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astra-53 [7]
3 years ago
13

HELP NOW PLEASEEEEEEEEEEEE ANSWER NEEDS TO B POSITIVE

Mathematics
2 answers:
alisha [4.7K]3 years ago
8 0

Answer:

1

Step-by-step explanation:

So first we do (x^5)^2 which we know is just x^10 because of exponents of powers I believe it's called, basically you just multiply the two powers.

Then you do the bottom half which is x^3 * x^7 and that equals x^10 because of the product of exponent rule,

Then we do x^10/x^10 which = 1 because the same number over the same number is always 1.

Let me know if you have any questions

boyakko [2]3 years ago
3 0

Answer:

Solving the expression: \frac{(x^5)^2}{(x^7)(x^3)} the answer is 1

Step-by-step explanation:

We need to solve the expression: \frac{(x^5)^2}{(x^7)(x^3)}

We know that exponent rule: (a^m)^n=a^{m*n}

Applying this rule in numerator

\frac{(x^5)^2}{(x^7)(x^3)}\\=\frac{(x^{5*2})}{(x^7)(x^3)}\\=\frac{(x^{10})}{(x^7)(x^3)}

We know the exponent rule: (a^m).(a^n)=a^{m+n}

=\frac{(x^{10})}{x^{7+3}}\\=\frac{(x^{10})}{x^{10}}

Now, using the exponent rule: \frac{a^m}{a^n}=a^{m-n}

=x^{10-10}\\=x^0

We know that a^0=1

So, x^0=1

Solving the expression: \frac{(x^5)^2}{(x^7)(x^3)} the answer is 1

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3 years ago
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monitta

Answer:

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Step-by-step explanation:

1. Approach

The easiest method to solve this problem is to use the Pythagorean theorem to find the height of the cone. Then one can substitute the values given and found on the cone into the formula to find the surface area in order to solve for the surface area of the given cone.

2. Height of the cone

Imagine drawing a line from the tip of the cone down to the center of the base. This line will form a right angle with the base, thus, a right triangle is formed between the line, the radius (the distance from the center to the circumference or outer edge on a circle) of the base, and the incline of the cone. The Pythagorean theorem is a formula that relates the sides of a right triangle. This formula is as follows:

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Where (a) and (b) are the legs or the sides adjacent to the right angle of the right triangle, and (c) is the hypotenuse or the side opposite the right angle of the right triangle. Substitute the given values into the formula and solve for the unknown, or rather the height of the cone:

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A=\pi r(r+\sqrt{h^2+r^2})

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Simplify,

A=\pi 5(5+\sqrt{12^2+5^2})

A=\pi 5(5+\sqrt{144+25})

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A=\pi 5(5+13)

A=\pi 5(18)

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