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3 years ago

Find the value of x.

Mathematics

2 answers:

Pie3 years ago

8 0

Answer:

x = √72 and yes, it forms a Pythagorean triple

Step-by-step explanation:

a^2 + b^2 = c^2,

3 is a, x is b, anf 9 is c

3^2 + x^2 = 9^2

9 + x^2 = 81

Subtract 9 from both sides

x^2 = 72

x = √72

a Pythagorean triple is a^2 + b^2 = c^2, and this has it

nekit [7.7K]3 years ago

7 0

Answer:

X = 9.4

Step-by-step explanation:

Pythagorean Theorem:

<u>Formula: a² + b² = c²</u>

9 x 9 = 81
3 x 3 = 9
81 + 9 = 90
√90 = 9.48 (Rounded 9.5)

- A Pythagorean triple consists of any three positive integers.

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The volume of a cube is 216 in.³. What is the perimeter of the base of the cube?

Arlecino [84]

Answer:

Perimeter of the base of the cube= $24\,inches$

Step-by-step explanation:

A cube is a three dimensional figure that has all of its sides equal.

Volume of a cube can be find by the formula:

$Volume=(Side)^3$

For,

$Volume=216\,inches^3$

$216=(Side)^3\\\\Side=\sqrt[3]{216}\\$

The cube root of '216' = 6

$Side=6\,inches$

The base of a cube has four equal sides :

Perimeter of the base of the cube= $4\times Side$

$=4\times 6\\\\Perimeter=24\,inches$

The Perimeter of the base of the cube is: $24\,inches$

3 0

4 years ago

John wants to invest P dollars at a 4% interest rate. After 5 years the investment will be worth 2000 dollars. How much will it

Lunna [17]

Answer:

About $2530.63

Step-by-step explanation:

The formula for this kind of calculation is $A=P(1+\frac{r}{n})^{nt}$ , where P is the initial investment, r is the interest rate, n is the number of times you compound your investment per year, and t is the number of years. Assuming that you compound yearly, plugging in the numbers that you have given, you are left with: