Simplify by expressing factional exponents instead of radicals 8√x^2y^4

Mathematics

1 answer:

Leviafan [203]3 years ago

5 0

This could be interpreted 2 ways

8√(x² y⁴) = 8xy²

⁸√(x² y⁴) = x^(1/4) y^1/2)

your welcome

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The cylindrical water tank on a semitrailer has a length of 20 feet. The volume of the tank is equal to the product of pi, the s

Bogdan [553]

Answer:

V = 20πr²

Step-by-step explanation:

In this question, volume of the cylindrical tank has been defined as,

Volume V of the tank = Product of π, the square of the radius of the tank 'r' and the length of the tank 'h'.

Therefore, formula to calculate the formula will be,

V = πr²h

If the length of the cylindrical trailer is,

h = 20 feet

Then the volume of the trailer will be,

V = πr²(20)

V = 20πr²

7 0

3 years ago

Help due soon plss!!!!

Gelneren [198K]

Answer:

Cube=150cm^2

Triangular Prism=228ft^2

Step-by-step explanation:

Cube

$A=6a^2=6*5^2=150cm^2$

Triangular prism

Using these formulas

$A=2A_{B}+(a+b+c)h\\A_{B} =\sqrt{s(s*a)(s*b)(s*c)} \\s=\frac{a+b+c}{2}$

Solving for A

$A=ah+bh+ch+\frac{1}{2} \sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4} \\=6.5*11+5*11+6.5*11+\frac{1}{2} *\sqrt{-6.5^4+2*(6.5*5)^2+2*(6.5*6.5)^2-5^4+2*(5*6.5)^2-6.5^4} \\=228ft^2$

5 0

3 years ago

what is the area, in square inches, of the largest triangle that can fit into a 3-inch by 4-inch rectangle. please show how you

AnnyKZ [126]

The area of the largest triangle would be 6 inches².

How did I get this? I'll explain first:

We would want our triangle to have the longest sides, so it can be big. If you think of a rectangle, a triangle can fit into it if:

The base (bottom) of the triangle is the same length as one side of the rectangle, and the other side of the triangle is perpendicular (90°) to the bottom and is the same length of the other side of the rectangle.

Okay, just picture it: two sides of the triangle are resting in the two sides of the rectangle, and the third side of the triangle is a line that splits the rectangle in half from one corner to the other.

I've added an image to explain.

The formula to find the area of a triangle is half of the base × height.

A of Δ = half of 3 × 4
A = 1.5 × 4 = 6 inches²!