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stepan [7]
2 years ago
14

There is a pair of x and y values that make each equation true in this system of equations

Mathematics
1 answer:
MAXImum [283]2 years ago
5 0

Given Equations

  • 5x+3y=8--(1)
  • 4x+7y=34--(2)

Let it has solution (x,y)

Add both

\\ \sf\longmapsto 5x+4x+3y+7y=8+34

\\ \sf\longmapsto 9x+10y=42

It will also have same solution (x,y)

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Find the total area surface of figure​
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92 \:cm^2

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Evaluate each trigonometric equation for θ.
liberstina [14]

Answer:

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

Step-by-step explanation:

Let us revise the trigonometry functions

  • Sin(x) = opposite/hypotenuse
  • Cos(x) = adjacent/hypoteouse
  • Tan(x) = opposite/adjacent
  • Csc(x) = hypotenuse/opposit
  • Sec(x) = hypotenues/adjacent
  • Cot(x) = adjacent/opposite

In the given figure

The opposite side to angle Ф = 8

The adjacent side to angle Ф = 15

Find the hypotenuse using Pythagoras' theorem

Hypotenuse = \sqrt{8^{2}+15^{2}  }

Hypotenuse = \sqrt{64+225}

Hypotenuse = \sqrt{289}

Hypotenuse = 17

Let us use the rules above to find the trigonometry functions

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

4 0
3 years ago
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