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grigory [225]
3 years ago
5

A circle is inscribed in a square. Each side of the square is 10 centimeters long.

Mathematics
1 answer:
xeze [42]3 years ago
5 0

Answer:

25pi

Step-by-step explanation:

The side of the square tailors the diameter of the circle; hence the diameter

D =10cm

From Area of Circle , A = pi * r^2

A = pi * (10/2) ^2

A= pi * 25= 25 pi

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Suppose you just received a shipment of twelve televisions. Three of the televisions are defective. If two televisions are rando
qwelly [4]

Answer: The probability that both televisions work is 0.5625 .

The probability at least one of the two televisions does not​ work is 0.4375.

Step-by-step explanation:

Given : Number of televisions received in shipment= 12

Number of defective televisions received in shipment= 3

Then proportion of defective televisions =\dfrac{3}{12}=0.25

Using binomial probability formula, the probability of getting success in x trials is given by :-

P(x)=^nC_xp^x(1-p)^{n-x}

If two televisions are randomly​ selected, then the probability that both televisions work will be :-

P(0)=^2C_0(0.25)^0(0.75)^2=(0.75)^2=0.5625

The probability at least one of the two televisions does not​ work will be :-

P(x\geq1)=1-P(0)=1-0.5625=0.4375

6 0
2 years ago
What other information do you need to prove INF=CAT by the ASA postulate
Simora [160]
D. NI = AC is the needed information to prove ΔINF = ΔCAT by the ASA Postulate.

For the triangles to be congruent by ASA, the measurements of two angles and one side must be proven congruent. Since two sets of congruent angles are already given, one side must also be congruent.
When proving congruency using ASA, the congruent parts of the triangles must be in this order: Angle, Side, Angle. So, you have to the side that is between the two sets of congruent angles.
4 0
3 years ago
Read 2 more answers
On Monday, during a one day sale, the price of a suit was decreased by 20%. On Tuesday, the price of the suit was changed back t
nignag [31]

Answer:

25%

Step-by-step explanation:

If we consider the original price of the piece of suit is x.

Given that, on Monday during a one day sale, the price of the suit was decreased by 20%.

Therefore, the new price of the suit on Monday is x( 1 - \frac{20}{100}) = 0.8x.

Now, the price of the suit on Tuesday was changed back to the original price i.e. x.

Therefore, the price is increase by (x - 0.8x) = 0.2x from the price of 0.8x.

So, the percentage change in price of the suit on Tuesday is \frac{0.2x}{0.8x} \times 100 = 25%. (Answer)

8 0
3 years ago
Neil has 3 partially full cans of white paint. they contain 1/3 gallon, 1/5 gallon, and 1/2 gallon of paint. About how much pain
daser333 [38]

Answer: The answer is A

Step-by-step explanation: When you add 1/2+1/5+1/3 it equals 31/30 which when converted is equal to 1.033 which is less than 1 1/2.

6 0
3 years ago
Answer only one question​ No 1 only​
Svet_ta [14]

-10369

too lazy but that's the exact value

4 0
2 years ago
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