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3 years ago

Is 1/4 less than 1/10

2 answers:

8 0

1/4 is GREATER than 1/10.

1/4 = 5/20

1/10 = 2/20 The common denominator is 20, so 4 can go into 20 five times, so you multiply the numerator by 5 and do the same with 1/10 but just with 10 so it is 2/20

vaieri [72.5K]3 years ago

5 0

1/4 is equal to 0.25

1/10 is equal to 0.10

so no, 1/4 is not less than 1/10

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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

For our sample of student's measurements we expect that 68% of the values to fall within one σ (0.23mm) from our mean davg (21.0

7nadin3 [17]

Answer: 74.5% of the measurements fall within one standard deviation of the average.

Step-by-step explanation:

The total number of measurements given is 2 + 12 + 10 + 33 + 40 + 76 + 80 + 65 + 52 + 22 + 12 + 5 + 11 = 420

If the mean is 21 mm and one standard deviation is 0.23 mm, then one standard deviation from the mean would be

21 ± 0.23

The lower limit is 20.77 mm

The upper limit is 21 + 0.23 = 21.23 mm

The number of measurements that fall within this range are

20.8 × 40

20.9 × 76

21.0 × 80

21.1 × 65

21.2 × 52

The total number of measurements that fall within this range is

40 + 76 + 80 + 65 + 52 = 313

The percentage of the measurements that fall within one standard deviation of the average is

313/420 × 100 = 74.5%

8 0

3 years ago

a playground is 750 M long and 250 m broad find the cost of levelling at rupees 16 per 100 square metres

barxatty [35]

Answer:

Area of play ground = Length × Breadth = 750 × 250 = 187500. a Cost of levelling the ground = 187500 × 16 100 = Rs . 30000

4 0

3 years ago

3(4 x 6)= (3 x 4) 6 is an example of the __________ property. A.commutative B.associative C. distributive D.inverse

diamong [38]

the answer is assocative

7 0

2 years ago

Read 2 more answers

Brent rode his bicycle 4 miles on Saturday. There are 1,760 yards in a mile. How many yards did Brent ride on Saturday? Explain

Jet001 [13]

Answer:

7040 yards
zeros are place holders

Step-by-step explanation:

Each mile is 1760 yards, so 4 of them is ...

4 × 1760 yards = 7040 yards

This number is written as a decimal number in a "place value" system, so the position of the digit in the number tells its value.

In order for the 7 to indicate 7 thousand, it needs to be in the "thousands" place in the number. The 0s in the hundreds and units places are called "place holders" because they ensure the other digits appear in their proper places in the number.

If it were written in Roman Numerals, it would be $\overline{\text{V}}\text{MMXL}$ . In this system, the letter tells its value (and "place" comes into account in XL, which means X is subtracted from L). The system of Roman Numerals has no zeros, and doesn't need them.

3 0

3 years ago