The area of the sector that has a central angle of 120 degrees and radius of 8 units is 64π / 3 units²
<h3>Area of a sector</h3>
The area of a sector is defined as follows:
area = ∅ / 360 × πr²
where
- r = radius
- ∅ = central angle
Therefore,
r = 8
∅ = 120°
Hence,
area of the sector = 120 / 360 × π × 8²
area of the sector = 1 / 3 × π × 64
area of the sector = 64π / 3 units²
learn more on area here: brainly.com/question/12655272
Answer:
A, B, D
Step-by-step explanation:
Answer:
the first number equals 6
the second number equals 10
Step-by-step explanation:
3×n1 + 5×n2 = 68
3×n2 - 4×n1 = 6
3×6 + 5×10= 68
\/ \/
18 + 50= 68
3×10 - 4×6 = 6
\/ \/
30 - 24 = 6
hope this helped :)
<h3>
Answer: m = 25</h3>
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Work Shown:
Triangle ABC is congruent to triangle DEF. The order of the lettering is important because it tells us how the angles pair up. We see that angle B and angle E are the second letters of ABC and DEF respectively. Because the triangles are congruent, this leads to angle B = angle E.
Angle B is shown to be 20 degrees, so,
angle E = angle B
2(m-15) = 20
m-15 = 20/2
m-15 = 10
m = 10+15
m = 25
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A slightly alternative way to solve:
2(m-15) = 20
2m-30 = 20
2m = 20+30
2m = 50
m = 50/2
m = 25
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Checking the answer:
2(m-15) = 20
2(25-15) = 20
2(10) = 20
20 = 20
We get the same thing on both sides, so we end up with a true equation. This means the first equation is true when m = 25. The solution has been confirmed.