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1 answer:
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Answer:
D. 5 inches
Step-by-step explanation:
Given:
A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter.
That means complete angle having 360° is divided into 3 section.
The central angle formed by the peach cobbler is 105 degrees.
The central angle formed by the pasta is 203 degrees.
<u>Question asked:</u>
What is the approximate length of the arc of the section containing the peas?
<u>Solution:</u>
The central angle formed by the peas = 360° - 105° - 203°
= 52°
As we know:
Therefore, the approximate length of the arc of the section containing the peas are 5 inches.
Hey. Let me help you on this one.
In order for us to solve this problem, we will need to set up an equation which we can solve later. I will also be attaching an image with the work shown in case you don't understand my explanation. Make sure to read over it since it will help you with your studies.
We know that the length is twice the width, meaning that
, with "a" standing for length, and "b" standing for width. Now that we have formed an equation for length, we can actually form an equation for perimeter.
Let's simplify the equation so it's easier and less confusing for us to solve it.
Let's divide 6 from both sides, thus eliminating all variables except for b on the right side.
"3" in 8.3 is repeating. This is very important to remember. Now, we know the width of the triangle. Let's find the length of the triangle so we can then multiply both numbers together and find the area.
"6" in 16.6 is repeating as well. It's crucial to remember as well. We know the values now, meaning that we can find the area of the rectangle.
Answer: Area of the rectangle is 138.8 (with 8 repeating).
In order for us to solve this problem, we will need to set up an equation which we can solve later. I will also be attaching an image with the work shown in case you don't understand my explanation. Make sure to read over it since it will help you with your studies.
We know that the length is twice the width, meaning that
Let's simplify the equation so it's easier and less confusing for us to solve it.
Let's divide 6 from both sides, thus eliminating all variables except for b on the right side.
"3" in 8.3 is repeating. This is very important to remember. Now, we know the width of the triangle. Let's find the length of the triangle so we can then multiply both numbers together and find the area.
"6" in 16.6 is repeating as well. It's crucial to remember as well. We know the values now, meaning that we can find the area of the rectangle.
Answer: Area of the rectangle is 138.8 (with 8 repeating).