Answer:
Step-by-step explanation:
The standard form of a circle's equation is
where h and k are the circle's center and r is the radius. We are told, and we can see, that the center of the circle is (0, 0) so h = 0 and k = 0. The radius, given as 4, goes into the equation squared, so the equation is
which simplifies down to
, choice C.
53 is the answer, I think
Answer:
the least common multiple is 3
x
(
x
−
2
)
Step-by-step explanation:
Answer: the area of the triangle is 23.4 cm²
Step-by-step explanation:
The given triangle is not a right angle triangle. Since two sides and one angle are known, we can either apply the Heron's formula or the Sine formula which is expressed as
Area of triangle = 1/2abSinC
Where a and b are the sides of the triangle and C is the given angle. Therefore,
Area = 1/2 × 8.2 × 6.4 × Sin63
Area = 1/2 × 8.2 × 6.4 × 0.8910
Area = 23.4 cm² to the nearest tenth.
By using the triangular inequality, we will see that no triangles can be made with these side lengths.
<h3>
How many triangles can be made with these side lengths?</h3>
Remember that for any triangle with side lengths A, B, and C, the triangular inequality must be true.
This means that the sum of any two sides must be larger than the other side.
A + B > C
A + C > B
B + C > A.
For the given side lengths, we will have:
8 in + 12 in > 24 in
8in + 24 in > 12 in
12 in + 24 in > 8 in.
Now, notice that the first inequality is false. So the triangular inequality is not meet. Then we can't make a triangle with these side lengths.
So we can make 0 unique triangles with these side lengths.
If you want to learn more about triangles:
brainly.com/question/2217700
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