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mr Goodwill [35]
4 years ago
11

Alan rewrites a fraction less than 1 as a decimal. The numerator is a whole number greater than 0. For which denominator will th

e fraction always convert to a terminating decimal?
Mathematics
2 answers:
klemol [59]4 years ago
6 0
The answer is D) 16

The reason why is because 16 = 2*2*2*2 has only 2 as its prime factor. Any time 2 or 5 are the prime factors of the denominator, then the decimal will terminate. Examples include fractions like 1/2, 1/5, 1/10
sp2606 [1]4 years ago
3 0

Answer:

16

Step-by-step explanation:

Took the benchmark (iready)

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Sin∅=√3-1/2 find approximate value of sec∅(sec∅+tan∅)/1+tan²∅​
Neko [114]

Answer:

The approximate value of f(\theta) = \frac{\sec \theta \cdot (\sec \theta+\tan \theta)}{1+\tan^{2}\theta} is 1.366.

Step-by-step explanation:

Let f(\theta) = \frac{\sec \theta \cdot (\sec \theta+\tan \theta)}{1+\tan^{2}\theta}, we proceed to simplify the formula until a form based exclusively in sines and cosines is found. From Trigonometry, we shall use the following identities:

\sec \theta = \frac{1}{\cos \theta} (1)

\tan\theta = \frac{\sin\theta}{\cos \theta} (2)

\cos^{2}+\sin^{2} = 1 (3)

Then, we simplify the given formula:

f(\theta) = \frac{\left(\frac{1}{\cos \theta} \right)\cdot \left(\frac{1}{\cos \theta}+\frac{\sin \theta}{\cos \theta}\right) }{1+\frac{\sin^{2}\theta}{\cos^{2}\theta} }

f(\theta) = \frac{\left(\frac{1}{\cos^{2} \theta} \right)\cdot (1+\sin \theta)}{\frac{\sin^{2}\theta + \cos^2{\theta}}{\cos^{2}\theta} }

f(\theta) = \frac{\left(\frac{1}{\cos^{2}\theta}\right)\cdot (1+\sin \theta)}{\frac{1}{\cos^{2}\theta} }

f(\theta) = 1+\sin \theta

If we know that \sin \theta =\frac{\sqrt{3}-1}{2}, then the approximate value of the given function is:

f(\theta) = 1 +\frac{\sqrt{3}-1}{2}

f(\theta) = \frac{\sqrt{3}+1}{2}

f(\theta) \approx 1.366

5 0
3 years ago
Q.The length of the minute hand of a clock is 11cm. What is the distance covered by the minute hand in 1 hour ? *
Lady_Fox [76]

Answer:

\huge\mathcal\pink{Answer(   \times )} \\  \\ \huge\mathcal\green{- 69.1 \:  cm  \:  ✓✓} \\  \\ \huge\mathfrak\purple{Hope \:  it  \: helps ...}

3 0
3 years ago
Evaluate (p√−3)+q when p = 25 and q = 21
Artist 52 [7]

Answer:

21 + 25i√3

Step-by-step explanation:

⇒ equation: (p√−3)+q

⇒ p = 25

⇒ q = 21

<em>Plug in:</em>

((25)√−3) + 21

√−3 = i√3

25i√3 + 21

7 0
3 years ago
Which is true regarding the graphed function f(x)?
dexar [7]

Answer:

The answer is f(5) = -1

5 0
3 years ago
PLEASE HELP!!!<br>I will mark you as brainleist. <br>!!!!!
SpyIntel [72]

Answer:

7.722cm^2, x=129

Step-by-step explanation:

12*12=144- area of the whole square

the diameter for the circle is 12

radius is 6

Area for circle= pi* r²

3.142*6^2=113.112

144-113.112=30.888

30.888/4=7.722

5 0
3 years ago
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