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Shalnov [3]
3 years ago
7

Find volume of the foam

Mathematics
1 answer:
Roman55 [17]3 years ago
8 0

Answer:

35 cubic feet

Step-by-step explanation:

127 137

If you divide the foam into 2 rectangular prisms, you will get a rectangular prism with dimensions of 1 * 2 * 7, and another prism with dimensions of 1 * 3 * 7. You find the separate volumes of each, and get 14 ft^3, and 21 ft^3. You add these together to get 35 ft^3

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An amusement park offers an entrance fee discount of 20% to children under 6 years of age and seniors 65 or older. What is the r
Temka [501]

Answer:

  [0, 6) ∪ [65, ∞)

Step-by-step explanation:

Ages under 6 will be in the interval [0, 5], or in the interval [0, 6), as you may wish.

Ages 65 or older will be in the interval [65, ∞).

The union of these two intervals is ...

  [0, 6) ∪ [65, ∞)

5 0
3 years ago
For the given line segment, write the equation of the perpendicular bisector.
Jlenok [28]

Answer:

D) y = -4/5x – 47/10

Step-by-step explanation:

Step 1. Find the <em>midpoint of the segmen</em>t.

The two end points are (-6, -4) and (-2, 1).

The midpoint is at the average of the coordinates.

(xₚ, yₚ) = ((x₁ + x₂)/2, (y₁ + y₂)/2)

(xₚ, yₚ) = ((-6 - 2)/2, (-4 + 1)/2)

(xₚ, yₚ) = (-8/2, -3/2)

(xₚ, yₚ) = (-4, -3/2)

===============

Step 2. Find the <em>slope (m₁) of the segment</em>

m₁ = (y₂ - y₁)/(x₂ - x₁)

m₁ = (1 - (-4))/(-2 - (-6))

m₁ = (1 + 4)/(-2 + 6)

m₁ = 5/4

===============

Step 3. Find the <em>slope (m₂) of the perpendicular bisector </em>

m₂ = -1/m₁

m₂ = -4/5

====================

Step 4. Find the <em>intercept of the perpendicular bisector</em>

y = mx + b

y = -(4/5)x + b

The line passes through (-4, -3/2).

-3/2 = -(4/5)(-4) + b

-3/2 = 16/5 + b      Multiply each side by 10

 -15 = 32 + 10 b    Subtract 32 from each side

 -47 = 10b             Divide each side by 10

    b = -47/10

===============

Step 5. Write the <em>equation for the perpendicular bisector</em>

y = -4/5x – 47/10

The graph shows the midpoint of your segment at (-4, -3/2) and the perpendicular bisector passing through the midpoint and (0, -47/10).

4 0
3 years ago
You own a lawn care business. in a typical week you drive 600 miles and use 40 gallons of gasoline. gasoline costs $1.25 per gal
iVinArrow [24]
42.50$ ?        21 times 1.25  plus 13 times 1.25 = 42.50?  
4 0
3 years ago
A jewelry box has a volume of 14 cubic inches. The area is 7 square inches. What is the height of the jewelry box.
sammy [17]

Answer:

2 inches

Step-by-step explanation:

a=Lw

v=lwh

lw= 7

14/7=2

6 0
3 years ago
Given h()<br> - 4x - 4, solve for a when h(x)<br> -8.
Ilia_Sergeevich [38]

Answer:

28

Step-by-step explanation:

this is a function

if h(x) is -8 you would plug it in for x:

-4(-8) -4 a negative × a negative is a positive

32- 4= 28

7 0
3 years ago
Read 2 more answers
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