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galina1969 [7]
3 years ago
15

QUICKKKKKKKKFor what values of a is the sum of the fractions (2a−1)/4 and (a−1)/3 positive?

Mathematics
1 answer:
nordsb [41]3 years ago
7 0

Answer:

a>\frac7{10}

Step-by-step explanation:

\frac{2a-1}4+\frac{a-1}3>0\ \ \ \ \ |\cdot 12\\ 12\cdot\frac{2a-1}4+12\cdot\frac{a-1}3>12\cdot0\\ 3(2a-1)+4(a-1)>0\\ 6a-3+4a-4>0\\ 10a-7>0\\ 10a>7\ \ \ \ |:10\\ a>\frac7{10}

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Calculate the value of angle A and C of ∆ ABC. Where b=1435cm, a= 782cm and B= 115.6°.​
Monica [59]

The Law of Sines says

\dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c}

\sin A = \dfrac a b \sin B

A = \arcsin( \dfrac{782}{1435} \sin 115.6 ) = 29.44^\circ

We don't have to worry about the obtuse supplement because a triangle can only have one obtuse angle, and that's B.

C = 180 - 115.6 - 29.44 = 34.96^\circ

Answer: A=29.44°, C=34.96°

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3 years ago
If x= 6 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the
denpristay [2]

Answer:

discriminant is zero (0)

Step-by-step explanation:

Actually, you have a double root here:  {6, 6}:  "two real, equal roots."  That tells us immediately that the value of the discriminant was zero (0).

3 0
3 years ago
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A fleet of vehicles is comprised of 60 vans, 20 limos, and X sedans. If 10% of all vehicles are limos, how many sedans are in th
xz_007 [3.2K]
10% of all the cars is 20 limos.

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3 years ago
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Can someone help me do this
SCORPION-xisa [38]

Answer:

6

Step-by-step explanation:

Find the missing angle:

180⁰ - 82⁰ = 98⁰

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180⁰ - 98⁰ = 82⁰

The sum of both the angles is 82⁰

Write an equation:

5x + 8 + 6x + 8 = 82⁰

Collect the like terms together

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2 years ago
Solve for x: x - 10 = -12
MakcuM [25]

Answer:

The answer is -2

Step-by-step explanation:

First you do +10 on both sides leaving you with x = -2

And that is your final answer (x=-2)

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

7 0
3 years ago
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