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3 years ago

5

The difference between two numbers is 28. The first number is three times the other number. What are the numbers? A. 14 and 42 B

. 26 and 42 C. 14 and 14 D. 15 and 43

2 answers:

notka56 [123]3 years ago

6 0

Answer: the answer is A

Step-by-step explanation:

1st:subtract 42-14=28(the difference)

2nd: divide 42÷14=3

nadezda [96]3 years ago

4 0

The answer would be A. 14 and 42

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Step-by-step explanation:

Remember that quadratic functions are parabolas when graphed. The solutions are where the parabola crosses the x-axis.

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2 years ago

Determine the point estimate of the population proportion and the margin of error for the following confidence interval.Lower bo

Kamila [148]

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The margin of error is 0.273.

Step-by-step explanation:

Confidence interval for population proportion(p):

sample proportion ± Margin of error

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Upper bound = 0.758

⇒sample proportion - Margin of error=0.212 (i)

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Since sample proportion is the point estimate of the population proportion.

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3 years ago

melisa1 [442]

Answer:

$sin O=\dfrac{3\sqrt{13}}{13}\\cos O=\dfrac{2\sqrt{13}}{13}\\tan O=\dfrac{3}{2}$

Step-by-step explanation:

If the point (2,3) is on the terminal side of an angle in standard position.

Adjacent of O, x=2,

Opposite of O, y=3

Next, we determine the hypotenuse, r using Pythagoras Theorem.

$Hypotenuse =\sqrt{Opposite^2+Adjacent^2} \\r=\sqrt{3^2+2^2} \\r=\sqrt{13}$

Therefore:

$sin O=\dfrac{Opposite}{Hypotenuse} \\sin O=\dfrac{3}{\sqrt{13}} \\$Rationalizing\\sin O=\dfrac{3\sqrt{13}}{13}$

$cos O=\dfrac{Adjacent}{Hypotenuse} \\cos O=\dfrac{2}{\sqrt{13}} \\$Rationalizing\\cos O=\dfrac{2\sqrt{13}}{13}$

$Tan O=\dfrac{Opposite}{Adjacent} \\tan O=\dfrac{3}{2}$

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