Find the area of each sector. Round your answer to nearest tenth

Mathematics

2 answers:

saul85 [17]3 years ago

5 0

Answer:

area of 150° segment = 188.5 km²

Step-by-step explanation:

area of full circle = πr² = (3.14)(12²) = 452.16 km²

area of segment = (150°/360°)(452.16) = 188.5 km²

prohojiy [21]3 years ago

3 0

the area of each sector is C

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Isabelle is using a square piece of cardboard to make a box without a lid. She cuts 2-inch squares from each corner and folds up

katrin2010 [14]

<em>The dimensions of the cardboard to make a box without a lid is 11 inches by 11 inches.</em>

<h2>Explanation:</h2>

In this problem, we have that Isabelle is using a square piece of cardboard to make a box without a lid. She cuts 2-inch squares from each corner and folds up the edges. The figure below shows this statement. The finished box has a volume (V) of 98 cubic inches, in other words:

$V=98in^3$

When folding up, we get the box without lip shown in the second figure. So the volume would be:

$V=2xx \\ \\ V=2x^2 \\ \\ But: \\ \\ V=98 \\ \\ Then: \\ \\ 2x^2=98 \\ \\ x^2=49 \\ \\ x=\sqrt{49} \\ \\ x=7in$

Since te cardboard is square, then the side (s) is given by:

$s=2+x+2 \\ \\ s=2+7+2 \\ \\ s=11in$

Therefore:

<em>The dimensions of the cardboard to make a box without a lid is 11 inches by 11 inches.</em>

<h2>Learn more:</h2>

Volume of a box: brainly.com/question/10501080

#LearnWithBrainly

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3 years ago

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Alecsey [184]

Answer:

50°

Step-by-step explanation:

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3 years ago

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IgorLugansk [536]

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$9$

Step-by-step explanation:

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