A pizzeria makes brick-oven pizzas that are shaped like long rectangles with semi-circles at two ends. The pizzas come in three different sizes, which are measured by the longer side of each rectangle: 14 inches, 18 inches, and 29 inches. All of the pizzas are 10 inches wide, so the semi-circles at the ends have diameters of 10 inches, too. What is the area of each pizza? Use 3.14 for ? , and round your answers to the nearest tenth if necessary.
Answers
Answer:
Area of pizza whose longer side is of length is 14 inches = 218.5
Area of pizza whose longer side of rectangle is 18 inches=258.5
Area of pizza whose longer side is of length is 29 inches = 368.5
Step-by-step explanation:
Given A pizzeria makes brick-oven pizzas that are shaped like long rectangles with semi-circles at two ends. The pizzas come in three different sizes, which are measured by the longer side of each rectangle: 14 inches, 18 inches, and 29 inches. All of the pizzas are 10 inches wide, so the semi-circles at the ends have diameters of 10 inches. we have to find the area of each pizza.
First, let us find the area of pizza whose longer side of rectangle is 14 inches
Area of 2 semicircles whose diameter is 10 inches
Length = 14 inches
Breadth = 10 inches
Area of rectangle =
=
∴ Area of pizza whose longer side is of length is 14 inches = Area of rectangle + area of 2 semicircles
=140+78.5=218.5
Now, let us find the area of pizza whose longer side of rectangle is 18 inches
Length = 18 inches
Breadth = 10 inches
Area of rectangle =
=
∴ Area of pizza whose longer side is of length is 18 inches = Area of rectangle + area of 2 semicircles
=180+78.5=258.5
Now, let us find the area of pizza whose longer side of rectangle is 29 inches
Length =29 inches
Breadth = 10 inches
Area of rectangle =
=
∴ Area of pizza whose longer side is of length is 29 inches = Area of rectangle + area of 2 semicircles
=290+78.5=368.5
Final answer:
To calculate the area of pizzas shaped like rectangles with semi-circular ends, we calculate the area of the rectangle and adjacent semi-circles separately then sum both. The rectangle's area is calculated as length times width while the semi-circle area is calculated as half of (pi*radius^2).
Explanation:
The area of a pizza that's shaped like a long rectangle with semi-circles at the ends can be calculated by first looking at the rectangle and then the semi-circles. For the rectangles, we use the formula for the area of a rectangle that is, length multiplied by width.
For the 14 inch pizza, the rectangle part:
Area = Length x Width = 14 x 10 = 140 square inches
The area of the semi-circle can be calculated as Area=1/2πr². The diameter is given as 10. So, the radius (r) will be half of the diameter, which is 5. Therefore, Area of each semi-circle = 1/2 x π x 5² = 1/2 x 3.14 x 25 = 39.25 square inches. The combined area of two such semi-circles will be = 39.25 x 2 = 78.5 square inches.
Adding the area for the rectangle and the semi-circles, the total area of each pizza will be 140 + 78.5 = 218.5 square inches.
Following these same steps, we can calculate the areas for the 18 inch and 29 inch pizzas.
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Step-by-step explanation:
just got it right on plato
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Step-by-step explanation:
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Tomar get $96.00 to works 8 hours.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
When Tomar works 5 hours, he gets paid $60.00.
Now,
Since, When Tomar works 5 hours, he gets paid $60.00.
So, The amount to get in 1 hour = $60.00 / 5
= $12
Thus, The amount to get works in 8 hour = $12 x 8
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Therefore, Tomar get $96.00 to works 8 hours.
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Step-by-step explanation: