For the square to fit inside the circle without touching it, the diagonal of the square needs to be less than the diameter of the circle.
Using the Pythagorean theorem we can calculate the diagonal of the square:
X = SQRT(5^2 + 5^2)
X = SQRT(25 + 25)
X = SQRT(50)
X = 7.07
The diagonal of the square is 7.07 cm, which is less than the diameter of the circle, 9cm, so it will fit .
Answer:
i think its 30.
Step-by-step explanation:
Brainliest?
Answer:
Step-by-step explanation:
Okay, so hopefully my crude diagram helps you visualize the problem. When in doubt, always draw a picture.
All I did was graph the points and formed a line.
Slope: It's going to be 0 because it doesn't change at all (no different y values)
(y2-y1)/(x2-x1) = (6-6) / (4-2) = 0/2 = 0
Y intercept is where the line crosses the y axis- this is also where x=0 (find it in your chart!)
Equation is y= 6; I don't know how to explain this, but trust me, it's right
Answer and Step-by-step explanation:
For these system of equations, it would be easier to use the substitution method, as we are have one equation that is being equaled to a variable.
Plug the second equation into the value of b for the first equation.
5a + 3(-2a + 3) = 11
Distribute the 3.
5a - 6a + 3 = 11
Simplify.
-a + 3 = 11
Subtract 3 from both sides of the equation.
-a = 8
Divide both sides by -1.
a = -8
Now, we can plug this value into the second equation.
-2(-8) + 3 = b
Multiply -2 and -8 together.
16 + 3 = b
Add together 16 and 3.
19 = b
<u>a = -8</u>
<u>b = 19</u>
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Divide 6 and 1,500 by each other and you will get 250 so 250 is your answer