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3 years ago

Which fraction has a terminating decimal as its decimal expansion?

Mathematics

2 answers:

Helen [10]3 years ago

6 0

Answer:

1/5

Step-by-step explanation:

alex41 [277]3 years ago

5 0

'One third' as a decimal is 1 ÷ 3 = 0.333333..... ⇒ The decimal is recurring

'One fifth' as decimal is 1 ÷ 5 = 0.2 ⇒ The decimal terminates at the tenth value

'One seventh' as decimal 1 ÷ 7 = 0.142857142857.... ⇒ The decimal is recurring for every digit between 1 and 7

'One ninth' as decimal 1 ÷ 9 = 0.111111.... ⇒ The decimal is recurring

Answer: one fifth

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Need help please, thanks!

MakcuM [25]

Given:
1 inch : 18 kilometers

Let us use the ratio and proportion method:

a:b = c:d where ad = bc

0.8 inches is 14.4 kilometers

1 : 18 = 0.8 : x
x = 0.8 * 18
x = 14.4 km

1.4 inches is 25.2 kilometers

1: 18 = 1.4 : x
x = 18 * 1.4
x = 25.2 km

2.1 inches is 37.8 kilometers

1 : 18 = 2.1 : x
x = 18 * 2.1
x = 37.8 km

4 0

2 years ago

What is the greatest common factors of 60w,34w^2,and 24w^4

andrew11 [14]

Answer: 2w

Step-by-step explanation:

The greatest common factor could also be referred to as the Highest common factor. Now

60w, 34w² and 24w⁴

Now let concert each to its factors

60 = 2 × 2 × 3 × 5 × w

34w² = 2 × 17 × w × w

24w⁴ = 2 × 2 × 2 × 3 × w × w × w × w

Therefore H.C.F or the greatest common factor

G.C.F = 2 × w

= 2w

4 0

3 years ago

HELP ASAP 6+ x - y + 10=

Katena32 [7]

Answer:

x-y+16

Step-by-step explanation:

add the like terms, 6 and 10 which is 16. since the variables are not like terms, thats your final answer. hope it helped :)

7 0

3 years ago

You are going to spin the spinner once and flip the coin once. Write the total number of outcomes for your answer. II

garri49 [273]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Find the longer leg of the triangle.

Paha777 [63]

Answer:

Choice A. 3.

Step-by-step explanation:

The triangle in question is a right triangle.

The length of the hypotenuse (the side opposite to the right angle) is given.
The measure of one of the acute angle is also given.

As a result, the length of both legs can be found directly using the sine function and the cosine function.

Let $\text{Opposite}$ denotes the length of the side opposite to the $30^{\circ}$ acute angle, and $\text{Adjacent}$ be the length of the side next to this $30^{\circ}$ acute angle.

$\displaystyle \begin{aligned}\text{Opposite} &= \text{Hypotenuse} \times \sin{30^{\circ}}\\ &=2\sqrt{3}\times \frac{1}{2} \\&= \sqrt{3}\end{aligned}$ .

Similarly,

$\displaystyle \begin{aligned}\text{Adjacent} &= \text{Hypotenuse} \times \cos{30^{\circ}}\\ &=2\sqrt{3}\times \frac{\sqrt{3}}{2} \\&= 3\end{aligned}$ .

The longer leg in this case is the one adjacent to the $30^{\circ}$ acute angle. The answer will be $3$ .

There's a shortcut to the answer. Notice that $\sin{30^{\circ}} < \cos{30^{\circ}}$ . The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the $30^{\circ}$ angle will be the longer leg. There will be no need to find the length of the opposite leg.

Does this relationship $\sin{\theta} < \cos{\theta}$ holds for all acute angles? (That is, $0^{\circ} < \theta$ ?) It turns out that:

$\sin{\theta} < \cos{\theta}$ if $0^{\circ} < \theta$ ;
$\sin{\theta} > \cos{\theta}$ if $45^{\circ} < \theta$ ;
$\sin{\theta} = \cos{\theta}$ if $\theta = 45^{\circ}$ .

4 0

2 years ago

Read 2 more answers