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jeyben [28]
3 years ago
10

SOMEONE HELPPP MEEE OUTTT PLEASEEEE!!!

Mathematics
2 answers:
Nataly [62]3 years ago
8 0

Answer:

3/5

Step-by-step explanation:

1. Establish the Equation: SinA = \frac{21}{35}

2.  simplify \frac{3}{5}

Umnica [9.8K]3 years ago
4 0

Answer:

sinA = \frac{3}{5}

Step-by-step explanation:

sinA = \frac{opposite}{hypotenuse} = \frac{BC}{AC} = \frac{21}{35} = \frac{3}{5}

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Find the area of the shaded segment of the circle.
vredina [299]

Answer:

Around 5.5 square meters

Step-by-step explanation:

You can start by finding the area of the segment. Since the rest of the circle that is not in the segment is 240 degrees, the segment is 120 degrees or a third of the circle. You can therefore find the area of that segment with the formula \frac{1}{3} \pi r^2 =3\pi square meters. Now, you need to find the area of the triangle inside the sector. This is more difficult than last time, because it is not a 90 degree angle. However, you can solve this by dividing this triangle into two 30-60-90 triangles, which you know how to find the ratio of sides for. In a 30-60-90 triangle, the hypotenuse is twice the length of the smallest leg, and the larger leg is \sqrt{3} times larger than the smaller leg. In this case, these dimensions are a base of \frac{3}{2} for the smaller leg and \frac{3\sqrt{3}}{2} for the larger leg, or the base. Using the triangle area formula and multiplying by 2 (because remember, we divided the big triangle in half), you get \frac{9\sqrt{3}}{4} square meters. Subtracting this from the area of the segment, you get about 5.5 square meters. Hope this helps!

5 0
3 years ago
Determine if the following infinite series converges or diverges
Mandarinka [93]

Using limits, it is found that the infinite sequence converges, as the limit does not go to infinity.

<h3>How do we verify if a sequence converges of diverges?</h3>

Suppose an infinity sequence defined by:

\sum_{k = 0}^{\infty} f(k)

Then we have to calculate the following limit:

\lim_{k \rightarrow \infty} f(k)

If the <u>limit goes to infinity</u>, the sequence diverges, otherwise it converges.

In this problem, the function that defines the sequence is:

f(k) = \frac{k^3}{k^4 + 10}

Hence the limit is:

\lim_{k \rightarrow \infty} f(k) = \lim_{k \rightarrow \infty} \frac{k^3}{k^4 + 10} = \lim_{k \rightarrow \infty} \frac{k^3}{k^4} = \lim_{k \rightarrow \infty} \frac{1}{k} = \frac{1}{\infty} = 0

Hence, the infinite sequence converges, as the limit does not go to infinity.

More can be learned about convergent sequences at brainly.com/question/6635869

#SPJ1

6 0
2 years ago
Read 2 more answers
Select the correct answer from each drop-down menu. In the figure, . Angles are congruent . ∠GAC ≅ ∠AFE because they are corresp
Hoochie [10]

Answer:

∠GAC ≅ ∠HFD by the Property of Congruence.

Step-by-step explanation:

I'm going to be honest the question is a little confusing cause of the beginning, but if you're looking for which angles are actually congruent it's ∠GAC ≅ ∠HFD

8 0
3 years ago
Help activity 1 and 2 , please i dont understand
Tamiku [17]

Answer:

we have to factories it in both activities..

4 0
3 years ago
Read 2 more answers
Which is not a quadrilateral?
ddd [48]

Answer:

triangle

Step-by-step explanation:

it has 3 sides, not four

5 0
3 years ago
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