3 years ago

How to do the lesson 4 7th grade

Mathematics

1 answer:

wlad13 [49]3 years ago

4 0

For the first one you would put 1,2,3,4 in the top then in the bottom you would put 15,30,45,60

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Solve for x. (e^x-e^-x)/((e^x+e^-x)=t

Sergio [31]

$\dfrac{e^x-e^{-x}}{e^x+e^{-x}}=t\\\\
\dfrac{e^{2x}-1}{e^{2x}+1}=t\\\\
e^{2x}-1=t(e^{2x}+1)\\\\
e^{2x}-1=e^{2x}t+t\\\\
e^{2x}-e^{2x}t=t+1\\\\
e^{2x}(1-t)=t+1\\\\
e^{2x}=\dfrac{t+1}{1-t}\\\\
e^{2x}=-\dfrac{t+1}{t-1}\\\\
2x=\ln\left(-\dfrac{t+1}{t-1}\right)\\\\
x=\dfrac{\ln\left(-\dfrac{t+1}{t-1}\right)}{2}\qquad t\in(-1,1)



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8 0

3 years ago

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and what is distance jeremy jumps from the ramp to the fire escape is _______ feet (round to the nearest tenth of a foot)

Cloud [144]

Answer:

sin(70°) =10/x

The distance Jeremy jumps from the ramp to the fire escape is <u>10.6</u> feet

Step-by-step explanation:

From the question shown in the picture attached, the vertical height Jeremy has to jump is: 15 - 5 = 10 ft

A right triangle is formed, where the angle between the hypotenuse (called x) and one of the legs is: 160° - 90° = 70°, and the vertical height Jeremy has to jump, is the leg opposite to that angle.

From sine definition:

sin(70°) = opposite/hypotenuse

sin(70°) = 10/x

x = 10/sin(70°)

x = 10.6 ft