All categories

3 years ago

Which of the following is a rational number?

Mathematics

1 answer:

____ [38]3 years ago

8 0

A rational number is a number that can be written as a fraction.

The square root of 34 is equal to ~5.83. This number cannot be written as a fraction.

Pi is not a rational number. Its digits stretch into infinity and it does not have any factors.

The square root of 64 is a rational number. The square root of 64 is 8, which can be written as a fraction, as well as being an integer.

The square root of 102 is equal to ~10.1. This is not a rational number and cannot be written as a fraction.

Therefore, the square root of 64 (Or 8) is a rational number.

Hope this helps! :)

You might be interested in

-1xf(-8)-4xg(4) pls help

KATRIN_1 [288]

Answer:

8f-16g

Step-by-step explanation:

-1×f(-8) -4×g(4)

-1×-8f -4×4g

8f -16g

Hopes this helps

pls mark brainliest

3 0

1 year ago

Read 2 more answers

What is 16.748 rounded to nearest hundredths

IrinaK [193]

Answer:

17.000

Step-by-step explanation:

You round up because 7 is closest to 10

Hope this helps :)

7 0

3 years ago

Multiple choice. Use the Law of Sines to find the missing angle of the triangle. Find m angle C to the nearest tenth if c = 111

nalin [4]

Answer:

Both A and B are possible.

Step-by-step explanation:

It's both!

This is a might tricky. First you have to find the altitude. You have to determine if this is a real triangle.

Sin(22) = opposite / hypotenuse. The hypotenuse = 111. The angle is 22

opposite = hypotenuse * sin(22)

opposite = 111 * sin(22)

opposite = 41.58 and this is the altitude.

What have you learned?

Since 42 is larger than 41.58 you have 2 solutions to the triangle. One of the angles is acute, and the other one is obtuse. They are supplementary angles.

Sin(C) / c = Sin(A) / a

Sin(C) = c * Sin(22) / 42

Sin(C) = 111*sin(22)/ 42

Sin(C) = .99003

Sin(C) = 81.9

So that's your first answer. The second answer comes from Finding the supplement to this angle

supplement + 81.9 = 180

supplement = 180 - 81.9

supplement = 98.1

7 0

3 years ago

What is the nth term?

kumpel [21]

Let $a_k$ denote the kth term of the sequence. Then

$a_k=a_1+d(k-1)$

where d is the common difference between consecutive terms in the sequence and a₁ is the first term.

The sum of the first n terms is

$S_n=\displaystyle\sum_{k=1}^na_k=a_1+a_2+\cdots+a_{n-1}+a_n$

From the formula for $a_k$ , we get

$S_n=\displaystyle\sum_{k=1}^n(a_1+d(k-1))=a_1\sum_{k=1}^n1+d\sum_{k=1}^n(k-1)$

$S_n=\displaystyle na_1+d\sum_{k=0}^{n-1}k$

$S_n=na_1+\dfrac{d(n-1)n}2$

$S_n=\dfrac n2(2a_1-d+dn)$

So we have $d=-5$ , and $2a_1-d=16$ so that $a_1=\frac{11}2$ .

Then the nth term in the sequence is

$a_n=\dfrac{11}2-5(n-1)=\boxed{\dfrac{21-10n}2}$

7 0

3 years ago

1 hundreds +5 tens +12 ones

charle [14.2K]

1 hundreds + 5 tens + 12 ones

= 100 + 50 + 12

= 162

8 0

3 years ago

Read 2 more answers