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4 years ago

A quadrilateral has angles that measure 74°, 93°, and 117°.

Mathematics

2 answers:

Likurg_2 [28]4 years ago

5 0

The sum of the four angles need to equal 360 degrees.

The given angles = 74 + 93 + 117 = 284

The missing angle = 360 - 284 = 76 degrees.

Lana71 [14]4 years ago

3 0

Answer:

Step-by-step explanation:

74 + 93 + 117= 284

360 - 284 = 76

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Luis hizo un viaje en el coche en el cual consumio 20 l de gasolina. el trayecto lo hizo en dos etapas en la primera consumio 2/

algol13

Answer: $24\ liters$

Step-by-step explanation:

Let be "x" the amount of gasoline in liters that the car's tank had at the beginning of the trip.

1. In the first part of the trip the amount of gasoline the car used can be expressed as:

$\frac{2}{3}x$

2. After the first part of the trip, the remaining was:

$x-\frac{2}{3}x=\frac{1}{3}x$

3. In the second part of the trip the car used $\frac{1}{2}$ of the remaining. This is:

$(\frac{1}{3}x)(\frac{1}{2})=\frac{1}{6}x$

4. The total amount ot gasoline used in this trip was 20 liters.

5. Then, with this information, you can write the following equation:

$\frac{2}{3}x+\frac{1}{6}x=20$

6. Finally, you must solve for "x" in order to find its value. This is:

$\frac{2}{3}x+\frac{1}{6}x=20\\\\\frac{5}{6}x=20\\\\5x=120\\\\x=24$

3 0

3 years ago

Can someone help me right a thesis statement for a essay about how video games are educational FAST 30 points

rjkz [21]

Ans

Step-by-step explanation:

vidieo games are educational because it teaches kids about real life ,like how to avoid scammers,if you fall down get up , kindness and more

They are Also important for individualized learning. Develops hand/eye coordination. Children can learn programming, coding, and CAD design using video game play. Games like Minecraft teach children basic survival skills, such as sourcing wood to build a home, and many other skills.

And most importinatly you can make really good friends :3

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4 years ago

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What is 6 1/2 - 2 4/5

valkas [14]

The answer is 3 7/10

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4 years ago

Radioactive Decay

SpyIntel [72]

Answer:

Percentage of (226Ra) after 900 years is 68%

Step-by-step explanation:

Let P(t) be the amount of (226Ra) present at any time t

Half life of (226 Ra) = 1599 years

If P₀ is initial amount of (226 Ra) then after 1599 years

P(1599)=P₀/2

Decay i amount of radioactive substance is related to time t as

$\frac{dP}{dt}=kP(t)\\\\\frac{1}{P}\,dP=kdt\\\\Integrating\,\, both\,\,sides\\\\ln|P|=kt+c\\\\P(t)=Ce^{kt}\\\\at \,\, t=0\,\, P(0)=P_{o}\\\\P(0)=Ce^{k0}\\\\P_{o}=C\\\\then\\\\P(t)=P_{o}e^{kt}$

To find value of k

$at\,\, t=1599\,years\\\\P(1599)=\frac{P_{o}}{2}\\\\then\\\\\frac{P_{o}}{2} =P_{o}e^{k(1599)}\\\\\frac{1}{2} =e^{k(1599)}\\\\ln|\frac{1}{2}|=k(1599)\\\\k=\frac{ln|\frac{1}{2}|}{1599}=-4.3\times 10^{-3}\\\\\implies P(t)=P_{o}e^{-4.3\times 10^{-3}t}\\\\at\,\, t=900 \\\\P(900)=P_{o}e^{-4.3\times 10^{-3}(900)}\\\\P(900)=0.68P_{o}$

Percentage of radioactive element is:

Amount after 900 years $=\frac{P(900)}{P_{o}}\times 100\\\\=\frac{0.68P_{o}}{P_{o}}\times 100\%\\\\=68\%$

3 0

3 years ago

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amm1812

The answer is 11

14+(8)-11
22-11
11

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3 years ago

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