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Alla [95]
2 years ago
6

Triangle ABC has perimeter 22 cm.

Mathematics
1 answer:
Serggg [28]2 years ago
3 0

Answer:

Step-by-step explanation:

A = 8 cm

B = 5 cm

C = 22 - 8 - 5 = 9 cm

Use the Pythagreom Theroem (a^2 + b^2 = c^2) if the two sides are equal to one another than it is a right triangle.

8^2 + 5^2 = 9^2

64 + 25 = 81

89 = 81

89 does not equal 81, so this is not a right triangle.

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At an ocean-side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water t
grandymaker [24]

Answer:

(a1) The probability that temperature increase will be less than 20°C is 0.667.

(a2) The probability that temperature increase will be between 20°C and 22°C is 0.133.

(b) The probability that at any point of time the temperature increase is potentially dangerous is 0.467.

(c) The expected value of the temperature increase is 17.5°C.

Step-by-step explanation:

Let <em>X</em> = temperature increase.

The random variable <em>X</em> follows a continuous Uniform distribution, distributed over the range [10°C, 25°C].

The probability density function of <em>X</em> is:

f(X)=\left \{ {{\frac{1}{25-10}=\frac{1}{15};\ x\in [10, 25]} \atop {0;\ otherwise}} \right.

(a1)

Compute the probability that temperature increase will be less than 20°C as follows:

P(X

Thus, the probability that temperature increase will be less than 20°C is 0.667.

(a2)

Compute the probability that temperature increase will be between 20°C and 22°C as follows:

P(20

Thus, the probability that temperature increase will be between 20°C and 22°C is 0.133.

(b)

Compute the probability that at any point of time the temperature increase is potentially dangerous as follows:

P(X>18)=\int\limits^{25}_{18}{\frac{1}{15}}\, dx\\=\frac{1}{15}\int\limits^{25}_{18}{dx}\,\\=\frac{1}{15}[x]^{25}_{18}=\frac{1}{15}[25-18]=\frac{7}{15}\\=0.467

Thus, the probability that at any point of time the temperature increase is potentially dangerous is 0.467.

(c)

Compute the expected value of the uniform random variable <em>X</em> as follows:

E(X)=\frac{1}{2}[10+25]=\frac{35}{2}=17.5

Thus, the expected value of the temperature increase is 17.5°C.

7 0
3 years ago
5+3=4d please help me
ad-work [718]
So the object of this problem is to find out the value of d.

To do this, first think about 5 + 3. This equals 8, right? So the value of d times 4 has to equal 8.

No other number besides 2 would make sense. 2 would equal d because 4 x 2 is 8, and 5 + 3 is 8.

So you would write the answer as:

5+3=4(2)
4 0
2 years ago
Read 2 more answers
The equation y=7.6x represents a proportional relationship what is the constant of proportionality?
prisoha [69]

Answer:

Option B. 7.6

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

where

k is the constant of proportionality

The slope of the linear equation is the same that the constant of proportionality

In this problem we have

y=7.6x

so

the slope is m=7.6

therefore

The constant of proportionality k is k=7.6

5 0
3 years ago
If a person weighs 130 Ibs and they lose 1/10 of their weight.How much weight was lost
vampirchik [111]

Answer:

13 lbs

Step-by-step explanation:

to find 1/10 we divide by 10

This can be found by moving the decimal back by one

So 130/10=13

13 lbs were lost

8 0
3 years ago
Simplify 2.4 : 0.88 : 4.8 as ratios
vovangra [49]

Answer:

61:22:120

Step-by-step explanation:

Multiply each by 100

244:88:480

Now simply

122:44:240

61:22:120

(Just check to see or compare with others to see if answer is right)

5 0
2 years ago
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