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2 years ago

What is the length of the missing leg? If necessary, round to the nearest tenth.

Mathematics

1 answer:

ludmilkaskok [199]2 years ago

8 0

Answer:

a = 3.5

Step-by-step explanation:

Let's find 'a' using Pythagoras theorem.

=> 4² = 2² + a²
=> 16 = 4 + a²
=> 12 = a²
=> a = √12
=> a = √2 x 2 x 3
=> a = 2√3
=> a = 2 x √3
=> a = 2 x 1.732
=> a = 3.464 = 3.5 (Estimated)

Hoped this helped.

$BrainiacUser1357$

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3 years ago

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see the attachment

Step-by-step explanation:

The repetitive scaling is best handled by a spreadsheet.

Part A

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3 years ago

Find the equation of the line that

Aleonysh [2.5K]

Answer:

y = 3x/2-14

Step-by-step explanation:

We are given that the line is perpendicular to y = -2/3 and contains (4,-8).

Perpendicular Def.

$\displaystyle \large{m_1m_2 = - 1}$

Both slopes multiply each others equal to -1.

Finding another slope that is perpendicular to -2/3, substitite m1 = -2/3 in.

$\displaystyle \large{ - \frac{2}{3} m_2 = - 1}$

Multiply both sides by 3.

$\displaystyle \large{ - \frac{2}{3} m_2( 3) = - 1(3)} \\ \displaystyle \large{ - 2 m_2= - 3} \\ \displaystyle \large{ m_2= \frac{3}{2} }$

Therefore, another slope that is perpendicular to -2/3 is 3/2.

Then rewrite in slope-intercept form.

Slope-Intercept

$\displaystyle \large{y = mx + b}$

where m = slope and b = y-intercept; substitute m = 3/2 in.

$\displaystyle \large{y = \frac{3}{2} x + b}$

Since the line contains (4,-8), substitute x = 4 and y = -8 in and solve for b.

$\displaystyle \large{ - 8 = \frac{3}{2} (4) + b} \\ \displaystyle \large{ - 8 = 3(2)+ b} \\ \displaystyle \large{ - 8 = 6 + b} \\ \displaystyle \large{ - 8 - 6 = b} \\ \displaystyle \large{ - 14 = b}$

Therefore, b is -14; rewrite again in slope-intercept form.

Thus:-

$\displaystyle \large{y = \frac{3}{2} x + b} \\ \displaystyle \large{y = \frac{3}{2} x - 14}$

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2 years ago