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3 years ago

Which expression is equivalent to 25^1/3 * 25^1/6?

1 answer:

3 0

Option C: 5
The bases are the same, so add the exponents
1/3 + 1/6 = 1/2
1/2 power is the same as the square root.
25^1/2 = 5

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vovangra [49]

The answer is 19 lol

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2 years ago

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Each side of a square is increasing at a rate of 6cm/s. At what rate is the area of the square increasing when the area of the s

diamong [38]

Area of a square = length²
A = x²
16 = x²; x = 4
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dx/dt = 6 cm/s
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3 years ago

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2 years ago

0.1% of what number is 4?

nikklg [1K]

Let the number be x

Explanation:

0.1 % of x = 4
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1 year ago

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In the diagram, the straight line ABC is parallel to EFG and DB is parallel to FC. Given that ABD=38 degrees and DFE=62 degrees.

Elanso [62]

Based on the calculations, the measure of angle BDF and CFG are 100° and 38° respectively.

<h3>The condition for two parallel lines.</h3>

In Geometry, two (2) straight lines are considered to be parallel if their slopes are the same (equal) and they have different y-intercepts. This ultimately implies that, two (2) straight lines are parallel under the following conditions:

m₁ = m₂

<u>Note:</u> m is the slope.

<h3>What is the alternate interior angles theorem?</h3>

The alternate interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

Based on the alternate interior angles theorem, we can infer and logically deduce the following properties from the diagram (see attachment):

<ABD = <BDH = 38°

<DFE = <HDF = 62°

For angle BDF, we have:

<BDF = <BDH + <HDF

<BDF = 38° + 62°

<BDF = 100°.

Since angles BDF and DFC are linear pair, they are supplementary angles. Thus, we have:

∠BDF + <DFC = 180°

<DFC = 180 - ∠BDF

<DFC = 180 - 100

<DFC = 80°.

For angle CFG, we have:

∠DFE + <DFC + <CFG= 180°

<CFG = 180° - ∠DFE - <DFC

<CFG = 180° - 62° - 80°

<CFG = 38°.

Read more on parallel lines here: brainly.com/question/3851016

#SPJ1

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2 years ago