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3 years ago

Which property was used to simplify the expression? (3z)^2 = 3^2z^2 = 9z^2

1 answer:

3 0

One of the product rules for exponents was used.
$(ab)^{c}=a^{c}b^{c}$

Or, you can consider that the definition of an exponent and the associative and commutative properties of multiplication were used.
$(3z)^{2}\\=(3z)(3z)\\=3\cdot 3\cdot z\cdot z\\=3^{2}z^{2}\\=9z^{2}$

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Anyone know this i cant figure it out

allochka39001 [22]

Answer:

True False True

Step-by-step explanation:

1. A circle has 360 degrees in its interior. 360 - 130 (this is given) degrees = 230 degrees. This means it's TRUE

2. The area of the shaded sector is the degrees in the central angle that contains the sector, multiplied by the area of the circle. This means that the area is pi*r^2*angle. The radius is 10, and the angle is 230 degrees, so the answer is 100*230/360 pi = 23000/360 pi, which simplifies to 575/9 pi. This is FALSE.

3. The area of the shaded sector is area of the circle - area of the shaded sector. The area of the circle is pi r^2, which is 100 pi. 100 pi - 575/9 pi = 325pi/9, so this is TRUE

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