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3 years ago

The equation 9 x 2 − 12 x + 4 = 0 9 x 2 − 12 x + 4 = 0 has how many different solutions?

Mathematics

1 answer:

Hatshy [7]3 years ago

5 0

We have the equation:

$9x^2-12x+4=0$

so:

$a=9\qquad b=-12\qquad c=4$

and:

$\Delta=b^2-4ac=(-12)^2-4\cdot9\cdot4=144-144=\boxed{0}$

This equation has one solution.

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Question 1 (0.5 points)

Finger [1]

Answer:

39.91 degrees.

Step-by-step explanation:

Formula

Sin(A)/a = Sin(B) / b

Givens

A = 84
a = 31
B = ?
b = 20

Solution

Sin(84)/31 = Sin(B)/20

20*Sin(84) / 31 = Sin(B)

Sin(B) = 0.6416

B = 39.91 degrees.

====================

This looks like it is right, but you should check. Let h be the height opposite angle A.

h/20 = sin(39.91)

h = 20*sin(39.91)

h = 12.83

31 has to be longer than that amount (which it is.) So there is one solution.

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3 years ago

In an election, a candidate got 82% votes. He won the beating his rival candidate by 576 votes. How many votes were polled?

Slav-nsk [51]

Answer:

900

Step-by-step explanation:

A candidate got 82%votes.

Loosing candidate get=(100-82)=18%

Difference between two votes.

=(82-18)%=64%

Let be the Total vote is=x.

64% of the total vote=576

$Or, 64 \%\times x= 576$

$Or, \frac{64}{100} \times x = 576$

$Or,x= \frac{576 \times 100}{64}$

$Or,x=900$

∴The total votes that were polled are 900.

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2 years ago

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Answer:

K must be in range <u>$45000 ≤ k ≤ $53000 </u>to make this an effective screening device.

Step-by-step explanation:

In order for the screening device to be effective, the range of k must be such that, it is more than the pay of a worker without diploma. The extra amount must at least be equal to the cost of diploma

So the value of k must be in range from (35000 + 10000) to (35000 + 18000)

Hence,

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3 years ago

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In this question, we're trying to find how much Paul will pay per month in premiums.

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Solve:

7,710 ÷ 12 = 642.5‬0

This means that he'll pay $642.5‬0 a month.

Answer:

$642.5‬0

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3 years ago

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Answer:

Step-by-step explanation:

3x(6+3)=27, shed have 1 inch left over

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