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BabaBlast [244]
3 years ago
8

What is the equation of the circle?

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
8 0

Answer:

x² + y² = 3

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

Using Pythagoras' identity in right triangle CRT

CR² = 1² + (\sqrt{2} )² = 1 + 2 = 3 ( take the square root of both sides )

CR = r = \sqrt{3} , then

x² + y² = (\sqrt{3} )² , that is

x² + y² = 3

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Find the measure of the indicated angle to the nearest degree.
pentagon [3]

Twenty- four . .......

7 0
2 years ago
How do I find the area of a triangle with a base of 3 and height of 6
Schach [20]
You can multiply 3 and 6 together then divide the product by 2
(6*3)/2=18/2=9
6 0
3 years ago
The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that
tekilochka [14]

Answer:

a) P(X∩Y) = 0.2

b) P_1 = 0.16

c) P = 0.47

Step-by-step explanation:

Let's call X the event that the motorist must stop at the first signal and Y the event that the motorist must stop at the second signal.

So, P(X) = 0.36, P(Y) = 0.51 and P(X∪Y) = 0.67

Then, the probability P(X∩Y) that the motorist must stop at both signal can be calculated as:

P(X∩Y) = P(X) + P(Y) - P(X∪Y)

P(X∩Y) = 0.36 + 0.51 - 0.67

P(X∩Y) = 0.2

On the other hand, the probability P_1 that he must stop at the first signal but not at the second one can be calculated as:

P_1 = P(X) - P(X∩Y)

P_1 = 0.36 - 0.2 = 0.16

At the same way, the probability P_2 that he must stop at the second signal but not at the first one can be calculated as:

P_2 = P(Y) - P(X∩Y)

P_2 = 0.51 - 0.2 = 0.31

So, the probability that he must stop at exactly one signal is:

P = P_1+P_2\\P=0.16+0.31\\P=0.47

7 0
3 years ago
Alice says that all the factors of 8 are even.
Rom4ik [11]
1 is not even yet it is a factor of 8. Alice is wrong.
6 0
2 years ago
What are three powers that have values greater than 500 and less than 550
igomit [66]

Solution:

The three powers whose value is greater than 500 and less than 550 can be find by following procedure.

We will solve this problem by Hit and trial method by finding the squares, cubes, fourth power, Fifth Power,...etc. of different natural numbers.

23²= 529

8³ = 8 × 8 × 8 =512

2^8=512

The three powers are →→→Eighth power of 2, Square of 23, and Cube of 8.

8 0
3 years ago
Read 2 more answers
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