If you draw out the diagram, then you'll find that a 45-45-90 triangle forms. The nice thing about this type of triangle is that the two legs are always the same length. The horizontal leg is 100 meters, so the vertical leg must also be 100 meters.

Side note: this type of triangle is an isosceles right triangle.

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You could use the tangent rule to get the same thing

tan(angle) = opposite/adjacent

tan(45) = 100/x

1 = 100/x

1*x = 100

x = 100

In this case, the opposite leg is the vertical leg since it is furthest from the angle of elevation.

5 0

3 years ago

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A leaky faucet is losing water and is filling a 8-gallon bucket every 25 hours.At this rate,how many gallons of water will the f

Angelina_Jolie [31]

The rate of 8 gallons every 25 hours means that the faucet fills $\frac{8}{25}$ gallons every hour.

Multiply the unit rate for the number of hours you're interested in to find

$\dfrac{8}{25}\cdot 13 = \dfrac{104}{25}$

6 0

3 years ago

Find the general solution of the given system of odes. { dx/dt =2x 2y,dy/dt =x 3y}

Mumz [18]

The general solution of the given system of odes is

$x(t)=c1c^{t} + c2e^{4t}$

$y(t)= c2e^{4t} -1/2 c1e^{t}$

In arithmetic, a system of odes equations is a finite set of differential equations. Any such device may be either linear or non-linear. Also, such a machine can be both a machine of normal differential equations or a system of partial differential equations.

the compatibility conditions of an overdetermined system of odes equations may be succinctly stated in terms of differential forms (i.e., a shape to be specific, it needs to be closed). See integrability situations for differential systems for more.

It is an elaborately based poem praising or glorifying an event or character, describing nature intellectually as well as emotionally. A traditional ode is dependent on three essential parts: the strophe, the antistrophe, and the epode. Distinct forms together with the homostrophic ode and the abnormal ode also enter.

Learn more about the system of odes here brainly.com/question/15723320

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3 0

1 year ago