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lorasvet [3.4K]
3 years ago
15

If tan fº = 2/1 and the measure of yw is 8 units, what is the measure of xw?

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
5 0

*see attachment for the figure referred to

Answer:

4 units

Step-by-step explanation:

Given that tan(f) = \frac{2}{1}, therefore, it follows that:

tan(f) = \frac{opp}{adjacent} = \frac{YW}{XW} = \frac{8}{XW},

If the ratio of YW to XW = 2:1, therefore, \frac{2}{1} = \frac{8}{XW}

Cross multiply to find XW

XW*2 = 8*1

XW = \frac{8}{2} = 4 units

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Find the 23rd term of this sequence -25,-15,-5,5....
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Answer:

195

Step-by-step explanation:

To find the 23rd term of this sequence, we can use the arithmetic sequence formula a_{n} =a_{1} +(n-1)d where,

a_{n} = n^{th} term

a_{1} = first term

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What is the inverse of the function f(x) = 8x+1
Yanka [14]

Answer:

f⁻¹(x) = (x - 1)/8

Or

f⁻¹(x) = 1/8 x - 1/8

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" variables, then isolate "y".

Remember <u>"f(x)" is the same thing as "y"</u>. Change from function notation to "y".

f(x) = 8x + 1

y = 8x + 1        

<u>Switch the "x" and "y" variables</u>

x = 8y + 1

<u>Isolate "y"</u>. Move the "y" variable to the left for standard formatting

8y + 1 = x            

8y + 1 - 1 = x - 1               Subtract 1 from both sides

8y = x - 1

\frac{8y}{8}=\frac{x-1}{8}        Divide both sides by 8 and simplify

y=\frac{x-1}{8}                  Inverse equation

y=\frac{1}{8}x-\frac{1}{8}             Slope-intercept form

<u>Use function notation</u>, change "y"

f^{-1}(x)=\frac{x-1}{8}                      Simplified

f^{-1}(x)=\frac{1}{8}x-\frac{1}{8}                   Slope-intercept form

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What is three fourths plus one third plus two sixths
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you are corret i hope

i helped

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