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spin [16.1K]
4 years ago
12

Mason, a hardwood flooring installer, needs to calculate the amount of hardwood flooring needed to cover a floor that's 33⁄4 yar

ds wide and 51⁄2 yards long. How many square yards of hardwood flooring are needed? (Area = Length × Width)
Mathematics
1 answer:
Aleksandr-060686 [28]4 years ago
3 0

Answer:

20 5/8 yd^2

Step-by-step explanation:

width = 3 3/4 yd

length = 5 1/2 yd

First change both measurements to fractions.

3 3/4 = 3 + 3/4 = 12/4 + 3/4 = 15/4

5 1/2 = 5 + 1/2 = 10/2 + 1/2 = 11/2

area = length * width

area = 15/4 yd * 11/2 yd

area = (15 * 11)/(4 * 2) yd^2

area = 165/8 yd^2

165/8 = 20 remainder 5

area = 20 5/8 yd^2

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7 0
3 years ago
a cone and a sphere have the same volume. the height of the cone is 96 units. what would be the values for the radius of the con
jolli1 [7]

The volume V_c of a cone  with base radius r_c and height h_c is

V_c = \dfrac{1}{3}\pi r_c^2 h_c

Similarly, the volume V_s of a sphere with radius r_s is

V_s = \dfrac{4}{3}\pi r_s^3

We know that V_c=V_s and that h_c=96

So, we can set up the following equation:

\dfrac{96}{3}\pi r_c^2=\dfrac{4}{3}\pi r_s^3

We can simplify the common denominator 3, and pi appearing on both sides:

96r_c^2=4r_s^3

We can divide both sides by 4:

24r_c^2=r_s^3

Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.

3 0
4 years ago
What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)?
BigorU [14]
Y=-3/2x+7/2 is the answer!
7 0
3 years ago
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Lana71 [14]
Cuboid C is 4 and 4. Cuboid D is 2 and 4.
6 0
3 years ago
7. Find the distance between the points (13, 8) and (-12, 6)
Alik [6]

9514 1404 393

Answer:

  √629 ≈ 25.08

Step-by-step explanation:

The distance formula is useful for this.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-12 -13)² +(6 -8)²) = √(625 +4) = √629 ≈ 25.08

The distance between the points is about 25.08 units.

3 0
2 years ago
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