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3 years ago

10

You are a volunteer at a physical therapy clinic. A set of stairs you use to help patients is shown with its dimensions. What is

the volume of the set of stairs?

1 answer:

Alex73 [517]3 years ago

3 0

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Simplify the radical

mamaluj [8]

Answer:

$9d^3$

Step-by-step explanation:

$~~~\sqrt{81 d^6}\\\\=\left(81 d^6 \right)^{\tfrac 12}\\\\=\left(81\right)^{\tfrac 12} \cdot \left(d^6 \right)^{\tfrac 12}\\\\=\left(9^2 \right)^{\tfrac 12} \cdot d^{\tfrac 62}\\\\=9d^3$

4 0

2 years ago

Cylinder height of 7 and a radius of 4 cm. How many cubic centimeters of fluid can fill this cylinder

Alex Ar [27]

Answer:

112π = 351.86 cubic centimeters of fluid to fill the cylinder

Step-by-step explanation:

The volume of cylinder = πr²h⇒ r its radius , h its height

V = π(4)²(7) = 112π = 351.86 cm³

4 0

3 years ago

Determine the unit rate then determine the better buy Option A: a 4 pack of 3.2-ounce servings of apple sauce for $2.50 or Optio

Greeley [361]

Answer:The better buy Option is A

Step-by-step explanation:

4 0

3 years ago

1. Match the polynomial identity to the correct answer.

Katen [24]

Answer:

$a: (a-b)(a+b);b: (a-b)(a^{2}+ab+b^{2}); c: (a^{2} +2ab+b^{2}); d: (a+b)(a^{2}- ab+b^{2})$

Step-by-step explanation:

Given the expressions all that is required is to expand them (using the distributive property) to see which answers they match up to:

For a: $(a-b)(a+b)=a^{2} +ab-ab-b^{2} =a^{2}-b^2$

For b: $(a-b)(a^2+ab+b^2)=a^3+a^2b+ab^2-a^2b-ab^2-b^3=a^3-b^3$

For c calculate the square of a sum: $(a+b)^2=a^2+ab+ab+b^2$

(add like terms) c: $a^2+2ab+b^2$

For d: $(a+b)(a^2-ab+b^2)=a^3-a^2b+ab^2+a^2b-ab^2+b^3$ $=a^3+b^3$

5 0

3 years ago

If ordered pairs (a, -2) and (4, b) belong to set {(a, b): b=2a-8, find the value of a and b

wel

Answer:

a = 3 b = 0

Step-by-step explanation:

(a,-2) b= -2

-2=2a -8

6=2a

3=a

(4,b) a=4

b=2(4)-8

b=8-8

b=0

3 0

3 years ago