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tensa zangetsu [6.8K]
3 years ago
10

What is the solution to the equation below?3log_4x=log_43 2+log_4 2

Mathematics
1 answer:
cupoosta [38]3 years ago
6 0
\frac{3\log _4\left(x\right)}{3}=\frac{\log _4\left(32\right)}{3}+\frac{\log _4\left(2\right)}{3}
Simplify
\log _4\left(x\right)=\frac{\log _4\left(32\right)+\log _4\left(2\right)}{3}
\log _4\left(x\right)=1
Apply log rule
\log _4\left(x\right)=\log _4\left(4\right)
Answer:
x=4
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Answer:

Step-by-step explanation:

time taken to reach the max height is expressed according to the projectile equation;

tmax = u/g

Given u = 30m/s

g is the acceleration due to gravity = 9.81

t = 30/9.81

t = 3.0secs

hence it will take the flare 3.06secs to reach its maximum height.

Max height = u²/2g

Max height = 30²/2(9.81)

Max height = 900/19.62

Max height = 45.87m

If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m

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3 years ago
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3 years ago
Anyone know how to do this
svlad2 [7]

Answer:

The area of the rectangle on the left side is

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The area of the bottom rectangle is

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The total area of the composite figure will be

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Step-by-step explanation:

The area of any given rectangle can be found by multiplying the length of that rectangle by its width. The rectangle on the left side has a length of 9cm but the width is unknown. To find the width, we subtract 6cm from the width of the bottom rectangle: 10cm. And that gives us 4cm.

Therefore, we can now calculate the area to be: length × width = 9cm × 4cm = 36cm²//

The area of the bottom rectangle can be found similarly by multiplying the length: 2cm by the width: 6cm of that rectangle. And the result gives us: 2cm × 6cm = 12cm²//

The total area of the composite figure is calculated by adding the results from the left and bottom rectangles together. And that gives us: 36cm² + 12cm² = 48cm²//

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\bold{\frac{5}{13} or 0.38}

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Solution given:

here

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