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konstantin123 [22]
3 years ago
5

Find all solutions of the equation in the interval [0,2pi).

Mathematics
1 answer:
Setler79 [48]3 years ago
3 0
Csc theta=-2 then theta equals csc^-1(-2) then theta would equal 5pi/6, 7pi/6
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A closed box has a square base with side length feet and height feet given that the volume of the box is 34 ft.³ express the sur
Deffense [45]

Answer:

\dfrac{2s^3+136}{s}

Step-by-step explanation:

Let the side length of the square base =s feet

Let the height of the box = h

Given that the volume of the box = 34$ ft^3

Volume of the box =s^2h

Then:

s^2h=34$ ft^3\\$Divide both sides by s^2\\h=\dfrac{34}{s^2}

Surface Area of a Rectangular Prism =2(lb+bh+lh)

Since we have a square base, l=b=s feet

Therefore:

Surface Area of our closed box= 2(s^2+sh+sh)

S$urface Area= 2s^2+4sh\\Recall: h=\dfrac{34}{s^2}\\$Surface Area= 2s^2+4s\left(\dfrac{34}{s^2}\right)\\=2s^2+\dfrac{136}{s}\\$Surface Area in terms of length only=\dfrac{2s^3+136}{s}

7 0
2 years ago
What is the measure of
nadezda [96]

Answer:

It's 15°

Step-by-step explanation:

BC+60°+85°+200° =360°

BC+345°=360°

BC=360°-345°

Bc=15°

5 0
3 years ago
What is the prime factorization of 18 from least to greatest
professor190 [17]
1*2*3^2   or  2 * 3 * 3
4 0
3 years ago
The planning department of abstract office supplies has been asked to determine what is the company should introduce a new compu
BabaBlast [244]

Answer:

<em>The company needs to sell 40 desks to break even</em>

Step-by-step explanation:

<u>Application of Equations</u>

There is virtually no limit to the possible situations where equations can help to find the solution of specific problems related to areas like economy, where one could need to establish some important indicators about the business.

B. The fixed cost for Abstract Office Supplies to sell a new computer desk is $14,000. Each desk will cost $150 to produce. The cost function to produce X desks is

C(x)=150x+14,000

A. The revenue for each desk is estimated at $500, for X desks will be

R(x)=500x

C. The company will break even when the cost and the revenue are the same. We'll find how many desks need to be sold for that to happen. We equate

C(x)=R(x)

Or equivalently

150x+14,000=500x

Rearranging

500x-150x=14,000

350x=14,000

Solving for x

x=14,000/350= 40

The company needs to sell 40 desks to break even

4 0
2 years ago
The number a times 10 to the power of negative 2 is about 8 times greater than b times 10 to the power of negative 3. Find the c
bezimeni [28]

Answer:

c

Step-by-step explanation:


7 0
3 years ago
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