For this case we have that by definition, the circumference of a circle is given by:
Where:
d: Is the diameter of the circumference
According to the data we have to:
Substituting:
Rounding out we have that the diameter is: 80
Answer:
Option B
List three real-world examples that can be modeled with a sinusoidal function.
1 answer:
You might be interested in
Answer:
10. Not enough information
11. B ≈ 12.0°
12. A ≈ 34.1°
Step-by-step explanation:
10. Not enough information
11.
We need to use the Law of Sines, which states that for a triangle with lengths a, b, and c and angles A, B, and C:
Here, we can say that AB = c = 38, C = 128, and AC = b = 10. Plug these in to find B:
Solve for B:
B ≈ 12.0°
12.
Use the Law of Sines as above.
Solve for A:
A ≈ 34.1°
The <span>Pythagorean Theorem tells us that 
where c is the </span><span>hypotenuse and a and b are the other two sides. To solve for one of the shorter sides we need to rearrange:
We can then substitute known values, and solve:
</span>
We can then substitute known values, and solve:
</span>
the answer is 1/216
hope this might of helped :/
A diagram of parallelogram MNOP is attached below
We have side MN || side OP and side MP || NO
Using the rule of angles in parallel lines, ∠M and ∠P are supplementary as well as ∠M and ∠N.
Since ∠M+∠P = 180° and ∠M+∠N=180°, we can conclude that ∠P and ∠N are of equal size.
∠N and ∠O are supplementary by the rules of angles in parallel lines
∠O and ∠P are supplementary by the rules of angles in parallel lines
∠N+∠O=180° and ∠O+∠P=180°
∠N and ∠P are of equal size
we deduce further that ∠M and ∠O are of equal size
Hence, the correct statement to complete the proof is
<span>∠M ≅ ∠O; ∠N ≅ ∠P
</span>
We have side MN || side OP and side MP || NO
Using the rule of angles in parallel lines, ∠M and ∠P are supplementary as well as ∠M and ∠N.
Since ∠M+∠P = 180° and ∠M+∠N=180°, we can conclude that ∠P and ∠N are of equal size.
∠N and ∠O are supplementary by the rules of angles in parallel lines
∠O and ∠P are supplementary by the rules of angles in parallel lines
∠N+∠O=180° and ∠O+∠P=180°
∠N and ∠P are of equal size
we deduce further that ∠M and ∠O are of equal size
Hence, the correct statement to complete the proof is
<span>∠M ≅ ∠O; ∠N ≅ ∠P
</span>