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Usimov [2.4K]
2 years ago
14

What is the arc measure of \stackrel{\LARGE{\frown}}{AB}

Mathematics
2 answers:
vova2212 [387]2 years ago
3 0

Answer:

72 degrees

Step-by-step explanation:

Find the diagram attached. We are to find the length of the arc

Measure of arcABC = rtheta

16π = 10 theta

theta  = 16*180/10

theta = 16 * 18

theta = 288degrees

central angle = 360 - 288 = arc AC

central angle = 72degrees

Hence the arc measure of AC is 72 degrees

Montano1993 [528]2 years ago
3 0

Answer:

72

Step-by-step explanation:

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The football team plays at a stadium with
12345 [234]

Answer:

1,100

Step-by-step explanation:

6 0
2 years ago
Given: A, B, and C What is the value of X in the matrix equation AX + B = C?
Ksju [112]

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}

B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}

C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}

AX + B = C

AX = C - B

C - B = \begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix} = \begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}

C - B = \begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Let  X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}

AX = \begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}\times \begin{bmatrix}a & b\\ c & d\end{bmatrix}

     = \begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}

Since AX = C - B

\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Therefore, a = 1, b = 5

(-3a - 4c) = -35

3(1) + 4c = 35

3 + 4c = 35

4c = 32

c = 8

And (-3b - 4d) = -11

3(5) + 4d = 11

4d = -4

d = -1

Therefore, Option (2). X = \begin{bmatrix}1 & 5\\ 8 & -1\end{bmatrix} will be the answer.

7 0
3 years ago
Complete the table of inputs and outputs for the function
Anon25 [30]

Answer:

x >>>>>>>> f(x)

–9 >>>>>> 10

–7 >>>>>>> 0

0 >>>>>>>> –35

5 >>>>>>>> –60

Step-by-step explanation:

f(x) = –5(x + 7)

1. x = –9, f(x) =?

f(x) = –5(x + 7)

f(x) = –5(–9 + 7)

f(x) = –5(–2)

f(x) = 10

2. f(x) = 0, x =?

f(x) = –5(x + 7)

0 = –5(x + 7)

Divide both side by –5

0 / –5 = x + 7

0 = x + 7

Collect like terms

x = 0 – 7

x = –7

3. x = 0, f(x) =?

f(x) = –5(0 + 7)

f(x) = –5(7)

f(x) = –35

4. f(x) = –60, x =?

f(x) = –5(x + 7)

–60 = –5(x + 7)

Divide both side by –5

–60 / –5 = x + 7

12 = x + 7

Collect like terms

x = 12 – 7

x = 5

SUMMARY:

x >>>>>>>> f(x)

–9 >>>>>> 10

–7 >>>>>>> 0

0 >>>>>>>> –35

5 >>>>>>>> –60

4 0
3 years ago
What is (12-2i) (5+3i) multiplied?
Ilya [14]
= 12*5 + 12*3i - 5*2i - 6i^2    (remember that i^2 = -1) so:-

= 60 +26i - 6*(-1)

= 60 + 26i + 6

= 66 + 26i
5 0
3 years ago
2.24 Exit poll: Edison Research gathered exit poll results from several sources for the Wisconsin recall election of Scott Walke
iVinArrow [24]

Answer:

0.4929 = 49.29% probability that he voted in favor of Scott Walker

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Having a college degree.

Event B: Voting for Scott Walker.

They found that 57% of the respondents voted in favor of Scott Walker.

This means that P(B) = 0.57

Additionally, they estimated that of those who did vote in favor for Scott Walker, 33% had a college degree

This means that P(A|B) = 0.33

Probability of having a college degree.

33% of those who voted for Scott Walker(57%).

45% of those who voted against Scott Walker(100 - 57 = 43%). So

P(A) = 0.33*0.57 + 0.45*0.43 = 0.3816

What is the probability that he voted in favor of Scott Walker?

P(B|A) = \frac{0.57*0.33}{0.3816} = 0.4929

0.4929 = 49.29% probability that he voted in favor of Scott Walker

3 0
3 years ago
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