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2 years ago

Find the indicated real nth root(s) of a. n=3, a=729

Mathematics

1 answer:

marissa [1.9K]2 years ago

6 0

Answer:

Step-by-step explanation:

n=3, a=729

For any odd integer, n ; a will have only one real nth root which will be a positive integer.

Similarly, for any integer, n, that is > 1 ; related by the expression ;

p^n = a ; the nth root of a = p

Therefore,

If n = 3 ; a = 729

p^3 = 729

To obtain the value of p ; take the cube of both sides

(p^3)*1/3 = 729^1/3

p = 9

Hence, the real nth root of 729 is +9 when n = 3

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Can someone please help me and explain if you can

nadezda [96]

Answer:

∠6=116°

Step-by-step explanation:

Buckle up :)

We are given the values of ∠4 $(-2x+94)$ and ∠8 $(-5x+139)$ .

Vertical angles are congruent. Angle 4 and angle 1 are vertical angles, so angle 1 is also $-2x+94$ .
∠1 and ∠8 are alternate exterior angles. The transversal is the line that crosses over the parallel lines. When two angles are on opposite sides of the transversal, they are alternate angles. When the two angles are on the outside of the parallel lines, they are exterior angles. This makes them alternate-exterior angles.
Alternate exterior angles are congruent. This means that ∠1≅∠8. Write an equation in order to solve for x:

$-2x+94=-5x+139$

Solve for x. Subtract 94 from both sides:

$-2x+94-94=-5x+139-94\\\\-2x=-5x+45$

Add 5x to both sides:

$-2x+5x=-5x+5x+45\\\\3x=45$

Divide both sides by 3:

$\frac{3x}{3} =\frac{45}{3} \\\\x=15$

Insert the value of x into angle 4 because they are same-side interior angles. This is because they are on the same side of the transversal and within the parallel lines. Same-side interior angles are supplementary, so their value will add up to 180°. Therefore, in order to find angle 6, we need to first find the true value of angle 4:

$x=15\\\\-2(15)+94\\\\-30+94\\\\64$

∠4 is 64°. Use ∠a+∠b=180 to find angle 6:

$a+64=180$

a represents angle 6. Subtract 64 from both sides:

$a+64-64=180-64\\\\a=116$

Angle 6 has a measure of 116°.

:Done

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2 years ago

A car can travel 60 miles on 3 gallons of gasoline. How far can it travel on 11 gallons of gasoline?

MakcuM [25]

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pantera1 [17]

Answer:

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Step-by-step explanation:

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Again, the function J(y) represents how many weeks per year she spends painting.

So, w = J(y). ...... (2)

Therefore, the composite function which represent how many paintings Jojo completes in a year, is given by

$P = \frac{2}{3} [J(y)] - 2$ (Answer)

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sweet-ann [11.9K]

B is the correct answer

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Sati [7]

Answer:

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Step-by-step explanation:

this what f ;|

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2 years ago

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