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allochka39001 [22]
3 years ago
5

Simplify sin x / CSC x + cos x / sec x​

Mathematics
1 answer:
Artyom0805 [142]3 years ago
8 0
  • sinx/cscx =sinx x sinx =sin^2x
  • cosx/secx=cosx x cosx=cos^2x
  • sin^2x+cos^2x=1 "trigonometric identity"
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1. A new company wants to mail out samples of its hair products. The company has a sample box that is a rectangular prism with a
Goryan [66]

Answer:

Volume of rectangular prism = 175 / 6 inch³

Step-by-step explanation:

Given:

Base area of rectangular prism = 23 ¹/₃ inch² =  70 / 3 inch²

Height of rectangular prism = 1 ¹/₄ inch = 5 / 4 inch

Find:

Volume of rectangular prism

Computation:

Volume of rectangular prism = Base area of rectangular prism x Height of rectangular prism

Volume of rectangular prism = [70 / 3] x [5 / 4]

Volume of rectangular prism = [350 / 12]

Volume of rectangular prism = 175 / 6 inch³

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2 years ago
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3 years ago
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Len [333]

Answer:

Width = 2x²

Length = 7x² + 3

Step-by-step explanation:

∵ The area of a rectangle is 14x^{4}+6x^{2}

∵ Its width is the greatest common monomial factor of 14x^{4} and 6x²

- Let us find the greatest common factor of 14 , 6 and x^{4} , x²

∵ The factors of 14 are 1, 2, 7, 14

∵ The factors of 6 are 1, 2, 3, 6

∵ The common factors of 14 and 6 are 1, 2

∵ The greatest one is 2

∴ The greatest common factor of 14 and 6 is 2

- The greatest common factor of monomials is the variable with

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∴ The greatest common factor of x^{4} and  x² is x²

∴ The greatest common monomial factor of  14x^{4} and 6x² is 2x²

∴ The width of the rectangle is 2x²

To find the length divide the area by the width

∵ The area = 14x^{4}+6x^{2}

∵ The width = 2x²

∴ The length = ( 14x^{4}+6x^{2}) ÷ (2x²)

∵  14x^{4} ÷ 2x² = 7x²

∵ 6x² ÷ 2x² = 3

∴ ( 14x^{4}+6x^{2}) ÷ (2x²) = 7x² + 3

∴ The length of the rectangle is 7x² + 3

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3 years ago
During a 5-day work week, pete was sick for 2 days .what fraction of the work week was he sick?
timofeeve [1]
I think the answer is 2/5
6 0
3 years ago
Help 123456 please help please
uysha [10]
Number 3 is 7

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