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melamori03 [73]
1 year ago
15

Which expression is equivalent to 3x^-6y^-3 / 15x^2y^10? Assume x ≠ 0, y ≠ 0

Mathematics
1 answer:
9966 [12]1 year ago
3 0

\textsf {Simplifying the exponents :}

\mathsf {\frac{3x^{-6}y^{-3}}{15x^{2}y^{10}}}

\mathsf {\frac{1}{5x^{(2+6)}y^{(10+3)}}}

\mathsf {\frac{1}{5x^{8}y^{13}}}

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If the base of a square pyramid is 9 centimeters, and it has a volume of 324 cubic centimeters, what is the height of the pyrami
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A

The volume (V) of a pyramid is found using the formula

V = \frac{1}{3} × area of base × height(h)

area of base = 9² = 81 ← area of a square, hence

324 = \frac{1}{3} × 81 × h = 27h ( divide both sides by 27 )

h = \frac{324}{27} = 12 → A



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4 0
3 years ago
Tell whether the angles are adjacent or vertical. Then find the value of x.
krok68 [10]

Answer : The angles are vertical angles and the value of x is 25^o

Step-by-step explanation :

Adjacent angles : It is defined as the two angles that have the common arm and common vertex.

Vertical angles : It is defined as the two lines intersect each other and form angles. The opposite angles are known as vertically opposite angles.

And we know that the vertically opposite angles are equal.

In the given image, the angles are vertical angles and vertically opposite angles are equal.

So,

(4x-25)^o=75^o

4x-25^o=75^o

4x=75^o+25^o

4x=100^o

x=\frac{100^o}{4}

x=25^o

Therefore, the angles are vertical angles and the value of x is 25^o

6 0
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Answer:

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Step-by-step explanation:

3 0
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If you divide 8400 by 14000. You will see that $8400 is 60% (.60 in the calculator) you need to subtract that from 100 to find the discount. 100-60= 40

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3 years ago
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