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Mathematics

1 answer:

Nuetrik [128]3 years ago

4 0

Answer:

Step-by-step explanation:

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Which unit should be used when measuring the length of a state border?

son4ous [18]

Hey there!

A state border is thousands of miles long (some of them). Meters would be too small of a measurement. Centimeters is even smaller. So the answer is B. Because this uses the least amount of numbers.

I hope this helps!

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3 years ago

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An investment offers a simple interest rate of 3% per year.

Step2247 [10]

Answer:

sh 23000

Step-by-step explanation:

$i = \frac{prt}{100} = \frac{20000 \times 3 \times 5}{100} = 3000$

Amount = principal + interest = 20000+3000 = sh 23000

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2 years ago

Solve the equation on the interval [0, 2pi): 12cos^2 x-9=0<br><br><br> What to do?

siniylev [52]

Answer:

$\large\boxed{x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}}$

Step-by-step explanation:

$12\cos^2x-9=0\qquad\text{add 9 to both sides}\\\\12\cos^2x=9\qquad\text{divide both sides by 12}\\\\\cos^2x=\dfrac{9}{12}\\\\\cos^2x=\dfrac{9:3}{12:3}\\\\\cos^2x=\dfrac{3}{4}\to\cos x=\pm\sqrt{\dfrac{3}{4}}\\\\\cos x=\pm\dfrac{\sqrt3}{2}\\\\\text{Look at the picture}\\\\x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}$

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3 years ago

Find −2310+425. Write your answer as a mixed number in simplest form.

Kamila [148]

Answer: -1885/1

Explanation: The solution to -2310 added to 425 is -1885. And in order to make this whole number a fraction, you must add a 1 as the denominator.

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2 years ago

A triangle has sides measuring 15, 15, and 15 . What are the angle measures of the triangle?

deff fn [24]

The angle measures are 60, 60, 60

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3 years ago

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