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3 years ago

14

The condition proves that triangle ABC and triangle EFG are congruent by the SAS criterion. If AB does not equal EF the criterio

n for congruency is violated. In this situation angle C angle G

1 answer:

andrezito [222]3 years ago

5 0

If AB ≠ EF, the criterion for congruency is violated. In this situation, angle C angle G are not equal :
angle C ≠ angle G

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The rate of change of the downward velocity of a falling object is the acceleration of gravity (10 meters/sec 2) minus the accel

Alexus [3.1K]

Answer:

See below

Step-by-step explanation:

Write the initial value problem and the solution for the downward velocity for an object that is dropped (not thrown) from a great height.

if v(t) is the speed at time t after being dropped, v'(t) is the acceleration at time t, so the the initial value problem for the downward velocity is

v'(t) = 10 - 0.1v(t)

v(0) = 0 (since the object is dropped)

<em> The equation v'(t)+0.1v(t)=10 is an ordinary first order differential equation with an integrating factor </em>

$\bf e^{\int {0.1dt}}=e^{0.1t}$

so its general solution is

$\bf v(t)=Ce^{-0.1t}+100$

To find C, we use the initial value v(0)=0, so C=-100

and the solution of the initial value problem is

$\bf \boxed{v(t)=-100e^{-0.1t}+100}$

what is the terminal velocity?

The terminal velocity is

$\bf \lim_{t \to\infty}(-100e^{-0.1t}+100)=100\;mt/sec$

How long before the object reaches 90% of terminal velocity?

90% of terminal velocity = 90 m/sec

we look for a t such that

$\bf -100e^{-0.1t}+100=90\rightarrow -100e^{-0.1t}=-10\rightarrow e^{-0.1t}=0.1\\-0.1t=ln(0.1)\rightarrow t=\frac{ln(0.1)}{-0.1}=23.026\;sec$

How far has it fallen by that time?

The distance traveled after t seconds is given by

$\bf \int_{0}^{t}v(t)dt$

So, the distance traveled after 23.026 seconds is

$\bf \int_{0}^{23.026}(-100e^{-0.1t}+100)dt=-100\int_{0}^{23.026}e^{-0.1t}dt+100\int_{0}^{23.026}dt=\\-100(-e^{-0.1*23.026}/0.1+1/0.1)+100*23.026=1,402.6\;mt$

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3 years ago

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Sphinxa [80]

Answer:

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Step-by-step explanation:

5 4/5 + 4 3/8

4/5 = 32/40

3/8 = 15/40

5 32/40 + 4 15/40 = 9 47/40 = 9 + 1 7/40 = 10 7/40

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3 years ago

Read 2 more answers

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Tju [1.3M]

Both are correct.

Good job!

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4 years ago

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diamong [38]

Answer:

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3 years ago

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Please help lol ....

Nataly [62]

So basically isolate the X

4x>32
Divide both sides by 4

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3 years ago