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teagan56
24.07.2019 •
Mathematics
A2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49. a batch of muffins uses 3/4 cup of sugar. how many whole batches can you make if you use as much of the sugar as possible? what is the cost of sugar for each batch? (1 cup = 48 teaspoons; do not consider leftover sugar in the cost calculation.) you can make a total of batches at $ per batch. sider leftover sugar in the cost calculation.)
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Ответ:
Cost of sugar for each batch is ≈($3.49)÷12.77≈$0.273
Ответ:
Area = 8(π + 5) cm²
Perimeter = 2(2π + 11) cm
Step-by-step explanation:
The figure above is composed of a triangle and a semicircle.
Area = area of semicircle + area of triangle
Area = (½πr²) + (½*b*h)
Where,
r = radius = ½ of 8 = 4cm
b = base = 8 cm
h = height = 10 cm
Area = (½*π*4²) + (½*8*10)
Area = (½*π*16) + (4*10)
Area = 8π + 40
Area = 8(π + 5) cm²
Perimeter = perimeter of semicircle + sum of the sides of the triangle.
Perimeter of semicircle = πr = π*4 = 4π cm
One side of the triangle can be calculated using Pythagorean theorem as follows:
Let the side be x.
x² = 10² + 4²
x² = 100 + 16
x² = 116
x = √116 = 10.77 ≈ 11
Sum of both sides = 11+11 = 22cm
Perimeter of the figure = 4π + 22
Perimeter = 2(2π + 11) cm