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natulia [17]
3 years ago
14

What is the simplified form of the following expression?

Mathematics
2 answers:
Phoenix [80]3 years ago
8 0
(4/7)³= 4³/7³

Evaluate the exponents
4³= 64
7³= 343

Final answer: 64/343
Vitek1552 [10]3 years ago
8 0

Answer:

The correct option is D.

Step-by-step explanation:

The given expression is

(\frac{4}{7})^3

According to the property of exponent.

(\frac{a}{b})^n=\frac{a^n}{b^n}

Using this property the given expression can be written as

(\frac{4}{7})^3=\frac{4^3}{7^3}

(\frac{4}{7})^3=\frac{64}{343}

The simplified form of the given expression is \frac{64}{343}.

Therefore the correct option is D.

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Step-by-step explanation:

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Find the values of x, y, and z. The diagram is not to scale.
rosijanka [135]

Answer:

x= 81°, z= 99°, y°=68°

Step-by-step explanation:

considering the part of the triangle where 36° , 63° and x° is located as ΔABC.

to find the measure of x we use angle sum property.

We know that the sum of the angles of a triangle is always 180°. Therefore, if we know the two angles of a triangle, and we need to find its third angle, we use the angle sum property. We add the two known angles and subtract their sum from 180° to get the measure of the third angle.

so,

∠A + ∠B +∠C = 180°

36° + 63° + x° = 180°

99° + x° = 180°

x° = 180 - 99

x° = 81°

When two lines intersect each other at a single point, linear pairs of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear. If two angles form a linear pair, the angles are supplementary, whose measures add up to 180°.

x° + z° = 180°

81° + z = 180°

z= 180 - 81

z= 99°

considering the next part of the triangle where 13° , z° and y° is located as ΔACD

to find the measure of y we use angle sum property.

∠A + ∠C + ∠D = 180°

13° + z° + y° = 180°

13°+99°+y°= 180°

112°+ y° = 180°

y°= 180- 112

y° = 68°

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2 years ago
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VikaD [51]

Answer:

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Step-by-step explanation:

To determine this answer, you would use the formula initial value (1 + interest) times the number of years. This would equal 2,000(1.04)t.

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2 years ago
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