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patriot [66]
3 years ago
11

Find the value of each variables in the parallelogram

Mathematics
1 answer:
Ksju [112]3 years ago
4 0

Answer:

C = 6

D = 10

Step-by-step explanation:

C + 5 = 11

C + 5 -5 = 11 -5

C = 6

D + 4 = 14

D + 4 -4 = 14 -4

D = 10

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A fix it business charges 40 dollars per hour or any fraction thereof. Write a step function for the costs up to 3 hours.
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A group of pirates captures Kevin, Lisa, Matt and Neal, and forces them to play a game. They each roll a fair 6-sided-die once.
elena-s [515]

Answer: Option B, 16/81

Step-by-step explanation:

So we have 4 prisoners, they will roll a fair six side die and the product of the four rolls must NOT be a multiple of 3.

We know that every integer number can be "decomposed" into a product of prime numbers.

Then a number N,  that is divisible by 3, can be written as:

N = 3*k

Where k is another integer.

Here we will have a product of 4 numbers, each of them are in between 1 and 6.

Now, if only one of the prisoners rolls a 3, then the product of the rolls will always be a multiple of 3. And if one of the rolls is 6 the same will happen, because 6 = 3.2

Then the probability of surviving is when in none of the four rolls we have a 3 or a 6.

Then we must have a 1, 2, 4 or 5.

The probability of 4 outcomes out of 6, is:

P = 4/6.

But we have 4 rolls, so we have that probability four times, and the joint probability will be equal to the product of the probabiliities for each roll, then the probability of surviving is:

P = (4/6)^4 = (2/3)^4 = 16/81

5 0
3 years ago
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Cheyenne ran a 5.6-kilometer race in 40 minutes. What was her speed in kilometers per hour? A. 224 B. 8.4 C. 7.1 D. 0.14
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Hey there! :D

Let's find what Cheyenne runs in 10 minutes. 

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Multiply that by 6. (there are 60 minutes in an hour)

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3 years ago
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A spherical raindrop evaporates at a rate proportional to its surface area. Write a differential equation for the volume of the
Zepler [3.9K]

Answer:

Differential equation will be \frac{dV}{dt}=-KV^{\frac{2}{3}}

Step-by-step explanation:

Let V is the volume of the raindrop and surface area of the drop is S.

Since volume of the raindrop reduces at the rate directly proportional to the surface area.

\frac{dV}{dt}\alpha S

Or \frac{dV}{dt}=-k\times S where k is the proportionality constant.

We know volume of the spherical drop V = \frac{4}{3}\pi r^{3}

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\frac{dV}{dt}=-{k}{(4\pi)^\frac{1}{3}}\times (3)^{\frac{2}{3}}V^{\frac{2}{3}}

\frac{dV}{dt}=-{k}{(4\pi)^\frac{1}{3}}\times (9)^{\frac{1}{3}}V^{\frac{2}{3}}

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Since coefficient of V^{\frac{2}{3}} is a constant.

Then (36\pi )\frac{1}{3}=K

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Therefore, differential equation for the volume of the raindrop as function of time will be \frac{dV}{dt}=-KV^{\frac{2}{3}}

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3 years ago
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