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3 years ago

Determine whether each number is rational or irrational.

Mathematics

1 answer:

kirill115 [55]3 years ago

5 0

Answer:

where is the question.

So basically rational numbers are numbers with decimals that are not random

ex) 3.66666666, 4.040404040, 3.5645645645646

the decimals are at a fixed order

Irrational is random decimals that makes it look weird

ex)3.141592643, 5. 782759453, 8.825928342

hope that answers your question

Step-by-step explanation:

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Use exponent properties to simplify the following expression with a positive exponent.

Alecsey [184]

$a^{-n}=\dfrac{1}{a^n}\\\\2^{-8}=\dfrac{1}{2^8}\\\\a^n\cdot a^m=a^{n+m}\\\\2^5\times2^1=2^{5+1}=2^6\\\\2^5\times2^{-8}\times2^1=\boxed{\dfrac{2^6}{2^8}}$

3 0

3 years ago

Find the distance between these two points (5,9) and (-7,-7)

Viefleur [7K]

Answer:

Step-by-step explanation:

Use the distance formula:

$d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\d = \sqrt{(-7 - 5)^2 + (-7 - 9)^2}\\d = \sqrt{(-12)^2 + (-16)^2}\\d = \sqrt{144 + 256}\\d = \sqrt{400} = 20$

8 0

3 years ago

A skate ramp is 4.2 meters long. It rises up 1.7 meters. What’s is the angle of elevation to the nearest tenth of a degree?

Kipish [7]

Θ
=
arcsin
(
.7
4.2
)
≈
10
∘
Explanation:
We view the ramp as a right triangle. The hypotenuse is 4.2 and the vertical side .7, which is opposite the angle
θ
we seek.
sin
θ
=
.7
4.2
=
1
6
I'm going to finish the problem but I'll note if we were actually building the ramp we don't need to know the angle; this sine is sufficient.
θ
=
arcsin
(
1
6
)
θ
≈
10
∘
which I think is a pretty steep ramp for a wheelchair.
There will be another inverse sine that is the supplementary angle, around
170
∘
, but we can rule that out as a value for a ramp wedge angle.

4 0

3 years ago

I need to solve for 3x+7=-x-1

Andrew [12]

3x+7=-x-1

move -x to the other side

sign changes from -x to +x

3x+x+7=-x+x-1

3x+x+7=-1

4x+7=-1

move 7 to the other side

sign changes from +7 to -7

4x+7-7=-1-7

4x=-8

Divide by 4 for both sides

4x/4=-8/4

Answer: x=-2

3 0

3 years ago

Kamrynn is looking at her five quiz scores of 96 90 94 93 and 90. Determine the mean rounded to the nearest tenth median mode an

Romashka [77]

Answer:

Mean = 90, Median = 93, Mode = 90, Range = 6

Step-by-step explanation:

Mean:

96 + 90 + 94 + 93 + 90 = 463

463 ÷ 5 = 92.5

92.5 to nearest tenth = 90

Mean = 90

Median:

90, 90, 93, 94 ,96

Median = 93

Mode

96, 90, 94, 93, 90

Mode = 90

Range:

96 - 90 = 6

Range = 6

8 0

2 years ago