She used a 20, 10, 5, and 1, she also used a quarter, nickel, and 2 pennies
Answer:
40π/3 cm^2 ≈ 41.89 cm^2
Step-by-step explanation:
The centerline of the shaded region has a radius of 3cm+(4 cm)/2 = 5 cm. Its length is 1/3 that of the circumference of a circle with that radius (because 120° is 1/3 of 360°).
The area is the product of the centerline length and the width of the shaded area (4 cm).
shaded area = (1/3)(2π(5 cm))(4 cm)
shaded area = 40π/3 cm^2 ≈ 41.89 cm^2
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<em>Alternate solution</em>
The area of the donut is the difference in the areas of the outer and inner circles:
πr₂² -πr₁² = π((7 cm)^2 -(3 cm)^2) = 40π cm^2
The are of the shaded region is (120°/360°) = 1/3 of that, so is
shaded area = (40/3)π cm^2
You must remember that a polynomial is written like so...
ax^2 + bx + c
In this case...
a = 1
b = 3
c = -10
To factor you must find two numbers who both add up to b (3) AND multiply to c (-10)
-2 + 5 = 3
-2 * 5 = -10
so...
(x - 2)(x + 5)
To find the zero you must set each factor equal to zero and solve for for x like so...
x - 2 = 0
x = 2
x + 5 = 0
x = -5
Hope this helped!
~Just a girl in love with Shawn Mendes
The blue print has a scale of 1:20. So every 1 inch represents 20 inches of the actual size. so 3 inches represents 20*3 of the actual table = 60 inches
12 inches is 1 feet
so 60 inches =60/12 = 5 feet
The correct answer is 5 feet.
Answer:
3x(x^2+3x-5) - factorised
Step-by-step explanation:
