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Tatiana [17]
3 years ago
15

What is the measure of 0 ?

Mathematics
1 answer:
MrRissso [65]3 years ago
4 0

Answer:

Option A. 4 radians

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

C=2\pi r

we have

r=5\ cm

substitute

C=2\pi (5)

C=10\pi\ cm

step 2

Find the measure of angle \theta

we know that

The circumference of the circle subtends a central angle of 2π radians

so

using proportion

Find out the central angle by an arc length of 20 cm

\frac{10\pi}{2\pi}=\frac{20}{x}\\\\x=2\pi (20)/10\pi\\\\x=4\ radians

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Which coefficient matrix represents a system of linear equations that has a unique solution ?
finlep [7]

Answer:

Option C

Step-by-step explanation:

We are given a coefficient matrix along and not the solution matrix

Since solution matrix is not given we cannot check for infinity solutions.

But we can check whether coefficient matrix is 0 or not

If coefficient matrix is zero, the system is inconsistent and hence no solution.

Option A)

|A|=\left[\begin{array}{ccc}4&2&6\\2&1&3\\-2&3&-4\end{array}\right] =0

since II row is a multiple of I row

Hence no solution or infinite

OPtion B

|B|=\left[\begin{array}{ccc}2&0&-2\\-7&1&5\\4&-2&0\end{array}\right] \\=2(10)-2(10)=0

Hence no solution or infinite

Option C

\left[\begin{array}{ccc}6&0&-2\\-2&0&6\\1&-2&0\end{array}\right] \\=2(36-2)=68

Hence there will be a unique solution

Option D

\left[\begin{array}{ccc}5&10&5\\4&1&4\\-1&-2&-1\end{array}\right] \\=2(10)-2(10)=0=0

(since I row is -5 times III row)

Hence there will be no or infinite solution

Option C is the correct answer



4 0
3 years ago
Read 2 more answers
Help its for calculus
amm1812

Answer:

the first one

Step-by-step explanation:

8 0
2 years ago
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Five points are plotted on the number line which point is opposite of point E
Maru [420]

Answer:

Um, can you add the picture of the number line?

3 0
2 years ago
What is the surface area of a box that is 6 by 4 inches
san4es73 [151]

Answer:

The surface area of a box that is 6 by 4 inches is 24in²

6 0
2 years ago
Read 2 more answers
How do I solve this?
vladimir1956 [14]

Answer:

3p³ + 2p² – 3p – 11

Step-by-step explanation:

From the question given above, the following data were obtained:

Side 1 (S₁) = –1(p + 5)

Side 2 (S₂) = 2(p² – 3)

Side 3 (S₃) = 3p³ – 2p

Perimeter (P) =?

The perimeter of the triangle can be obtained as follow

P = S₁ + S₂ + S₃

P = –1(p + 5) + 2(p² – 3) + 3p³ – 2p

Clear bracket

P = –p – 5 + 2p² – 6 + 3p³ – 2p

Rearrange

P = 3p³ + 2p² – 2p – p – 6 – 5

P = 3p³ + 2p² – 3p – 11

Therefore, the perimeter of the triangle is 3p³ + 2p² – 3p – 11

4 0
2 years ago
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