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2 years ago

Which is equivalent to 3√8* ? O x √8^3 O 8 ^3/x O 8 ^x/3 O 8^3x

Mathematics

1 answer:

Leni [432]2 years ago

6 0

Answer:

O 8 ^x/3

Step-by-step explanation:

Remember that :

$\sqrt[n]{x} = x^\frac{1}{n}$

………………………………

Then

$\sqrt[n]{8^x} = (8^{x})^{\frac{1}{3}}$

$= 8^{x\times\frac{1}{3}$

$=8^{\frac{x}{3}$

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Step-by-step explanation:

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The circle below has center O , and its radius is 5yd . Given that =m∠AOB30° , find the length of the major arc ACB . Give an ex

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3 years ago

This question has three parts. Answer the parts in order.

nalin [4]

Answer:

The area of the smallest section is $A_{1}=100yd^{2}$

The area of the largest section is $A_{2}=625yd^{2}$

The area of the remaining section is $A_{3}=250yd^{2}$

Step-by-step explanation:

Please see the picture below.

1. First we are going to name the side of the larger square as x.

As the third section shares a side with the larger square and the four sides of a square are equal, we have the following:

- Area of the first section:

$A_{1}=10yd*10yd$

$A_{1}=100yd^{2}$

- Area of the second section:

$A_{2}=x^{2}$ (Eq.1)

- Area of the third section:

$A_{3}=width*length$

$A_{3}=10yd*x$ (Eq.2)

2. The problem says that the total area of the enclosed field is 975 square yards, and looking at the picture below, we have:

$A_{1}+A_{2}+A_{3}=975yd^{2}$

Replacing values:

$100+x^{2}+10x=975$

Solving for x:

$x^{2}+10x-875=0$

$x=\frac{-10+\sqrt{100+(4*875)}}{2}$

$x=\frac{-10+\sqrt{3600}}{2}$

$x=\frac{-10+60}{2}$

$x=25$

3. Replacing the value of x in Eq.1 and Eq.2:

- From Eq.1:

$A_{2}=25^{2}$

$A_{2}=625yd^{2}$

- From Eq.2:

$A_{3}=10*25$

$A_{3}=250yd^{2}$

3 0

3 years ago

$2,000 loan at 8% for 5 years.

Harman [31]

Answer:

$2,800 = Principle + Interest

Step-by-step explanation:

Using PRT/100, let's find the interest.

=> 2,000 x 8 x 5/100
=> 20 x 8 x 5
=> $800

Conclusion:

Therefore, the interest plus principle is 2,000 + 800, which is $2,800.

Hoped this helped.

$BrainiacUser1357$

8 0

3 years ago

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