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damaskus [11]
3 years ago
7

Which equation has no real solutions?

Mathematics
1 answer:
nydimaria [60]3 years ago
5 0
A has no real solution. See the picture below for details.

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If sin ⁡x=725, and 0 ∠ x ∠ pi/2, what is the tan (x - pi/4)
krok68 [10]

Tan(x-\frac{\pi }{4}) = \frac{-17}{31}

<u>Step-by-step explanation:</u>

Here we have ,  sin ⁡x=7/25( given sin x = 725 which is not possible ) , 0 . Let's find tan (x - pi/4):

⇒ Tanx = \frac{sinx}{cosx}

⇒ Tanx = \frac{sinx}{\sqrt{1-(sinx)^{2}}}

⇒ Tanx = \frac{\frac{7}{25}}{\sqrt{1-(\frac{7}{25})^{2}}}

⇒ Tanx = {\frac{7}{25}}{\sqrt{(\frac{625}{625-49})^{}}}

⇒ Tanx = {\frac{7}{25}}(\frac{25}{24} )

⇒ Tanx = {\frac{7}{24}}

Now , Tan(x-\frac{\pi }{4}) = \frac{Tanx - Tan(\frac{\pi }{4} )}{1+ Tanx(Tan(\frac{\pi }{4} )}

⇒ Tan(x-\frac{\pi }{4}) = \frac{Tanx -1}{1+ Tanx(1)}

⇒ Tan(x-\frac{\pi }{4}) = \frac{\frac{7}{24}  -1}{1+\frac{7}{24} }

⇒ Tan(x-\frac{\pi }{4}) = \frac{\frac{7-24}{24} }{\frac{7+24}{24} }

⇒ Tan(x-\frac{\pi }{4}) = \frac{-17}{24} (\frac{24}{31} )

⇒ Tan(x-\frac{\pi }{4}) = \frac{-17}{31}

7 0
3 years ago
PLEASE I AM BEGGING help me all I need to so is show work I have to turn this in tmrw pls​
GenaCL600 [577]

Hello and Good Morning/Afternoon:

<u>Let's take this problem step-by-step</u>:

<u>Let's consider all the information given</u>:

  1. Eddie's pension is based on the average of his last four year's salaries

           \hookrightarrow \text{average } = \text {sum of all salaries} / \text{ number of years}\\ \hookrightarrow \text{average}= 392000 / 4 = 98000

   

      2. The employer will pay 1.2% of that average for each year he worked

            \hookrightarrow \text{1.2 percent of average} = \frac{1.2}{100} *98000=1176

      3. The employer will therefore pay in total

             \hookrightarrow \text{Total pension} = 1176 * 20 \text{ years} = 23520

<u>Answer: $23520</u>

<u></u>

Hope that helps!

#LearnwithBrainly

6 0
1 year ago
The table shows list of walking trails in the United States. Latisha walked the KATY trail six days last week. How many miles di
myrzilka [38]
How long is the trail on your table then multiply by 6.
7 0
3 years ago
Please help me with this one
Burka [1]
What is the question
7 0
3 years ago
If vector A⃗ has components Ax and Ay and makes an angle θ with the +x axis, then...
Lesechka [4]
If vector A⃗ has components Ax and Ay and makes an angle θ with the +x axis, then tanθ = Ay/Ax to get the angle of the vector components. Since the trigonometric function of tanθ is sinθ over cosθ, and since sinθ = y/r and cosθ = x/r.
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