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Mathematics

1 answer:

melomori [17]2 years ago

8 0

53.55 / 85 = 0.63

0.63 * 100 = 63

63 - 38 = 25

watch was 25 before discount

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1 + 5sin^2x= 7sin^2x solve trig equation. Can you show me how to solve this trig equation?

pantera1 [17]

Answer: $x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

Step by step:

$1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

(Used a table of common angles)

8 0

3 years ago

Please help and thank you

zvonat [6]

The hexagonal prism has a an equation of volume = base * height.

Since we already know the base is 8 sq feet, we can plug in some values and use x as a missing value

40 = 8 * x
Divide by 8
5 = x

X is equal to 5.

7 0

3 years ago

Convert from radians to degrees. Show all work. You can type pi for the symbol <br> 7/12 pi

mariarad [96]

Answer:

The answer is $\frac{7\pi }{12}^{c}=105^{0}$