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Ipatiy [6.2K]
3 years ago
5

Find BF,Cos 40º = BF/8​

Mathematics
1 answer:
NeX [460]3 years ago
7 0

Step-by-step explanation:

BF= cos40° × 8

= 0.766× 8

= 6.128

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Find the arc length of the given curve between the specified points.
yuradex [85]

Answer:

4.25

Step-by-step explanation:

Given:

f(x) = \frac{x^3}{12} + \frac{1}{x} \\\\Arc Length = \int\limits^a_b {\sqrt{1 + (f'(x))^2}  } \, dx \\f '(x) = \frac{x^2}{6} - \frac{1}{x^2}\\\\f'(x)^2 = (\frac{x^2}{6} - \frac{1}{x^2})^2 = \frac{x^4}{36} +  \frac{1}{x^4} - \frac{1}{3}\\\\1 + f'(x)^2 = \frac{x^4}{36} +  \frac{1}{x^4} + \frac{2}{3}\\\\\= \frac{x^8 + 36 + 12x^4}{36x^4}\\\\= \frac{(x^4 + 6)^2}{36x^4}\\\\=\sqrt{1 + f'(x)^2}  = \sqrt{ \frac{(x^4 + 6)^2}{36x^4}}\\\\= \frac{x^2}{6} + \frac{1}{x^2} \\\\

ArcLength = \int\limits^4_1 {\frac{x^2}{6} + \frac{1}{x^2}  } \, dx \\= (\frac{x^3}{18} -  \frac{1}{x})\limits^4_1\\\\= (\frac{64}{18} - \frac{1}{4}) - (\frac{1}{18} - 1)\\\\= \frac{17}{4}= 4.25

8 0
3 years ago
Find the volume of the sphere. Include proper units:
Harrizon [31]

Answer:

14137.17

Step-by-step explanation:

8 0
3 years ago
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Solve this quadratic equation.<br><br> x 2 + 2x - 22 = 0
Alik [6]
<span><span><span>x2</span>+2x−22=0</span><span><span>x2</span>+2x-22=0</span></span>Use the quadratic formula to find the solutions.<span><span><span>−b±<span>√<span><span>b2</span>−4<span>(ac)</span></span></span></span><span>2a</span></span><span><span>-b±<span><span>b2</span>-4<span>(ac)</span></span></span><span>2a</span></span></span>Substitute the values <span><span>a=1</span><span>a=1</span></span>, <span><span>b=2</span><span>b=2</span></span>, and <span><span>c=−22</span><span>c=-22</span></span> into the quadratic formula and solve for <span>xx</span>.<span><span><span>−2±<span>√<span><span>22</span>−4⋅<span>(1⋅−22)</span></span></span></span><span>2⋅1
there</span></span></span>
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3 years ago
Rename each fraction using a common denominator for both 1/3 1/4
Jlenok [28]
I think it’s numerator
7 0
3 years ago
Solve 18n-7p-15n=5p for n​
irakobra [83]

Answer:

n=4p

Step-by-step explanation:

18n-7p-15n=5p

3n-7p=5p

3n=5p+7p

3n=12p

n=12p/3

n=4p

4 0
3 years ago
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