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worty [1.4K]
3 years ago
14

Find the value of the following expression:

Mathematics
1 answer:
Greeley [361]3 years ago
6 0

Answer:

25

Step-by-step explanation:

Expression: <em>(2⁸ ⋅ 5⁻⁵ ⋅ 19⁰)⁻² ⋅ (5⁻²/2³)⁴ ⋅ 2²⁸</em>

Inner-most powers: 2⁻¹⁶ • 5¹⁰ • 1 • 5⁻⁸/2¹² • 2²⁸

Combine like terms: 2¹² • 5²/2¹²

Cancel out: 5²

Solve: 25

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Answer:

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Step-by-step explanation:

Given:  

Triangle DEF is congruent to Triangle GHJ by the SSS theorem

To find: transformation required to map Triangle DEF onto Triangle GHJ

Solution:

Two figures are said to be congruent if they overlap each other.

Two polygons are said to be congruent if they have same size and shape.

A rotation is a transformation that turns a figure about  the center of rotation.

Rotation transformation is required to map Triangle DEF onto Triangle GHJ

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Answer:

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Step-by-step explanation:

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PtichkaEL [24]

Answer:

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Step-by-step explanation:

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You have a piggy bank a total of 72 coins in dime and quarters . If the piggy bank contains 10.80 how many dime are in the piggy
Anna35 [415]

\text{Make a system of equations:}\\\\72=d+q\\\\10.80=0.10d+0.25q\\\\\text{Solve for d:}\\\\-0.25(72=d+q)\\\\10.80=0.10d+0.25q\\\\-18=-0.25d-0.25q\\\\10.80=0.10d+0.25q\\\\-7.20=-0.15d\\\\\text{Divide by -0.15}\\\\48=d\\\\\boxed{\text{48 dimes}}

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Step-by-step explanation:

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