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scoundrel [369]
2 years ago
13

The equation of a circle is x2 + y2 = 56.25. Find the radius of the circle?

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
7 0

Answer:

r = 7.5

Step-by-step explanation:

Circle equation: (x - h)^2 + (y - k)^2 = r^2

Since we are already give <em>r²</em>, we simply just take the square root of 56.25, and we should get 7.5 as our final answer!

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Is 48 a perfect cube? Explain your reasoning.
Ksivusya [100]

Answer:

No

Reasoning:

If something is a perfect cube, it is able to be put under a cube root (\sqrt[3]{..}) and will result in an integer (a non-decimal number > 0, basically).

So let's calculate \sqrt[3]{48}, and see if the result is an integer.

\sqrt[3]{48} = 3.634.......

As you can see, the result is not an integer, therefore 48 is not a perfect cube.

8 0
2 years ago
The hypotenuse of a 45°-45°-90° triangle measures 128 cm. A right triangle is shown. The length of the hypotenuse is 128 centime
Aleks [24]

Answer:

64√2 or 64 StartRoot 2 EndRoot

Step-by-step explanation:

A 45-45-90 traingle is a special traingle.  Let's say one of the leg of the triangle is x. The other one is also x because of the isosocles triangle theorem.  Therefore, using the pytagorean theorem, you find that x^2+x^2=c^2.  2(x)^2=c^2.  You then square root both sides and get c= x√2.  

Therefore, the two legs are x and the hypotenuse is x√2.  x√2=128 because the question says that the hypotenuse is 128.  Solve for x by dividing both sides by √2.  X=128/√2.  You rationalize it by multiplying the numberator and denominator of the fraction by √2.  √2*√2= 2.

X=(128√2)/2= 64√2 cm.

Since X is the leg, the answer would be 64√2

3 0
3 years ago
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maxonik [38]

Answer:

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Type an equivalent expression to show the relationship of multiplication and addition<br> 7+7+7+7+7
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Yes, i dont know why.
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