Answer:
the answer is 1 and 3/4
Step-by-step explanation:
Answer:
The minimum width of the placemat is 10 inches.
Step-by-step explanation:
Let suppose that placemat has a square form, whose width must be at least equal to the diameter of the pizza, so that pizza does not touch the table. Hence, the following relationship is obtained:

Where:
- Width of the placemat, measured in inches.
- Diameter of pizza, measured in inches.
The area of the pizza, measured in square inches, is determined by this formula:

The diameter is cleared afterwards:

If
and
, then:


The minimum width of the placemat is 10 inches.
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5a + ( -5 ) - 3a + 10b - 3 - b
( 5a - 3a ) + ( -5 - 3 ) + ( 10b - b )
2a + ( -8 ) + 9b
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Answer:
See answers below.
Step-by-step explanation:
<u>Large Rectangle:</u><u> </u> length x width = (x + 3)(x - 4) =
x² - 4x + 3x - 12
x² - x - 12
<u>Smaller Rectangle:</u> length x width = (x)(3) = 3x
<u>Shaded Region: </u>shaded area = lg. rectangle minus small rectangle
A = (x² - x - 12) - 3x
A = x² - 4x - 12
<u>Solve for x, if shaded reion's area is 48 square units: </u>
48 = x² - 4x - 12
x² - 4x - 12 -48 = 0
x² - 4x - 60 = 0
(x - 10)(x + 6) = 0
x - 10 = 0 or x + 6 = 0
x = 10 or x = -6
But x represents a length, so x cannot be -6.
x = 10
Sin(angle) = Opposite leg / Hypotenuse
Angle = 8 degrees
Opposite leg = 2.3 feet
Sin (8) = 2.3 ft. / Z
Z = 2.3 / sin(8)
Z = 16.5 feet