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GalinKa [24]
3 years ago
5

78 students are separated into groups of eight for a field trip how many groups are there the remaining students form a smaller

group of how many students
Mathematics
1 answer:
lana [24]3 years ago
5 0

Answer:

There will be 9 groups of 8 and 1 group of 6.

Step-by-step explanation:

78/8 = 9.75

This means there will be 9 groups of 8.

The .75 represents the smaller group.

The smaller group consists of 6 people.

You can find the amount of people from .75 x 8, which equals 6.

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3 years ago
Pls help 15. Find the exact area of the shaded region of the circle shown in the diagram.
konstantin123 [22]

Answer:

  • The shaded region is 9.83 cm²

Step-by-step explanation:

<em>Refer to attached diagram with added details.</em>

<h2>Given </h2>

Circle O with:

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<h2>To find</h2>

  • The area of segment ADB.

<h2>Solution</h2>

Since r = OC + CD, the radius is 4 cm.

Consider right triangles OAC or OBC:

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Recall the property of 30°x60°x90° triangle:

  • a : b : c = 1 : √3 : 2, where a- short leg, b- long leg, c- hypotenuse.

It means OC: OA = 1 : 2, so angles AOC and BOC are both 60° as adjacent to short legs.

In order to find the shaded area we need to find the area of sector OADB and subtract the area of triangle OAB.

Area of <u>sector:</u>

  • A = π(θ/360)r², where θ- central angle,
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Area of<u> triangle AO</u>B:

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The shaded area is:

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