *10^{11}  - 10*160000 }{10 -1} = 1.103999 * 10^{11}    Therefore, standard deviation after change = \sqrt{1.103999 * 10^{11} } = $332264.804 .

7 0
3 years ago
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