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qaws [65]
2 years ago
8

a circle has a center at 8,2 the point 3, 7 is on the circle, what is the area of the circle to the nearest tenth

Mathematics
1 answer:
BartSMP [9]2 years ago
6 0
We have to calculate the radius
Radius: Distance between the points (8,2) and (3,7)

Given two points (x₁,y₁) and (x₂,y₂) the distance between these points will be:
Distance=√((x₂-x₁)²+(y₂-y₁)²)

In this case:
Distance=radius=√((3-8)²+(7-2)²)=√(25+25)=√50

Area of a circle=πr²
Data:
r=√50

Therefore:
Area of this circle=π((√50)  u)²=50π u²≈157.1 u².

Answer: the area would be:    50π u²      or        157.08 u²
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Jamal pays $29.25 for 3 pounds of cocoa powder. Assume that the cost y, in dollars, is proportional to the amount of cocoa powde
sammy [17]

Answer:

Step-by-step :

Your answer

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9.75

Mark it as Brainlist answer. Follow me.

Mark it as Brainlist answer. Follow me.

3 0
2 years ago
Using fermat's little theorem, find the least positive residue of $2^{1000000}$ modulo 17.
torisob [31]
Fermat's little theorem states that
a^p≡a mod p

If we divide both sides by a, then
a^{p-1}≡1 mod p
=>
a^{17-1}≡1 mod 17
a^{16}≡1 mod 17

Rewrite
a^{1000000} mod 17  as
=(a^{16})^{62500} mod 17
and apply Fermat's little theorem
=(1)^{62500} mod 17
=>
=(1) mod 17

So we conclude that
a^{1000000}≡1 mod 17

6 0
3 years ago
Which equation matches the graph below?
Oksana_A [137]

Answer:Given that the graph shows tha the functión at x = 0 is below the y-axis, the constant term of the function has to be negative. This leaves us two possibilities:

y = 8x^2 + 2x - 5 and y = 2x^2 + 8x - 5

To try to discard one of them, let us use the vertex, which is at x = -2.

With y = 8x^2 + 2x - 5, you get y = 8(-2)^2 + 2(-2) - 5 = 32 - 4 - 5 = 23 , which is not the y-coordinate of the vertex of the curve of the graph.

Test the other equation, y = 2x^2 + 8x - 5 = 2(-2)^2 + 8(-2) - 5 = 8 - 16 - 5 = -13, which is exactly the y-coordinate of the function graphed.

Step-by-step explanation:

6 0
3 years ago
Polygon ABCD is plotted on a coordinate plane. If the polygon translates 3 units to the left and 1 unit down, the length of diag
torisob [31]

Answer:

2 and remains the same

Step-by-step explanation:

5 0
2 years ago
A set of a thousand numbers has a mean of zero.
Alona [7]

We want to find the mean of two elements in a set, given that we know the other elements of the set and the mean of the whole set.

The answer is: -490

-----------------------------

For a set with N elements {x₁, x₂, ..., xₙ} the mean is given by:

M = \frac{x_1 + x_2 + ... + x_n}{N}

Here we know that:

  • The mean of the set is 0.
  • The set has 1000 elements.
  • 998 of these elements are ones, the other two are A and B.

We want to find the mean of the values of A and B.

First, we can start by writing the equation for the mean:

\frac{1 + 1 + 1 + ... A + B}{1000}  = 0

We can rewrite this as:

1 + 1 + 1 +... + A + B = 0

And we have 998 ones, then:

1 + 1 + 1 +... + A + B = 998 + A + B = 0\\\\B = - 998 - A

Now we have B isolated.

With this, the mean of A and B can be written as:

\frac{A + B}{2}  = \frac{A - 980 - A}{2} = -490

So we can conclude that the mean of the other two numbers is -490.

If you want to learn more, you can read:

brainly.com/question/22871228

5 0
2 years ago
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