All categories

3 years ago

Classify the decimal expansion of each fraction as a terminating decimal or a repeating decimal.

Mathematics

1 answer:

nataly862011 [7]3 years ago

8 0

Answer: 17/60 = 0.283333333333

25/60 = 0.416666666667

54/72 = 0.75

31/44 = 0.704545454545

Step-by-step explanation:

You might be interested in

Simplify using trigonometric identities<br> 2sinθ - sin2θ cosθ

Anit [1.1K]

Double angle identity for sine:

$\sin(2x) = 2 \sin(x) \cos(x)$

$\implies 2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta)$

Factorize the left side.

$2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta) = 2 \sin(\theta) \left(1 - \cos^2(\theta)\right)$

Pythagorean identity:

$\cos^2(x) + \sin^2(x) = 1$

$\implies 2 \sin(\theta) \left(1 - \cos^2(\theta)\right) = 2 \sin^3(\theta)$

so that

$\boxed{2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin^3(\theta)}$

8 0

2 years ago

Evaluate tan45/sin30 . In your final answer, include all calculations.

Maslowich

From the identity $\displaystyle{ \tan x= \frac{\sin x}{\cos x}$ , and from the values:

$\sin45^{\circ}=\cos45^{\circ}= \frac{ \sqrt{2}}{2}$ ,

we have: $\displaystyle{ \tan 45^{\circ}= \frac{\sin 45^{\circ}}{\cos 45^{\circ}}= \frac{ \frac{ \sqrt{2}}{2}}{\frac{ \sqrt{2}}{2}} =1$ .

We also know that $\sin30^{\circ}= \frac{1}{2}$ .

Thus, $\displaystyle{ \frac{\tan 45^{\circ}}{\sin30^{\circ}} = \frac{1}{\frac{1}{2}}=2.$

Answer: 2

8 0

3 years ago

8. Give an example of a rational number that is NOT an integer.

snow_tiger [21]

Answer:

2.37 its a rational number because its a decimal

6 0

3 years ago

Read 2 more answers

Find the area of the segment (unshaded area) of Circle G with radius 4in. Round to the nearest tenth.

Romashka [77]

Angle is 90°

The sector is 1/4 th of circle

Area of sector

πr²/4
π(4)²/4
4πin²

Triangle is right angled

Area

1/2(4)²
16/2
8in²

Area of unshaded region

4π-8
4(π-2)
4(3.14-2)
4(1.14)
4.56in²

4 0

1 year ago

Read 2 more answers

Question 1 . What division problem does this area model represent?

Law Incorporation [45]

Answer:

Step-by-step explanation:

6 0

3 years ago