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olya-2409 [2.1K]
3 years ago
13

Which ordered pair is in the solution set of the system of linear inequalities

Mathematics
2 answers:
kompoz [17]3 years ago
6 0
No solution
because a number can not be less than and greater than the same number.
Monica [59]3 years ago
5 0

Answer:

Option D, no solution

Step-by-step explanation:

The system of linear inequalities is

y > \frac{3}{2} (x) - 1 ------(1)

y < \frac{3}{2} (x) - 1 ------(2)

Inequality (1) has all the ordered pairs in the solution set above the line

y = \frac{3}{2} (x) - 1

and inequality (2) has all the ordered pairs in the solution set below the line

y = \frac{3}{2} (x) - 1

Therefore, solution set of these two inequalities will no be common.

Option D, no solution is the answer.

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Consider a Triangle ABC like the one below. Suppose that C = 98, A = 74, and b = 11 (figure is not drawn to scale.) solve the tr
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Answer:

A=73.8\°

B=8.2\°

c=76.3\ units

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

c^{2}= a^{2}+b^{2}-2(a)(b)cos(C)

substitute the given values

c^{2}= 74^{2}+11^{2}-2(74)(11)cos(98\°)

c^{2}=5,823.5738

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step 2

Find the measure of angle A

Applying the law of sine

\frac{a}{sin(A)}=\frac{c}{sin(C)}

substitute the given values

\frac{74}{sin(A)}=\frac{76.3}{sin(98\°)}

sin(A)=(74)sin(98\°)/76.3

A=arcsin((74)sin(98\°)/76.3)

A=73.8\°

step 3

Find the measure of angle B

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

A+B+C=180\°

substitute the given values

73.8\°+B+98\°=180\°

171.8\°+B=180\°

B=180\°-171.8\°=8.2\°

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