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Anvisha [2.4K]
3 years ago
5

Find the arc length of ABC .

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
4 0

Answer:

C.

Step-by-step explanation:

Since the radius of the circle is 12 units, we can calculate the circumference.

2 * pi * r = 2 * pi * 12 = 24 * pi = 24pi.

The arc angle is 240 degrees, and the whole circle would be 360 degrees. So, we can set up an equation.

\frac{24\pi }{360} =\frac{x}{240}

\frac{24\pi }{6} =\frac{x}{4}

\frac{4\pi }{1} =\frac{x}{4}

1 * x = 4 * 4 * pi

x = 16pi

So, your answer is C.

Hope this helps!

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If one were to compare the median and mean household income in the United States, the two figures would be drastically different
Gekata [30.6K]

Step-by-step explanation:

<h2>The mean is the most frequently used measure of central tendency because it uses all values in the data set to give you an average. For data from skewed distributions, the median is better than the mean because it isn't influenced by extremely large values.</h2>
3 0
2 years ago
1. Which diagram shows the construction of a 45° angle
Anni [7]

Answer:

The answer is A.

Step-by-step explanation:

I pirnt the picture out and grabbed a ruler and started looking for the answer and If you look at A. with a ruler you can tell that it is a 45° angle.

5 0
3 years ago
8 x 10-3 is how many times as great as 4 x 10-6?
Levart [38]

Answer:

About two times greater.

Step-by-step explanation:

8 times 10 minus 3 equals 77.

4 times 10 minus 6 equals 34.

77 minus 34 is 43

43 minus 34 is 9.

34 can only be put into 77 two times

5 0
4 years ago
Suppose that A is nonsingular. Prove that its inverse A-1 is unique. [Hint: Show that if there exists two matrices, B and C, suc
Bogdan [553]

Answer with Step-by-step explanation:

Let A is non-singular

\mid A\mid\neq 0

We have to prove that A^{-1} is unique.

Suppose B and C are inverse of A such that

BA=I and AC=I

By using property AA^{-1}=A^{-1}A=I

C=C

(BA)C=B(AC)

I\cdot C=B\cdot I

C=B

Hence, the inverse of A is unique.

4 0
3 years ago
max invests $6000 in a savings account for 3 years. the account pays compound interest at a rate of 1.5% per year for the first
madam [21]

Answer:

2.1%

Step-by-step explanation:

The formula for compound interest is given as:

A=P(1+I)^n\\\\P-Principal \\A-amount\\i-compound \ interest \ rate

Given the Principal amount as $6000, and the rate in the first two years as 1.5%:

A=P(1+i)^n\\\\A_2=6000(1+0.015)^2\\\\A_2=6181.35

We compound A_2 for 1 year at rate i to obtain $6311.16:

A=P(1+i)^n, n=1, i=i, P=6181.35, A=6311.16\\\\6311.16=6181.35(1+i)^1\\\\\frac{6311.16}{6181.35}=(1+i)\\\\i=\frac{6311.16}{6181.35}-1\\\\i=0.02100

Hence, the compound interest rate in the third year is 2.1%

7 0
4 years ago
Read 2 more answers
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