IDNLearn.com connects you with a global community of knowledgeable individuals. Find in-depth and trustworthy answers to all your questions from our experienced community members.
Sagot :
To evaluate the expression [tex]\( -2\pi + \sqrt{16} \)[/tex], let's break it down step-by-step:
1. Calculate [tex]\( 2\pi \)[/tex]:
The value of [tex]\( \pi \)[/tex] is approximately 3.14159. So:
[tex]\[ 2\pi \approx 2 \times 3.14159 = 6.28318 \][/tex]
2. Take the negative of [tex]\( 2\pi \)[/tex]:
[tex]\[ -2\pi \approx -6.28318 \][/tex]
3. Calculate [tex]\( \sqrt{16} \)[/tex]:
The square root of 16 is:
[tex]\[ \sqrt{16} = 4 \][/tex]
4. Combine the two results:
[tex]\[ -2\pi + \sqrt{16} \approx -6.28318 + 4 = -2.28318 \][/tex]
So, the value of the expression [tex]\( -2\pi + \sqrt{16} \)[/tex] is approximately [tex]\(-2.28318\)[/tex].
Now, let's compare this value to the given choices:
- [tex]\(a) -9.8\)[/tex]
- [tex]\(b) -1.8\)[/tex]
- [tex]\(c) 9.8\)[/tex]
- [tex]\(d) -4.5\)[/tex]
Among the choices, the one closest to [tex]\(-2.28318\)[/tex] is:
[tex]\[ -1.8 \][/tex]
Therefore, the closest choice to the calculated value is [tex]\( b) -1.8 \)[/tex].
1. Calculate [tex]\( 2\pi \)[/tex]:
The value of [tex]\( \pi \)[/tex] is approximately 3.14159. So:
[tex]\[ 2\pi \approx 2 \times 3.14159 = 6.28318 \][/tex]
2. Take the negative of [tex]\( 2\pi \)[/tex]:
[tex]\[ -2\pi \approx -6.28318 \][/tex]
3. Calculate [tex]\( \sqrt{16} \)[/tex]:
The square root of 16 is:
[tex]\[ \sqrt{16} = 4 \][/tex]
4. Combine the two results:
[tex]\[ -2\pi + \sqrt{16} \approx -6.28318 + 4 = -2.28318 \][/tex]
So, the value of the expression [tex]\( -2\pi + \sqrt{16} \)[/tex] is approximately [tex]\(-2.28318\)[/tex].
Now, let's compare this value to the given choices:
- [tex]\(a) -9.8\)[/tex]
- [tex]\(b) -1.8\)[/tex]
- [tex]\(c) 9.8\)[/tex]
- [tex]\(d) -4.5\)[/tex]
Among the choices, the one closest to [tex]\(-2.28318\)[/tex] is:
[tex]\[ -1.8 \][/tex]
Therefore, the closest choice to the calculated value is [tex]\( b) -1.8 \)[/tex].
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Your questions find answers at IDNLearn.com. Thanks for visiting, and come back for more accurate and reliable solutions.